Answer:
Let S = price of sweater
Let P = price of pants
S + P = 89.47 because that was the total spent
S = P - 8.53 because the sweater is 8.53 less than pants
Substitute P-8.53 in place of S in the
1st equation and solve for P
P - 8.53 + P = 89.47
2P - 8.53 = 89.47 add 8.53 to both sides
2P = 89.47 + 8.53
2P = 98.00 divide both sides by 2
P = 98.00/2
P = $49.00
S = P - 8.53
S = 49.00-8.53
S = $40.47
A sweater costs $40.47 and the pants cost $49.00
Answer:
<em>A = $5183.36</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:
A = $5183.36
Right side:
(1/27)^(2x+10)
=(3^-3)^(2x+10)
= 3^(-6x - 30)
Re-write both sides:
3^(4x-5) = 3^(-6x - 30)
from here, you can solve x
4x - 5 = -6x - 30
4x + 6x = -30 + 5
10x = -25
x = -2.5
9 2/3 total ounces is a total split up among 6 fruits.
So we need to divide 9 2/3 among the 6 fruits.
= 9 2/3 divide 6
= change 9 2 / 3 in improper fraction
= 9*3 + 2/3
= 29/3 divided by 6/1
= 29/3 x 1/6
= 29/18, change that to mixed fractions.
The answer is 1 11/18 ounces of each fruit.
Answer:The first table would be a proportional relationship.
Step-by-step explanation:
It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.
