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enyata [817]
3 years ago
7

4. A bike rental company rented out 8 bikes in its first month. The company increased the number of bikes it rented each month b

y 2%. What was the approximate total number of bikes the company will rent out for the first 9 months?
50

59

68

78
Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0
This is a geometric sequence:

First month: 8
Second month: 8 * 1.02
Third month: 8*1.02^2
Fourth month 8* 1.02^3
...
nth month: 8 * 1.02 ^(n-1)

Sum of the first 9 terms (months) = a[1 -r^n] / (1 - r) = 8* [1 - 1.02^9] / (1 - 1.02) = 78.04

Answer: approximately 78 bikes.
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1. A college newspaper, The College Spy, has a fixed production cost of $70 per edition and it costs 40¢ per copy to print and d
Mars2501 [29]

a. What is the cost expression for the newspaper? 


The cost would be the sum of fixed cost and the variable cost. The fixed cost is 70 while the variable cost is 0.40 x, where x stands for the number of copies made. That is:

Cost = 70 + 0.40 x            

where x = number of copies made


b. What is the revenue expression for the newspaper? 

The revenue would simply be the product of selling price and number of copies sold or made, that is:

Revenue = 0.50 x


c. Put the cost and revenue expressions into an inequality that would represent a successful newspaper. 


To have a successful newspaper, the difference of revenue and cost must be greater than 0, that is:

Revenue – Cost > 0

0.50 x – (70 + 0.40 x) > 0


d. How many copies should be sold to make a profit? Show all work! An answer with no work will receive 0 points. 

From the above equation, we solve for x.

0.50 x – (70 + 0.40 x) > 0

0.50 x – 70 – 0.40 x > 0

0.10 x > 70

x > 700

Number of copies made should be more than 700 copies


e. Now go back to your answer for d. On every line of your solution write what property of math you would use to justify the transformation that occurred. 

 

0.50 x – (70 + 0.40 x) > 0                Distribution property

0.50 x – 70 – 0.40 x > 0                    Addition property

0.10 x > 70                                           Addition property

x > 700                                                  Division property

4 0
3 years ago
James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collecti
Stolb23 [73]

Answer:

D

Step-by-step explanation:

Using process of elimination we know that it cannot be a,b or c because after you add the 2 new stamps james collected the ratio is 8:12 which cannot be 1:2 because 8 is not half, can't be B because 8 is less than 12, Also cannot be C because 8 is less than 12


8 0
3 years ago
If 24, x, and 6 form the first three terms of an arithmetic sequence
AveGali [126]
<h3>Answer:  15</h3>

===============================================

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

Second term = 24-9 = 15

Third term = 15-9 = 6

We get the sequence 24, 15, 6

7 0
2 years ago
a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year
kaheart [24]

Answer:

  6745.09

Step-by-step explanation:

If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...

  FV = P(1 +r/12)^(12·t)

for P = 5000, r = .05, t = 6.

Doing the arithmetic, we get ...

  FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09

After 6 years, the bank account will be worth 6745.09.

_____

We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)

Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.

7 0
3 years ago
The total cost to rent a row boat is $16 times the number of hours the boat is used. Write an equation to model this situation i
uysha [10]
C=16h
C, the total cost is equal to 16 dollars per hour, h
7 0
3 years ago
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