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muminat
10 months ago
13

Miles fills his gas tank with 6 gallons of unleaded gas for $26.58 . How much would it cost him to fill the tank with 18 gallons

?A) $4.06B) $78C) $35.85D) $79.74
Mathematics
1 answer:
borishaifa [10]10 months ago
6 0

We will caluclate the cost per gallon first. Then, we will multiply the new quantity by this cost, so we get the new cost.

As we are told that 6 gallons costs 26.58, we can divide 26.58 by 6 to calculate the cost per gallon. It would be

\frac{26.58}{6}=4.43

Now we multiply this quantity by 18, so we get the cost of 18 gallons. It would be

4.43\cdot18=79.74

so the cost of 18 gallons is 79.74

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In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
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Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

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Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

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x= $1000.

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$1000 deposited at 2.5% and $2000 deposited at 4.5%.



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