Answer: f(7) = f(4) + 3(3) = 15 + 9 = 24
Step by Step Explanation:
f(1) = 6
f(n) = f(n-1) + 3
f(2) = f(1) + 3 = 6+3 = 9
f(3) = f(2) + 3 = 12
f(4) = f(3) + 3 = 15
Each term is 3 more than the previous one
Therefore to get from the 4th term to the 7th term you will add 3
For a total of 3 more times.
f(7) = f(4) + 3(3) = 15 + 9 = 24
Hope this helps
Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
- is the sample proportion.
The margin of error is given by:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 1.96.
The estimate is of , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.
Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
C & D
Step-by-step explanation:
You can do these two ways. You can multiply the cost of the the shirt by 15% (.15 as a decimal.) and then subtract that answer from the original price of the shirt to get the sales price of the shirt.
You can also multiply the price of the shirt by 85% (.85 as a decimal) and that will give you the sales price without having to subtract. 15% + 85% = 100%, so 85% represents the sales price of the shirt.
Anyway, since you multiply, you can eliminate choice A & B.
Since the direction in the question says to select all that apply, I would check both C & D.
C is the equation of the first way I talked about- Price - 15% * price
C p - 0.15p
D is the equation of the second way I talked about. Price times 85%
D 0.85p
The y intercept of this function is always (0, a).
This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.
F(x) = a*b^x
F(0) = a*b^0
F(0) = a*1
F(0) = a
And for an example with a random number, we'll use a = 5 and b = 3
F(x) = 5*3^x
F(0) = 5*3^0
F(0) = 5*1
F(0) = 5
No matter what a and b equal, the intercept will be the a value.
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above