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scoundrel [369]
3 years ago
14

You put $500 in a savings account. The account earns $15.75 simple interest in 6 months. What is the annual interest rate? Show

work step by step.
Mathematics
1 answer:
marta [7]3 years ago
3 0
So in 6 months (1/2yr) you earned $15.75 interest, if we double that we find the total interest you would gain for that year, 15.75x2= $31.5 total interest for that year.

To find the annual rate divide the interest gained by the amount deposited, 31.5/500 = 0.063% p.a.
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Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

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Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

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Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

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