Answer:
Step-by-step explanation:
a. 660: 2^2 x 3 x 5 x 11
b. 448: 2^6 x 7
c. 1025: 5^2 x 41
d. 2^2 x 3^2 x 5^2
4 is the answer because 4x2 plus 4 equals 12
Answer:
The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.
Step-by-step explanation:
Given
Principle P = $60
Rate r = 5% = 5/100 = 0.05
Time period t = 12 years
To determine
New Balance A = ?
Using the formula
A = P(1 + rt)
A = 60(1+(0.05×12))
A = $96.00
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.
For this case we must find an expression equivalent to:
![\sqrt [7] {x} * \sqrt [7] {x} * \sqrt [7] {x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B7%5D%20%7Bx%7D%20%2A%20%5Csqrt%20%5B7%5D%20%7Bx%7D%20%2A%20%5Csqrt%20%5B7%5D%20%7Bx%7D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So, rewriting the given expression we have:

To multiply powers of the same base we put the same base and add the exponents:

Answer:
Option 1
Compatible numbers is used to find estimate to a sum. The numbers are chosen because its 'simplicity' when they are multiplied, divided, added or subtracted.
Estimate one:
We can decrease the value 1322 to 1320 and 18 to 15
Then do the sum = 1320÷15 = 88
This estimate is not far from the actual answer 1322÷18 = 73.44..
Estimate two:
We can increase 1322 to 1330 and 18 to 20
Then do the sum 1330÷20=66.50
This estimate is also not far from the actual answer 73.44...