Answer:
The answer is 6b
Step-by-step explanation:
1) Regroup terms.
2) Expand by distributing terms.
3) Collect like terms .
4) Simplify.
<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>6b</u><u>.</u><u> </u>
First calculate the future value
The formula is
A=p (1+r/k)^kt
A future value?
P present value 6599.2
R interest rate. 0.042
K compounded monthly 12
T time 7 years
A=6,599.2×(1+0.042÷12)^(12×7)
A=8,850.16
Now calculate the interest earned
I=A-p
I=8,850.16−6,599.2
I=2,250.96
Hope it helps!
Answer:
Step-by-step explanation:
Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:
cross multiply: 5x = 3
divide: 5x/5 = 3/5 or x = 3/5
3/5 = 0.6 parts water
The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet
-24
Step-by-step explanation:
-2/3d -1/4d=22
First give the fractions a common denominator.
-8/12d-3/12d=22
Then combine like terms.
-11/12d=22
Then divide 22 by the coefficient - 11/12d.
This comes out to equal -24.