Answer:
A = P ( 1 + r / n) ^( t * n)
where
A = the amt owed
P = amt borrowed
r = the interest rate as a decimal
n = the number of compoundings per year
t = the number of years
A = 10000 ( 1 + .10 / 2)^(2 *1) = 10000 ( 1.05)^2 = $11025
Step-by-step explanation:
average rate of change is the slope (of the line) between the two coordinates
f(t) = -16t² + 48t + 100
f(3) = -16(3)² + 48(3) + 100 = -144 + 144 + 100 = 100 (3, 100)
f(5) = -16(5)² + 48(5) + 100 = -400 + 240 + 100 = -60 (5, -60)
m = 
= 
= 
= -80
Answer: -80 ft/sec
Answer:
a) x = 62
b) x = 33
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(2x-3) = 11
Square both sides
2x - 3 = 121
add 3 to both sides of the equation
2x = 124
divide by 2 both sides
x = 62
Let´s check:
√(2x-3) = 11
x = 62
√(2(62)-3) = 11
√(124-3) = 11
√121 = 11
11 = 11
x = 62 satisfies the equation
b) Let´s write the equation:
∛(6 - x) = -3
Cube both sides
6 - x = -27
subtract 6 to both sides
-x = -27 - 6
-x = -33
divide by -1 both sides
x = 33
Now, let´s check the result:
∛(6 - x) = -3
x = 33
∛(6 - 33) = -3
∛(-27) = -3
-3 = -3
x = 33 satisfies the equation
6n-15=n
minus n both sides
5n-15=0
add 15 both sides
5n=15
divide both sides by 5
n=3
de number is 3
