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sleet_krkn [62]
3 years ago
15

What is 1/4 of 24 solve using a tape diagram

Mathematics
1 answer:
baherus [9]3 years ago
8 0
1/4 of 24 is equals to 6
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A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
Tju [1.3M]

$ 1850 was invested in 9% account

<u>Solution:</u>

Given that  

Total amount invested by man in two saving accounts = $9493

Simple interest on one account =9%

Simple interest on second account = 10%

Total interest earned = $930.80

Need to determine amount invested in 9 % account.

Let assume amount invested in account where Simple Interest is 9% = x

And assume amount invested in account where Simple Interest is 10% = y

As total amount invested in two accounts is $9493

=> x + y = 9493      

=> y = 9493 - x                              ------(1)

\text { Simple Interest }=\frac{\text { Amount Invested } \times \text {rate of interest } \times \text {time}}{100}

\begin{array}{l}{\text { Simple interest when rate of interest is } 9 \%=\frac{x \times 9 \times 1}{100}=\frac{9 x}{100}} \\\\ {\text { Simple interest when rate of interest is } 10 \%=\frac{y \times 10 \times 1}{100}=\frac{10 y}{100}}\end{array}

As total interest earned = $930.80

\begin{array}{l}{\Rightarrow \frac{9 x}{100}+\frac{10 y}{100}=930.80} \\\\ {\Rightarrow 9 x+10 y=930.80 \times 100} \\\\ {\Rightarrow 9 x+10 y=93080}\end{array}

On substituting value of y from equation(1) in above equation , we get

9x + 10 (9493 – x) = 93080

=> 9x  + 94930 – 10x = 93080

=> -x = 93080 – 94930

=> -x = -1850

=> x = 1850  

Amount invested in account where Simple Interest is 9% = x  = $1850

Hence $1850 was invested in 9% account.

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3 years ago
The gardener comes four times each month. Each month, Katrina writes a check, and $85.40 is deducted from her bank balance to pa
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Answer:

234.85

Step-by-step explanation:

4 days earning = $85.40

so, 1 day earning will be = $85.40/4 = $21.35

Now, 11 days earning would be: $21.35 * 11 = $234.85

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3 years ago
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What is this number in expanded form?
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Answer:

100,000 + 30,000 + 900 + 80 + 7

(Brainliest please! :D)

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Karen's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 57 liters. What
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Answer:

Karen has to at least spend 11 minutes.

Step-by-step explanation:

This is because 57 - 13 = 44. 44 divided by 4 = 11. This means that in 11 minutes Karen will have a 57 liter tank. But she could keep going, but the least number of minutes would be 11 minutes, to get to 57 liters.

I hope this helps! Please mark me Brainliest if it did! Thank you and have a nice day!

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