Toniqua opens a savings account and deposits $43 in the account. Each week, she deposits $16 to the account.
Which equation gives the amount of money in Toniqua's bank account, y, after x weeks?

A. y = 16x
B. y = 43x

C. y = 16 + 43x



D. y = 43 + 16x
Please hurry!!

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Because of the fact that she opened a savings account and deposited $43 you are going to add that to 16x. Why? Because x represents the number of weeks she deposits $16 in her savings account. The y represents the money in her bank account, which is what we are trying to find.

I hope I've helped! Please leave a Thanks and Vote/Rate.

Answer 2
Final answer:

The correct equation representing the amount of money in Toniqua's bank account after x weeks is y = 43 + 16x. It combines the initial deposit of $43 with the $16 added each week multiplied by the number of weeks.

Explanation:

The question asks for an equation that represents the amount of money in Toniqua's bank account, y, after x weeks. Considering that Toniqua starts with a deposit of $43 and then adds $16 each week, the total amount of money after x weeks would be the initial deposit plus the weekly deposit amount times the number of weeks. Therefore, the correct equation would be:

y = 43 + 16x

The initial deposit is a one-time amount, so it does not multiply by the number of weeks, hence the 43 is not multiplied by x. However, the weekly deposit of $16 does multiply by the number of weeks, which gives us the 16x term in the linear equation.


Related Questions

The area of a kite ABCD is 900cm2 and one diagonal is 25cm long. Find the length of the other diagonal. Please answer!!!​

Answers

Answer:

72 cm

Step-by-step explanation:

The area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here A = 900 and d₁ = 25, thus

[tex]\frac{1}{2}[/tex] × 25 × d₂ = 900 ( multiply both sides by 2 )

25d₂ = 1800 ( divide both sides by 25 )

d₂ = 72 cm


Isaiah creates 5 music playlists for a party. Each playlist has 10 songs. How many songs did Isaiah include in all of
his playlists?

Answers

Answer:

Isaiah included 50 songs in all of

his playlists.

Step-by-step explanation:

Each playlist has 10 songs. So if you have 2 playlists then you have 10 songs for the first playlist and 10 songs for other playlist.

In this question there are 5 playlists, so 10 + 10 + 10 + 10 + 10 =50 songs.

In mathematics you can multiply to get the answer quickly:

5 * 10 = 50

That is a lot faster and you still get the same result!

what is the area of the figure at the right? explain how you found your answer.
ANSWER ASAP PLZ
(Ready book grade six page 253 question 1)

Answers

Answer:

30 ft

Step-by-step explanation:

Answer:

40ft.

Step-by-step explanation:

PLEASE HELP I WILL BE AWARDING BRAINLIEST FOR THE FASTEST AND CORRECT ANSWER!! Pls help

Answers

Answer:

The answer is C

Explanation:

The top number represents the number of people that are in 2 or more sports

The bottom represents how many students total throughout the school

4. If f(x) = 4x - 9, what is the equation for f1(x)?
ºf-'(x) == -9
X+9
© f*(x) = **
© F"(x) = + 9
f"(x) = x -9
0

Answers

Answer:

F1(x) = 4x-9 Thats the answer

Find the sum of the series

Answers

Answer:

ink

Step-by-step explanation:

none

The equation ___ has no solution.
A. 13y+2-2y=10y+3-y
B. 9(3y+7)-2=3(-9y+9)
C. 32.1y +3.1+2.4y-8.2=34.5y-5.1
D. 5(2.2y+3.4_=5(y-2)+6y

Answers

Answer:

c) 32.1y +3.1+2.4y-8.2=34.5y-5.1


A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is less than 6
Event B = the second digit is less than 6
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

A)1/4
B)3/7
C)4/9
D)1/2
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 35 POINTS!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 1/2

Step-by-step explanation:

The area of a square can be found using the equation A = s, where A is the area and s is the measure of one side of the square
Match the equation for how to solve for the side length of a square to its description.
A square has an area of 60 in?
8=V602 in.
s=760 in.
S = 602 in
S = 60 in
Plz help

Answers

Answer:

7880

Step-by-step explanation:

If A is S then S is A so using Trin's method...you can find 18x*760+y

A regular octagon has a perimeter of 48 cm. What is the length of each side?

