Pls tell me the answer with an explanation how you got it!
1 answer:
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Answer: a) 8.779 years
b) 8.664 years
<u>Step-by-step explanation:</u>
a)
- A: accumulated amount (balance)
- P: principal amount (original/initial investment)
- r: interest rate (convert to a decimal)
- n: number of times compounded per year
- t: number of years
Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown
b)
the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒ → (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒ → (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting in
we get ;
⇒
⇒
⇒
⇒
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .