Ask question

Ask question

All categories

3 years ago

11

Find the compound interest earned by the deposit. $16,000 @3% annually for 13 years

1 answer:

BlackZzzverrR [31]3 years ago

8 0

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=16000\left(1+\frac{0.03}{1}\right)^{1\cdot 13}\implies A=16000(1.03)^{13}\implies A\approx 23496.5394$

You might be interested in

How to solve -13=5(1 4m)-2m?

Paladinen [302]

First, you would multiply: -13 = 70m - 2m. Then, you subtract the like terms, which would be 70m - 2m: -13 = 68m. You are looking for what m is, so you would divide 68 on both sides: m = - 13 / 68. In math, people would usually like fractions more than decimals, but if you are looking for the decimal number, it would be m ≈ - 0.19.

6 0

3 years ago

Simplify the expression:<br> -<br> 4t+<br> -<br> 7t+3–10t

Gekata [30.6K]

Answer:t+3

Step-by-step explanation:

4t+7t+3-10t

11t+3-10t

t+3

8 0

3 years ago

What is the median of the data set?

cluponka [151]

Answer: 85.5

Step-by-step explanation:

There are 22 data points in the data set.

We can find the median by looking at the 11th and 12th scores, and averaging them.

The 11th score is 85

The 12th score is 86

The average of the two is 85.5

Hence the answer is 85.5

3 0

3 years ago

In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

Someone please help with this geometry question!!!

ahrayia [7]

What is the number down their?

6 0

3 years ago