X - Jack's age
y - Susan's age
Jack is 27 years older than Susan.

In 5 years he will be 4 times as old as she is.

The system of equations:

Jack is 31 years old and Susan is 4 years old.
<span>There are two possible ways where you can express this. First, is by presenting the equation net of 5 percent which is "x=1.0355n+2.6505m". The other way to express such is by presenting it with gross amount which is "x= (1-0.05)(1.09n+2.79m)"
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Answer: 0.7619
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
We assume that the variable is normally distributed.
The value of z-score is given by :-

a) For x= 46.9 years

The p-value : 
Hence, the probability that the average age of those doctors is less than 46.9 years =0.7619
Answer:
Men can be concluded to enjoy shopping electronic activity more than women, but in weekend days. The case might not hold true for week working days also.
Step-by-step explanation:
To study : whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy that.
- Out of 67 men, 24 said they enjoyed the activity
So, % of men enjoying the activity = (24 / 67) x 100
= 35.82%
Out of 24 women, 8 said that they enjoyed the activity
So, % of women enjoying the activity = (8 / 24) x 100
= 33.33%
Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest