You are borrowing $4,285 to purchase a computer using a 36 month installment plan. Determine the annual percentage rate (APR) and the monthly payment given that the interest charge is $513.26. Round your answer to the nearest whole percent and to the nearest cent.
Answers
Let's solve for the APR and the monthly payment.
The interest charge is 513.26 dollars for 36 months
=> 36 months = 3 years
=> 513.26 / 3 years = 171.1 dollars per year is the interest.
=> 4 285 + 513.26 = 4 798.26 dollars
=> 4 798.26 dollars /3 years = 1599.42 dollars per year
=>599.42 dollars / 12 months 133.29 dollars per month
Related Questions
PLEASE HELP ME OUT IF YOU CAN
If the vertices of triangle bcd are b(-3,3), c(3,5), and d(-1,0), what is the perimeter
Help me please I have no idea what the answer is
Solve-picture question
Answers
y - 3 = -x² - 2x + 3 - 3
y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
y - 4 = -(x²) - (2x) - (1)
y - 4 = -(x² + 2x + 1)
y - 4 = -(x² + x + x + 1)
y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
y - 4 = -(x(x + 1) + 1(x + 1))
y - 4 = -(x + 1)(x + 1)
y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4
Answers
(a) A + B: The result is -4i - 6j, with a magnitude of 2√13 and a direction angle of arctan(3/2).
(b) A - B: The result is -2i + 6j, with a magnitude of 2√10 and a direction angle of arctan(-3).
The given vectors are:
B = -i - 4j
A = -3i - 2j
(a) A + B:
To add two vectors,
Simply add their corresponding components.
So, A + B = (-3i - 2j) + (-i - 4j)
Combining the i-components, we get:
-3i - i = -4i.
And combining the j-components, we get:
-2j - 4j = -6j.
Therefore, A + B = -4i - 6j.
To find the magnitude of A + B,
Use the Pythagorean theorem:
|A + B| = ,
Where x is the magnitude of the i-component and y is the magnitude of the j-component.
In this case,
x = -4 and y = -6,
So: |A + B| =
|A + B| = 2√13
To find the direction angle of A + B,
Use the arctan function:
θ = arctan(y / x),
Where y is the j-component and x is the i-component.
In this case,
x = -4 and y = -6,
so: θ = arctan(-6 / -4)
θ = arctan(3/2)
Therefore, the magnitude of A + B is 2√13 and the direction angle is arctan(3/2).
(b) A - B:
To subtract two vectors,
Subtract their corresponding components.
So, A - B = (-3i - 2j) - (-i - 4j).
Combining the i-components, we get:
-3i + i = -2i.
And combining the j-components, we get:
-2j - (-4j) = 2j + 4j = 6j.
Therefore, A - B = -2i + 6j.
To find the magnitude of A - B,
Use the Pythagorean theorem:
,
Where x is the magnitude of the i-component and y is the magnitude of the j-component.
In this case,
x = -2 and y = 6,
so:
|A - B| = 2√10
To find the direction angle of A - B,
Use the arctan function:
θ = arctan(y / x),
Where y is the j-component and x is the i-component.
In this case, x = -2 and y = 6,
so:
θ = arctan(6 / -2)
θ = arctan(-3)
Therefore,
The magnitude of A - B is 2√10 and the direction angle is arctan(-3).
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The complete question is:
For vectors B =−i −4j and A =−3i −2j ,
Calculate (a) A + B and its magnitude and direction angle, and (b) A − B and its magnitude and direction angle.
The resulting vectors after adding and subtracting vectors A and B are A + B = -4i - 6j with a magnitude of 7.21 and A - B = -2i + 2j with a magnitude of 2.83. The direction angle for the vectors are calculated using arctan of the absolute value of the components' ratios.
For vectors B = -i - 4j and A = -3i - 2j, you first need to add and subtract these vectors component-wise to get the resulting vectors. Addition gives A + B = -i + (-3i) + -4j + (-2j) = -4i - 6j, whereas subtraction gives A - B = -3i - (-i) + -2j - (-4j) = -2i + 2j.
The magnitude of a vector is calculated by the Pythagorean theorem: (magnitude of A+B) = sqrt((-4)^2 + (-6)^2) = 7.21 and (magnitude of A-B) = sqrt((-2)^2 + 2^2) = 2.83.
The direction angle is found using arctan(|Ay / Ax|), but adjustment must be made depending on the quadrant of the resulting vector. In conclusion, (a) A + B = -4i - 6j, |A + B| = 7.21, angle = arctan(6/4), and (b) A - B = -2i + 2j, |A - B|= 2.83, angle = arctan(2/2).
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Answers
Answer:
7/20
Step-by-step explanation:
Answer: 13/20
Think: How much can each of them do In 1 Hour (1/5 and 1/8) Then add those two together. Then multiply the sum by two. Finally Simplify the answer of 26/40 into 13/20
Answers
Then, 3/5 = h/4.9
h = (3 x 4.9)/5 = 2.94
Therefore, the height of the Alter Stone is 2.94 meters
Answers
Answer:
π 3.142?
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
Given: An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water.
Total drinks= 10+15+15 = 40 (Total outcomes)
Number of drink that does not contain fruit juice = Number of bottles of water = 15 (Favorable outcomes)
The probability of getting a drink that does not contain fruit juice =
So, the required probability = .