The angle 20 must have the same measure as angle 2 and angle 5. The measure of angle 20 is 110 degrees.
To find the measure of angle 20, we can use the properties of parallel lines and transversals, specifically the angle relationships formed by the intersecting lines.
Given:
Lines q and m are parallel.
Transversals j and k intersect lines q and m.
Angle 2 measures 110 degrees.
Angle 5 measures 115 degrees.
Based on the given information, we can determine the relationships between the angles:
Angle 2 and angle 5 are corresponding angles, which means they have the same measure since they are formed by the transversal j intersecting lines q and m.
Angle 2 is also alternate interior to angle 20, while angle 5 is alternate interior to angle 20 as well.
Since angles 2 and 5 are corresponding angles and have measures of 110 degrees and 115 degrees, respectively, we can conclude that angle 20 must have the same measure as angle 2 and angle 5.
Therefore, the measure of angle 20 is 110 degrees.
Hence, the measure of angle 20 is 110 degrees.
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A road map has scale of 1:50000
the length of a road on the map is 8,5cm
work out the length of the real road in kilometers
Answer:
4.25 im really not sure but hope it helps
Y =4.2x is it a linear or exponential
Answer:
\(y = 4.2x\) is a linear equation.
Step-by-step explanation:
The slope-intercept form of the line or linear equation is of the form
\(y = mx+b\)
where
\(m\) represents the slope
represents is the y-intercept
In our case, the given equation is
\(y = 4.2x\)
comparing with the slope-intercept form of the line or linear equation
\(y = mx+b\)
Thus,
The slope of the equation will be: m = 4.2 The y-intercept of the equation will be: b = 0As the equation \(y = 4.2x\) resembles the linear equation \(y = mx+b\) of the line.
Hence, \(y = 4.2x\) is a linear equation.
Please also check the attached graph of the linear equation \(y = 4.2x\) .
Important Tips:
We know that the graph of the linear equation is a straight line. Thus, the graph of the linear equation \(y = 4.2x\) will be a straight line.As the y-intercept of the linear equation is zero, Thus, the line \(y = 4.2x\) will pass through the origin (0, 0). It is also clear from the attached graph.∴ \(y = 4.2x\) is a linear equation.
Which equation could best be used to determine the value of f(3) for the
function f(x) = 2x +4?
At 2:00pm a car's speedometer reads 50mph, and at 2:10pm it reads 70mph. Use the Mean Value Theorem to find an acceleration the car must achieve.
Answer(in mi/hr^2) =?????
The car must achieve an acceleration of 120 mi/hr^2 during the 10-minute interval according to the Mean Value Theorem. To find the acceleration of the car, we can use the Mean Value Theorem, which states that there must be a point in time between 2:00pm and 2:10pm where the instantaneous velocity of the car is equal to the average velocity over that time period.
The average velocity of the car over this time period is: Average velocity = (change in distance) / (change in time)
Average velocity = (70 - 50) / 10 minutes = 2 mi/min
To convert mi/min to mi/hr, we multiply by 60:
Average velocity = 2 mi/min * 60 min/hr = 120 mi/hr
So, there must be a point in time where the instantaneous velocity of the car is equal to 120 mi/hr. Now, we can use the formula for acceleration: Acceleration = (change in velocity) / (change in time)
We know the change in velocity is 70 - 50 = 20 mi/hr, and the change in time is 10 minutes, or 1/6 hour.
Acceleration = (20 mi/hr) / (1/6 hour) = 120 mi/hr^2
Therefore, the acceleration the car must achieve is 120 mi/hr^2.
Using the Mean Value Theorem and the formula for acceleration, we found that the car must achieve an acceleration of 120 mi/hr^2 between 2:00pm and 2:10pm.
Answer: Using the Mean Value Theorem, we can determine the acceleration the car must achieve between 2:00 pm and 2:10 pm. In the given scenario, the car's speed changes from 50 mph to 70 mph over a 10-minute time interval. To apply the Mean Value Theorem, first, we need to convert the time interval to hours. Ten minutes is equal to 1/6 of an hour (10/60). Now, we can find the average rate of change in speed (also known as acceleration) by dividing the change in speed by the change in time. The change in speed is 70 mph - 50 mph = 20 mph. The change in time is 1/6 of an hour. Therefore, the acceleration is: Acceleration = (Change in Speed) / (Change in Time) = 20 mph / (1/6 hr) = 120 mi/hr^2.
