Karis receives $90000 per year working as a manager. She spends 15% every 3 month on her daughters college tuition. Write a function rule for the amount of money that Karis still has as a function of time in month

Answers

Answer 1

Answer:

[tex]f(m) = 90000 - 0.05m[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$90000[/tex]

[tex]Spending = 15\%[/tex] -- every 3 months

Required

Determine the function that shows her monthly balance:

Represent month with m

If she spends 15% every 3 months;

Then

She spends 5% every month

i.e.

[tex]monthly = \frac{15\%}{3}[/tex]

[tex]monthly = 5\%[/tex]

If [tex]1\ month = 5\%[/tex]

Then

[tex]m\ months = 5\% * m[/tex]

Monthly balance (f(m) is then calculated as:

[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]

[tex]f(m) = 90000 - 5\% * m[/tex]

[tex]f(m) = 90000 - 0.05 * m[/tex]

[tex]f(m) = 90000 - 0.05m[/tex]


Related Questions

What are some examples of Adjacent Congruent Angles.

Answers

Answer:

base angles of an isosceles triangleangles at successive corners of any regular polygonangles either side of an angle bisectorangles made by a perpendicular to a line (excluding vertical angles)

Step-by-step explanation:

When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.

Angles at successive corners of any regular polygon are congruent adjacent angles.

Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.

Evaluate the expression for g = 3. Write your answer as a decimal or whole number. 39(–0.5g + 2)^2 =

Answers

Answer:

9.75

Step-by-step explanation:

instructions in pic :)

Answer:

9.75

Step-by-step explanation:

g = 3

39(-0.5g + 2)²

plug in g

39(-0.5•3 + 2)²

solve within parentheses

39(-1.5 + 2)²

39(0.5)²

solve the exponent

39(0.25)

multiply

9.75

A square has a perimeter of 28 ft. What is the length of each side?

Answers

Answer:

7 Centimeters (CM)

Step-by-step explanation:

You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.

You are increasing all sides by a scale factor of 3.

This gives each side a length of 21cm

Hope this helped!

Answer:

7ft

Step-by-step explanation:

A square has 4 congruent sides so that means all sides are the same.

28 ÷ 4 = 7

23=1/3b-2+4/3b
what is the value of b?​

Answers

Answer:

b=15

Step-by-step explanation:

can someone help me with this please

Answers

Answer:

I think the answer is E.

Step-by-step explanation:

-3 -4= -7 and that's less than nine.

if x was 3 it would be -7 + 3 = -4 which is still less than nine

if x was -11 it would be -7 -11 = -18 which is also lower than nine

if x was -3 it would be -7 -3 = -10 that's less than nine as well

Answer:

I only

Step-by-step explanation:

I) 3

9 > -3 - 4(3)

9 > -3 - 12

9 > -15

9 is great than -15 so the value of 3 works.

II). -11

9 > -3 - 4(-11)

9 > -3 +44

9 > 41

9 is actually less than 41 so the value of -11 does not work

III). -3

9 > -3 - 4(-3)

9 > -3 + 12

9 > 9

9 is equal to 9, not greater than so the value of 3 does not work

Find the x- and y- intercepts of the linear equation y=x+5 x-intercept=? y-intercept=?

Answers

Y=5 x=-5
In x axis y =0
-x=5
X=-5
In y axis x=0
Y=5

A worker finds that it takes 9 tiles to cover one square foot of floor. Which equation represents relationship between the square feet (f) and the number of tiles ​

Answers

f= 9t . This is because each square foot is 9 tiles so however many square feet would be t. For ex. If you wanted 3 square feet then it would be f= 9(3) f=27 so you would need 27 tiles

I really really need help with this question!!! I do not know how to write it and everywhere else I've looked for help with this tries to make me pay to get help and an understanding. Will someone please help me with this???? I will give you "brainliest." I just REALLY need help with this one question. Someone please help me!!!

Answers

Answer: for part c the gas would not remain a liquid.

Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.

i do not know if this is correct but i did try so i am deeply sorry if this fails.

Today the temperature is 0 degrees Fahrenheit. The temperature rose
11 degrees Fahrenheit from yesterday's temperature.
What was yesterday's temperature?

Answers

Answer: -11 degrees Fahrenheit

Step-by-step explanation:

Find the slope of the line that passes through the points (3, 2) and (-2,-2). 0-4 4/5 5/4​

Answers

Answer:

Step-by-step explanation:

8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that contains 60 fruit loops, how many will probably be yellow?​

Answers

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

I NEED HELP ASAP PLEASEEEE
Evaluate the expression for m = –38.
–23(m + 39) =

Answers

Answer: -23

Step-by-step explanation:

Since we are given the value of m, all we have to do is to plug m into the expression and solve.

-23(-38+39)                  [parenthesis]

-23(1)                            [multiply]

-23

Now, we know that the expression is -23 when m=-38.

It says to solve for z, but don’t know how to.
Z-7x(-2)=-6

Answers

Answer:

z = - 6 - 14x

Step-by-step explanation:

Given

z - 7x(- 2) = - 6 , that is

z + 14x = - 6 ( subtract 14x from both sides )

z = - 6 - 14x

NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees

Answers

Answer:

y=5.44

Step-by-step explanation:

47+16y=134 subtract 47 from both sides

16y=87

y=5.44

A rectangular trampoline has an area of 187 square feet. The length of the trampoline is
What is its width? (Include the units)
O 11 feet
O 153 feet
17 feet
160 feet

Answers

Answer:

Its 17 feet and 11 units

Step-by-step explanation:

6+(-6) what is the answer to this I’m confused and I have test about this tommorow

Answers

Ohhhhhhhhhhhh dm me

Answer: The answer is 0

How many meters are there in 48 km?

