Bernie is making monthly payments of $300 for a computer coding course that costs $2,500. He doesn’t need to pay any interest on the cost of the course. He started with $200 in his bank account. He plans to add $100 to his savings account every month. How many months will it take Bernie to pay off the total cost of the course using his savings?

Answer:

y = -1.50x + 15, Domain is from 0 to 10

Step-by-step explanation:

First, look at the question carefully and highlight all the words that are important. We know that the 15 dollar giftcard is important, and we know that each song costs 1 dollar and 50 cents is important. We will make an equation out of this information. Since she is spending money, the value of X will be negated. She starts out with 15 dollars, so that will be our y-intercept. From this, the equation is y = -1.50x + 15. Next, let's look at the domain. We can see that the question asks for a suitable domain, not the domain of the function. Since she didn't have more than 15 dollars from her gift card, any domain from negative infinity until 0 will be crossed out. The x-intercept of this equation is 10, so any value above 10 will be crossed out since you cannot spend more money than you were given. The domain would now be from 1 to 10.

Answer:

Using the quadratic formula:

x = [--44 +- sqr rt (-44^2 -4*24*12)] / 4*12

x = [44 +- sqr rt (1,936 -1,152)] / 48

x = [44 +- SQR RT (784)] / 48

x = (44 +- 28) / 48

x1 = 72 / 48 = 1.5

x2 = 16 / 48 = 1 / 3 = .3333333333...

Step-by-step explanation:

Answer:

26

Step-by-step explanation: I'm pretty sure its 26 because if k = 7 then 4 times 7 equals 28. Then you subtract 2. That's how I got 26.

Answer:

Step-by-step explanation:

[tex]4k-2\\k= 7\\[/tex]

Substitute 7 for k into the given equation

[tex]4(7)-2\\\\=28-2\\\\=26[/tex]

Add to find the total number of shapes.

6 + 2 = 8

Circles to total amount of shapes -> 2:8

Divide 2 to both sides.

2/2:8/2

1:4

Therefore, the answer is 1:4

Best of Luck!

Answer:

8x^2-44x-24

Step-by-step explanation:

(2x + 12)(4x-2)

=>8x^2+48x-4x-24

=>8x^2-44x-24

Answer:

18-14=4

4 more sandwiches.

Answer:

c=3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Domain is the furthest X value while Range is the furthest Y value.

Answer:

absolute value

Step-by-step explanation:

Answer:

yes it does, -6x2= -18

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

2/5 = 4/10

4/10 = 0.4

2/5 is not a repeating decimal.

Hope This Helps :)

Answer: Consider these numbers, ordered from least to greatest.

Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent

A number line going from negative 2 to positive 1.

Which values could correctly fill in the blank?

Select all that apply.

Step-by-step explanation:

The values that will correctly fill the blank when ordered from least to greatest on a number line are: 10%, -0.1, and ¼.

The number line given showing different positions of the numbers is shown in the image attached below.

The blank space that was left can only be filled with numbers that are above -0.2 and below 0.5.

From the options given:

Therefore the values that will correctly fill the blank when ordered from least to greatest on a number line are: 10%, -0.1, and ¼.

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Answer:

x = 3

Step-by-step explanation:

Hi there !

0 = - 2x + 6

2x = 6

x = 6 : 2

x = 3

Good luck !

Answer:

Step-by-step explanation:

27x -50 + 3x - 2 = 38

30x - 52 = 38

30x = 90

x = 3

27(3) - 50 = 81 - 50 = 31 = FG

Answer:

1*3*3*3*3*3*3=729. For each term you multiply the previous term by three.

Answer:

2187

Step-by-step explanation:

To find the 8th term, we can find and use the explicit formula.

The standard form of the explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the first term is 1, and each term is 3 times the previous term. Thus, the common ratio is 3.

Substituting these into our equation, we will have:

[tex]x_n=1(3)^{n-1}\\x_n=(3)^{n-1}[/tex]

So, to find the 8th term, substitute 8 for n:

[tex]x_8=(3)^{8-1}[/tex]

Subtract:

[tex]x_8=(3)^7[/tex]

Evaluate:

[tex]x_8=2187[/tex]

So, the 8th term is 2187.

And we're done!

Answer:

0

Step-by-step explanation:

The original amount of dimes Marcy had before sharing with Jaunita is 52.

Let's break down the given information step by step to determine the original number of dimes Marcy had.

Marcy gave Juanita as many dimes as Juanita had.

After this transaction, Juanita now has 26 dimes, and Marcy has x - 26 dimes, where x is the original number of dimes Marcy had.

Juanita gave Marcy as many dimes as Marcy had left.

After this transaction, Marcy now has 20 dimes, and Juanita has 26 - 20 = 6 dimes remaining.

