The monthly payment of Angelica on the loan after she graduates in 4 years is $97.22.
<h3>How do we calculate the monthly payment of a loan?</h3>
Firstly, we calculate the future value (FV) of the loan in 4 years as follows:
FV in 4 years = Loan amount * (1 + Interest rate)^4 = $16,000 * (1 + 0.056)^4 = $19,896.45
Secondly, the monthly payment is calculated using the formula for calculating the future value of an ordinary annuity as follows:
M = FV in 4 years / ((((1 + r)^n) – 1) / r) ....................... (1)
Where:
M = Monthly payment = ?
r = monthly interest rate = 0.056 / 12 = 0.00466666666666667
n = number of months = 12 years * 12 months = 144
Substituting all the relevant values into equation (1), we have:
M = $19,896.45 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)
M = $97.22
Learn more about future value here: brainly.com/question/2472793.
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We can define the speed as the quotient between the distance moved, and the time it takes to move that distance, so we have:
<u>speed = Distance/Time.</u>
Now we can rewrite this as:
<u>Distance = Speed*Time.</u>
We will find that the speed of the car was 21 mi/h.
Here the information given is:
Mr. Pipkins speed is: S = 3.5 mi/h
The car needed 27 "steps" to reach the corner.
Mr. Pipkins needed 27 + 135 = 162 "steps" to reach the same corner.
Because the number of steps is related to time and distance, the ratio between the number of steps should be the same as the ratio between the speeds:
162/27 = 6
(Pipkins needed 6 tomes more steps than the car, so the car moves 6 times faster than Pipkins)
This means that the speed of the car is 6 times larger than the speed of Mr. Pipkins.
Then the speed of the car is:
S' = 6*(3.5 mi/h) = 21 mi/h.
If you want to learn more, you can read:
brainly.com/question/24594539
Answer:
me 2
Step-by-step explanation:
Answer:
The answer for the volume of the solid is 7098.67 unit^3.
Step-by-step explanation:
As mentioned in the question semicircle y Equals
y=−√121−x^2
to the semicircle
y=√121−x^2
Base of square is,
B=2√121−x^2
Area of square:
A=b^2
Substitute:
A=(2√121−x^2)^2
=4(121−x^2)
limits are from:
−11 to 11.
Expression since the limits are -11 and 11.
