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finlep [7]
3 years ago
12

Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with

his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700 - ( 5000 + 500m )to represent the size of his debt after m months. Which number describes the value of his signing bonus?
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer:

5000

Step-by-step explanation:

Given the question :

The size of debt after m months is respresented by the expression :

36,700 - (5000 + 500m)

Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.

Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,

Then the amount paid from his salary after a certain number of months will be:

Fixed amount × number of months = 500 × m

Amount paid using signing bonus will be a constant = 5000

Total debt amount = 36,700

Size of debt left after m months :

Total debt - ( signing bonus - fixed amount × m)

Hence signing bonus = 5000

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The sum of two numbers is 52 . The larger number is 2 less than twice the smaller number .What are the numbers
Nata [24]

Answer:

35.34 and 16.66

Step-by-step explanation:

Given data

let the numbers be x and y

the smaller number = x

the larger number = y

x+y=52--------1

<em>The larger number is 2 less than twice the smaller number</em>

y=2x-2-------2

put y= 2x-2 in eqn 1

x+2x-2=52

3x-2=52

3x=52-2

3x=50

x= 50/3

x= 16.66

put x=16.66 in eqn 1 to find y

x+y=52

16.66+y= 52

y=52-16.66

y= 35.34

Hence the numbers are

35.34 and 16.66

Check

35.34+16.66= 52

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Answer:

None

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Dave's favorite baseball team has won 10 fewer games than Kimiko's favorite baseball team. Write an algebraic expression for the
kotykmax [81]

Let x be the variable, and the unknown that gives the number of games Dave's favorite team has won.

Let y be the variable that express the number of games Kimiko's favorite baseball team has won.

Since Dave's favorite baseball team has won 10 games less than Kimiko's favorite baseball team, we can express this situation this way :

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