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3 years ago

Evaluate the expression c=5 c to the power of 2+16

Mathematics

2 answers:

Svet_ta [14]3 years ago

6 0

25+16 which is 41 is the answer

larisa86 [58]3 years ago

3 0

Uhm. So it should look like this im assuming:
c $c^{2+16}$
If it DOES look like that then the answer would be:
$5^{2+16}$
$5^{18}$
If you need to solve it further. You would need a calculator.

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What is the volume of this solid?<br><br> A. 1104<br> B. 132<br> C. 96<br> D. 276

statuscvo [17]

For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:

The volume of the prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}$ : It is the area of the base

h: It's the height

Substituting: $V = 6 * 6 * 6\\V = 216 \ units ^ 3$

The volume of the pyramid is given by:

$V = \frac {1} {3} * L ^ 2 * h$

Where:

$L ^ 2:$ It is the area of the base

h: It's the height

Substituting:

$V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3$

We add and we have:

$V = 276 \ units ^ 3$

ANswer:

Option D

6 0

3 years ago

A newspaper advertisement offers a $6500 used car for nothing down and 36 easy monthly payments of

NNADVOKAT [17]

Using simple interest, it is found that:

The total amount paid was of $7,084.8.

The finance charge was of $584.8.

The simple interest rate was of 3%.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

$I = Prt$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

In this problem, the amount paid was of 36 monthly payments of

$196.80, hence:

36 x 196.80 = $7084.8.

The total amount paid was of $7,084.8.

The original price is of $6,500, hence the finance charge was of:

7084.8 - 6500 = $584.8.

For interest, we have that:

$I = 584.8, P = 6500, t = 3$ , hence:

$I = Prt$

$584.8 = 6500(3)r$

$r = \frac{584.8}{6500 \times 3}$

$r = 0.03$

The simple interest rate was of 3%.

More can be learned about simple interest at brainly.com/question/25296782

3 0

2 years ago

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got: