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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Check the picture below.
they're at a 3:1 ratio, thus, 3 times.
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Answer:
Option (b) is correct.
Step-by-step explanation:
Given expression "four times the square of a number is thirty-six"
We have to write it mathematically and choose the correct options out of given options.
Consider the given expression "four times the square of a number is thirty-six"
Then
let the number be x ,
Then four times the square of a number written mathematically as
And given "four times the square of a number is thirty-six" written mathematically as
Therefore, "four times the square of a number is thirty-six" written mathematically as
Option (b) is correct.