Mathematics, 05.05.2020 05:55, Killakyle4744

Which of these expressions can be used to calculate the monthly payment for
a 20-year loan for $215,000 at 5.4% interest, compounded monthly?

Answers: 2

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Answers

answered: ehsaangaminglegend

The expression would be A/nt = $\frac{P(1 + \frac{r}{n})^{nt}}{nt}$

$\frac{215,000( 1+ 0.054/12)^{12 * 20} }{12 * 20}$

Step-by-step explanation:

In this question, we are to find an expression that can be used to calculate the monthly payment.

Firstly, before we can write the expression, we need to know the amount payable at the end of the loan tenure. To find this, we will need to use the compound interest formula.

Mathematically, the amount payable at the end of loan tenure will be;

A = P( 1+ r/n)^nt

Where A is the amount payable which we want to calculate

P is the amount borrowed or the principal which is $215,000

r is the rate which is 5.4% = 5.4/100 = 0.054

n is the number of times interest is compounded per year which is 12 according to the question(monthly)

t is the number of years for the loan tenure which is 20 years according to the question

Now, we plug these value;

A = 215,000( 1+ 0.054/12)^(12 × 20)

A = 215,000(1 + 0.0045)^240

A = 215,000(1.0045)^240 = $631,574

The monthly payment would now be; the amount payable divided by the total number of months = A/nt = 631,574/240 = $2,632

answered: Guest

answer

$25\pi {ft}^{2}$

explanation

the area of a circle is calculated using the formula

$area =\pi {r}^{2}$

$area = \frac{\pi \: {d}^{2} }{4}$

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

$d = 10ft$

we substitute the diameter into the formula to get:

$area = \frac{\pi \: \times {10}^{2} }{4}$

$area = \frac{100\pi}{4}$

$area = 25\pi {ft}^{2}$

this is the exact value for the area of the circle.

the correct answer is a

1. 25pi ft^2 2. 5pi ft^2 3. 10pi ft^2 3. 20pi ft^2

answered: Guest

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

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Which of these expressions can be used to calculate the monthly payment for
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