Answer:
Connor would have $83.37 more than Henry.
Step-by-step explanation:
Connor:
Initial investment= $8,000
Interest rate= 8.2% = 0.082/12= 0.00683
Number of periods= 12*5= 60 months
Henry:
Initial investment= $8,000
Interest rate= 8% = 0.08/365= 0.00022
Number of periods= 365*5= 1,825 days
<u>To calculate the future value, we need to use the following formula on each investment:</u>
FV= PV*(1+i)^n
Connor:
FV= 8,000*(1.00683^60)
FV= $12,035.35
Henry:
FV= 8,000*(1.00022^1,825)
FV= $11,951.98
Difference= 12,035.35 - 11,951.98= $83.37
Connor would have $83.37 more than Henry.
Answer:
Option C
Step-by-step explanation:
Translation means moving the figure horizontally or vertically.
Reflection means flipping across a vertical or a horizontal line.
In the figure we see that we can vertically shift the point P to R down by some units.
Then we see that if we reflect that triangle NMP across the line which joins P & R we get the triangle STR.
So to have triangle MNP map onto to TSR we need to translate & then reflect.
Option C) is the right answer.
To solve this problem, we make use of the z statistic. The
formula for z score is:
z = (x – μ) / s
where,
x = is the sample score = 21 or higher
μ = the population mean = 20.8
s = the standard deviation = 4.8
Solving for the z score:
z = (21 – 20.8) / 4.8
z = 0.0417
Next step to do is to find for the p value using the
standard distribution tables at z = 0.04. Since we are looking for the
probability of getting 21 or higher, therefore this is a right tailed test,
hence
p = 0.516
<span>So there is about 51.6% that a student will get a score of
21 or greater.</span>
ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:
Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:
This simplifies to:
Therefore $1413.81 will be in the account after 10 years.
