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3 years ago

What is 4 over 49 divided by 2? Please answer as soon as possible!! Thanks so much!!!!

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

In exact form that would 2 over 49 and in decimal form that would be 0.04.

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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

How to write the expression 5 more than 2 times the value of n

galina1969 [7]

Answer = 2 plus 5 times n

6 0

2 years ago

What is the value of n?<br> 121 144

Blababa [14]

Is there an equation for this?

6 0

2 years ago

The percent equivalent of 1.07 is ______ and the fraction equivalent is ______

lawyer [7]

1.07 as a percent is 107% 1.07 as a fraction is 1 1/14

Hope this helps!

6 0

3 years ago

Read 2 more answers

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juic

Shkiper50 [21]

Answer:

5 1/3

Step-by-step explanation:

Set up ratio.

2/3 cup orange juice X 2 cups pineapple juice

———————————-

1/4 cup pineapple juice

first multiply numerator : 2/3 x 2 = 4/3

and divide by denominator

(4/3)/(1/4). Keep the first. Change the sign to multiplication and Flip the second fraction.

4/3 x 4/1 = 16/3

change to proper fraction : 16/3 = 5 1/3 cups

7 0

3 years ago