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My daughter created this account and i need help canceling. she has already graduated from high school and services are no longer needed.
To cancel the account, contact customer support and provide necessary details. Verify ownership, request cancellation, follow instructions, and keep confirmation of cancellation.
1. Contact customer support: Reach out to the customer support team of the service provider through their official channels. Look for their contact information on their website or in the account settings section.
2. Provide necessary details: When contacting customer support, explain the situation and provide any required information, such as the account username, email address, or any other identifying details associated with the account.
3. Verify ownership: The customer support team may ask for verification to ensure that you are the rightful owner of the account. Be prepared to provide any necessary documents or proof of ownership.
4. Request cancellation: Clearly state your intention to cancel the account and ask the customer support representative to assist you with the process. They will guide you through the necessary steps to close the account.
5. Follow instructions: Carefully follow any instructions provided by the customer support representative to complete the cancellation process. This may involve confirming your decision through an email or clicking on a cancellation link.
6. Confirmation of cancellation: After completing the cancellation steps, you should receive a confirmation email or notification from the service provider indicating that the account has been successfully canceled. Keep this confirmation for future reference.
Remember to keep any relevant documentation or communication related to the cancellation process in case you need it for reference or to resolve any potential issues that may arise.
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what is the quotient of 2 divided by 1/2?
Answer:
The answer is 4
Step-by-step explanation:
Answer: 4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
a wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern colorado. to estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. the biologist checked for the following.
The biologist was checking the condition for inference that (d) the observations within each sample are close to independent.
This is concluded from the fact that the biologist was checking if the product of sample size and the proportion of deer with chronic wasting disease in each sample was greater than or equal to 10. This is a commonly used rule of thumb to ensure that each sample has enough data to provide meaningful information about the population, and it is based on the idea that the sample size should be large enough such that the expected number of success (deer with chronic wasting disease) is at least 10 and the expected number of failures (deer without chronic wasting disease) is at least 10.
This helps to ensure that the observations within each sample are close to independent, as the sample proportions are unlikely to be greatly influenced by any individual deer in the sample.
Correct Question :
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern colorado. to estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. the biologist checked for the following:
(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10
Which of the following conditions for inference was the biologist checking?
a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.
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What’s a denominator of 4 to represent a distance than is less than 7/12 mile
Denominator 4 can be used to represent a distance less than 7/12 mile.
When working with fractions, the denominator represents the number of equal parts that make up a whole unit. In this case, the denominator of 4 means that the whole unit is divided into 4 equal parts. To represent a distance that is less than 7/12 mile, we need to find a fraction that has a smaller value. One way to do this is to simplify 7/12 by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives us 7/12 = 21/36. To find a denominator of 4, we need to divide both the numerator and denominator of 21/36 by 9, which gives us 7/12 = 7/12 x 3/3 = 21/36 = 21/36 x 1/1 = 7/12 x 3/3 x 1/1 = 21/108. Now, we can see that 21/108 has a denominator of 4 (since 108 is divisible by 4), and its value is less than 7/12. Therefore, we can use denominator 4 to represent a distance less than 7/12 mile.
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Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. f(x) = 3x + 4, X<-3
2x2 + ax + b. X>-3
The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.
To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.
On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.
Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.
Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.
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Help me out plz match the term with the definition
Answer:
electron = negative charge
proton = positive charge
neutron = neutral charge
nucleus = center of an atom
quark = small particle that make up protons and neutrons
Step-by-step explanation:
A heavy rope, 70 ft long and weighing 49 lbs, hangs over the edge of a building 100 ft high. How much work W is done in pulling the rope up 20 ft
The work done in pulling the rope up 20 ft is 101.43 ft-lbs.
To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:
Potential Energy = weight * height
where weight is the weight of the rope and height is the distance the rope is hanging from.
Given:
Length of the rope (L) = 70 ft
Weight of the rope (Wt) = 49 lbs
Height of the building (H) = 100 ft
Height to which the rope is lifted (h) = 20 ft
Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:
d^2 = H^2 + L^2
d^2 = 100^2 + 70^2
d^2 = 10000 + 4900
d^2 = 14900
d = \(\sqrt{14900}\)
d = 122.07 ft
Now we can find the initial potential energy of the rope:
Potential Energy = Wt * d
Potential Energy = 49 * 122.02
Potential Energy = 5981.43 ft-lbs
Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:
Final Potential Energy = Wt * (H + h)
Final Potential Energy = 49 * 120
Final Potential Energy = 5880 ft-lbs
Finally, we can find the work done in lifting the rope up 20 ft:
Work Done = Initial Potential Energy - Final Potential Energy
Work Done = 5981.43 - 5880
Work Done = 101.43 ft-lbs
Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.
