Ask question

Ask question

All categories

3 years ago

8

Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest ra

te of 9% for x years

1 answer:

kolbaska11 [484]3 years ago

6 0

$\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x$

You might be interested in

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

3 years ago

Please help I will mark brainlist if correct

djyliett [7]

Solving for L:

P = 2L + 2W
P - 2W = 2L
(P - 2W) / 2 = L
L = (P - 2W) / 2

8 0

3 years ago

A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer corre

boyakko [2]

Answer:

16 problems.

Step-by-step explanation:

100% divided by 20 questions.

100/20 is equal to 5, therefore each question is worth 5 points.

Grade of 80% divided by points per question.

80/5 is 16 so the student answered 16 questions correctly.

6 0

2 years ago

Read 2 more answers

Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4

Murljashka [212]

Answer:

$y=4x^{3}$

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function $y=x^{3}$ which is stretched by a factor of 4.

Thus, the new function will be $y=4x^{3}$ .

Hence, the equation for the vertical stretch is $y=4x^{3}$ .

8 0

3 years ago

What's the lower bound of 3.05

Verizon [17]

Answer:

I think its 20.....

Step-by-step explanation:

Plz don't be mad if I'm wrong..... lol :/

4 0

3 years ago