Ask question

Ask question

All categories

2 years ago

5

How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after fo

ur years?

1 answer:

Iteru [2.4K]2 years ago

3 0

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

You might be interested in

At a store, Susan selected a pumpkin that weighed 35.2 ounces. • Pumpkins cost $1.80 per pound. • There are 16 ounces in 1 pound

Likurg_2 [28]

The pumpkin cost $3.96

5 0

3 years ago

Help please me please help me

Vinil7 [7]

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

3 0

3 years ago

g If a random sample of 18 deliveries was selected instead and the standard deviation of these delivery times was found to be 9.

lana [24]

Answer:

We can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got:

$z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456$

$z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279$

And using a calculator, excel or the normal standard table and we have that:

$P(0.456$

Step-by-step explanation:

We assume this previous info: It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(20,9.31)$

Where $\mu=20$ and $\sigma=9.31$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

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

And we can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got:

$z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456$

$z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279$

And using a calculator, excel or the normal standard table and we have that:

$P(0.456$

6 0

4 years ago

Select all the expressions that are equivalent to 16x + 36

Doss [256]

Answer:

C and D

Step-by-step explanation:

Here, you just have to multiply each equation out. In order, it goes:

16x + 320

16x + 36x

16x + 36

16x + 36

16x + 72

Only C and D match 16x + 36, so those are your answers.

4 0

3 years ago

Read 2 more answers

Rewrite y + 3 = 0 using function notation.

liubo4ka [24]

First rewrite as y = ..., just move the +3 to the other side (sign flips):

y = -3.

Then replace y by f(x):

f(x) = -3.

This is a straight line at y=-3.

Answer B.

4 0

3 years ago