3.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

A. y = 45(x – 4); $180
B. y – 270 = 45(x – 2) ; $450
C. y = 45(x – 4); $270
D. y – 270 = 45x; $45

Answers

Answer 1

Answer:

B. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

In February, you have a balance of $270 in your bank account.

In January, you have a balance of $270 - $45 = $225 in your bank account.

In December, you have a balance of $225 - $45 = $180 in your bank account.

y = $180 + $45x, where x = 1, 2, 3, 4...

Balance in June: x = 6

y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450

The complete question is:

In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

Answer:

$450 in June

Step-by-step explanation:

$X = 270 + 45 × ( number of month)  

In this problem, February, the month you start with, would be month 0.

June would be 4.

$X = 270 + 45 × 4

= 270 + 180

= $450 in June

$450 in June.


Related Questions

Мне нужна помощь с 79% из 67 миль - это что?

Answers

Answer:

52.93 miles

Step-by-step explanation:

79% of 67 miles =

0.79 * 67 = 52.93

52.93 miles

-Chetan K

Can someone help me with this?
You may answer as much as you can.​

Answers

Answer:

17 obtuse triangle

Step-by-step explanation:

hope it helps

Answer:

11. corresponding

12. consecutive interior

13. alternate exterior

14. alternate interior

15. corresponding

16. consecutive interior

17. alternate interior

PLEASE HELP ASAP!!!!! <333

Answers

Answer: Scientific notations

1) 4.4822 x 10^10

2) 1.05 x 10^-5

3) 9.5 x 10^-4

4) 4.2035 x 10^5

5) 2 x 10^4

Step-by-step explanation:

Answer:

1. 4.4822 x 10^10

2. 1.05 x 10^-5

3. 9.5 • 10^-4

4. 4.2035 x 10^8

5. 2 x 10^4

6. 0.092 x 10^6

7. 0.5014 x 10^-3

8. 400 x 10^-14

9. 0.77 x 10^8

10. 0.0215 x 10^1

What is the largest number?

Answers

Answer:

The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100. To show how ridiculous that number is, mathematician Wolfgang H Nitsche started releasing editions of a book trying to write it down.

Step-by-step explanation:

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5x(x−2)+6x−3(x^2−7)
is equivalent to which of the following expressions?

A) 2x^2+6x−9

B) 2x^2−4x−21

C) 2x^2−16x+21

D) 2x^2−4x+21

Answers

Answer:

D) 2x^2 - 4x + 21

Step-by-step explanation:

5x(x−2)+6x−3(x^2−7) = 2x^2 - 4x + 21

0 = 0

I used a calculator, pls let me know if im incorrect

The given expression 5x(x−2)+6x−3(x²−7) will be equivalent to 2x²- 4x + 21. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 5x(x−2)+6x−3(x²−7). The expression will be solved as below:-

E = 5x(x−2)+6x−3(x²−7)

E = 5x² - 10x + 6x - 3x² + 21

E = 2x² - 4x + 21

Therefore, the given expression 5x(x−2)+6x−3(x²−7) will be equivalent to 2x²- 4x + 21. The correct option is D.

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If f(x) = √ x + 3, then f' (1) =

Answers

Answer:

4

Step-by-step explanation:

Do you see f(x) (f of x)? if the (x) part is a number, plug that number in as x on the other side of the equal sign. If I plug 1 in, I get 4, because the square root of 1 is 1, and 1+3=4.

what's the formula for calculating the surface are of a cylinder​

Answers

Answer:

The general formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr2 .

Answer:

the surface area of a cylinder:

TSA=2[tex]\pi \\[/tex]r(r+h)

Step-by-step explanation:

can you help me with number 11 its fine the slope of of the line that passes through each pair of points​

Answers

Answer:

is the question complete!

