Answer:
The length of the park is 175 feet
Step-by-step explanation:
Let us solve the question
∵ The perimeter of a rectangular park is 500 feet
∵ The formula of the perimeter of the rectangle is P = 2(L + W)
∵ L is the length and W is the width
→ Equate the rule of the perimeter by 500
∴ 2(L + W) = 500
→ Divide both sides by 2
∴ L + W = 250 ⇒ (1)
∵ The length of the park is 100 feet longer than the width
→ That means L is W plus 100
∴ L = W + 100 ⇒ (2)
→ Substitute L in (1) by (2)
∵ W + 100 + W = 250
→ Add the like terms
∵ (W + W) + 100 = 250
∴ 2W + 100 = 250
→ Subtract 100 from both sides
∵ 2W + 100 - 100 = 250 - 100
∴ 2W = 150
→ Divide both sides by 2
∴ W = 75
→ Substitute the value of W in (2) to find L
∵ L = 75 + 100 = 175
∴ The length of the park is 175 feet
Answer:
21.8
Step-by-step explanation:
Answer:
it is decreased by $70,000
Step-by-step explanation:
Federal reserve sells $70,000 in treasury bonds to a bank at 9%
Answer:
$5564.87
Step-by-step explanation:
We are to determine the difference between the future values of each investment
The formula for calculating future value:
FV = P (1 + r)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
Madeline
P = Present value = 51,000
R = interest rate = 0.06125 / 365 = 0.000168
N = number of years = 13
m = number of compounding = 365
51,000 x (1.000168)^4745 = 113,070.20
Harper
51,000 x (1.004792)^156 = 107,505.33
Difference = 113,070.20 - 107,505.33 = $5,564.87
