R= $42 rental cost per day
Mileage= $0.20 per mile
m= number of miles driven
Budget= $98 per day
EQUATION
$98> $0.20m + $42
SOLUTION
$98> $0.20m + $42
subtract 42 from both sides
$56> $0.20m
divide both sides by $0.20
280> m
They have to drive less than 280 miles per day to stay within their $98 budget.
SAME SOLUTION INEQUALITIES
Set up the equations with new numbers, substitute 280 for m and pick another variable to solve for. I chose to solve for total rental cost.
m= 280 miles per day
R= Rental cost per day
R> $0.10(280) + $50
R> $28 + $50
R> $78
Equation #1
$78> $0.10m + $50
----------
m= 280 miles per day
R= Rental cost per day
R> $0.18(280) + $44
R> $50.40 + $44
R> $94.40
Equation #2
$94.40> $0.18m + $44
ANSWER: 280> m; They have to drive less than 280 miles per day to stay within their $98 budget.
Equation #1: $78> $0.10m + $50
Equation #2: $94.40> $0.18m + $44
Hope this helps! :)
32 cm. Add all of the sides up.
Answer:
slide A= 6
slide B= 8
perimeter= 36
Area = 80
Step-by-step explanation:
The correct answer is D.
The symbol you are looking at is sigma, which means sum of all. Because the number on the bottom is 1 and the top is 6, these are the start and end numbers for our n value. Therefore, it means to add together all of the values of your expression (n -3), for all of the values with n equaling between 1 and 6. So let's plug in all of the numbers for n they ask for and see what we have.
1
1 - 3 = -2
2
2 - 3 = -1
3
3 - 3 = 0
4
4 - 3 = 1
5
5 - 3 = 2
6
6 - 3 = 3
Now, when we add all of these numbers up, we look for the answer.
-2 + -1 + 0 + 1 + 2 + 3 = 3
This is the answer we see in D
You need a compound interest formula solved for principal:
Principal = Total ÷ (1 + Rate)<span> ^ years
</span><span>
Principal = 40,000,/ (1.056) ^ 4
</span><span><span><span>Principal = 40,000 / 1.2435282985
</span>
</span>
</span>
Principal =
<span>
<span>
<span>
32,166.54
</span>
</span>
</span>
So, 32,166.54 deposited for 4 years at 5.6% interest (compounded annually) produces $40,000.
Source:
http://www.1728.org/compint2.htm