4x - y + z = -5
-x + y -z = 5
2x -z -1 = y

linear systems 3 variables I'm lost

Answers

Step-by-step explanation:

rewriting the third equation

[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]

add to second equation to the first

[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]

[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]

I add third equation to the second

[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]

substitute z = -3 into either one of the other two equations and solve for y

[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]

x = 0

y = 2

z = -3

Answer:

x=0,z=-3,y=2

Step-by-step explanation:

sry for late response

what fraction of a clockwise revolution does the hour of a clock turn through when it goes from a) 4 to 7 b) 8 to 2 c) 1 to 10 ​

Answers

Answer:

a) 3/12 = 1/4

b) 6/12 = 1/2

c) 9/12 = 3/4

Step-by-step explanation:

To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.

The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.

Hope this helps!

The quotient of a number and 4 is less than -1.

Answers

Answer:

inequality: n/4 < -1

n < -4

Step-by-step explanation:

1. "The quotient of a number and 4" means that we're dividing a number, n, by 4: [tex]\frac{n}{4}[/tex]. "Less than -1" means that we have to use the < (less than) sign and put -1 after it. When we put these terms in a quantity, they look like this: [tex]\frac{n}{4} < -1[/tex].

2. Now, let's solve the inequality above.

Step 1: Multiply both sides by 4.

[tex]\frac{n}{4}*4 < -1 * 4[/tex] [tex]n < -4[/tex]

Therefore, the inequality is n/4 < -1, and the solution to that inequality is n < -4.

What is the domain and range of the function?
Domain:

Answers

Answer:

Domain: {x∈R}

Range: {f(x)∈R | f(x) ≥ 0}

Step-by-step explanation:

The domain of a function is, in simple terms, all the possible x values of a function (input values), and as the graph shows that all x values are possible (x, 0 and -x) meaning x can be any rational number, represented by the R and the subset symbol (∈).

The range is all the possible f(x) values (outputs/y values) and if you look at the graph you see that it isn't possible for the f(x)/output/y values to be negative so we write:

{f{x}∈R (f(x)/output/y value is rational) | (and) f(x) ≥ 0 (f(x)/output/y value is bigger or equal to 0, not negative)}

Hope I helped :)

next term in each sequence 1,4,20,120,...​

Answers

1 x 4 = 4
4 x 5 = 20
20 x 6 = 120
120 x 7 = 840

So the answer is 840

Answe840is the answers for the question

Step-by-step explanation:

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negative five divided by five sevenths

Answers

Answer:

-7

Step-by-step explanation:

-5 ÷ 5/7

⇒ -5 × 7/5

⇒ -7

hope this helps !

pls mark as brainliest :))

[tex]\\ \sf\longmapsto -5\div \dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto -5\times \dfrac{7}{5}[/tex]

[tex]\\ \sf\longmapsto -1(7)[/tex]

[tex]\\ \sf\longmapsto -7[/tex]

A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at_______.If the point is to the right of 0, then the point is located at_______.Whether the point is to the left or right of 0, the distance from 0 to the point is ____units.

Answers

Answer:

A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.

Step-by-step explanation:

Have a good day :)

In a bag of marbles there are 3 red, 4 green, and 3 blue marbles. Which probabilities represent Nora's chances of NOT picking a green marble? (pick three boxes) *
Answer choice :: (numbers)
²/₅
6%
40%
60%
³/₁₀
.3
3%
³/₅
30%
4%
.6
.4

Answers

Answer:

3/5

Step-by-step explanation:

Red + blue marbles/ Total marbles

1b. True or False? Explain your answer without multiplying. 2 points
(2x - 3)(5x^2 - 2x + 6) = (3x-2)(5x^2 - 2x + 6)
ANSWER AND EXPLANATION:​

Answers

Answer:

False

Step-by-step explanation:

Solution 1

The easy way is to compare the leading terms or constants.

LHS

The leading term is:

2x*5x² = 10x³

The constant is:

(-3)*6 = -18RHS

The leading term is:

3x*5x² = 15x³

The constant is:

(-2)*6 = -12

We see both the leading terms (10x³ ≠ 15x³) and constants (-18 ≠ -12) are different so the equation is false.

Solution 2

We see one of the factors is same on both sides:

5x² - 2x + 6

The other factors are:

2x - 3 = 3x - 2

Since this factor is different on both sides, the equation is false

False

How?

