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Monica [59]
3 years ago
13

Jack rents a car for one day for a fee of $25.50. the company charges $1.50 for each mile that jack drives. jack does not want t

o spend more than $60 for the fee and mileage combined. what is the greatest number of miles he can drive?]
Mathematics
1 answer:
Illusion [34]3 years ago
6 0
Let's start with the known information.
There is a set value, which is $25.50. Next it was given that the rate is $1.50 per mile. Lastly, Jack does not want to spend more than $60 total.
With these information, you can set up an inequality.
Let x be the number of miles.
1.50x + 25.50 ≤ 60
Subtract 25.50 on both sides
1.50x ≤ 34.50
Divide both sides by 1.5
x ≤ 23
This means that the greatest number of miles Jack can drive is 23.
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Answers:

  • interest = $75
  • balance at maturity = $3075

=============================================================

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

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  • r = 0.10 = annual interest rate in decimal form
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So,

i = p*r*t

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i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

---------------

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

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