Answers

48,000 meters

you’re welcome

3x-2=7????????????????



Answers

Answer:

x=3

Step-by-step explanation:

Step 1: Add two to 7 and inverse the minus 2

3x=7+2 3x=9

Step 2: Divide each number by 3.

3x/3=x and 9/3=3

so x=3

Which expression is equivalent to (X^5 +2X^2−4)−(−5X^5−3X^2+2X−7)?

Answers

Answer:

6[tex]x^{5}[/tex] + 5x² - 2x + 3

Step-by-step explanation:

Given

([tex]x^{5}[/tex] + 2x² - 4) - (-5[tex]x^{5}[/tex] - 3x² + 2x - 7)

Remove the parenthesis on the first factor and distribute the second by - 1

= [tex]x^{5}[/tex] + 2x² - 4 + 5[tex]x^{5}[/tex] + 3x² - 2x + 7 ← collect like terms

= 6[tex]x^{5}[/tex] + 5x² - 2x + 3 ← in standard form

100 students went on a field trip. 6 buses were filled and 10 students traveled to the destination in cars with their parents. How many students were on each bus?

Answers

Answer:

15 students on each bus!

Step-by-step explanation:

100-10(with parents)

90÷6(how many busses)

15 students on each

The students travelling on each bus are 15.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

Total number of students is given as 100.

The students to travel on car are 10.

Then, the students to travel on bus are given by following operation as,

Total students - Students to travel on car

⇒ 100 - 10 = 90

Now, the students on each bus can be obtained by using the division operation as below,

Students to travel on bus ÷ Total number of bus

⇒ 90 ÷ 6 = 15

Hence, the number of students on each bus is obtained as 15.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ2

Which numbers are a distance of 6 units from −2 on a number line

Answers

The answer is 4 and -8

Answer:

-8 and 4 are 6 away from -2

Step-by-step explanation:

------/----------------------------------------/----

-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

simplify 3x+6=18, please

Answers

Answer:

x = 4

Step-by-step explanation:

Step 1: Write out equation

3x + 6 = 18

Step 2: Subtract 6 on both sides

3x = 12

Step 3: Divide both sides by 3

x = 4

Answer:

4

Step-by-step explanation:

3x +6 =18

3x =18 - 6

3x =12

x =12 :3

x =4

3<5+6h<10
please do step by step

Answers

Answer:

see explanation

Step-by-step explanation:

Given

3 < 5 + 6h < 10 ( subtract 5 from each interval )

- 2 < 6h < 5 ( divide each interval by 6 )

- [tex]\frac{1}{3}[/tex] < h < [tex]\frac{5}{6}[/tex]

One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

Answers

Answer:

20 seconds

Step-by-step explanation:

Alarm 1 = every 10 seconds

Alarm 2 = every 5 seconds

Alarm 3 = every 4 seconds

If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm

Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,

Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds

Therefore, they will all sound at the same time again in the next 20 seconds

Find each of the following using prime
factorisation
(a)
[tex] \sqrt[3]{3375} [/tex]

Answers

Answer:

15

Step-by-step explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

[tex]\sqrt[3]{3375}[/tex]

= [tex]\sqrt[3]{3^3(5^3)}[/tex]

= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]

= 3 × 5

= 15

the answer would be 15

1) In a soccer game, the Eagles scored 7 points more than the Cougars. If the Cougars had scored 3 times as many
points, they would have scored 3 points more than the Eagles. How many points did each team score? Explain how
you solved this problem. Rubric: 3 points for the correct answer, 2 points for the explanation. (5pts total) Shou work
for credit. Solve using any method.

Answers

Answer:

the cougars scored 1 point and the eagles scored 8 points

Step-by-step explanation:

if the cougars would have scored 3 times more points they would have been at which means they scored 1 point because 1x3=3. and if the eagles scores 7 more points than the cougars they would have scored 8 points because 1+7=8.   :)

Please help, appreciated!

Answers

Answer:

-8

Step-by-step explanation:

-4 | 5+m|

Let m = -3

-4 | 5+-3|

Solve inside the absolute values first

-4  |2|

The absolute value of 2 is 2

-4 * 2

-8

Answer:

the value of the expression is -8

Step-by-step explanation:

-4|5+m|Substitute m = -3 in the expression -4|5+(-3)|-4|2|the absolute value of 2 is 2 so -4(2)-8

find the missing value

Answers

We can write a ratio:

15/5 = 36/x

Let "x" equal the unknown part of the triangle.

Solution:

15/5 = 36/x

~Cross multiply

15x = 180

~Divide 15 to both sides

x = 12

Best of Luck!

URGENT!!! Please help

Answers

Answer:

The 3rd answer i think

Step-by-step explanation:

POSSIBLE POINT
Evaluate each expression if a = 4, b = 6, and c = 2
What is
ab - c

Answers

Answer: 22
ab - c
4*6 - 2
24 - 2 = 22
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