Name a segment whose both end points are on the circle.

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

EleoNora [17]

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. $\bar3$ .

5 0

2 years ago

A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each

liubo4ka [24]

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = $\frac{40}{100} (50)$

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = $\frac{60}{100} (50)$

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

5 0

3 years ago

Sandy wants to make a punch recipe with 2 parts pineapple juice to 6 parts ginger ale if you wants to increase the recipe using

Blizzard [7]

Answer:

24

Step-by-step explanation:

If you go from 2 parts pineapple to 8, thats a 4x increase. Therefore 6x4=24 (6 from the Ginger)

4 0

3 years ago

How do you solve ?? 5x^4( 6x^4-3x^2 +7)

melamori03 [73]

Multiply the exponent of x by 4giving The answer is x^4 evaluates to Multiply and 5 Multiply and 1 The just gets copied along. The answer is 5*x^4 evaluates to Multiply the exponent of x by 4giving The answer is x^4 evaluates to Multiply and 6 Multiply and 1 The just gets copied along. The answer is 6*x^4 evaluates to Multiply the exponent of x by 2giving The answer is x^2 evaluates to Multiply and 3 Multiply and 1 The just gets copied along. The answer is 3*x^2 evaluates to 6*x^4-3*x^2 evaluates to The answer is 6*x^4-3*x^2+7 evaluates to Multiply by we multiply by each term in term by term. This is the distributive property of multiplication. Multiply and Multiply the and Multiply and Combine the and by adding the exponents, and keeping the x, to get The answer is × = Multiply and Multiply the and Multiply and Combine the and by adding the exponents, and keeping the x, to get The answer is × = Multiply and 7 Multiply and 1 The just gets copied along. The answer is × 7 = 5*x^4*(6*x^4-3*x^2+7) evaluates to The final answer is

3 0

3 years ago

HELP Find the value of two numbers if their sum is 5 and their difference is 30

vodomira [7]

Answer:

The 2 numbers are -12.5 and 17.5.

Step-by-step explanation:

Let 1 number be x then x - y = 30 where the other number is y.

y = x - 30 so the sum is:

x - 30 + x = 5

2x = 35

x = 17.5

and y = 17.5 - 30 = -12.5.

8 0

3 years ago

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