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3 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3

Mathematics

1 answer:

alexgriva [62]3 years ago

7 0

Answer:

h(f(x)) = 2x -11

Step-by-step explanation:

h(f(x)) = h(x -7) = 2(x -7) +3 . . . . . use f(x) as the argument for function h

= 2x -14 +3 . . . . . . . eliminate parentheses; next, combine terms

h(f(x)) = 2x -11

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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

$A = P(1 + \dfrac{r}{n})^{nt}$

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

$t = \dfrac{\log 2}{4\log 1.000625}$

$t = 277$

For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0

3 years ago

How to solve the question

zavuch27 [327]

2/7 ×5/8
so 2×5 =10
and 7 ×8 = 56
your answer is 10/56

3 0

3 years ago

Read 2 more answers

Find the perimeter. Simplify your answer

meriva

Answer:

23y-8

Step-by-step explanation:

First add together all of the terms that are next to a variable:

2y+10y+5y+6y=23y

Then add together all of the integers that are alone:

-9+10+(-7)+(-2)= -8

Add the two terms together and you get:

23y-8

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