What is the first step in simplifying the solution: log2 ^32 = x

Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest

Lena [83]

We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.

(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

$A=P\frac{(1+r)^{n}-1}{r}$

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.

Therefore, the amount in the account would be:

$A=1800\frac{(1+0.015)^{160}-1}{0.015}=1179415.39$

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.

(b) In this part we need to figure out the total amount she deposited.

The total amount she deposited would be $1800*160=\$288000$ .

(c) We can find the interest earned by subtracting her contribution from the answer of part (a).

Interest earned = $1179415.39-288000=\$891415.39$

7 0

4 years ago

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I still cant figure it out . ughh −2∣5w−7∣+9=−7

Fofino [41]

W=3,-1/5 is the answer

3 0

4 years ago

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If x^2 - 16 > 0, which of the following must be true?

zimovet [89]

The left hand side of the equation is a difference of two squares and may be factored out as follows,
(x - 4)(x + 4) > 0
They may be individually taken as,
x - 4 > 0 ; x > 4
x + 4 > 0 ; x < -4
Thus, the answer to this item is letter A.

5 0

3 years ago

Write the ratio of the area of a circle with radius r to the circumference of the same circle

Goshia [24]

Answer:

$\frac{r}{2\pi r} =\frac{1}{2\pi }$

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using $\pi d$ or $2\pi r$ .

We write r: $\pi d$ or r: $2\pi r$ .

We can also write in fraction form:

$\frac{r}{\pi d}$ or $\frac{r}{2\pi r} =\frac{1}{2\pi }$

6 0

4 years ago

50 points please help!!

igomit [66]

I’m really not to sure sorry about that

8 0

3 years ago

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