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3 years ago

Anybody can help with this question?

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

8 0

Hope this helps! Arc CE should be 80.

True [87]3 years ago

6 0

Answer:

Step-by-step explanation:

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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0

1 year ago

Mr. Li has 16 pencils. He gives 9 pencils top some students. How many pencils does Mr. Li have now?

PIT_PIT [208]

16 - 9 = 7
7 pencils.

5 0

3 years ago

Read 2 more answers

There was no 0 ce, so how many years ago was 33 ce?

Goryan [66]

Answer:

1988 years ago.

Historians have never included a year zero, and it isn't common practice to include it.

Hope this helps,

Azumayay

5 0

2 years ago

Find the area of this pentagon

Nikolay [14]

Answer:

A≈61.94

Just plug it into a calculator

8 0

3 years ago

Every year, for the annual school bake sale,

Leno4ka [110]

Answer: Annie will have to make 228 cookies

explanation:

let y represent the total number cookies that Annie will make.

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3 years ago