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2 years ago

8

Mr. Nichols put $1,200 in a savings account at a local bank. The simple annual interest rate was 5%. How much interest did his a

ccount earn in 3 years?

1 answer:

satela [25.4K]2 years ago

8 0

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$1200\\ r=rate\to 5\%\to \frac{5}{100}\to &0.05\\ t=years\to &3 \end{cases} \\\\\\ I=(1200)(0.05)(3)\implies I=180$

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A random sample of 8 recent college graduates found that starting salaries for architects in New York City had a mean of $42,653

ycow [4]

Answer:

C. (36337.32, 48968.68)

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68$

The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.

The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.

So the correct answer is:

C. (36337.32, 48968.68)

3 0

2 years ago

How much tip should you leave if you want to tip 25% at PF Chang on a $37.99 bill ??

Naddik [55]

Answer:

Step-by-step explanation:

37.99 * 25%= 9.497 or $9.50 tip

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2 years ago

Can someone plz help plz show work

aliya0001 [1]

Answer:

<h2>LA = 24 ft²</h2>

Step-by-step explanation:

In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:

$h^2=4^2+3^2\\\\h^2=16+9\\\\h^=25\to h=\sqrt{25}\\\\h=5\ ft$

The Lateral Area is the sum of the areas of three rectangles:

$4\ ft\ \times\ 2\ ft\to A_1=(4)(2)=8\ ft^2\\\\3\ ft\ \times\ 2\ ft\to A_2=(3)(2)=6\ ft^2\\\\5\ ft\ \times\ 2\ \ft\to A_3=(5)(2)=10\ ft^2$

The Lateral Area:

$LA=A_1+A_2+A_3\to LA=8+6+10=24\ ft^2$

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2 years ago

Which expression has a value of 12?<br> A. 3+32<br> B. 32 +23<br> C. (4+2)2<br> D. 42-32

alekssr [168]

The answer is C because if you multiply 4 and 2 by 2 it would become 8 and 4, 8+4=12

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2 years ago

(-12,16) and (-4,-2)find the slope

cestrela7 [59]

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1 y1 x2 y2

(-12, 16) (-4,-2)

2) Remember the formula is y2-y1

--------

x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16 -18

---------= --------

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5) simplify

-18 divided by 2 -9

----- = ------- or -2 1/4

8 divided by 2 4

5 0

2 years ago

Read 2 more answers