Cosθ = adjacent / hypotenuse
I hope I helped you^_^
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
n=number of times interest is compounded per year (=1)
t=number of years
Plugging values,
200=100(1.09)^t
1.09^t = 2
take log
t(log(1.09))=log 2
t=log(2)/log(1.09)=0.6931/0.08618=8.04 years.
Answer: 10
Step-by-step explanation:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx=dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
Answer:
AB = 6.5
Step-by-step explanation:
C = 59°
AC = 7
CD = 6
AB = ?
Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)
AB² = 7² + 6² - 2(7)(6)*Cos(59)
AB² = 85 - 43.26
AB² = 41.74
AB = √41.74
AB = 6.5 (nearest tenth)