Let 5x^2-2x+6 be A

The expression will be

[tex]\\ \sf\longmapsto A(2x-3)=A(3x-2)[/tex]

[tex]\\ \sf\longmapsto 2x-3=3x-2[/tex]

But it's impossible

[tex]\\ \sf\longmapsto 2x-3\neq 3x-2[/tex]

Find the slope of each graph by comparing the ratio of the rise over the run. (only do #3)

Answers

Answer: undefined

Step-by-step explanation:

Question 3 is undefined.

rise/0 is undefined.

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What is the side length of square A?

Answers

Cubic measures?.. I dont know the proper term but my best guess is 5 cubic measures

Find the slope of a line if it goes through (2, 5) and (-2,9)

Answers

Hello!

The slope of a line is found using the following formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{9-5}{-2-2}[/tex]

[tex]m=\frac{4}{-4}\\m=-1[/tex]

So the slope is -1.

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

f(x) = 4x + 7. Find the inverse of f(x).
A. f '(x) = 7 - 4.3
B. f 1(x) = 4x - 7
4
IT
c. f '(2)
x= 4
D. f '(x) =
7

Answers

Answer:

f '(x) = 4

Step-by-step explanation:

download photo math on your phone

please do this for me

Answers

Answer:

hope it will helpful for uhh

make me brainliest plz

through: (-1, 4) and (-4, 2)

Answers

Midpoint= (-2.5, 3)

[tex] distance \: = \sqrt{13} [/tex]

Equation:

[tex]y = \frac{2x}{3} + \frac{14}{3} [/tex]

Answer:

[tex]First \: you \: find \: the \: gradient \: of \: the \\ \: line \: using \: the \: formula[/tex]

[tex] \frac{ {y}{2} - y1}{x2 - x1} [/tex]

[tex] \frac{ 4 - 2}{ - 1 - - 4} = \frac{2}{3} = 0.66666666666[/tex]

[tex]Next, use \: the \: equation \: of \: a \: line \: \\ which \: is[/tex]

[tex](y - y1) = m(x - x1)where \: m \: is \: the \: gradient.[/tex]

[tex](y - 4) = 0.66666666666(x - - 1)[/tex]

[tex] = y - 4 = x + 0.66666666666[/tex]

[tex]Therefore,[/tex]

[tex]y = x + 4.66666667[/tex]

Step-by-step explanation:

[tex]Sry \: if \: it \: is \: wrong...[/tex]

[tex]\huge\red{T}\pink{H}\orange{A}{N}\blue{K}\gray{S}........[/tex]

PLEASE HELPPP!!!!!! NO LINKS

Answers

Answer:

1/2 of an answer is zero answer.i dont know

Step-by-step explanation:

explain how the inverse and the contopositivve of a conditional are alike and how they are different

Answers

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

Here is an example:

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

Based on the information from the example, you can conclude:

Primary Similarity:

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

Primary Difference:

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

Work out the value of

n

1

4

÷



2

=

2

n

Give your answer as an improper fraction.

Answers

Answer:

0

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

3/4 x 7/10 = ? in a fraction simplest form

Answers

Answer

[tex]\frac{0.525}{1}[/tex]

Step-by-step explanation:

The solution to the fraction in simplest form is 21/40

How to calculate the solution to the fraction?

The fraction is given as

3/4 × 7/10

The next step is to multiply both fractions

= 3×7/4×10

= 21/40

The result gotten from the multiplication of both fractions cannot be broken down into simplest forms. Therefore the answer is 21/40

Read more on fraction here

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PLEASE HELP!!
What is the range of y=x+3^2?
A: all real numbers
B:{3^2}
C: all real numbers except 9.
D:{1,3,9}

Answers

Answer:

A

Step-by-step explanation:

What number could be a common denominator for these two fractions?
3/10 and 1/5

Answers

Answer:

5 could be the common denominator

Step-by-step explanation:

10
The common denominator is 10

Ight Ight please answer please please!!

Answers

Answer:

y=x^2+1 is the answer i believe!

Step-by-step explanation:

this is because it is a parabola (quadratic) = not a line!

hope this helps!

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