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fomenos
3 years ago
15

Alice collected 57 skipping stones. She skipped 3 stones a minute on her pond until she was out of stones. Create a slope interc

ept equation that represents this relationship
Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Answer:

y = 57 - 3x

Step-by-step explanation:

Alice collected 57 skipping stones. And she skipped 3 stones a minute on her pond.

So. if y represents the number of stones left to her and x represents the number of minutes, then by the condition given we can write  

y = 57 - 3x ..... (1)

So, this is equation of a straight line in the slope-intercept form. (Answer)

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3 years ago
16. How much money will I need to have at retirement so I can withdraw $60,000 a year for 20 years from an account earning 8% co
Lady_Fox [76]

Answer:

  • starting balance: $636,215.95
  • total withdrawals: $1,200,000
  • interest withdrawn: $563,784.05

Step-by-step explanation:

a) If we assume the annual withdrawals are at the beginning of the year, we can use the formula for an annuity due to compute the necessary savings.

The principal P that must be invested at rate r for n annual withdrawals of amount A is ...

  P = A(1+r)(1 -(1 +r)^-n)/r

  P = $60,000(1.08)(1 -1.08^-20)/0.08 = $636,215.95

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b) 20 withdrawals of $60,000 each total ...

  20×$60,000 = $1,200,000

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c) The excess over the amount deposited is interest:

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4 0
3 years ago
Factorise 45p² -125q²​
SashulF [63]

Answer:

5(3p + 5q)(3p - 5q)

Step-by-step explanation:

45 {p}^{2}  - 125 {q}^{2}  \\  \\  = 5(9 {p}^{2}  - 25 {q}^{2} ) \\  \\  = 5 \{ {(3p)}^{2}  -  {(5q)}^{2}  \} \\  \\  = 5(3p + 5q)(3p - 5q)

8 0
3 years ago
Read 2 more answers
Describe a real-life multiplication situation for which an estimate makes sense . Explain why it makes sense
monitta

Answer: Here we have a real life multiplication situation for which an estimate make sense:-


Miley has 212 fiction books. Sharon has 3 times fiction books has many as Miley has, how many fiction books Sharon has

Solution :- Number of fiction books Miley has = 212

Number of fiction books Sharon has= 3 times 212

We know that 212 is near to 200 , so round off 212 to 200 (to the nearest hundred)

Thus the product becomes 3\times200=600

Therefore, the estimated number of fiction books Sharon has=600





7 0
3 years ago
Please help, I need to determine the slope and y-intercept for each group. I need to write an equation for the graph in slope-in
Readme [11.4K]

Answer:

Step-by-step explanation:

Slope: -3

Y intercept: 0

Equation: y=-3x+0

4 0
3 years ago
Read 2 more answers
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