Hey there!
To start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15
Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100
Now, cross multiply and solve for x:
1500=60x
x=25
Therefore, your discount would be 25%.
Hope this helps and have a marvelous day! :)
Answer:
D
Step-by-step explanation:
Answer:
Exponential
Step-by-step explanation:
<em>Starter:</em>
According to the title:
"Every day, half a bacteria population dies."
Exponential: y = ab^x ( b > 0 , b ≠ 1)
So the answer is C.
<em>Calculations:</em>
An exponential model is of the form y = a • b^t.
If you start with population of 500 million bacteria
t = 0
so 500 million = a • b^0 = a
Since every day half the population dies then in 1 day population will be 250 million
so a = 500 million, y = 250 million and t = 1
250 million = 500 million • b^1
b = 0.5
Therefore your equation would be
y = 500 million (or whatever the pop) • 0.5^t
Where t = number of days
This could also be written in exponential form ( e = 2.73)
<span>sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
</span><span>Hypotenuse = 30
</span><span>sin θ = 24/30
</span><span>sin θ = 4/5
</span>θ = sin^-1 (4/5)
<span>θ = 53.13 degrees</span>
So for this you just want to divide 4/5 by 9/10 because it is the opposite of the equation.
9/10 / 4/5
To divide fractions, you just multiply and reverse the second fraction.
For example:
9/10 * 5/4
Now you can just normally multiply.
45/40
Or, simplified,
9/8
(Or 1 1/8)