From the above information, we can set up the following equation:

x - 26 = 20 + 6

Simplifying the equation:

x - 26 = 26

Adding 26 to both sides:

x = 52

Therefore, the original amount of dimes Marcy had is 52 dimes.

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Answer:10 more

Step-by-step explanation:

distributive property so 3*4+3*5 so 12 an 15 or 27.  3*4+5 is 12+5 so 17  27-17 is 10

Answer:

4

Step-by-step explanation:

3(4+5) = 12

3.4+5 = 8.5

12 - 8.5 = 7.5

hope this helps you

Answer:

BC = 144 units

Step-by-step explanation:

BC = BD + DC , substitute values

8x = 4x + 10 + 3x + 8 = 7x + 18 ( subtract 7x from both sides )

x = 18

Thus

BC = 8x = 8 × 18 = 144 units

Answer:

1x

Step-by-step explanation:

Answer:

-20x

Step-by-step explanation:

Answer:

9.095 is the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what are we supposed to check.......and by the way you have written the answer at below too

You put in 3 to you piecewise function and 2 to your X value

Step-by-step explanation:

Let x be the number.

Then the algebraic expression will be x^2 + 11x.

The algebraic expression in x will be : x² + 11x

Given,

Variable x,

The sum of the square of a number and eleven times the number.​

Now,

Let the variable be x .

Square of variable : x²

Eleven times of the variable x : 11x

Now combine the term to get the algebraic expression,

Alegbraic expression : x² + 11x

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Answer:

28.26 miles

Step-by-step explanation:

Area= pi times radius squared

diameter is twice the radius so 6÷2=3miles

3 miles is the radius

So A= 3.14 × 3²

= 28.26

Formula: A = πr²

Divide to find the radius.

6 / 2 = 3

Solve using the values we are given and solved for.

A = π(3)²

A = 9π

A ≈ 28.26

Best of Luck!

[tex]\text {Hey! To solve this problem you must...}[/tex]

[tex]\text {Simplify the Equation:}[/tex]

[tex]\text {Multiply (x+8) by 2.}[/tex]

[tex]\text {x becomes 2x. 8 becomes 16}[/tex]

[tex]2x+16>x+14 \text { will be your answer once you simplify it.}[/tex]

[tex]\text {The Next Step is to Subtract x:}[/tex]

[tex]\text {Q: Why Subtract x instead of adding x?}[/tex]

[tex]\text {A: We need x to cancel out. So x-x will cancel out each other.}[/tex]

[tex]\text {Note: In equations like these x-x is another way of saying 1-1.}[/tex]

[tex]2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}[/tex]

[tex]\text {The Final Step is to Subtract 16.}[/tex]

[tex]\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}[/tex] [tex]\text {That's what we are working towards.}[/tex]

[tex]x+16-16>14-16\\x>-2 \text { would be your final answer.}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Hey there!

[tex]2(x+8)>18+x-4[/tex]

In our first step, we will need to simplify the inequality.

[tex]2x+16>x+14[/tex]

Now we have to subtract x from both sides of the inequality.

[tex]2x+16-x>x+14-x=x+16>14\\x+16>14[/tex]

In our last step, we will need to subtract 16 from both sides of the inequality.

[tex]x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}[/tex]

Hope this helps!

[tex]\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}[/tex]

Answer:

part 2 is A: yes

Step-by-step explanation:

Option B is correct.

We have the two following equations -

A.   5 = -2(x - 1)

B.   5 = -2x + 2

We have to find out how can we get Equation B from Equation A?

According to the distributive property -

a(y + z) = (a x y) + (a x z)

According to the question -

We have -

-5 = -2(x - 1)

Using the distributive property, we can rewrite the right hand side as follows -

-5 = -2(x - 1) = ( -2x ) + (2) = -2x + 2

Hence, option B is correct.

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Answer:

Y=75 bring a linear angle

Answer:

Y is 75 by linear pair

hope it's help h

Answer:

The answer is C.

Step-by-step explanation:

Given that ∠I and ∠K have the same angles so we can assume that this is an Isoceles Triangle where 2 sides are equal. So we can compare the expressions of JI and JK to get the value of x :

[tex]JI = 5x + 4[/tex]

[tex]JK = 2x + 7[/tex]

[tex]JI = JK[/tex]

[tex]5x + 4 = 2x + 7[/tex]

[tex]5x - 2x = 7 - 4[/tex]

[tex]3x = 3[/tex]

[tex]x = 1[/tex]

Next, we have to substitute the x value into the expression of JK :

[tex]JK = 2(1) + 7[/tex]

[tex]JK = 2 + 7[/tex]

[tex]JK = 9[/tex]

(Correct me if I am wrong)