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2 years ago

13

Sammy starts with $50 in her saving account and adds $50 each week. Write an equation that Sammy can use to show how much money

she has after a certain number of weeks

1 answer:

victus00 [196]2 years ago

7 0

Known facts:

50 dollars is the initial amount in the saving account
50 dollars is added every week into the savings account.

Variables:

x: # of weeks
y: total amount of money in savings

Set equation based on known facts and variables:

y = 50x + 50, 50x is the rate at which it grows depending on

the week and 50 is the initial amount there

Hope that helps!

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2 years ago

Read 2 more answers

The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti

DiKsa [7]

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1) 20%

2) Choice a.

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$P(t)=10000(0.2)^t$

1) $P(0)$ is the population initially.

$P(1)$ is the population after a year.

$\frac{P(1)}{P(0)}$ represents the population increase factor.

So let's evaluate that fraction:

$\frac{P(1)}{P(0)}$

$\frac{10000(0.2)^1}{10000(0.2)^0}$

$\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2$

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

$P(t)=10000(0.2)^{t}$

We want t to represent months.

A full year is 12 months, in a full year we have that $P(1)=10000(0.2)^1=10000(0.2)=2000$

So we want a new P such that $P(12)=2000$ since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) $P(12)=10000(0.87449)^{12}=2000 \text{approximately}$

b) $P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}$

c) $P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}$

d) $P(12)=10000(0.87449)^{12+12}=400 \text{approximately}$

So a is the function we want.

Also another way to look at this:

$P(t)=10000(.2)^t$ where $t$ is in years.

$P(t)=10000(.2^\frac{1}{12})^t$ where $t$ is in months.

And $.2^\frac{1}{12}=0.874485 \text{approximately}$

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3 years ago

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Nonamiya [84]

Answer:

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Step-by-step explanation:

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Therefore, since 20-12 equals 8, Abebe will be twice as old as her sister Aster hers in 8 years.

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