Ask question

Ask question

All categories

2 years ago

6

Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawa

ls are made, how much money, to the nearest cent, would be in the account after 17 years?

1 answer:

Natalija [7]2 years ago

4 0

Answer:

60367

Step-by-step explanation:

I = p x r x t

I = 53000 x 6.7/100 x 17

I = 60,367

You might be interested in

Please answer both with work,please use a paper and picture, thanks

Irina-Kira [14]

Answer:

a. $\frac{\textbf{17}}{\textbf{4}}$

b. $\frac{\textbf{3}}{\textbf{8}}$

Step-by-step explanation:

a. $\textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}}$

A mixed fraction of the form $a\frac{x}{y} = a + \frac{x}{y}$

$\therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4}$

$= 4 + \frac{1}{4}$

$= \frac{\textbf{17}}{\textbf{4}}$

b. $\textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}}$

A mixed fraction of the form $-c\frac{a}{b} = - c - \frac{a}{b}$

$\therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8}$

$= 1 - \frac{5}{8}$

$= \frac{8 - 5}{8}$

$= \frac{\textbf{3}}{\textbf{8}}$

Hence, the answer.

8 0

2 years ago

A recursive rule for a geometric sequence is

LuckyWell [14K]

Answer:

C. $a_n=(9)(\frac{2}{3})^{n-1}$

Step-by-step explanation:

Iterative geometric sequence:

$a_n=a_1x^{n-1}$

Recursive geometric sequence:

$a_n=xa_{n-1}$

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

$a_n=(9)(\frac{2}{3})^{n-1}$

And so the answer is C.

5 0

1 year ago

There are 84 boys in the 6th grade class. If boys make up 30% of the 6th graders, how many students are in this whole 6th grade

koban [17]

<h3>Answer: 280</h3>

Work Shown:

x = number of students in the 6th grade class

30% = 30/100 = 0.30

30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84

Divide both sides by 0.30 to isolate x

0.30x = 84

0.30x/0.30 = 84/0.30

x = 280

So there are 280 students overall in the 6th grade class.

7 0

2 years ago

Read 2 more answers

Work out the surface area of this solid prism.

zhannawk [14.2K]

THE SURFACE AREA IS 3220CM^2

3 0

1 year ago

0.6% of 25 please help

Minchanka [31]

.6 * 25 = 15
.06 * 25 = 1.5

4 0

2 years ago

Read 2 more answers