Answer:
You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.
Step-by-step explanation:
In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:
f(x) = 3.35x
And the second equation as:
f(x) = 3.05x + 4.05
Then to find when they equal each other, we can set the two equations equal to each other and solve for x.
3.35x = 3.05x + 4.05
0.30x = 4.05
x = 13.5
This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper
Answer:
in 10 weeks because if you multiply 62.50 10 times you get 625
Answer:
Step-by-step explanation:
<u>Compound Interest</u>
This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.
The present value PV or the principal can be calculated with
Solving for R
Where Fa is computed by
We'll use the provided values but we need to convert them first to monthly payments
Thus, each payment is
Answer:
23.20°
Step-by-step explanation:
All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.
<h3>Trig relation</h3>
The tangent of the angle is the ratio of opposite and adjacent sides:
Tan = Opposite/Adjacent
Here, that means ...
tan(α) = 3/7
To find the value of α, we need to use the inverse tangent function, also called the arctangent function.
α = arctan(3/7) ≈ 23.19859°
α≈ 23.20°
