Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?

Answer:

a = 29

b = 20

Step-by-step explanation:

2a - 1 = 57

    + 1     + 1

2a = 58

/ 2    / 2

a = 29

2a - 1 + 7b - 17 = 180

2 (29) - 1 + 7b - 17 = 180

58 - 1 + 7b - 17 = 180

57 + 7b - 17 = 180

7b + 40 = 180

      - 40     - 40

7b = 140

/ 7      / 7

b = 20

Answer:

10i

Step-by-step explanation:

The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.

To determine the actual value of the square root of negative 100, we can proceed as follows:

Let s be the square root of negative 100.

Then s^2 = -100.

So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.

So s = 10i.

So the square root of negative 100 is equal to 10i.

Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.

Answer:

10i

Step-by-step explanation:

Since, it's a negative square root you have to use imaginary numbers to make it solvable. Hope this helps! :)

Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]

Answer:

Step-by-step explanation:  

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

Answer:

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear (exponential). If your equation has no exponents, it is linear.

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent

Step-by-step explanation:

your answer is 60

hope it helps :)

try this...............

Answer: 4/5 (B)

Step-by-step explanation:

The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class

Here the number of students who prefer soccer = 20

The total number of students in Arturo’s class = 20 + 16 = 36

According to the given situation, the required ratio is written as:

The required ratio = students who prefer soccer / total number of students

The required ratio = 20 / 36

Convert the above fraction into the simplest form

The required ratio = 5/9

Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

Learn more about the Ratios here:

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Answer:

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} * b^{3}}{cd}[/tex]

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

[tex]\frac{(a*a)(b*b*b)}{c*d}[/tex]

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

Answer:

7 1/2

Step-by-step explanation:

8x = 12

divide both sides by 8 to get x alone

this proves that x = 1.5

because 12/8 = 1.5

then

2y + 10 = 22

subtract 10 from both sides : 2y = 12

then divide both sides by 2 to get y alone

y = 6

then

add x and y together : 6 + 1.5 = 7.7 or 7 1/2

Answer:

which one, i just took a test, and im from texas

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3,5

,5,0

Answer:

The total volume of this 3D Figure is 944.

Step-by-step explanation:

The volume of:

1. The above figure is 400.

2. The bottom figure is 544.

3. Add the total volume of those 2 figures (400+544).

4. You have found the final answer!

Answer:

So the first part of this shape is 400 ft and the secound part of this shape is 544 ft. Hence, since want the whole shape volume your answer would be and always will be 944 ft.

Step-by-step explanation:

since i'm pretty good at math I well tell you how I got this answer in this qustion I seen that this figure is 3-dimensional meaning that we have height,length, and width ( there is two more and were not going to talk about it ) prove we got to time not 2 but 3 times and since this figure has 2 part we would need to brake it into and mutlply both parts (sepertly) to get the answer right so for the first part (or what on the top).

1st part

since the height is 5 ft. that is the first part of our equation,I see that the width must be 10 ft., which well be the second part of our equation, and i see the length is  8 ft so our equation is , 8x10x5 witch mean the first part of the figure is 400 ft

2nd part

since the height is 4 ft. this mean we have the first part of our equation,the width is 8 ft so that the second part of our equation,and I see the length is 17 ft., means this equation is 4x8x17 so this part of the figure is 544 ft.

The whole figure

So with are info from the first and second part of our equation we can now add both parts of the figures  means if we add both of them the answer would be 944 ft.

if you don't other stand  here a tip:In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width and height. Unlike two-dimensional shapes, three-dimensional shapes have thickness or depth.

brainliest pls and thank you this is was all hard work

(If one square on the graph = one centimeter)

b = 10cm

b = 10cmh = 10cm

Area:

[tex] = \frac{1}{2} \times b \times \: h[/tex]

[tex] = \frac{1}{2 } \times 10 \times 10[/tex]

[tex] = \frac{1}{2} \times 100[/tex]

[tex] = 50 {cm}^{2} [/tex]

Step-by-step explanation:

P(two green candies)

15 candies in total

5 green/15 total

which is equal to 1/3

left over candies= 13 because we are removing 2 green from the total

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)

Answer:

C

Steps

The A equation is impossible (even if it looks like solvable with quadratic formula)

Have a good day

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The quadratic formula can be used to solve quadratic (2nd-degree) equations. The degree of the equation is the largest exponent of the variable.

The degrees of these equations are ...

  A. 2

  B. 3

  C. 2

  D. 3

Equations A and C are quadratic, so can be solved using the quadratic formula.

Answer:

y=4

Step-by-step explanation:

Answer:

Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.

Step-by-step explanation:

your welcome

Answer:

x < 15

Step-by-step explanation:

we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.

2x < 10 x 3

2x < 30

we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30

x < 30 ÷ 2

x < 15

Answer:

x=15 or false

Step-by-step explanation:

In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.

Answer:

a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.

Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.

Revenue function = 1.299r + 1.379p

b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.

Cost function = 1.219r + 1.289p

c. Total profit = Revenue - Cost

= 1.299r + 1.379p - 1.219r - 1.289p

= 1.299r - 1.219r + 1.379p - 1.289p

= 0.08p + 0.09p

d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;

= (0.08 * 100,000) + (0.09 * 40,000)

= 8,000 + 3,600

= $11,600

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Answer:

he was billed for 147 minutes

Step-by-step explanation:

I got it right

Answer:

(a+k(x-a), b+k(y-b))

I = (5, 5)

N = (8, 3)

R' = (5, 3)

O' = (9, 1)

S' = (11, 9)

Step-by-step explanation:

Answer:

the first one

Have a safe and happy new years

The function f(x) = -3 |x+2| represent the graph A. The correct option is A.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.

Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.

To know more about functions follow

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Answer:

9 inches wide

Step-by-step explanation:

What we know:

Cindy has a 3-inch by 4-inch picture.

She wants to enlarge that picture so the length is 12 inches.

It's 4 inches long in the original, and 12 inches in the scale.

Divide 12 by 4 to get a scale factor of 3.

Multiply 3 by 3 (essentially 3^2) to get 9 inches as the width.