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4 years ago

5

What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce

nt, compounded annually?

1 answer:

xxMikexx [17]4 years ago

5 0

480/year. That's the correct math

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F(x)=ax+b/2 then f^-1 (x-1) =2x-5/2 find a and b

krok68 [10]

From the given inverse function, we have

$f^{-1}(x-1) = 2x - \dfrac52 \\\\ \implies f^{-1}(x) = f^{-1}((x+1)-1) = 2(x+1) - \dfrac52 = 2x-\dfrac12$

By definition of inverse function,

$f\left(f^{-1}(x)\right) = x$

so that

$f\left(2x-\dfrac12\right) = x$

$a\left(2x-\dfrac12\right) + \dfrac b2 = x$

$2ax - \dfrac a2 + \dfrac b2 = x$

$\implies\begin{cases}2a=1 \\\\ -\dfrac a2+\dfrac b2 = 0\end{cases}$

$\implies \boxed{a=\dfrac12}$

$\implies \dfrac b2 = \dfrac a2 \implies \boxed{b=\dfrac12}$

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3 years ago

Grace deposits $1000 in a mutual fund earning 9.25% annual interest, compounded monthly. Write an exponential function that mode

Serggg [28]

First, we calculate for the effective interest given the annual interest and the condition that it is compounded monthly.

<span> Ieff = (1 + 0.0925/12)^12 – 1 = 0.09652</span>

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3 years ago

Convert 3684 to standard form

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It’s already in standard form

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MATH HOMEWORK HELP!! >> Solving systems by GRAPHING:

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