Answer:
shorter piece = 6. longer piece = 12
Step-by-step explanation:
short piece = s
long piece = l
l+s= 18
l= 6+s , substitute
6+s+s = 18
6+2s= 18
2s= 18-6
2s= 12
s=12/2
s= 6= shorter piece
l= 6+s
l= 6+6= 12 = longer piece
Answer:
A = $3,926.71
Step-by-step explanation:
Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years
To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?
Formula: 
Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan
First, convert R as a percent to r as a decimal
r = R/100
r = 4.1/100
r = 0.041 rate per year,
Then solve the equation for A
A = P(1 + r/n)
A = 3,200.00(1 + 0.041/12)
A = 3,200.00(1 + 0.003416667)
A = $3,926.71
Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.
You first work out the mean then for each number subtract the mean and square the result then work out the mean of those squared differences and take the square rot of that and you're done :)
L = 2W + 1..................(1)
2L + 2W = 74
2L = -2W + 74..............(2) Adding (1) and (2):-
3L = 75
L = 75/3 = 25
W = (25 - 1) / 2 = 12
length is 25 inches and width = 12 inches
Notice that the terms in parentheses on both sides of the equation are added to 4.
(3x + 4) + 4 = (5x - 4) + 4
So we can set the equation as.
3x + 4 = 5x - 4
Subtract 3x on both sides of equation.
4 = 2x - 4
Add 4 on both sides of equation.
8 = 2x
Divide both sides of equation by 2.
4 = x
4 is the only value that satisfies the statement.