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Fynjy0 [20]
3 years ago
7

In a right triangle the side opposite the right angle is called

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0
Hope this image helps!!!!!

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A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

Answer:

  • <em><u>The reduction is 8.6%</u></em>

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

  • Pension=F(1+r/12)^{12t}

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

  • t = 65.5 - 62 = 3.5

  • Pension=F(1+0.06/12)^{12\times 3.5}=1.233F

<u>For retirement at 67</u>:

  • t = 67 - 62 = 5

  • Pension=F(1+0.06/12)^{12\times 5}=1.349F

<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
3 years ago
How is 23 written as a fraction
Ierofanga [76]
It would be 23/100. 
C. Is the answer

3 0
3 years ago
Read 2 more answers
I would like to know the answer of the one under e
Ann [662]

Answer:

3ac + bc

Step-by-step explanation:

c(3a + b)

Distribute (multiply) the c to the numbers in the parentheses.

c * 3a = 3ac    c * b = bc

3ac + bc

4 0
3 years ago
3x-15+10m-2x ; x=5 and m=7 <br> evaluate the expression for the given value of the variable.
lianna [129]
3(5)-15+10(7)-2(5)
15-15+70-10
=60
The answer is 60
3 0
3 years ago
6. The revenue function for a production by a theatre group is
Sidana [21]

Answer:

When the ticket price is $3 or $4 the production will be in break even

Step-by-step explanation:

<u><em>The correct question is</em></u>

The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cost function for the production is C(t) = 600-50t. Determine the ticket price that will allow the production to break even

we know that

Break even is when the profit is equal to zero

That means

The cost is equal to the revenue

we have

R(t)=-50t^2+300t

C(x)=600-50t

Equate the cost and the revenue

-50t^2+300t=600-50t

solve for t

-50t^2+300t+50t-600=0

-50t^2+350t-600=0

Solve the quadratic equation by graphing

using a graphing tool

the solution is t=3 and t=4

see the attached figure

therefore

When the ticket price is $3 or $4 the production will be in break even

5 0
3 years ago
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