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3 years ago

Given that 310 = 59 049 , what is 3-10 expressed as an exact value?

1 answer:

4 0

$x^{-n}=\frac{1}{x^n} \\ \\
3^{10}=59049 \\
3^{-10}=\frac{1}{3^{10}}=\frac{1}{59049} \\ \\
\boxed{3^{-10}=\frac{1}{59049}}$

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PLEASE HELP

katovenus [111]

Answer:

$593.26

Step-by-step explanation:

We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.

So, the resale value for 1st year = $\frac{75}{100} *2500 =$ $1875

for 2nd year = $\frac{75}{100} *1875 =$ $1406.25

for 3rd year = $\frac{75}{100} *1406.25 =$ $1054.7

for 4th year = $\frac{75}{100} *1054.7 =$ $791.01

for 5th year = $\frac{75}{100} *791.01 =$ $593.25

Or we can use the following formula to find its resale value after 5 years:

$2500*(0.75)^5 =$ $593.26

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3 years ago

2) f(x) = x² ** g(x)= 3x – 2 Find f(g(-4)

Usimov [2.4K]

Answer:

$f(g( - 4)) = 196$

Step-by-step explanation:

The functions are;

$f(x) = {x}^{2}$

and

$g(x) = 3x - 2$

We want to find

$f(g( - 4))$

First we find g(-4) to get:

$g( - 4) = 3 \times - 4 - 2$

$g( - 4) = - 12- 2$

$g( - 4) = - 14$

Now

$f(g( - 4)) = f( - 14)$

This implies that,

$f(g( - 4)) = {( - 14)}^{2}$

$f(g( - 4)) = {( - 14)} \times - 14$

$f(g( - 4)) = 196$

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