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The time it will take the principal to grow to the desired amount is 0.7 years
Using the compound interest formula :
A = P(1 + r/n)^(nt)
A = final amount = 225,000
P = principal = 180,000
r = rate = 3.12%
n = Number of compounding times per period = 12(monthly)
t = time
225000 = 180000(1 + (0.0312 /12))^(12t)
Divide both sides by 180000
225000/180000 = (1 + (0.0312 /12))^(12t)
1.25 = 1.026^12t
Take the log of both sides
0.0969100 = 0.0111473 × 12t
0.0969100 = 0.1337676t
Divide both sides by 0.1337676 to isolate t
0.0969100 / 0.1337676 = t
0.7244 years
0.7 years
It will take 0.7 years for the amount to grow
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A is the answer of not I’m sorry for that
If the scale factor is 1, the image G' is the same as the original pont G. It is
(1, -3)
Answer:
1.15p + 285 = 5.84
Step-by-step explanation:
This problem has two equations. Total cost and Total pounds. The cost and the pounds
p = apple pounds
b = banana pounds
<u>Cost</u>
1.90p + .75b = 5.84
<u>Pounds</u>
p + b = 3.8
<u>Now we use the substitute method for system of equations to solve</u>
p + b = 3.8
b = -p + 3.8
<u>Now that we know what b equals, substitute is for b in the cost equation.</u>
1.90p + .75b = 5.84
1.90p + .75(-p+3.8) = 5.84
<u>distribute / multiply .75 by (-p+3.8)</u>
1.90p + -.75p + 2.85 = 5.84
<u>Combine the p values</u>
1.15p + 285 = 5.84
