Answer:
$1013.42
Step-by-step explanation:
This one would be similar to the previous.
Initial investment, P = 800
Annual Interest rate, r = 12%
Number of compouding in a year, n = 4
Time Period, t = 2 years
Using formula:
Future value,
A = P(1+r/n)^(nt)
= 800 (1+0.12/4)^(4*2)
= 800 (1.03)^(8)
= 1013.42 (to the nearest cent)
Answer:
A linear equation can have no, one or infinite solutions.
Step-by-step explanation:
No Solution:
Consider the equation 8x - 19 = 8x + 19
Subtract 8x from both the sides. We get:
8x - 8x - 19 = 8x - 8x + 19
⇒ - 19 = 19
This is absurd. So, this system of equations has no solution.
One Solution:
For the equation 9x + 5 = 14
⇒ 9x = 9
⇒ x = 1 the only solution to the equation.
Infinite Solutions:
The solution to the equation 3x = 3x are infinite.
Whatever the value of x the equation always remains the same. So, we have infinite values of x that can satisfy the equation.
Volume of a sphere of radius r is
V = (4/3)πr³
r = 9
V = (4/3)π(9³) = 12(9²)π = 972 π
Answer : 972π cubic units
For this case we must factor the following expression:
We take common factor 5:
We have two groups within the parentheses:
Group 1:
Group 2:
We factor each group:
Group 1:
Group 2:
Rewriting we have:
Answer: