All categories

3 years ago

What would be the future value of a savings account started with $675, earning 9 percent (compounded annually) after 7 years? (?

1 answer:

5 0

The formula is
A=p (1+r)^t
A future value?
P present value 675
R interest rate 0.09
T time 7 years
A=675×(1+0.09)^(7)=1,233.93

You might be interested in

The quotient of a number x and −1.5 is 21

Andru [333]

Answer:

x = -31.5

Explanation:

We are given that the quotient of x and -1.5 is 21

This means that:

$\frac{x}{-1.5} =21$

To get the value of x, we will multiply both sides of the equation by -1.5

This means that:

$\frac{x}{-1.5} * -1.5=21*-1.5$

x = -31.5

Note that the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)

Hope this helps :)

3 0

3 years ago

-14+7-9r+13r someone please helpp !

JulsSmile [24]

Answer:

4r-7

Step-by-step explanation:

-14+7-9r+13r

combine like terms

4r-14+7

combine like terms

4r-7

hope this helped :)

4 0

3 years ago

Read 2 more answers

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

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

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

3 years ago

When Famke charges her phone, it gains 222 percentage points each minute. When Famke uses her phone, it loses 555 percentage poi

Charra [1.4K]

To answer this you can use a guess and check strategy.

Start with 5 minutes using it (25% lost) and 10 minutes charging (20% gained).

Try 7 minutes using it (35% lost) and 14 minutes charging (28%).

Next, 9 minutes (45%) and 18 minutes(36%).

10 minutes (50%) and 20 minutes (40%). This is the difference.

She used it for 10 minutes and charged it for 20 minutes.

6 0

3 years ago

Read 2 more answers

Order the integers {0, |-20|, -3, 19, -13} from least to greatest

tatiyna

Answer:

-20, -13, -3 0, 19

Step-by-step explanation:

With negative the higher the number the lower the value

4 0

3 years ago