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?

Answers

Answer 1

Answer:

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

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;

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

Substituting the known values gives;

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

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

Answer 2

Answer:

it A

Step-by-step explanation:


Related Questions

please solve asap :) thank youuu

Answers

Step-by-step explanation:

I'm pretty sure it would be 67

At an ice cream shop, the ratio of sugar cones sold to waffle cones sold is 5:4. If there are 45 sugar cones sold, how many waffles cones would be sold?

Answers

Answer:

you would have to find the other value of the ratio.

If you look at the original ratio of 5:4, you can tell that 45 is just 8×5 and therefore you can also multiply 4×8 which would 32.

Step-by-step explanation:

I hope this helps :)

Also like your picture <3

Osvaldo wants to go to school to be a reporter. He takes out a loan for $140,000. The interest rate on this will be 3% for 4 years. What would the interest be that Osvaldo would have to pay?

Answers

9514 1404 393

Answer:

  $16,800

Step-by-step explanation:

The interest is computed using the formula ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years.

Filling in your given information, you have ...

  I = $140,000 × 0.03 × 4 = $16,800

Osvaldo would have to pay $16,800 in interest.

PLEASE ANSWER FAST
Answer like
number 1. answer is _________________
number 2. answer is _________________
number 3. answer is _________________
number 4. answer is _________________
number 5. answer is _________________

Answers

Answer:

number 1. answer is 561%

number 2. answer is 1

number 3. answer is 7/80

number 4. answer is 31.25%

number 5. answer is 60%

Step-by-step explanation:

hope this helps!

Answer:

1. 561%

2. 1

3. 7/80

4. 31.25%

5. 6%

Step-by-step explanation:

To start off, lets learn how to convert decimals to percent's.

Converting is actually not too hard. All you need to do is multiply the decimal by 100.

So 5.61 * 100

That would be 561 and then you add a percent sign to the end.

To convert a percent to a decimal is just the opposite of what we just did. Simply divide the percent by 100.

So 100% /100

A number divided by itself is 1

So 100% = 1

To make this problem easier, you can convert the fraction to a decimal.

8 3/4 = 8.75%

Now divide it by 100

8.75/ 100

0.0875

Now just convert it back to a fraction.

0.0875 = 7/80

Convert to a decimal.

5/16 = 0.3125

Multiply by 100

31.25

add percent sign

31.25%

Last one.

Convert to decimal

3/5 = 0.6

Multiply by 100

6%

If you need help on conversions or anything else don't be afraid to reach out! I hope this helps!

which expression is equivalent to 15+3x?

Answers

Answer:

There are no pictures

Step-by-step explanation:

Show a picture and I will help you.

The Expression Equivalent to 15+ 3x is 3(5+x).

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

15 + 3x

1. 3(5+ x)

Using Distributive property

15 + 3x

2. 5(3 +x)

Using Distributive property

15 + 5x

3. 3(5+ 3x)

Using Distributive property

15 + 9x

4. 5(3 + 3x)

Using Distributive property

15 + 15x

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Omar's cats claws grow 1/8 in in 1/12 of a year which is the amount of cats claws will grow in one year​

Answers

So 1/8 per month
1/8 * 12 months = 3/2
Reduced is 1 1/2 inches per year

Omar's cat's claws will grow 3/2 inch (or 1.5 inches) in one year.

To find the amount by which Omar's cat's claws will grow in one year, we need to multiply the growth rate per 1/12 of a year by the number of 1/12-year intervals in one year.

Given that Omar's cat's claws grow 1/8 inch in 1/12 of a year, we can find the growth in one year as follows:

Growth in one year = (Growth rate per 1/12 of a year) * (Number of 1/12-year intervals in one year)

Growth in one year = (1/8 inch) * (12 intervals)

Growth in one year = 1/8 inch * 12

Growth in one year = 12/8 inch

Now, we can simplify the fraction:

Growth in one year = 3/2 inch

So, Omar's cat's claws will grow 3/2 inch (or 1.5 inches) in one year.

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triangle ABC has vertices, A(4,4), B(-1,4), and C(1,6). find the orthocenter

Answers

Answer:

(1,7)

Step-by-step explanation:

Because it is :)

Find the length of AB
AB=
ft (Round to two decimal places)
c
P
A
8 ft
45°
B

Answers

AB= 45 degrees central angle theorem

explain in your own words one way you could turn 9/25 into a decimal.




YOU HAAVE TO EXPLAIN

Answers

Answer

Step-by-step explanation:

If 25 goes into 100 four times, then multiple 9 x 4 and then make it into a precent. 9 x 4 = 36, would equal .36

Answer:

To turn 9/25 into a decimal, you could turn the denominator to 100. In order to do this, you can multiply both the numerator and denominator by 4. 9/25 x 4/4 = 36/100. 36/100 converted into a decimal is 0.36.

