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

Which range contains the value of sqrt(25-4+16)?
A. Between 6.0and 6.2
B. Between 6.9 and 7.1
C. Between 2.1 and 2.3
D. Between 18.4 and 18.6

Answers

Answer:

I wanna say C. But I'm not exactly sure.

Step-by-step explanation:

I hope it's right :(

The quotient of a number increased by 9and 4 is -2 TRANSLATE DO NOT SOLVE please answer I really need this

Answers

Answer: From your questions it's stand like factors of that Number so it is one

3=1

5/9=1

4=1,2

Addition point

Quotient is the number remained after divident is divided by divisor

Step-by-step explanation:

please help. problem involving magic squares

Answers

Step-by-step explanation:

First, let us find the magic sum in each row/column/diagonal.

Sum of numbers from 1 to 9 = 45.

45 divide by 3 rows = 15 each row.

The magic sum is 15.

For the diagonals, we have:

8 + 5 + x = Magic sum = 15,

6 + 5 + y = Magic sum = 15.

Therefore x = 2 and y = 4.

How do you do an area model of 15 times 11

Answers

Make a rectangle, one set of parallel sides should be longer than the other, then, make the length (long side) 15, and the width (short side) 11. label them, and in order to find the area, multiply the length, by the width (15 x 11)

Create an expression that would represent the area of the triangle

Answers

Answer:

96cm

Step-by-step explanation:

A=1/2bxh (Area=BasexHeight) is the formula to find it.

A=1/2x192

A=96

Solve for s.

72=27+9s

How do you solve for s?

Answers

Answer:

s=5

Step-by-step explanation:

Answer:

S = 5

Step-by-step explanation:

Subtract 27 from both sides

45 = 9s

divide by 9

s = 5

What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22

Answers

Answer:

B. 2

Step-by-step explanation:

Step 1:

2x + 2          Equation

Step 2:

2 ( 0 ) + 2        Input x value

Step 3:

0 + 2        Multiply

Answer:

B. 2

Hope This Helps :)

Answer:

B

Step-by-step explanation:

i need to find the points for a graph asap by finding the asymptote!!!

Answers

Answer:

y=0

Step-by-step explanation:

Exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (b^x) + c always has a horizontal asymptote at y = c. In this case the function is

[tex]y=3^{x+2} \\\\We\ can\ rewrite\ it\ like\\\\\y=3^x.3^2\\y=9(3^x)[/tex]

so it doesn't have a +c which means the horizontal asymptote is y = c = 0

y = 0 is the horizontal asymptote

e - i = 5
e + 3i = 9
e value =
i value =
What is the answer

Answers

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

The average person laughs 15 times per day.

Answers

really? i didn’t know.
Gosh I need to start laughing more then

what is the awnser pls help

Answers

Answer:

I think its B 216

Step-by-step explanation:

Because you multiply 12×9×2 and get 216 (I dont know if im right)

Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?

Answers

Answer:

1) The system of inequalities are;

x × 1.25 + y × 1.5 ≥ 24

x + y ≤ 10

Please find attached the required graph of the two inequalities ,created with Microsoft Excel

2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread

Step-by-step explanation:

1) The maximum number of loaves Larissa plans to make = 10

The price at which she sells each of x loaves of banana bread = $1.25

The price at which she sells each of y loaves of nut bread = $1.50

The total amount she hopes to make = $24

The system of inequalities are;

x × 1.25 + y × 1.5 ≥ 24

x + y ≤ 10

Making y the subject of both inequalities gives;

For the first inequality, we have,

y ≥ 24/1.5 - 1.25/1.5·x which gives;

y ≥ 16 - 5/6·x

For the second inequality, we have,

y ≤ 10 - x

Please find attached the required graph of the two inequalities

2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.


[tex]( \sin^{2} ( \frac{\pi}{ 4 } - \alpha ) ) = \frac{1}{2} (1 - \sin(2 \alpha ) )[/tex]
Prove​

Answers

Step-by-step explanation:

[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Use the identity

[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]

on the left side.

[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Now use the identity

[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]

on the left side.

[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Find the value of 16 2/3% of Rs.4500​

Answers

Answer:

Rs 750 .

Step-by-step explanation:

We need to find 16 ⅔ % of Rs 45,00 .

So , we can write 16 ⅔ % as 50/3 %.

