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3 years ago

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To start, you have $63.75. You earn additional money babysitting. Then you purchase a new pair of shoes for $109.99. You now hav

e $83.76. left. How much money do you earn babysitting? Write and solve an equation to represent this situation.

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

Step-by-step explanation:

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A town has a population of 13000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop

ELEN [110]

Answer:

Correct answer: n = 5.96 ≈ 6 years

Step-by-step explanation:

Given:

Currently population P = 13,000

The percentage annual population growth is 4.5 % or in decimal notation

p = 1.045

Population after n years Pₙ = 16,900

Work:

After first year it will be P₁ = P · p

After second year it will be P₂ = P₁ · p = P · p²

After third year it will be P₃ = P₂ · p² = P · p³

.....................................................................................

After n-th year it will be Pₙ = P · pⁿ

pⁿ = Pₙ / P

n = log p (Pₙ / P) = ln (Pₙ / P) / ln p

n = ln (16,900/ 13,000) / ln 1.045 = ln 1.3 / ln 1.045 = 5.96 ≈ 6

If we accept n = 5.9 we will get:

Pₙ = P · pⁿ = 13.000 · 1.045⁵°⁹ = 16,855

If we accept n = 5.96 we will get:

Pₙ = P · pⁿ = 13.000 · 1.045⁵°⁹⁶ = 16,899.6

If we accept n = 6 we will get:

Pₙ = P · pⁿ = P₆ = P · p⁶ = 13.000 · 1.045⁶ = 16,929.38

What you will accept is yours choice.

God is with you!!!

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The figure in the picture is made up of 5 congruent squares. If the perimeter of the entire figure is 21.6 cm, find its area.

vovikov84 [41]

Perimeter is length plus width so use that to help you

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The difference between the price per pound for the three pound bag of oranges and the price per pound for the 5 lb bag of oranges is $0.15

Given

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Price of one pound in 3lb bag-

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Price of one pound in 5lb bag-

$\frac{5.25}{5} = 1.05$

Difference between the prices-

$1.20-1.05= 0.15$

The difference between the price per pound for the three pound bag of oranges and the price per pound for the 5 lb bag of oranges is $0.15

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the have the same scale factor

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