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3 years ago

Evaluate: y = {2+In 3

Mathematics

1 answer:

Alenkinab [10]3 years ago

3 0

I don’t know I will only answer if you give me a slice of lasagna

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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

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1 year ago

A sequence is separated by which symbol <br><br>A ,<br>B +<br>C .

lions [1.4K]

A: ,
A comma seperates two ideas to make it a compound sentence and can link two ideas together. A plus is for math, and a period is used to end a sentence

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4 years ago

What two numbers multiply to 6 & add up to 8

Monica [59]

Answer: 2+4=6, and 2*4=8.

Step-by-step explanation:

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3 years ago

Read 2 more answers

defon

Answer:

so the distance between the police and the library is 2x-3 where x is the distance between the police and fire and distance between the library and fire is 5 so

2x-3=5

2x=8

x=4

so C

Hope This Helps!!!

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3 years ago

Carlos drew a rectangle that

Lunna [17]

Answer:

Area: 36 inches

Perimeter: 26 inches

Step-by-step explanation:

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3 years ago

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Evaluate: y = {2+In 3​

Evaluate: y = {2+In 3