<h3>Amount earned after 5 years is $ 9030.5561</h3>
<em><u>Solution:</u></em>
<em><u>The formula for compound interest, including principal sum, is:</u></em>
A = the future value of the investment including interest
P = the principal investment amount
r = the annual interest rate in decimal
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
p = 5000
t = 5 years
<em><u>n = 4 ( since interest is compounded quarterly )</u></em>
<em><u>Substituting the values we get,</u></em>
Thus amount earned after 5 years is $ 9030.5561
It takes 42 minutes for 6 people to paint 7 walls
<em><u>Solution:</u></em>
It takes 54 minutes for 4 people to paint 6 walls
To find: Minutes required for 6 people to paint 7 walls
If 
men can do 
work in 
days working 
hours per day and 
men can do 
work in 
days working 
hours per day, then
M = Number of men
D = Number of days
H = Number of hours per day
W = Amount of work
Here in this sum,
<em><u>54 minutes for 4 people to paint 6 walls</u></em>
<em><u>Minutes required for 6 people to paint 7 walls</u></em>
<em><u>Substituting the values in formula, we get</u></em>
Thus it takes 42 minutes for 6 people to paint 7 walls
We have been given that Nicolas has $6,500 to deposit into an account which earns 3.25% interest compounded annually. We are asked to find amount of interest earned at the end on 8 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Now we will subtract principal amount from final amount to find amount of interest as:
Therefore, Nicolas would have earned $1895.25 in interest at the end of 8 years.
The distance travelled by an object is 50 m.
<h3>What is Distance?</h3>
The distance between two points is the length of the path connecting them.
Here, given equation of distance
S = 1/2 (u + v)t
Where s is the distance traveled by an object (in meters)
initial velocity u (in m/s)
final velocity v (in m/s).
t in seconds.
Now, given values are;
u = 8 m/s ; v = 12 m/s ; t = 5 sec.
S = 1/2 (8 + 12)5
S = 1/2 (20)5
S = 100/2
S = 50 m.
Thus, the distance travelled by an object is 50 m.
Learn more about Distance from:
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