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ollegr [7]
3 years ago
12

What is the inverse of f(x)= cube root of x +2.

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0
f(x) = \sqrt[3]{x + 2} \\y = \sqrt[3]{x + 2} \\y^{3} = x + 2 \\x^{3} = y + 2 \\x^{3} - 2 = y \\x^{3} - 2 = f^{-1}(x)
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$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the accoun
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Answer:

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

The annual growth rate is of 0.72%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$650 is invested in an account earning 8.6% interest (APR), compounded monthly.

This means that P = 650, r = 0.086, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 650(1 + \frac{0.086}{12})^{12t}

A(t) = 650(1.0072)^{12t}

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

Annual growth rate

1.0072 - 1 = 0.0072 = 0.72%

The annual growth rate is of 0.72%.

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3 years ago
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a standard six sided die. Janice rolled either a 2 or a 5 on the last 6 rolls of the die. What is the probability of Janice roll
Igoryamba

We have that   the probability of Janice rolling a 2 or 5 on her 7th toss of the dice is

\frac{1}{3}^7.

From the question we are told that

Janice rolled either a 2 or a 5 on the last 6 rolls of the die

Janice rolling a 2 or 5 on her 7th toss of the dice

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P(2/5 ) =\frac{1}{3}^7.

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

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Answer:

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Answer:

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