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3 years ago

Given f(x) = 4x + 1 and g(x) = A, choose the expression for (fºg)(x).

Mathematics

2 answers:

Vikki [24]3 years ago

8 0

Answer:

4x^4 + 1.

Step-by-step explanation:

(fºg)(x) = 4(x^4) + 1

- you replace the x in f(x) by A.

Alexxx [7]3 years ago

3 0

Answer:

4x^4 + 1

Step-by-step explanation:

it is same with the question you posted previously

take whole g(x) equation and replace it with the x in the f(x) function

(fog)= 4 ×(x^4) + 1 ➡ 4x^4 +1

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During a scuba dive, Lainey descended to a point 20 feet below the ocean surface.She countined her descent at a rate of 20 feet

lorasvet [3.4K]

Answer:

$20 + 20x \leq 100$

Step-by-step explanation:

Let x be the number of minutes she can continue, since she's already 20 feet below the ocean surface and is diving at the rate of 20 ft/minute, her depth with respect to x would be

20 + 20x

But she doesn't want to reach more than 100 feet below the surface

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3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

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

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. 1 choice: P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

2 choice: P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

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3 years ago

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salantis [7]

Answer:

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