You have to divide both the numerator and the denominator and you get 1/3 and thats the simplest form
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
Answer:
1. $686.94
2. $735.03
3. $10707.55
4. $17631.94
5. $19635.72
Step-by-step explanation:
1st Question:
The interest rate is 7% for each year. This means that each year the person has to pay 7% more than the previous amount. So we need to multiply the initial amount by (0.07+1=1.07) in order to get the interest for the first year. if we want to find the second year's interests then we will have to multiply 2 (1.07)'s and so on.
in this case our function is: 600*(1.07)^t=P(t)
when t=2 P(2)=600*(1.07)^2=$686.94
2nd Question:
Function: 600*(1.07)^t=P(t)
when t=3 P(3)=600*(1.07)^3=$735.03
3rd Question:
initial value=$8500
1+0.08=1.08
Function: 8500*(1.08)^t=P(t)
t=3
P(3)=8500*(1.08)^3=$10707.55
4th Question:
initial value=$12000
1+1.08=1.08
t=5
Function: P(t)=12000*(1.08)^t
P(5)=12000*(1.08)^5=$17631.94
5th Question:
Function: 14000*(1.07)^t=P(t)
P(5)=14000*(1.07)^5
P(5)=$19635.72
We can write a proportion to resemble the problem;
AE/ED = AB/BC
AE = 9
ED = 6
AB = x
BC = 10
Substitute with the given values.
9/6 = x/10
9/6 * 10 = x/10 * 10
90/6 = x
15 = x
Therefore, the answer is 15.
Best of Luck!