Step-by-step explanation:

I hope this helped! If it is correct, mark as brainliest :)

easy math if you can answer ill give brainlest

Answers

Answer:

16= 2 (3+b)

16 = 6+2b

10 = 2b

b = 5

Step-by-step explanation:

UB nu un MB a nshauIduxoa

What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively

Answers

Answer:

14

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

Answer:

14

Step-by-step explanation:

A grocery store sells 2 red peppers for $4.
How many red peppers for $24?

Answers

Answer:

12 red peppers

Step-by-step explanation:

2 peppers for 4 dollars means 1 pepper= 2$. 24/2=12

please help. i’ll give brainliest

Answers

Answer:

What amI looking for ?!?! I promise I will help you reply in the comments!!

Step-by-step explanation:

Answer: What is this question mabe I can help please write the question first.

Step-by-step explanation:

3)
AY
-2 -
1341
zero
O negative
O undefined
O positive

Answers

Answer:

the answer is zero

hope this helps:)

Answer:

jsjxjxjsjdk d djdjsjjffjKns

A gas can holds 101010 liters of gas. How many cans could we fill with 777 liters of gas?

Answers

Answer:

Step-by-step explanation:

the numbers might be wrong

if one can holds 101,010 liters

just 777 liters will fill easily in one can

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

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Find the slope of the line that passes through the points (2,-4) and (6,12)

Answers

Answer:

m=4

Step-by-step explanation:

In 2018, researchers examined a random sample of 1455 "disadvantaged" Australian school children (children aged 6 – 15 from rural and outer suburban areas) and found that 4.3% of them were nearsighted. In 2014, the rate of nearsightedness among such children was 3.5%. Is this strong evidence that the parameter has changed since 2018?

Answers

Answer:

No, this is not a strong evidence that the parameter has changed since 2018. This is because, there are so many factors that could have led to the fall in percentage of "disadvantaged school students" from the initial 3.5% to 4.3%.

Some of the factors could be reduction in the number of disadvantaged students, sample size considered being considered as well as the geographic location upon which the random sampling was made.

Step-by-step explanation:



(m + n)3
for m = 1 and n = 1

Answers

Answer:

3+3 am I right... I think I am

Answer:

(m+n)3 for m =1 and n =1

Help again PLZZ and thank you

Answers

Answer:

B

Step-by-step explanation:

OK NOW IM SAD :(

Answer:

It is B the y-intercept of them both is 2 and because if you graph it, it will be the same

Step-by-step explanation:

lemme get some help plz

Answers

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it

Need help ASAP please

Answers

x equals 7.1 if you round to the nearest tenth

Answer:

=

Step-by-step explanation:

Round off 12 and get 10

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18

Step-by-step explanation:

If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished

Thomas will take a total time of 18 hours to complete the entire project.

What is Percentage?

Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.

Thomas has finished 50% of an art project that has taken him a total of 9 hours.

Let W be the work Thomas has to finish.

Quantity of work Thomas finished in 9 hours = 50% of W

                                                                           = (50/100) × W

                                                                           = 0.5W

Remaining work to complete = W - 0.5 W = 0.5W

Again he has to complete 0.5W of total work W which will take an additional 9 hours.

So the total time taken = 9 + 9 = 18 hours.

Hence the total time needed for Thomas to complete the work is 18 hours.

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How do I do this? Anyone help!

Answers

Given:

Number of sides = 7

Apothem = 8 meters

Side length = 7.7 meters

To find:

The area of the regular polygon.

Solution:

We know that,

Area of a regular polygon is

[tex]A=\dfrac{1}{2}pa[/tex]        ...(i)

where, p is perimeter and a is apothem.

Perimeter of a regular polygon is the product of number of sides and side length.

[tex]p=7\times 7.7[/tex]

[tex]p=53.9[/tex]

Substituting p=53.9 and a=8 in (i), we get

[tex]A=\dfrac{1}{2}(53.9)(8)[/tex]

[tex]A=(53.9)(4)[/tex]

[tex]A=215.6[/tex]

Therefore, the area of the regular polygon is 215.6 m².

simplify
3x+6y+5y-2y

please explain i need help :(

Answers

3x+6y+5y-2y

Combine like terms

3x+9y

Answer=3x+9y

The recommended dosage of some drug is 20 grams of the drug for every 100
kg a person weighs. How much of the drug should be administered to a 70 kg woman?

Answers

Answer:

14 grams

Step-by-step explanation:

20/100=x/70

70 * 20/100=x

14=x

Simplify this equation:
-4(c+2d)-2(3c-4d)

Answers

-10c
hope this helped !!!

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

How do i find the values of of both x and y in a quadrilateral?

Answers

Answer:

n stands for the number of sides, which is 4.

To find the sum of the angles, subtract 2 from the number of sides and multiply by 180.

Add all the angles together and set that equal to 360 to solve for x.

Plug 32 ° in for x to find the measures of the angles.

Solve the inequality −3(x−43)≤6

Answers

Answer:

x<41

Step-by-step explanation:

-3(x-43)<6

-3x+129<6

-3x<-123

x<41

Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.

Answers

Answer:

Six movie channels, because 5(6) + 50 = 6.5(6) + 41

Step-by-step explanation:

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