The answer is 7.68. Since she gave one to her sister, she now has 6 to share with her friends. Now we can conclude the equation to solve this problem would be 6x1.28
Completely factored it is (12x^2 + 4)(x-5)
Answer:
Step-by-step explanation:
Given function,
Step 1 : Replace g(x) by y:
Step 2 : Swap x and y:
Step 3 : Solve the equation for y ( isolate y in the left side ):
Step 4: Replace y by 
:
Hence, the inverse of the function g(x) is .
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Answer:
P = 50,000
r = 0.08
i = 0.02
K = 4
n = 20
t = 5
Step-by-step explanation:
In this formula, r is the annual interest rate, 8% or 0.08. K is the number of times the interest is compounded in a year. Since interest is compounded quarterly, K = 4.
r = 0.08
i = r/K = 0.08/4
i = 0.02
t is the number of years interest is compounded, so ...
t = 5
n = Kt = 4·5
n = 20
P is the principal amount invested:
P = 50,000
Given:
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary
Complementary angles have a sum of 90°
Angle A = x + 4° ; Angle B = x
x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.
Angle A = x + 4° ⇒ 43° + 4 = 47°
Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°
Angle D = 5x ; Angle E = x
5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30° Angle E.
Angle D = 5x = 5(30) = 150°