= [tex]\dfrac{50}{\cancel3}\times Rs ,\cancel{ 4500 }^{1500}\times\dfrac{1}{100}[/tex]

=[tex]\red{ Rs 750 }[/tex]

Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;

Answers

Answer: kg

Step-by-step explanation:

John bought a play station game for $54.50. The tax on the game is 5%. What
is the total cost of the play station game, including the tax?

Answers

Answer:

1089/20 (Decimal: 54.45)

Answer:

$57.22

Step-by-step explanation:

$2.72 would be 5% of 54.50

The total cost would be

54.50 + 2.72

that would equal

57.22

Complete the inequality with >, <, or =.

72 _____ 34

Answers

Answer:

>

Step-by-step explanation:

which ever the arrow is opening up to, is the greater number bro

Find the x and y intercept of
-x-4y=16.

Answers

The answer is going too be -4 or you can write it as (0,-4) I think
It is -4 I think lol

Can a negative number have a positive factor?

Answers

Answer:

The laws of multiplication state that when a negative number is multiplied by a positive number, the product will be negative. So, if considering a factor pair of a negative product, one of these factors must be negative and the other factor must be positive.

one has to be positive one has to be negative

What makes the equation true?

5x(8+3) = 5x8 + __ x 3

Answers

Answer:

5×8 + 5×3 =5×8 + 5×3

x => 5

BRANLIEST AND 50 POINTS



What is the prime factorization of 135?

3 × 5 × 9
3 × 5 3
3 2 × 5 2
3 3 × 5

Answers

The prime factorization for 135 is 3,3,3, and 5.

Answer:

3×5×9

Step-by-step explanation:

It's the only answer that can be applied

But you have to expand it farther

2×5×9

2×3×3×5

Note:if you want the answer from your options the answer is 2×5×9

Otherwise 2×3×3×5

Nadine and her sister received the
same amount of money to go out to
eat. Each girl spent $12. After
lunch, the girls had a total of $16.
Write and solve an equation to find
the amount of money each girl
received.

Answers

Answer:

2(x - 12) = 16

Step-by-step explanation:

They each had $20 to spend.

Lei’s favorite cereal comes in two box sizes. A 16-ounce box costs $3.20. The 32-ounce box costs $6.24. Which box is better to buy?

Answers

Answer:

The 32-ounce box

Step-by-step explanation:

The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.

Answer:

the big box is a better buy

Step-by-step explanation:

we have

$3.20 for 16ounce

and notice 32 is duble of 16 so to be equal price will be

$6.40 for 32ounce

yet is not is

$6.24 for 32ounce so the big box is less expensive

Mark buys a wooden board that is feet long. The cost of the board is $1.50 per 5 1/4 foot, including tax. What is the total cost, in dollars, of Mark’s board

Answers

it would just be the tot foot time the cost

7.5 X 0.50 = $3.75

please help thanks in advance

Answers

Answer:

43.25

Step-by-step explanation:

Since sides DF and FE are congruent, their opposite angles D and E are also congruent.

m<D + m<E + m<F = 180

x + x + 93.5 = 180

2x = 86.5

x = 43.25

Answer: 43.25

Tanisha has 16 books she wants to read. She reads One Fourth of them. How many books has Tanisha read?

Answers

Answer:

Im guessing she reads 64 of the book

16 divided by 1/4 = 64

plz help me asap i need help plz i will mark you as brainlist

Answers

Answer:

the third one

NEED HELP ASAP! GIVING BRAINLEST TO THE CORRECT ANSWER! MY BRAINLEST IS GIVING 100 POINTS TO THE PPL WHO ANSWER CORRECTLY
Select the real-world problem that could be solved using a proportion.

A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?

B Sheila must pay $180 for a phone and then $60 each month for service. How much will she have paid after 7 months?

C Sheila has 3 pens and 7 pencils. How many more pens does she need to make the number of pens and pencils she has equivalent?

D Sheila has 3 dogs and adopts 1 more. How many dogs does she have in total?

Answers

Answer:

A Sheila travels 180 miles in 3 hours. At this rate, how far will she travel in 7 hours?

Step-by-step explanation:

[tex]\frac{180 miles}{3 hours} = \frac{x miles}{7 hours}[/tex]

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

snisisbshdgsbsjsiejbebdbxhhxdyud

Step-by-step explanation:

sorryrydhehsindebbdhddhdb

for the equation 2x² -11x+9=0 solve for x using AC method , completing the square, and the quadratic formula
help please

Answers

Answer:

x=1, 4.5

Step-by-step explanation:

-(-11)plus/minus square root of (-11)^2-4(2)(9) divided by 2 times 2

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