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Flura [38]
3 years ago
9

When a loan officer speaks to people about a loan for a certain principal, P, at a certain monthly rate, r, they always have to

balance two quantities, the monthly payment, m, with the number of payments, n, it takes to pay off the loan. These two vary inversely. All of these quantities can be related by the formula:
Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

M= \frac{Pr}{1-(1+r)^{-n}}

Step-by-step explanation:

When you take a loan, the amount collected is referred to as the Principal(P).

The loan is given at a certain rate(r) in this case a Monthly Rate for a period of n months. The Monthly payment is denoted using M.

All these variables are related by the function:

M= \frac{Pr}{1-(1+r)^{-n}}

Note that if the rate is given as an Annual rate, we divide by 12 to get the monthly rate required.

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
3. Mike and Chris mowed lawns to earn money to go on a trip at the end of the month. Mike earned $20 for each lawn he mowed in h
Natali [406]

Answer:

x= The amount of lawns Mike mowed

y= The amount of lawns  Chris Mowed

Equation 1: ($20+$15)(x+y)+$50=$500

Equation 2: ($20x)+($20xy)+$50=$500

3 0
3 years ago
In the Sahara fester one day it was 136 F degrees in the Goni desert a temperature of 50 degrees f Was recorded what is the diff
allochka39001 [22]
86 degrees Fahrenheit
3 0
3 years ago
Do not understand please help <br> Thank u
AysviL [449]

Answer:

43.4

Step-by-step explanation:

You will need to use the phythagoream therom, which is a² + b² = c².  Plug the values in for the variables to get 7² + b² = 44², (c would equal the hypothenuse because the hypothenuse is the longest side of the triangle.)  Square the values to get 49 + b² = 1936.  Subtract 49 from both sides to get b² = 1887, then take the square root of both sides to get b = 43.4 (rounded to the nearest tenth.)  

I am really sorry if I'm wrong, but have a good day/night!  :)

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to<br> 4x + ?<br> o 1(-x+2)<br> o 1(-2+ 3)<br> -1(-x+ )<br> - (x + 2)
slavikrds [6]

Answer:

Definitely Option A.

When you expand the bracket of Option A... You have your equation

Which is

-1/4x + 1/2.

7 0
3 years ago
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