Luis is wrong because 8 to the third power is not 24, but is 512. He multiplied 8 by 3 instead of doing 8x8x8, so Luis made an incorrect claim.
Answer:
the answer is B
Step-by-step explanation:
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The answer would be 169.
Hope this helps.
-Benjamin
The perimeter of the enlarged garden is 16.56 meters.
<u>Step-by-step explanation:</u>
The garden is in the shape of a rectangle.
- The length of the rectangle = 5.4 meters.
- The width of the rectangle = 1.5 meters.
The Rectangle is enlarged by increasing the length and width by 20%.
<u>To find the enlarged length :</u>
The original length 5.4 is increased by 20%.
⇒ (20/100) × 5.4
⇒ 0.2 × 5.4
⇒ 1.08
- The 20% of the length is 1.08
- The enlarged length is 5.4 + 1.08 = 6.48 meters.
<u>To find the enlarged width :</u>
The original width 1.5 is increased by 20%.
⇒ (20/100) × 1.5
⇒ 0.2 × 1.5
⇒ 0.3
- The 20% of the width is 0.3
- The enlarged width is 1.5 + 0.3 = 1.8 meters.
The perimeter of the enlarged rectangle is found by substituting the enlarged values of length and width in the perimeter formula.
Perimeter of the enlarged rectangle = 2 (length + width)
⇒ 2 (6.48 + 1.8)
⇒ 2 × 8.28
⇒ 16.56 meters.
∴ The perimeter of the enlarged garden is 16.56 meters.
<span>The correct answer is D) $293.32.
Explanation:
We use the formula P=A/D, where P is the payment amount, A is the amount borrowed, and D is the discount factor.
The discount factor is given by the formula D={[(1+r)^n]-1}/[i(1+i)^n], where i is the monthly interest rate as a decimal number and n is the number of months taken for repayment.
For this problem, we have 12.5%; 12.5%=12.5/100=0.125.
This makes the monthly interest rate, i, 0.125/12=0.01042.
The number of months for repayment, n, will be 2*12=24.
Using these we have D={[1+0.01042)^24]-1}/[0.01042(1+0.01042)^24], which gives us D=21.1375.
We plug this in for D in our payment formula.
Additionally, we know that A=6200, since that is what is borrowed: P=6200/21.1375=293.32.</span>