Answers

Answer:

Each side of the octagon a length of 6 cm

Step-by-step explanation:

Divide the perimeter by the amount of sides the shape has.

48 ÷ 8 = 6

6 cm because 48 cm divided by 8 equals 6 and I got 8 from the octagon

If a math test has questions on spelling, the test does not

have this type of validity.

Answers

Answer:

True

Step-by-step explanation:

It's a math test so it should be math questions not spelling.

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.

[Not drawn to scale]


120 square centimeters
180 square centimeters
220 square centimeters
270 square cemtimeters

Answers

Answer:

220 square centimeters  Option c.

Step-by-step explanation:

There are 6 faces of a rectangular prism, so to find the surface area of the prism, add the area of each faces.

Surface Area = 2(lw + lh + wh)

where, l = Length, w = Width and h = Height of the rectangular prism.

According to the given dimensions

Length = 10 cm

Width = 4 cm

Height = 5 cm

Therefore, the surface area of the given rectangular prism will be,

S.A. = 2((10)(4) + (10)(5) + (5)(4))

       = 2(40 + 50 + 20)

       = 2 (110)

      = 220 cm²

Surface area of the rectangular prism will be 220 cm².

We have been given that a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm. We are asked to find the surface area of the prism.

We will use surface area of rectangular prism to solve our given problem.

[tex]A=2(lw+wh+hl)[/tex], where,

l = Length,

w = Width,

h = Height.

[tex]A=2(10\text{ cm}\cdot 4\text{ cm}+4\text{ cm}\cdot 5\text{ cm}+5\text{ cm}\cdot 10\text{ cm})[/tex]

[tex]A=2(40\text{ cm}^2+20\text{ cm}^2+50\text{ cm}^2)[/tex]

[tex]A=2(110\text{ cm}^2)[/tex]

[tex]A=220\text{ cm}^2[/tex]

Therefore, the surface area of the given prism would be [tex]220\text{ cm}^2[/tex] and option C is the correct choice.

Find the area of the triangle with a = 3 feet, b = 4 feet, and c = 6 feet. Round to the nearest tenth.

Answers

Answer:

12 feet squared.

Step-by-step explanation:

The formula is (A*B)/2. (Remember, multiply first, then divide.)

A circle has a radius of 18 and a center at (10,-9). Find the equation of the circle.

Answers

Answer:

(x-10)²+(y+9)²= 324.

Step-by-step explanation:

For this question, you will need to substitute these values into the equation of a circle:

(x-h)²+(y-k)²= r²

'h and k' represent the center points, and 'r' represents the radius.

This will result in:

(x-10)²+(y+9)²=324.

Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each.
Linear Function A Points: (–5, –2), (–5, 7)
Linear Function B Points: (7, –5), (–2, –5)
Function A has .
The equation of line A is .
Function B has .
The equation of line B is .

Answers

here is the answers

enjoy

Given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:

Function A has an undefined slope: no slope

Equation for line A would be: x = -5

Function B has a slope value of: 0.

Equation for line B is: y = -5

Recall:

Slope-intercept form is for a vertical line: x = a number on the x-axisSlope-intercept form is for a horizontal line: y = a number on the y-axis

Thus:

Linear Function A with the points (–5, –2), (–5, 7):

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-2)}{-5 -(-5)} \\\\[/tex]

[tex]m = \frac{9}{0}[/tex] (can't divide. Undefined)

Function A therefore has no slope (undefined).

A line with no slope is a vertical line.

The equation for function A will therefore be written as: x = -5

-5 is where the vertical line intersects the x-axis.

Linear Function B with the points (7, –5), (–2, –5):

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-5)}{-2 - 7} \\\\[/tex]

[tex]m = \frac{0}{-9} = 0[/tex]

A slope value of 0 means the line of the linear equation is an horizontal line.

The equation for function A will be written as: y = -5

-5 is where the horizontal line intersects the y-axis.

In summary, given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:

Function A has an undefined slope: no slope

Equation for line A would be: x = -5

Function B has a slope value of: 0.