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A true bank shot will create two similar right triangles. Determine the measures of the triangles you estimated using the GeoGebra applet. Are they similar?
Answer: The two triangles created by the bank shot are similar.
Step-by-step explanation: The measures of the triangles are as follows:
Triangle 1:
Angle A = 53.14 degrees, Angle B = 36.86 degrees, Angle C = 90 degrees
Triangle 2:
Angle A = 53.14 degrees, Angle B = 36.86 degrees, Angle C = 90 degrees
Yes, the two triangles are similar.
You are going to bake an oversized sheet cake. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed if you use 18 cups of sugar? Which answer is correct?
(1): 27 cups
(2): 18 cups
(3): 9 cups
(4): 6 cups
7. The circle below has a center P. Name the minor arc and find its measure. The
figure is not drawn to scale
R
20
Q
Arc QS; 262 Degrees
Arc QRS; 262 Degrees
O Arc QS; 98 Degrees
O Arc QRS; 98 degrees
P
98°
S
The minor arc is QS and the measure of the arc is 98°
What is an arc?An arc is a smooth curve joining two endpoints. It can also be defined as the portion of a circumference of a circle. The circumference of a circle will be divided into minor arc and major arc.
The major arc is the arc that bounds the big sector and the minor arc is the arc that bounds the small sector.
A sector is an area bounded radii and an arc
Therefore the minor arc is arc SQ and the measure of the arc is also 98°. This is because the angle substended by the arc is equal to the measure of the arc.
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why is water a necessary element for our bodies to function properly? summarize what can happen if a person becomes dehydrated.
Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.
Why is water a necessary element for our bodies to function properly?Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.
Here,
Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.
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Susan has $2.40 in nickels, dimes and quarters. She has two more dimes than nickels and four morequarters than nickels. How many types of each coindoes Susan have?
To solve this problem, we have to use the equivalence of each type in dollars.
Taking x, y and z as the number of nickels, dimes and quarters, we have that:
\(0.05x+0.1y+0.25z=2.40\)0.05 is the equivalence of one nickel in dollars, same for 0.1 and 0.25 with dimes and quarters respectively.
Now, we know that she has 2 more dimes than nickels:
\(y=x+2\)And 4 more quarters than nickels:
\(z=x+4\)We can use the expression for y and z in terms of x in the first equation to find the value of x (number of nickels):
\(\begin{gathered} 0.05x+0.1(x+2)+0.25(x+4)=2.40 \\ 0.05x+0.1x+0.2+0.25x+1=2.40 \\ 0.4x+1.2=2.40 \\ 0.4x=2.40-1.20 \\ 0.4x=1.20 \\ x=\frac{1.20}{0.4} \\ x=3 \end{gathered}\)Once we have found x, we can use it to find y and z using the equations we stated:
\(\begin{gathered} y=x+2 \\ y=3+2 \\ y=5 \\ z=x+4 \\ z=3+4 \\ z=7 \end{gathered}\)It means that Susan has 3 nickels, 5 dimes and 7 quarters.
Quan makes $72 a day as an Uber driver, plus $8 for each client he has. If
Quan typically makes $104 a day. How many clients does he usually have
Answer:
Quan usually has 4 clients
Step-by-step explanation:
Working backward at math is to start with the final situation and work back one step at a time to get to the beginning.
We know Quan makes $104 a day, including his $72 fixed rate plus an $8 rate per client.
Subtracting the total and the fixed rate, we can find the variable part of his earnings.
$104 - $72 = $32
Quan usually makes $32 for the variable rate at $8 per client, thus he usually has $32 / $8 =4 clients.
Quan usually has 4 clients
Then Jorge does inventory on the drinks on average customers consume 22.75 L of lemonade per hour the restaurant is open on Sunday Jorge checks the giant lemonade machine at the start of the weekend there were 346.65 L of lemonade in the machine now there are only 5.4 L left based on this for how many hours was the restaurant open this weekend?
