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3 years ago

You used p minutes one month on your cell phone the next month you used 75 fewer minutes

Mathematics

1 answer:

weeeeeb [17]3 years ago

4 0

(p-75)+p= total amount used

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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

4 years ago

5|2x - 3| + 4 = 9 How do you solve this

agasfer [191]

Answer:

x = 2, or x = -1

Step-by-step explanation:

If 2x - 3 is inside the parenthesis (), then the value of x is 2.

If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.

Solution 1

(10x-15) + 4 = 9

10x -11 = 9

10x = 20 -> x = 2

Solution 2 (Not 100% sure)

|10x -15| +4 = 9

10x + 15 +4 = 9

10x + 19 = 9

10x = -10 -> x = -1

Please correct me if I'm wrong.

3 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0

3 years ago

Help me!!!

Basile [38]

Answer:

this is your answer look it once.

8 0

3 years ago

WILL GIVE BRAINLIST TO CORRECT ANSWER

faust18 [17]

Answer:

C) $(9, 4)$

Step-by-step explanation:

$4 < 5$ ☑

$4 < 3[9] → 4 < 27$ ☑

Therefore, this solution is genuine.

I am joyous to assist you anytime.

4 0

3 years ago