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Yuri [45]
3 years ago
9

For her parents' anniversary party, Sharon is considering using one of two venues. A hotel in Westford will cost $562 for a rese

rvation, plus $30 per person. A restaurant in the same city will cost $29 per person, in addition to $563 for the reservation. In order to make the best decision, Sharon figures out how many attendees it would take to have the venues cost the same amount. How many attendees would that be? What would the total cost be?
Mathematics
1 answer:
zheka24 [161]3 years ago
5 0
It will take one person for the venues to equal the same amount. This is simply done by multiplying 1 x the per person amount then adding it to the reservation cost.
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The sum of two numbers is 4. One number is five less than twice the other. Find the two numbers.
xxMikexx [17]

Answer:

Number 1 = 3, Number 2 = 1

Step-by-step explanation:

Create an each for the two number and make the sum of those two numbers equal to 4.

Number 1 we will make x

Number 2 will then be   2x - 5    (five less than two times the first number)

Equation is the sum of the two number and equal to 4

x     +   2x - 5  = 4

3x - 5 = 4

Add 5 to both sides

3x = 9

Divide both sides by 3

x = 3

Test your answer.

Number 1 would be equal to 3

Number 2 would be 2(3) - 5 which is 1

Sum of the two numbers   3 + 1  = 4

3 0
3 years ago
Can you solve for r? and show your work? 3(2x-2)-r+3x=2(7x+1)-5x-9
V125BC [204]

Answer:

r=1

Step-by-step explanation:

3(2x-2)-r+3x=2(7x+1)-5x-9

6x-6-r+3x=14x+2-5x-9

9x-6-r=19x-7

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-r/-1=9/-1

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5 0
3 years ago
The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W
mario62 [17]

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

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r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

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25.21 this is corect :D

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