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3 years ago

7

Jordan was looking for a cheap cell phone plan.

1 answer:

umka21 [38]3 years ago

7 0

Answer: Plan B

Step-by-step explanation:

First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months

Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .

Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65

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What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brot

Nat2105 [25]

Answer:

(b) is true

Step-by-step explanation:

Given

Molly

$a = 500$ --- starting balance

$m = 10$ --- monthly rate

Her brother

$a = 100$ ---- starting balance

$r = 10\%$ --- annual rate

Required

Determine which option is true

First, we calculate her brother's function.

The function is an exponential function calculated as:

$y = ab^x$

Where $b = 1 + r$

So, we have:

$y = ab^x$

$y = 100 *(1 + 10\%) ^x$

$y = 100 *(1 + 0.10) ^x$

$y = 100 *(1.10) ^x$

Hence:

$g(x) = 100 *(1.10) ^x$

Next, we calculate Molly's function (a linear function)

The monthly function is:

$y = mx + a$

So, we have:

$y = 10x + 500$

Annually, the function will be:

$y = 10x*12 + 500$

$y = 120x + 500$

So, we have:

$f(x) = 120x + 500$

At this point, we have:

$f(x) = 120x + 500$ ---- Molly

$g(x) = 100 *(1.10) ^x$ ---- Her brother

<u>Next, we test each option</u>

(a): Molly's account will have a faster rate of change over [32,40]

We calculated Molly's function to be:

$y = 120x + 500$

The slope of a linear function with the form: $y = mx + b$ is m

By comparison:

$m = 120$

Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.

$m = 120$

For his brother:

Rate of change is calculated using:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(40) - g(32)}{40 - 32}$

$m = \frac{g(40) - g(32)}{8}$

Calculate g(40) and g(32)

$g(x) = 100 *(1.10) ^x$

$g(40) = 100 * 1.10^{40} =4526$

$g(32) = 100 * 1.10^{32} = 2111$

So, we have:

$m = \frac{4526 - 2111}{8}$

$m = \frac{2415}{8}$

$m = 302$

By comparison: $302 > 120$

Hence, her brother's account has a faster rate over [32,40]

(a) is false

(b): Molly's account will have a slower rate of change over [24,30]

$m = 120$ --- Molly's rate of change

For his brother:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(30) - g(24)}{30 - 24}$

$m = \frac{g(30) - g(24)}{6}$

Calculate g(30) and g(24)

$g(x) = 100 *(1.10) ^x$

$g(40) = 100 * 1.10^{30} =1745$

$g(32) = 100 * 1.10^{24} = 985$

So, we have:

$m = \frac{g(30) - g(24)}{6}$

$m = \frac{1745 - 985}{6}$

$m = \frac{760}{6}$

$m = 127$

By comparison: $127 > 120$

Hence, Molly's account has a slower rate over [24,30]

(b) is false

(c): Molly's account will have a slower rate of change over [0,4]

$m = 120$ --- Molly's rate of change

For his brother:

$m = \frac{g(b) - g(a)}{b - a}$

$m = \frac{g(4) - g(0)}{4 - 0}$

$m = \frac{g(4) - g(0)}{4}$

Calculate g(4) and g(0)

$g(x) = 100 *(1.10) ^x$

$g(4) = 100 * 1.10^4 =146$

$g(0) = 100 * 1.10^{0} = 100$

So, we have:

$m = \frac{g(4) - g(0)}{4}$

$m = \frac{146 - 100}{4}$

$m = \frac{46}{4}$

$m = 11.5$

By comparison: $120>11.5$

Hence, Molly's account has a faster rate over [0,4]

(c) is false

4 0

3 years ago

Find the volume......

shepuryov [24]

Answer:

4312cm³

Step-by-step explanation:

volume of a prism = length×width×height

=22×14×14

=4312cm³

7 0

2 years ago

Read 2 more answers

[khan academy] <br><br> hello, please help me with this if youre able to, thanks uwu

Ostrovityanka [42]

Answer:

11 units

Step-by-step explanation:

To calculate CD use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(- 4, 6) and (x₂, y₂ ) = D(- 4, - 5)

CD = $\sqrt{(-4+4)^2+(-5-6)^2}$

= $\sqrt{0^2+(-11)^2}$

= $\sqrt{0+121}$ = $\sqrt{121}$ = 11

6 0

3 years ago

Read 2 more answers

Using your answer from the previous question, state the value of 't' if Josephine is going to run a dis-

gogolik [260]

Using the relation between velocity, distance and time, it is found that t = 3 hours.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, hence:

$v = \frac{d}{t}$

For this problem, the parameters are given as follows:

d = 15 miles, v = 5 mph

Hence the time in hours is found as follows:

$v = \frac{d}{t}$

$5 = \frac{15}{t}$

5t = 15

t = 15/5

t = 3 hours.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

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8 0

1 year ago

Homework help due today!!

SSSSS [86.1K]

Answer: D

Step-by-step explanation:

It's not iscolses or equal length

3 0

3 years ago