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Klio2033 [76]
4 years ago
15

Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of

their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Mathematics
1 answer:
Tatiana [17]4 years ago
7 0

Answer:

Step-by-step explanation:

9x + 8 = 7.5x + 17

1.5x = 9

x = 6 hours

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When you have an absolute value equation like this, you drop the absolute value signs and change the sign of the value opposite of x.

For instance,

|x| = 3

Let's drop the || signs.

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$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned
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<u>Answer-</u>

<em>$2000</em><em> were invested at 5%</em>

<u>Solution-</u>

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%

We know that,

i=\dfrac{P\cdot r\cdot t}{100}

Putting the values,

i_1=\dfrac{P_1\cdot r_1\cdot t}{100}

i_1=\dfrac{x\cdot 5\cdot 1}{100}=\dfrac{5x}{100}

And

i_2=\dfrac{P_2\cdot r_2\cdot t}{100}

i_2=\dfrac{(6000-x)\cdot 3\cdot 1}{100}=\dfrac{3(6000-x)}{100}

According to the question,

\Rightarrow \dfrac{5x}{100}+\dfrac{3(6000-x)}{100}=220

\Rightarrow \dfrac{5x+3(6000-x)}{100}=220

\Rightarrow 5x+3(6000-x)=22000

\Rightarrow 5x+18000-3x=22000

\Rightarrow 5x-3x=22000-18000

\Rightarrow 2x=4000

\Rightarrow x=2000

Therefore, $2000 were invested at 5%

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3 years ago
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Answer:

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Step-by-step explanation:

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