Answer:
∠ B ≈ 62.73°
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinB =
=
=
, thus
∠ B =
(
) ≈ 62.73° ( to the nearest hundredth )
We need to find the interest rate in order to solve this problem:
.12/12 = (.01)
The number of years is unknown. T represents time in the following formula:
1000 (initial investment)
2000 (balance after t years from investment)
=$2000
In order to isolate the exponential term, both sides must be divided by 1000.
=2
By using natural logarithm:

By dividing both sides of the equation by 

Answer:
True
Step-by-step explanation:
C = -5/3 = -1 2/3
Write down the equation and solve for c
-3 - 3/4(c-4) = 5/4
Distribute the 3/4
-3 -(3/4)c + 3 = 5/4
Perform the addition of -3 and 3
-(3/4)c = 5/4
Divide both sides by -(3/4)
c = 5/4 / (-3/4) = 5/4 * (-4/3) = -20/12 = -5/3
So the value of c is -5/3. Let's verify it.
-3 - 3/4(-5/3 - 4) = x
Distribute the -3/4
-3 - (3/4)(-5/3) + (3/4)4 = x
-3 +15/12 + 3 = x
Combine terms
15/12 = x
Simplify
5/4 = x
Answer:
9/4
Step-by-step explanation:
a improper fraction is a fraction where the numerator is a larger number then the denominator
11/4 - 2/4 would be 9/4 because 11 -2 is 9 and you keep the denominator