Answer:
Interest earned is $25.2
Step-by-step explanation:
The formula to find simple interest is:
I = P₀rt
Where
I = interest rate
P₀ = Principal amount
r = interest rate
t= time
5 months = 5/12 years = 0.42 years
I = 1000* 6/100*0.42
I = 1000*0.06*0.42
I = 60*0.42
I = 25.2
Interest earned is $25.2
multiply all the factors in x^2
to get the roots which are 0, 11/6 and 8/7
Answer:
8.2 minutes
So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very
Step-by-step explanation:
Answer:
6+33=39 now we subtract from 100
100-39=61
He won 61 percent of the games
now we multiply 1200*0.61=732
so he won 732 of the 1200 games
Hope This Helps!!
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
