Answer:
- payment: $637.30
- 5-year balance: $78,505.48
- 10-year balance: $58,991.59
Step-by-step explanation:
1. The relevant formula for computing the monthly payment A from principal P and interest rate r for loan of t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
Filling in the numbers and doing the arithmetic, we get ...
A = $93,411(0.054/12)/(1 -(1 +0.054.12)^-(12·20)) ≈ $637.30
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2. The relevant formula for computing the remaining balance after n payments of amount p on principal P at interest rate r is ...
A = P(1 +r/12)^n -p((1 +r/12)^n -1)/(r/12)
Filling in the given values and doing the arithmetic, we get ...
A = $93,411(1.0045^60) -637.30(1.0045^60 -1)/(0.0045) ≈ $78,505.48
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3. The same formula with n=120 gives ...
A = $93,411(1.0045^120) -637.30(1.0045^120 -1)/(0.0045) ≈ $58,991.59
First, we must understand what standard form of a line is. Standard form of a line is written like such that A,B, and C are all integers, and A must be positive. First, we must calculate the slope of the line that passes through theses coordinates.
<span>As a refresher, this is the equation to figure out the slope of two coordinates.Now, we just simplify the numerator and denominator. <span> </span></span>
The next step is to utilize point-slope form, which is where is a point on the line. Of course, we already know that (7,-3) and (4,-8) both lie of the line. Therefore, plug in one fot he coordinates. Once converted into point-slope, we must then convert into standard form. This is what is demonstrated in the next step.
<span>Let's multiply all sides by 3 to get rid of the fraction early.Distribute the 5 to both terms in the parentheses.Subtract 9 from both sides.Subtract 5x on both sides.We aren't done yet! The coefficient of the x-term must be positive. Therefore, divide by -1 on both sides.<span>This is standard form now, so we are done!</span></span>
Answer:
<h2>C</h2>
Step-by-step explanation:
V=0.5*b*l*h
V=0.5*10*28*12
V=10*14*12
V=10*168
V=1680 m^3 or C
