Answer:
a ^ (1/12)
Step-by-step explanation:
a ^ (1/3)
---------------
a ^ (1/4)
We know that b^ c / b^ d = b ^ (c-d)
a^ (1/3 - 1/4)
getting a common denominator
1/3 *4/4 - 1/4*3/3 = 4/12 - 3/12
a^ (4/12 - 3/12)
a ^ (1/12)
Take 180 and subtract the sum of the two given angle, the answer is 62
Answer:
145
Step-by-step explanation:
y=kx
87=3k
k= 87/3
k= 29
y=29×5
y= 145
(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²
Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²
143.92 = R² → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :
circumference of a circle = 2π.R = 2.π.12 = 75.41 m
The formula for simple annual interest is:
I = Prt
where,
I = Interest accumulated = $910.90
P = Principal Amount = $62000
r = Interest rate = 9.4% = 0.094
t = time in years
Using the values in above equation, we get:
910.90 = 62000 x 0.094 x t
⇒ t = 910.90/(62000 x 0.094) = 0.156
This is the time in years. Since there are 365 days in a year, the time in days will be:
t = 0.156 x 365 = 57 (rounded to nearest day)
This means, Nate kept the borrowed money for 57 days
