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
vovikov84 [41]
2 years ago
11

The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that

the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Mathematics
1 answer:
EleoNora [17]2 years ago
5 0

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

You might be interested in
Elizabeth had 12 stamps. she decided to write letters to some of her relatives. after she sent her letters, she had 4 stamps lef
mr_godi [17]
She sent 8 letters 12-4=8
3 0
3 years ago
Read 2 more answers
1) Are the following lines parallel, perpendicular, or neither?
Maru [420]
In 1)

Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)

Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)

Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)

If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.

So,
Option D will be correct.

5 0
3 years ago
Need help again math 7th grade ​
Olenka [21]

Answer: 1/2 as a fraction

.5 as a decimal

Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5

4 0
2 years ago
Read 2 more answers
The length of a rectangle is 5 inches shorter than 3 times the width. Which expression represents the length of the rectangle in
Karo-lina-s [1.5K]

Answer:

The answer is 3w-5

Step-by-step explanation:

First you would have to figure out what 3 times the width is which would be the 3w part then to fine the length you would subtract 5 since it is 5 inches shorter

6 0
3 years ago
Read 2 more answers
-4c - 11 = 4c +21<br><br> Please help! I have literally no idea
MissTica
<span> -4c - 11 = 4c +21                                        add 4c to both sides
</span>
<span> -4c - 11 + 4c = 4c + 21 + 4c                        simplify

- 11 = 8c + 21</span>                                <span>               subtract 21 from both sides

- 11 - 21 = 8c + 21 - 21                                </span><span>simplify

- 32 = 8c                                                      divide both sides by 8

c = - 4


That's it






</span>

I hope you got the idea



3 0
3 years ago
Read 2 more answers
Other questions:
  • How many of the first 10,000 positive integers contain the digit pair “43” in that order?
    8·1 answer
  • Help me with this math
    5·1 answer
  • Some students want to know if residents of their town are in favor of building a new school. Kevin surveys all of the residents
    7·1 answer
  • Find the value of x. Will mark brainliest.
    12·1 answer
  • What is the product of 5/12 x 3
    10·1 answer
  • The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mix
    12·1 answer
  • Como se obtiene el area de un polígono regular?
    14·2 answers
  • for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?​
    8·1 answer
  • Tristan asked his coworkers about how much time they spent commuting each morning.
    12·1 answer
  • there are 20 colored markers in a package – 8 black, 4 blue, 4 red, 4 green. if two markers are selected at random, one after an
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!