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OleMash [197]
3 years ago
6

the age of three brothers are consecutive even integers. three times the age of the youngest brother exceeds the oldest brother'

s age by 48 years. what is the age of the yiungest brother?
Mathematics
1 answer:
kiruha [24]3 years ago
3 0
16
x * 3 = 48
so divide 48 by 3 
which is 16 so x = 16
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Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

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t is Number of Time Periods  

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in this problem we have  

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substitute in the formula above  

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we know that

The simple interest formula is equal to

A=P(1+rt)

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in this problem we have

t=20\ years\\ P=\$8,500\\r=0.0812

substitute in the formula above

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Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

A(t)=8,500(1.0068)^{12t} ------> equation A

A(t)=8,500(1+0.0812t)  -----> equation B

using a graphing tool  

see the attached figure  

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

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