Answer:
i got 195 because i rounded the numbers, but i believe the answer is D
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
The distance between the two cars is now 320 yards.
<h3 /><h3><u>
Distances</u></h3>
To determine what is the distance between the two cars now if they did not collide the following calculation must be performed:
- 500 - (500 - 405) - (500 - 415) = X
- 500 - 95 - 85 = X
- 500 - 180 = X
- 320 = X
Therefore, the distance between the two cars is now 320 yards.
Learn more about distances in brainly.com/question/989117
Answer:
73.12 cm
Step-by-step explanation:
The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)
P square = 3 s
=3 (16)
=48 cm
The perimeter of the semicircle is 1/2 of the circumference of a circle
P semicircle = 1/2 (pi *d)
=1/2 (pi* 16)
= 8 pi
= 8 (3.14)
=25.12 cm
The total perimeter is the sum of the square and the circle
P total = P square + P semicircle
=48+25.12
=73.12 cm
1/10 of all take 2/5 time
10/10=10 times 1/10
so 10 times 2/5 time=20/5=4 days to finish 1 order
4 days
