Answer: B) $4,000
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
Considering Cathy's loan,
P = $20,000
R = 5.2%
T = 10 years
I = (20000 × 5.2 × 10)/100
I = $10400
Considering Steven's loan,
P = $20,000
R = 4.8%
T = 15 years
I = (20000 × 4.8 × 15)/100
I = $14400
The difference between the amounts of interest Cathy and Steven paid for their loans is
14400 - 10400 = $4000
Answer:
a) 
b) 
c) Mary's score was 241.25.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

a) Find the z-score of John who scored 190



b) Find the z-score of Bill who scored 270



c) If Mary had a score of 1.25, what was Mary’s score?




Mary's score was 241.25.
Answer:
7.4 miles per hour
Step-by-step explanation:
To find her speed in miles per hour, divide the amount of miles she ran by the number of hours:
5.55/0.75
= 7.4
So, her speed is 7.4 miles per hour
Answer:
y = 6.5
Step-by-step explanation:
When triangles are similar, we can set up a proportion to compare the sides. I will have the "left" side on the bottom of the fractions, and the side I am solving for on the top.

[Cross multiply]
12y = 78
y = 6.5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather