1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
3 years ago
10

Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%

every year. Plan Z: Increase production by 300 vehicles every year. If the company produced 10,000 vehicles in the present year, which plan will make the company produce more vehicles after a period of four years?
Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

a = 10000

d = 300

Therefore, the sum of the first 4 terms, S4 would be

S4 = 4/2[10000 × 2 + (4 - 1)300]

S4 = 2[20000 + (3)300]

S4 = 2 × 20900

S4 = 41800 vehicles

You might be interested in
2 points
Stels [109]

Answer:

C

Step-by-step explanation:

You have to multiply

3 0
3 years ago
This my last question my bad guys and I appreciate everybody that’s been helping me out!!!❤️
Elenna [48]

Answer:

quadrant 3

Step-by-step explanation:

Cuz x and y are in the negative if they’re both less than 0

4 0
3 years ago
Read 2 more answers
Bye bye bye bye bye bye
Evgen [1.6K]

Answer:

Bye bye bye bye thank you

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What percent of 200 is 40?<br>a. 200%<br>b. 20%<br>c. 2%​
OleMash [197]

Answer:

20%

Step-by-step explanation:

if you take 40/ 200 = 20

7 0
3 years ago
Read 2 more answers
In the movie hidden figures what does the cop do to or For the three ladies
antoniya [11.8K]

Answer:

the cop offers them a police escort all the way to Langley

Step-by-step explanation:

having a car full of african americans in a car chase a police all the way too Langley.

3 0
3 years ago
Other questions:
  • Solve. –40 = 5x <br><br> please help asap thanks
    13·1 answer
  • How can you tell when a pattern shows counting on by tens?
    13·1 answer
  • SOMEONE HELP ME PLEASE!!!
    12·1 answer
  • Write the equation of a line in slope intercept form of a line that has a slope of 5 and a y
    8·1 answer
  • Suppose a triangle has sides 1,1,1 which of the following must be true
    10·1 answer
  • Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% dow
    12·2 answers
  • A building has a shadow that is 18 feet long. Will is 5 feet long, and he is standing next to the building. Will has a shadow th
    12·1 answer
  • In right triangle DEF, it is known that Cos D = (12/13) and Cos F = (5/13). If FD = 39, then DE = ? Hint, draw the right triangl
    10·1 answer
  • 17.Which of the following is the equation of a line parallel to y-axis?
    13·1 answer
  • Solve.<br> 13 - 2x1 = 9<br> A. X=-3<br> B. X=6<br> C. X=-3, x = 6<br> D. x = 3, x = 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!