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tamaranim1 [39]
2 years ago
11

The law of exponent used in is _____

Mathematics
2 answers:
Lady bird [3.3K]2 years ago
5 0
A is the answer I just did that on my usa test prep
VikaD [51]2 years ago
4 0
The answer is a, quotient of power
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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]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

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}

8 0
3 years ago
Construct the exponential function that contains the points (0,2) and (3,54)
erma4kov [3.2K]

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

<h3>How to construct the exponential function?</h3>

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

brainly.com/question/24077767

8 0
2 years ago
Which terms are like terms in the expression 5x + 9 + (-7x)
Veronika [31]

Answer:

5x and -7x

Step-by-step explanation:

they both end in the variable "x"

7 0
3 years ago
Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake she sells. Sandy wants to sell at least 5
Assoli18 [71]

Answer:

two possible combinations are

- 7 cups of lemonade and 11 cupcakes

- 10 cups of lemonade and 5 cupcakes

Step-by-step explanation:

5 0
3 years ago
Which of the following coordinates would be on the line y = 2x (0, 2) (2, 0) (1, 2) (2, 2) Please explain it!
jolli1 [7]

Answ(0,2)

By putting x 0 and y 2

Step-by-step explanation:

4 0
3 years ago
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