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Charra [1.4K]
3 years ago
14

An investment broker puts 1/12 of his paycheck into a retirement account every quarter? How much of his $84,000 salary is put in

to this account each quarter?
Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

<u>$7000</u> of his salary is put into this account each quarter.

Step-by-step explanation:

Given:

An investment broker puts 1/12 of his paycheck into a retirement account every quarter.

His salary is $84,000.

Now, to find how much is put into this account each quarter.

As given salary = $84,000.

So, amount to put into this account every quarter =

\frac{1}{12} of\ \$84,000.

=\frac{1}{12} \times 84000

=\frac{84000}{12}

=\$7000.

Therefore, $7000 of his salary is put into this account each quarter.

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4 cups = 1 quart
So 3/4 would be your answer.
8 0
3 years ago
suppose the cheetah sprinted at maximum speed for 8 minutes then slowed to 40mph the next 8 minutes how far would the cheetah ha
gtnhenbr [62]

The cheetah traveled 15.334 miles approximately.

<u>SOLUTION:</u>

Given, Suppose the cheetah sprinted at maximum speed for 8 minutes

Then, slowed to 40mph the next 8 minutes  

We have to find how far would the cheetah have traveled

Now, we know that, maximum speed of cheetah is 68 – 75 mph, as we want maximum we are taking 75 which greater than 68.

So, cheetah sprinted at 75 mph for 8 minutes and then sprinted at 40 mph for next 8 minutes.

First let us convert 8 minutes into hours,

\rightarrow 8 \text { minutes }=8 \times \frac{1}{60}=\frac{2}{15} \text { hours }

Total distance traveled = distance traveled with 75 mph speed + distance traveled with 40 mph speed

\begin{array}{l}{\text {distance}=\text {speed} \times \text {time}} \\\\ {\text {Total distance}=75 \mathrm{mph} \times \frac{2}{15} \text { hours }+40 \mathrm{mph} \times \frac{2}{15} \text { hours }} \\\\ {\text { Total distance }=5 \times 2+8 \times \frac{2}{3}=10+\frac{16}{3}=10+5.334=15.334}\end{array}

Hence, the cheetah traveled 15.334 miles approximately.

6 0
3 years ago
Read 2 more answers
Plz help I’ll mark brainliest
jeka94

Answer:

<h3>x = 22.62°</h3>

Step-by-step explanation:

To find the measure of angle x we use cosine

\cos( \alpha )  =  \frac{adjacent}{hypotenuse}

From the question

PO is the hypotenuse = 13

The adjacent is 12

Substitute the values into the above formula

That's

\cos(x)  =  \frac{12}{13}

x =  \cos^{ - 1} ( \frac{12}{13} )

x = 22.6198

We have the final answer as

<h3>x = 22.62° to the nearest hundredth</h3>

Hope this helps you

3 0
3 years ago
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Answer:

35 < 56.

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<u><em>I hope this helped at all.</em></u>

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