Answer:
Option B is the correct answer
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). The director of the campus health center believes that the proportion of students with STDs is higher at their campus.
According to the American Heart Association guidelines, the daily maximum amount of sugar a teenager should have is 4 teaspoons. The parents of a local high school have expressed concerns that the average daily sugar intake of their students is higher than these guidelines and have been pressuring school officials to limit unhealthy snack and beverage choices offered in the cafeteria and student store.
Step-by-step explanation:
The first two researches involve the single sample compared to mean of population.
The 3rd and 4th research involves comparing samples of men and women that is two individual groups.
2) y= x times 5
The constant proportion is k=5
3) y=x times 4
The constant proportion is k=4
4)If total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
Answer:
C
Step-by-step explanation:
I think
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
![Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ]](https://tex.z-dn.net/?f=Compound%20%5C%20interest%20%3D%20P%20%5Ctimes%20%5Cleft%20%5B%20%5Cleft%281%20%2B%20%5Cdfrac%7Br%7D%7Bn%7D%20%5Cright%20%29%5E%7Bt%20%5Ctimes%20n%7D%20-%201%5Cright%20%5D)
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
![C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284](https://tex.z-dn.net/?f=C.I.%20%3D%20840%20%5Ctimes%20%5Cleft%20%5B%20%5Cleft%281%20%2B%20%5Cdfrac%7B0.04%7D%7B4%7D%20%5Cright%20%29%5E%7B%5Cdfrac%7B3%7D%7B4%7D%20%20%5Ctimes%203%7D%20-%201%5Cright%20%5D%20%3D%20840%20%5Ctimes%20%5Cleft%20%5B%20%5Cleft%281%20%2B%20%5Cdfrac%7B0.04%7D%7B4%7D%20%5Cright%20%29%5E%7B%203%7D%20-%201%5Cright%20%5D%20%3D%20%5C%24%2025.45284)
The interest earned in 9 months = $25.45284.
