Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.​

Answers

Answer 1

Answer:

N=0.019666a-0.983284 or

A = 50.85n + 50

Step-by-step explanation:

Let's solve for n.

a = 50 + 50.85n

Step 1: Flip the equation.

50.85n + 50 = a

Step 2: Add -50 to both sides.

50.85n+50+-50=a+-50

50.85n n = a - 50

Step 3: Divide both sides by 50.85.

50.85n

50.85

=

a-50

50.85

n=0.019666a-0.983284

Let's solve for a.

a = 50 + 50.85n


Related Questions

What is the domain and range of the function below

Answers

Domain is [+7,+infinity[

Write each number without exponent 6.453 x 10^-3

Answers

Answer:

.006453

Step-by-step explanation:

6.453 x 10^-3

Move the decimal 3 places to the left since the exponent is negative

006.453

.006453

The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?​

Answers

Answer:

May we assume "f-'(x)" means the fiurst derivative of f(x)?  I'm not sure what f-'(x) sign means, if not that.  The answer assume this is the first derivative.  No graphs are shown, so I'll add one.

Step-by-step explanation:

f(x) = 2x + 3

f'(x) = 2

The graph would be a staight vertical line through x=2.  The slope of the line f(x) = 2x + 3 is 2

What is the slope-intercept form of the linear equation x + 4y = 12?
Quick please!!!!

Answers

Answer:

y=(12-x)/4

Step-by-step explanation:

subtract x on both sides, then divide by four

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

x +4y = 12

    4y = -x + 12

Divide the entire equation by 4

[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]

I need help solving this

Answers

Answer:

Step-by-step explanation:

(-16x+13)+(-20x+23)=180. I know that the sum of those two angles would equal 180, since they are supp.

x=-4

Then I would sub in -4 where I see a x

-16(-4)+13=77

-20(-4)+23=103

angle LMP = 77

angle NMP = 103

together = 180 so it's correct

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

That would be linear because its going at a constant rate of change

A mobile phone company increases its monthly prices by 1.8% to 35.62. How much is the monthly price increase?

Answers

Answer:

0.62982 monthly price increase

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

2p -2

Step-by-step explanation:

To find the perimeter, add up all the lengths of each side of the rectangle.

Perimeter

= 2 +2 +p -3 +p -3

= 2 +2 -3 -3 +p +p

= -2 +2p

= 2p -2

Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16

Answers

Answer:

[tex]x<12[/tex]

Step-by-step explanation:

[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]

Option A is correct, x<12 represents the solution set of 5(x+5) <85

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

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At a local grocery store, 7 lb of squash cost $14.00
and 4 lb of tomatoes cost $10.00.

Answers

Answer:

1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00

Step-by-step explanation:

X = 4 + y
2x – 3y = 1

Answers

We know x = 4 + y  (1)

So 2x - 3y = 1  

<=> 2.(4 + y) - 3y = 1

<=> 8 + 2y - 3y = 1

<=> 8 - y = 1

<=> y = 8 - 1

<=> y = 7  (2)

move (2) to (1) : x = 7 + 4 = 11

ok done. Thank to me :>

Given the graph below, which of the following could be the quadratic equation?



A.
[tex]3(x + 2 {)}^{2} + 5[/tex]
B.
[tex] - {x}^{2} + 8x + 18[/tex]
C.
[tex] - 2(x - 3 {)}^{2} + 1[/tex]
D.
[tex] {x}^{2} - 8x + 18[/tex]
Needs to be answered quickly​

Answers

Answer:

only D as the correct answer

Step-by-step explanation:

The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.

A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.

This leaves only D as the correct answer.

PLEASE HELPPPPPPPPPPPPP

In a recent year, 34.7% of all registered doctors were female. If there were 48,900 female registered doctors that year, what was the total number of registered doctors?

ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER

Answers

Answer:

140922

Step-by-step explanation:

48900/34.7 = 1409.2219

1409.2219 *100 = 140922.19

rounded - 140922

The length of the base of an isosceles triangle is x. The length of a leg is 5x -5. The perimeter of the triangle is 111. Find x

Answers

Answer:

x = 11

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.

In an isosceles triangle there is a base and two equal legs

Perimeter = (x)  + (5x - 5) = (5x - 5)

            111 = 11x -10

           111 + 10 = 11x

            121 = 11x

            [tex]\frac{121}{11} =\frac{11x}{11}[/tex]

               x = 11

The data set represents the number of hours that fifteen students walked during a two-week period.

6 6 7 8 8 8 9 10 10 12 13 14 15 16 30

The median is 10 hours, Q1 is 8, Q3 is 14, and the IQR is 6 hours. Are there any outliers in the data? Explain or show your reasoning.

please help

Answers

Answer:

Yes, 30 would be your outlier.

Step-by-step explanation:

The rest of the numbers are closer and 30 is far away from the rest.

Can someone help me?​

Answers

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

9 4/5÷3 1/2 as a fraction

Answers

Answer:

As an improper fraction, the answer is 14/5, and as a mixed fraction, the answer is 2 4/5.

Step-by-step explanation:

Brainliest Please!

confused can get some help plz

Answers

Answer:

Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded

Step-by-step explanation:

- 3/4(12x+16)<9-5x Show your work

Answers

Answer:

x > -5.25

Step-by-step explanation:

Which is bigger 12 cm or 102 mm

Answers

12 CM!!!!!!!!!!!!!!!!!!!!

On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.

To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.

Now, the conversion factor cm and mm is

1 cm = 10 mm

Then, using the conversion factor convert 12 cm to mm

12 cm = 12 x 10 mm

         = 120 mm

Now, compare 120 mm and 102 mm which gives 120 mm is greater.

Thus, 12 cm is greater than 102 mm.

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Which of the following is a solution to the inequality below?

–4 +
10
m
< –68
10 points

Answers

Answer:

m < - 6.4

Step-by-step explanation:

- 4 + 10m < - 68 ( add 4 to both sides )

10m < - 64 ( divide both sides by 10 )

m < - 6.4

Answer:

m can be -9

Step-by-step explanation:

-4+10m < -68

10m < -64

m < -6.4

using this statement, m can be any value less than -6.4, such as -9.

Alacrosse player throws a ball in the air from an initial height of 7 feet.
The ball has an initial vertical velocity of 90 feet per second. Another player catches the ball when it is 3 feet
above the ground. How long is the ball in the air? Round your answer to the nearest hundredth.

Answers

Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at brainly.com/question/24626341

Step-by-step explanation:

At 6 a.m. the temperature was -9oF. By 11 a.m., the temperature had increased 34oF. What was the temperature at 11 a.m.?

Answers

The resulting temperature was 25oF.

Fill the gaps in the
a Die
x = -7
5x - 7 ?

Answers

Answer: -42

Step-by-step explanation:

If X = -7

Then:

= 5(-7) - 7

= -35 - 7

= -42

Hope it helps:)

Select all that are solutions to the inequality below:
3x - 15 > 3

Answers

Answer:

solutions are all values greater than 6

Step-by-step explanation:

add 15 to each side to get:

3x > 18

divide each side by 3 to get:

x > 6

solutions are all values greater than 6

There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?

Answers

Answer:

10 sheets of paper are striped

Step-by-step explanation: Make a proportional relationship.

20% as a fraction is 20/100

Make 50 into a fraction using a variable. For example, x/50

Cross multiply 20 and 50. That equals 1000.

Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.

Hope this helps!

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?

Answers

Answer:

The credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

Step-by-step explanation:

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

:

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

:

I need some help please

Answers

The length is 5 units.

2
For the following Arithmetic Sequence, find the explicit form, and then find a 40
11, 1,-9, -19, ...
a40 =
an=

Answers

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.

Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD

Answers

A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.

A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.

Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

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