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3 years ago

if your cell phone bill was $67.82 and there's a 7.5% late fee how much will you pay for your phone bill

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

$67.82 if you pay it on time.
$90.43 if you pay it late.

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

3 years ago

3x+4y-3z=4;5x-y+2z=3;x+2y-z=-2 Solving Systems in three variables

Harlamova29_29 [7]

Answer: x = 3, y = 1, z = 2

Step-by-step explanation:

EQ 1: x - y - z = 0

EQ 3: -x + 2y + z = 1

y = 1

EQ 2: 2x - 3y + 2z = 7 → 1(2x - 3y + 2z = 7) → 2x - 3y + 2z = 7

EQ 3: -x + 2y + z = 1 → -2( -x + 2y + z = 1) → -2x + 4y + 2z = 2

y + 4z = 9

y = 1 ⇒ 1 + 4z = 9

4z = 8

z = 2

Input y = 1 and z = 2 into one of the equations to solve for x:

EQ 1: x - y - z = 0

x - (1) - (2) = 0

x - 3 = 0

x = 3

Check:

EQ 2: 2x - 3y + 2z = 7

2(3) - 3(1) + 2(2) = 7

6 - 3 + 4 = 7

3 + 4 = 7

7 = 7 $\checkmark$

6 0

2 years ago

Find the range of the function rule y=5x-2 for each domain. {-1.2, 0, 4}

Firlakuza [10]

Domain is inputs, input the domain for x
y=5(-1.2)-2
y=-6-2
y=-8

y=5(0)-2
y=0-2
y=-2

y=5(4)-2
y=20-2
y=18

range is {-8, -2, 18}

5 0

2 years ago

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A student estimates that it takes 2 hours to read 25 pages. At this rate, how many hours will she need to read 425 pages?

wolverine [178]

Answer:

34 hours

Step-by-step explanation:

2:25 = x:425

25/2 = 12.5

425/12.5 = 34

so it is 34:425

She will need to read for 34 hours to read 425 pages

7 0

2 years ago

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102) Find the price of one marker if four markers cost $11.36. help asap please!!!

Viktor [21]

Answer $2.84

Step-by-step explanation:

11.36 divided by 4

6 0

3 years ago

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