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Zolol [24]
3 years ago
11

What is the measure of angle S?

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0
Subtract 86-42... the answer is 44 degrees
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Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount
bazaltina [42]

Answer:

The amount needed such that when it comes time for retirement is $396721.78.

Step-by-step explanation:

Given : An individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5.1% compounded monthly.

To find : The amount needed such that when it comes time for retirement?

Solution :

Using the formula of monthly payment,

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where,

Amount = ?

Monthly payment  M=$2154

Rate r= 5.1%=0.051

i=\frac{0.05}{12}=0.00425

Time = 30 years  

n=30\times12=360

Substitute all the values,

D=\frac{1-(1+i)^{-n}}{i}

D=\frac{1-(1+0.00425)^{-360}}{0.00425}

D=\frac{1-(1.00425)^{-360}}{0.00425}

D=\frac{1-0.21723}{0.00425}  

D=\frac{0.78277}{0.00425}

D=\$184.1811

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}

2154=\frac{A}{184.1811}

A=2154\times 184.1811  

A=\$396721.778

Nearest cent, A=\$396721.78

Therefore, the amount needed such that when it comes time for retirement is $396721.78.

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4 years ago
Give the degree and end behaviors for each polynomial function. <br> 1. y = x + 4
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