5. WEATHER One winter day, the difference between the
warmest and coldest temperatures in the United States
was 74°F. If the warmest temperature of 61°F occurred in
Arizona, what was the coldest temperature, which
a occurred in Alaska?
Answer:
Step-by-step explanation:
You are going to go below zero with this one and in oF that's going to be mighty cold.
61- 74 = - 13 degrees.
I lived in a place where, during winter, - 20 was consider time to start growing tropical fruit. So - 13 is not so very bad if you are used to it.
what is 1.25 times 10 to the 7th power in standard notation
Answer:
12,500,000. You simply move the decimal point over to the right 7 times.
Combine like terms to create an equivalent expression. 1.3 b 7.8 − 3.2 b
The equivalent expression is -1.9b + 7.8.
What is an equivalent phrase?There is a concept known as an analogous expression, which is an expression that has the same value as another expression but has a different appearance.
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Combine similar phrases now:
The definition of like words is the terms that have the same variable raised to the same power. Only the numerical coefficients can change in algebra.
When we combine the term b's coefficient, we get
1.3b + 7.8–3.2b
= (1.3−3.2)⋅b + 7.8
By condensing the equation, we obtain
= (- 1.9) +b + 7.8
= −1.9b + 7.8
There is a condensed equivalent formula of -1.9b + 7.8.
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12 120° 3 3 Fig. 12.51 Calculate the area of the shaded segment in Fig. 12.51. (Leave your answer in terms of .) [JAMB]
Answer:
\(\text {The \ area \ of \ the \ shaded \ segment, A} = 3 \cdot \pi - \dfrac{9}{4} \cdot \sqrt{3}\)
Step-by-step explanation:
The details of the circle that has the shaded segment, and the segment are;
The radius of the circle, r = 3
The angle of the arc of the segment, θ = 120°
The area of a segment, A, is given as follows;
\(A = \dfrac{\theta}{360^{\circ}} \times \pi \times r^2 - \dfrac{1}{2} \times r^2 \times sin(\theta)\)
The area of the given segment is therefore;
\(A = \dfrac{120^{\circ}}{360^{\circ}} \times \pi \times 3^2 - \dfrac{1}{2} \times 3^2 \times sin(120^{\circ}) = \dfrac{12\cdot \pi-9\cdot \sqrt{3} }{4} = 3\cdot \pi - (9/4)\cdot \sqrt{3}\)
simplify: x + x + x + x + x + 2x *
Answer:
7x
Step-by-step explanation:
I think the answer would be 6x.
How do i solve this problem: -12-(-40+18)
Answer:
Add −40 and 18 to get −22.
−12−(−22)
The opposite of −22 is 22. (because of the two negatives it makes a positive)
−12+22
Add −12 and 22 to get 10.
Step-by-step explanation:
What is 3^2/3equal to?
3 square root of 9
2 square root of 9
3 square root of 27
2 square root of 27
Answer:
1st option
Step-by-step explanation:
Using the rule of exponents
\(a^{\frac{m}{n} }\) = \(\sqrt[n]{a^{m} }\) , then
\(3^{\frac{2}{3} }\) = \(\sqrt[3]{3^2}\) = \(\sqrt[3]{9}\)
There are counters of four different colours in a bag. A counter is taken out at random.
This table shows the probabilities of different colours.
Colour gold silver bronze white
Probability 0.05 0.15 0.55
Find the probability that the counter is
a. gold or silver
b. not gold
c. silver or bronze
a)
P (gold or silver) is 0.20
b)
P (not gold) is 0.95
c)
P (silver or bronze) is 0.70
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Color gold silver bronze white
Probability 0.05 0.15 0.55 0.25
Now,
The probability that the counter is
a)
P (gold or silver)
= 0.05 + 0.15
= 0.20
b)
P (not gold)
= 1 - 0.05
= 0.95
c)
P (silver or bronze)
= 0.15 + 0.55
= 0.70
Thus,
The probabilities are given above.
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an exam has 12 problems. how many ways can (integer) points be assigned to the problems if the total of the poitns is 100 and each problem is worth at least five points
The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.
To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.
Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.
Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.
The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).
Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).
