Answer:
$12,088.55
Step-by-step explanation:
The formula for compounded interest is A = P(1+r/n)^n(t)
A= final amount
P = initial amount
r = rate of interest
n = amount of times it is compounded
t = time or amount of years
In this case n=4 because you are compounding quarterly which is 4 times a year and t will be 3 because you are looking for the amount after 3 years. r is .14 because 14% is .14 in decimal form.
-750 because a loss which is negative and if you do -750-(9000) you will get a total of 9750.
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5
This is a system of equations. We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out. We can do this by multiplying the bottom equation by 3. This will make our system of equations equal:
3a + b + 225
-3a + 3b = 75
Now we add these two equations together, because the a terms will cancel out.
4b = 300.
We can find what b is by dividing both sides by 4.
b = 75
Next, we plug in b in one of the equations and solve for a. You can use either equation, but I will use the second.
75 - a = 25
Subtract 25 from both sides and add a to both sides:
a = 50
So, the first option is correct. A = 50 and b = 75.