Caitlin has a balance of $4,880 on her credit card that has an APR of 16%. She currently pays the minimum monthly payment of $105.86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months.
Income
Wages
$2,896.00
Expenses
Rent
$1200.00

Utilities
$212.64

Food/Clothes
$335.00

Entertainment
$346.00

Car
$490.00

Credit Card
$105.86

Cell Phone
$116.37
Net Income

$90.13

a.
Caitlin can eliminate $100 from Food/Clothes and $85 from Entertainment.
b.
Caitlin can eliminate $62 from Food/Clothes and $49 from Entertainment.
c.
Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 20 months.

Answer:

484feet

Step-by-step explanation:

If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.

The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)

dh/dt = -32t + 16

0 = -32t + 16

32t = 16

t = 16/32

t = 1/2

t = 0.5secs

Get the maximum height

Recall that h(t)=−16t^2 +16t+480

Substitute t = 0.5

h(0.5)=−16(0.5)^2 +16(0.5)+480

h(0.5) = -4 + 8 + 480

h(0.5) = 4 + 480

h(0.5) = 484

Hence the maximum height reached by Jason is 484feet

The maximum height that Jason reaches is h =  484 feet and it will be reached at t = 0.5 sec.

Let the function be denoted by [tex]y = f(x)[/tex]

If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.

Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]

The second derivative of that function is then evaluated on those critical values.

The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]

That means, if at  [tex]x = x_i[/tex] , we get

[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]

Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum

If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).

For the given case, we're given the height function as:

[tex]h(t) = - 16t^2 + 16t + 480[/tex]

The function is infinitely differentiable as its polynomial(by a theorem).

Its first and second rate with respect to 't', we get;

[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]

Thus, all critical points will be maximum points.

The critical points are evaluated by [tex]h'(t) = 0[/tex]

They are calculated as:

[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]

The height at t = 0.5 s is evaluated as:

[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]

Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.

Learn more about maximum and minimum values here:

https://brainly.com/question/13333267

Answer:

the last one i think

Step-by-step explanation:

Answer: x = 6

y= 6x2/13 + 5/13

Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

2/15

Step-by-step explanation:

Given that :

pretzel = 4

Popcorn = 3

Cheddar cracker = 3

Total = 4 + 3 + 3 = 10

Probability = Required outcome / Total possible outcomes

Selecting with replacement :

First selection :

P(pretzel bag) = 4 / 10

Second selection :

P(pretzel bag) = 3 / 9

P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15

Answer:

Yes

Step-by-step explanation:

The line is straight, showing a linear relationship between x and y.

Answer:

yes this does represent a funtion

Step-by-step explanation:

because if we use the vertical line test where you get a pencil and put it the graph verticaly any where thier is no points on the graph that toch the pencil twice

Answer:

123cm

Step-by-step explanation:

becuse

I think its:

2(2x-3y)-3(x-2y-4)4

4x-6y-3x-6y(4)

4x-6y-3x-24y

x-30y

Answer:

∠ 1 = 58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle, then

∠ 1 + 59° = 117° ( subtract 59° from both sides )

∠ 1 = 58°

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

Answer:

10+2x= the sum (anything could be put here)

Step-by-step explanation:

Well sum is automatically addition

Doubleing a number is basically multiplying it by 2

so

10+2x= whatever youw ant to put here

Answer:

In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.

My paper work is below:

y = x - 4

0 = x - 4

-x = -4

x = 4

Hope this helped..

Answer:

50, 130, 30, 60

Step-by-step explanation:

For the boys row (Simpsons)-20

For the girls row (Simpsons)-70

For the girls row (Lone Ranger)-50

For the total of Sesame Street- 110

Hope this helped!

Answer:

A = 76.3 degrees after 3 hours

Step-by-step explanation:

An exponential function is needed here:

A = P(1 - 0.05)^3, where this (1 - 0.95) reflects a DECREASE of 5%/hour.

Then:  A = (89 degrees)(0.95)^3, or

           A = 76.3 degrees after 3 hours

Answer:

15 cupcakes

Step-by-step explanation:

I'm guessing you mean that you want to find out how many cupcakes you'll need to buy.

Answer:

x=31....................

Answer:

B: (-2,-8)

Step-by-step explanation:

(-2,-8) works because (-2-5)^2 + (-8+11)^2 = 49 + 9 = 58

Answer:

SORRY I DONT KNOW THE ANSWER

Step-by-step explanation:

Answer:

cero con doscientas quince mil millonésimas

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

Answer:

8x^4-5

Step-by-step explanation:

8x^4-5

Just substitute 4x^2 into x

Answer:

= 32x^4-5

Step-by-step explanation:

Answer:

Rectangle

Interior angles are all 90°

Rhombus

All sides are congruent

Square

Diagonals are perpendicular

Answer:

x = 30, z = 45, y = 105

Step-by-step explanation:

The lines are straight, so:

x = 30

z = 45

y = 180 - (45 + 30)

So there

Answer:

A. the area of the large pond is 16 times the area of the small pond

Step-by-step explanation:

let's say 4 is the radius of the small circle, which means the area is 50.26548

if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772

so if you divide the big circle area by the small circle area:

804.24772/50.26548

it gives you 16.00000079577 which is rounded to 16

therefore, the bigger circle is 16 times bigger than the smaller circle

Answer: A is 8. B is the square root of 128.

Step-by-step explanation: Nah.

Answer:

I think 20,000 sheets of paper

Step-by-step explanation:

800 x 25 is 20,000

Answer:

The school has 20,000 sheets of paper.

Step-by-step explanation:

800 sheets in one pound

800X25=20,000

Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40