compound interest equation for annually compounded

A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t

divide both sides by 1000

take ln of both sides

use ln rule 

divide both sides by ln(1.055)

using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
Answer:
C, f(x) = 3(2)^x
Step-by-step explanation:
Since the y-intercept is 3, the function will have 3 multiplying by some number to the power of x.
As x increases by 1, we notice that y multiplies by 2 every time.
This leads us to believe that the equation is 3 * 2^x
You have to get r by itself on one side. Multiply both sides by 238 to cancel it out of the denominator on the left side.
You are left with r = 8 × 238 or r = 1904.
To check, plug 1904 back into the equation.
1904 ÷ 238 = 8
8 = 8 (True)
74% means 0.74
"of" means "times"
So, 128 = 0.74 times (the number)
Divide each side of this equation by 0.74 :
128/0.74 = the number
<em>172.973</em> (rounded) = the number
Answer:
A
Step-by-step explanation:
sin(60) can be simplified into sqrt(3)/2.