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Karolina [17]
3 years ago
12

Ashely is making $500 a week at her job. She receives a 20% pay raise. A year later she takes a 5% pay cut. How much money does

she make per week now?
Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

Answer:

<em>$570 a week</em>

Step-by-step explanation:

<u>Percentage Calculations </u>

One tricky fact about percentages is that they are usually performed over the last computed quantity. It makes them non-additive. For example, a raise of 10% followed by a 10% some time later, is NOT a 20% of total raise

The question states Ashely is making $500 a week at her job and that she receives a 20% pay raise. After that raise she will make

\$500*(1+20/100)=\$500(1.2)=\$600 \text{ a week}

A year later she takes a 5% pay cut. We must be careful to take that percentage from the last earnings. She now makes

\$600(1-5/100)=\$600(0.95)=\$570\ a\ week

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In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.
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<h2>Answer:</h2>

\boxed{\overline{MN}=37.96}

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find \overline{MN}. Since:

\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm

and \overline{MN} is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

\overline{RN}=\overline{QN}

By Pythagorean theorem, for triangle NQP:

\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}

Applying Pythagorean theorem again, but for triangle MQN:

\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}

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Answer:

200 kg


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First hour he sold 15% <em>(remaining is 85%)</em>

Second hour he sold 20% of remaining <em>(which is 85%)</em> -- so he sold (0.2)(0.85)=0.17, which is 17% (remaining 85-17=68%)

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