The answer would be $22.68!
If Andy bought 3 paintbrushes for $1.75 each, then we just multiply how much they cost by the number that the bought.
1.75 x 3 = 5.25
If Andy bought 7 tubes of oil paint, we just do the same thing we did in the first step! Multiply how much they cost by the number that the bought.
2.49 x 7 = <span>17.43</span>
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Let's start with #12. The hypotenuse is 18. The side adjacent to ∠B is 6. Since we have the adjacent side and hypotenuse, we should use cosine.
cos B = 6/18
Solving for B:
B = cos⁻¹(6/18)
Using a calculator:
B ≈ 70.5°
Now let's do #14. The side adjacent to ∠B is 19, and the side opposite of ∠B is 22. Since we have the adjacent side and opposite side, we should use tangent.
tan B = 22/19
Solving for B:
B = tan⁻¹(22/19)
Using a calculator:
B ≈ 49.2°
Answer:
$594.03
Step-by-step explanation:
Using the exponential function;
A = Pe^-rt
Principal = $960
Rate r = 12% = 0.12
Time t = 4years
Substitute
A = 960e^-(0.12*)*4
A = 960e^-0.48
A = 960(0.61878)
A = 594.03
HEnce the worth after 4years will be $594.03
Answer:
Part 1) The exponential function is 
Part 2) 
Step-by-step explanation:
Part 1) Write an exponential function
we know that
The exponential growth function is given by the formula

where
y is the population
x is the number of years
a is the initial population
r is the rate of change
we have

substitute


Part 2) How much will the population be after 16 years?
For x=16 years
substitute the value of x in the exponential function

Melissa could clean one sixth of the area in half and hour because you divide by 2 since 60 divided by 2 is 30 and she has half as much time