2l+2w=24
l=3+w
The first equation comes from the perimeter formula. Since it is a rectangle, there are two lengths and two widths, which must all be added to get the perimeter. The second equation shows that the length is equal to the width plus three. In order to solve this equation, the substitution method should be used, since the one equation is already set equal to one of the variables (L)
2l+2w=24
l=3+w
2(3+w)+2w=24
Use distributive property to get rid of the parentheses
2(3+w)+2w=24
2(3)+2(w)+2w=24
6+2w+2w=24
Simplify like terms on the left side of the equation
6+2w+2w=24
6+4w=24
Subtract six from each side so that all of the w's are on one side
6+4w-6=24-6
4w=18
Divide each side by four to find the value of one w
4w/4=18/4
w=4.5
Plug 4.5 into the one equation to find the value of l
l=3+4.5
l=7.5
Put the numbers into the first equation and simplify:
2(7.5)+2(4.5)=24
15+9=24
24=24
So the length would be 7.5 inches, and the width would be 4.5 inches
800 is linear and 500 is exponential
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➷ Find the multiplier:
1 + (3.4/100) = 1.034
Use this formula:
Final = original x multiplier^n
n is the number of years
Substitute the values in:
final = 6000 x 1.034^3
Solve:
final = 6633.0438
This can be rounded to the final answer of £6633.04
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Answer:
-12.5%
-14.29%
Step-by-step explanation:
For #2:
Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:
0.25/2.00 = 0.125 = 12.5%
Then, since the price DECREASED by $0.25, the percent would be negative.
For #4:
Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:
0.50/3.50 = 0.1429 = 14.29%
Then, since the price DECREASED by $0.50, the percent would be negative.
30 miles is two-thirds of x (where x is the total distance)
<span>30 = (2/3)*x </span>
<span>30*3 = 2x
</span><span><span>90 = 2x
90/2 = x
45 = x
x = 45
The total length of his drive is 45 miles</span><span>
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