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Elan Coil [88]
3 years ago
15

It takes Cindy 3/4 of an hour to complete a puzzle. How many puzzles can she finish in 3 hours?

Mathematics
1 answer:
Naily [24]3 years ago
5 0
This means that you have to divide 3 by 3/4. So, let's just do that

3 divided by 3/4
3 times 4/3
4

So, Cindy would be able to solve 4 puzzles in 3 hours.

Hope this helps :D
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Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


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