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Step-by-step explanation:
50% interest annually.
that means he gets 50% interest of the invested capital every year.
and that means he gets 50% of $70 in one year.
70 = 100%
1% = 100%/100 = 70/100 = $0.70
50% = 1%×50 = 0.7 × 50 = $35
he will earn $35 interest in one year.
as you noticed: 50% simply means 1/2 (as 100% stands for the whole).
A y-intercept always has to have an x-value of 0 so the answer is D (the last option)
Answer:
4 people name chocolate
Step-by-step explanation:
Let's first understand the given information.
The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.
Dividing the total of people (100) by the ones who name chocolate (40) then we have:
100/40 = 2.5
Through the above equation we are actually expressing the following:
Total people = 2.5 * (people who name chocolate flavor)
Using this equation if we have now 12 people:
12 = 2.5 * (people who name chocolate flavor)
12/2.5 = (people who name chocolate flavor)
4.8 = people who chose chocolate flavor
Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.
It has a minimum value at x = 3 and f(x) = 4
Vertex form is
f(x) = a(x - 3)^2 + 4 where a is some constant to be found
From the graph when x = 5 f(x) = 15, so
15 = a * 2^2 + 4
a = 15-4/4 = 11/4
so our equation is f(x) = 11/4(x - 3)^2 + 4
