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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Split 33 into two numbers that when added up are 33.
So 12 to 21, which when divided by 3, are 4 to 7.
Answer:
(38.1,88.6)
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= 38.3
Sample size, n = 695
Alpha, α = 0.05
Population standard deviation, σ = 3.6
95% Confidence interval:
Putting the values, we get,

The mode is 33 because it shows the most.