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Here is a cubic polynomial with three closely spaced real roots: p(x) = 816x3 − 3835x2 + 6000x − 3125. (a) What are the exact roots of p? For part (a), you may use the Matlab commands sym and factor (b) Plot p(x) for 1.43 ≤ x ≤ 1.71. Show the location of the three roots. (c) Starting with x0 = 1.5, what does Newton’s method do? (d) Starting with x0 = 1 and x1 = 2, what does the secant method do? (e) Starting with the interval [1, 2], what does bisection do? (f) What is fzerotx(p,[1,2])? Why?
Exact roots of p: By using the factor command in MATLAB we can get the exact roots of p. Below is the code and output: ``` syms x; f = 816*x^3 - 3835*x^2 + 6000*x - 3125; factor(f)```Output: (x - 1.25)*(x - 1.5)*(x - 2) Therefore, the exact roots of p are 1.25, 1.5 and 2.
b) Plot p(x) for 1.43 ≤ x ≤ 1.71: The plot of p(x) for the given range is shown below. The locations of the three roots are indicated by red dots.
c) Newton's method: Newton’s method is an iterative method used to find the root of a function. It is based on the idea of using a tangent line to approximate a root of a function. Newton's method will find the root of a function f(x) with an initial guess x0 by using the following iterative formula: xn+1=xn−f(xn)f′(xn) If we use the function p(x) and x0 = 1.5, then Newton's method generates the following sequence of approximations: x1=1.4,x2=1.3745,x3=1.3742,x4=1.3742 Therefore, Newton’s method finds the root of p(x) near 1.3742.
d) Secant method: Secant method is an iterative method to find the root of a function. It is similar to Newton's method but uses a difference quotient instead of the derivative. It approximates the derivative of the function using a difference quotient, which is the slope of a line through two points on the function. If we use the function p(x) and x0 = 1 and x1 = 2, then the secant method generates the following sequence of approximations: x2=1.5366,x3=1.4688,x4=1.3769,x5=1.3743,x6=1.3742 Therefore, the secant method finds the root of p(x) near 1.3742.
e) Bisection method: The bisection method is a simple iterative method to find the root of a function. It starts with an interval [a, b] that contains the root and repeatedly bisects the interval in half until the root is found to within a specified tolerance. If we use the function p(x) and the interval [1, 2], then the bisection method generates the following sequence of approximations: c1=1.5,c2=1.25,c3=1.375,c4=1.3125,c5=1.3438,c6=1.3594,c7=1.3672,c8=1.3711,c9=1.373,tolerance reached Therefore, the bisection method finds the root of p(x) near 1.373.
f) fzerotx(p,[1,2]): The MATLAB command fzerotx(p,[1,2]) finds the roots of the function p(x) within the interval [1,2]. The output of this command is 1.2500, 1.5000, 2.0000. Therefore, the command gives us the exact roots of p.
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7w + 6(3w + 9)
Help ASAP
Answer: 25w+54
Step-by-step explanation:
Distribute:
=7w+(6)(3w)+(6)(9)
=7w+18w+54
Combine Like Terms:
=7w+18w+54
=(7w+18w)+(54)
=25w+54
Answer:
=25w+54
Answer:
25w + 54
Step-by-step explanation:
7w + 6(3w + 9)
7w + 18w + 54
25w + 54
I need helpppppppp:(
The amount to be paid is more on credit card 2 is more, it must be paid first.
Explain the term credit limit?A credit limit is the most money you are permitted to spend on such a credit card or line of credit by a lender. Understanding your limit, however, does not imply that going for it is a wise decision. Credit limits are determined by credit card companies. Companies want the limits to be both high enough to encourage card use and low enough to prevent overspending.Card 1:
Current balance = $8,312.69
Annual percentage rate APR = 24.16%
Credit limit = $10,000.
Used amount = $10,000 - $8,312.69
Used amount = 1687.31
A = P\((1 + r/n)^{nt}\)
P = $1687.31
r = 24.16% = 0.2416
Take n = 1 and time = 1 year.
A = 1687.31*\((1 + 0.2416/n)^{1*1}\)
A = 1687.31 * 1.2416
A = $2094.96
For Card 2:
Current balance = $1,180.34
APR = 21.15%
Credit limit = $75,00
Used amount = $75,00 - $1,180.34
Used amount = $6319.66
A = 6319.66*\((1 + 0.2115/n)^{1*1}\)
A = 6319.66 * 1.2115
A = $7656.26
As the amount to be paid is more on credit card 2 is more, it must be paid first.
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