Answer: 10,000(1.03)⁴ˣ
<u>Step-by-step explanation:</u>
A = P(1 +
)ⁿˣ
A is the amount (new balance): <u> unknown </u>
P is the principal (amount you started with): <u> 10,000 </u>
r is the interest rate: 12% = <u> .12 </u>
n is the number of times per year it is compounded: quarterly = <u> 4 </u>
x is the number of years: <u> x </u>
A = 10,000(1 +
)⁴ˣ
= 10,000(1 + .03)⁴ˣ
= 10,000(1.03)⁴ˣ
Answer:
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Step-by-step explanation:
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3.45 acres
solution :
3.75+3.75= 7.5
7.5-2.9 = 4.6
4.6×.25= 1.15
4.6-1.15= 3.45
Answer:
k=5
Step-by-step explanation:
We are provided with function, f ( x ) = 3
+ kx − 13
which is divided by x+4 gives 15.
Here,
since f(x) is divided by x+4 so we can put :
x+4 = 0
x= -4
Putting this in f(x) -----> f(-4)
f(x) = f(-4) = 3 (
) + k(-4) − 13
f(-4) = 3(16) - 4k - 13
f (-4) = 48 - 4k - 13 ------------------------------------------Equation 1
Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,
f(-4) = 15
putting in equation 1
f (-4) = 15 = 48 - 4k - 13
48 -4k - 13 = 15
35 - 4k = 15
35 - 15 = 4k (Moving - 4k on right hand side and 15 on the left)
or 20 = 4k
or 4k = 20
k = 
<h2>
k = 5</h2>
Answer: You receive 14x+45 dollars for each gallon of cider that you sell.
Step-by-step explanation:
Given: For selling each gallon of cider, the company receives x dollars.
You receive = Remaining amount
i.e. You receive $(Selling price - x)
By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars
i.e. You received 15x+45-x dollars
i.e. You received 14x+45 dollars.
Hence, you receive 14x+45 dollars for each gallon of cider that you sell.