Answer:
$9142.46
Step-by-step explanation:
Use the compounded interest formula:
Where
A is the accumulated amount after compounding (our unknown)
P is the principal ($7500 in our case)
r is the interest rate in decimal form (0.05 in our case)
m is the number of compositions per year (2 in our semi-annually case)
and t is the number of years (5 in our case)
We round the answer to $9142.46
Answer:
what do you mean it's not 7 it is 7
Step-by-step explanation:
The value of x is 7
The given parameters are:
\angle BAE = 9x + 2∠BAE=9x+2
\angle BAD = 130^o∠BAD=130
o
Line AE is the angle bisector of \angle BAD∠BAD
This means that:
\angle BAD = 2 \times \angle BAE∠BAD=2×∠BAE
So, we have:
130 = 2 \times (9x + 2)130=2×(9x+2)
Divide both sides by 2
65 = 9x + 265=9x+2
Subtract 2 from both sides
63 = 9x63=9x
Divide both sides by 9
7 = x7=x
Rewrite as:
x = 7x=7
Hence, the value of x is 7
Answer:
3π/2
Step-by-step explanation:
It may help you to realize that the (x, y) coordinates of the point on the unit circle are ...
(x, y) = (cos(θ), sin(θ))
Since you want sin(θ) = -1, look for the point on the unit circle that has a y-value of -1. It is the point (0, -1) at the bottom of the circle, where the angle is shown as ...
θ = 3π/2
The answer is A. because the first part shows the ratio 3:2 and the other 2 shows equivalent ratios.