Equation for line B is: y = -5

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evaluate the expression for f=6
15+f

Answers

Answer:

21

Step-by-step explanation:

15+f

Let f = 6

15+6 = 21

Write the equation of the line with:
Slope = 1/3 and a point on the line is (6, 8)

Answers

Answer:

1/3 times 6.8

Step-by-step explanation:

Answer:

y= 1/3x + 6

Step-by-step explanation:

Find the inverse of the function.

y=5x-10

Answers

Answer:

The inverse of the function y = 5x - 10 would be:

5x - 10 = y

or

5x = y + 10

or

x = (1/5)y + 2

Hope this helps!

:)

Final answer:

The inverse of the function y=5x-10 is given by the formula f^-1(x) = (x + 10)/5. This is found by switching x and f(x) in the original equation, then solving for the new function.

Explanation:

The problem asked us to find the inverse of the function y=5x-10. Finding the inverse of a function involves reversing the variables and then solving for the new y variable. Here are the steps for this:

Replace y with f(x), giving us the function f(x) = 5x - 10.Switch x and f(x) to find the inverse. This gives us x = 5f-1(x) - 10.Solve for f-1(x). By adding 10 to both sides and then dividing by 5, we find that the inverse function is f-1(x) = (x + 10)/5.

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Aidan has $65 in his bank account. His brother Michael also has a bank account. They want to calculate the amount of money in both accounts combined. What variable is needed to calculate their combined total?
A.
m, the amount of money in Michael's bank account
B.
d, the difference between the amounts in Aidan's and Michael's account
C.
l, the amount of money in Michael's account last month
D.
a, the amount of money in Aidan's bank account

Answers

Answer:

the answer was A m the amount of money in Michael's account

Step-by-step explanation:

Answer: a, the amount of money in Michaels bank account

Step-by-step explanation:

Solve for x 5(x + 1)= 4x +7

Answers

Answer:

x = 2

Step-by-step explanation:

5(x + 1) = 4x + 7

5x + 5 = 4x + 7

x + 5 = 7

x = 2

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

5(x+1)=4x+7

Step 1: Simplify both sides of the equation.

5(x+1)=4x+7

(5)(x)+(5)(1)=4x+7(Distribute)

5x+5=4x+7

Step 2: Subtract 4x from both sides.

5x+5−4x=4x+7−4x

x+5=7

Step 3: Subtract 5 from both sides.

x+5−5=7−5

x=2

Samuel has a hamster cage that is a rectangular prism. It is 20 inches

long, 12 inches deep, and 10 inches tall. What is the volume, in cubic

inches, of Samuel's hamster cage?

2,400 1/8 cubic inches

2,521 1/2 cubic inches

5791 1/9 cubic inches

1,158 1/4 cubic inches

Answers

Answer:

well im not sure but that's what i got

Step-by-step explanation:

(20)(12)(10)=2400

2400/4= 800

The volume of the given rectangular prism is 2400 cubic inches.

Given that, a rectangular prism dimensions are length = 20 inches, width = 12 inches and height = 10 inches.

What is a rectangular prism?

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

Volume of a rectangular prism = Area of a base × Height.

Here, Area of a base = length × width

= 20 × 12

= 240 square inches

So, volume = 240 × 10

= 2400 cubic inches

Therefore, the volume of the given rectangular prism is 2400 cubic inches.

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Evaluate the following expression. You should do this problem without a calculator. log6 6

A)0
B)1
C)12
D)6

Answers

Answer:

B

Step-by-step explanation:

To what power do you have to raise 6 to get 6?

As in: 6^? = 6

6^1 = 6, so the answer is 1

hope this helps :)

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?
A) positive/negative 70
B) 70
C) positive/negative 80
D) 80

Answers

The correct answer is:

The possible value for the 6th term is 40. Thus, the answer is B) 70.

To find the common ratio (r) of the geometric sequence, divide the 7th term by the 5th term:

[tex]\[ r = \frac{40}{160} = \frac{1}{4} \][/tex]

Now, we can find the 6th term (T6) using the common ratio and the 5th term:

[tex]\[ T6 = T5 \times r = 160 \times \frac{1}{4} = 40 \][/tex]

So, the 6th term could be 40. Therefore, the answer is:

B) 70

Which of the following is the equation of a line in slope-intercept form for a
line with slope = 4 and y-intercept at (0, 2)?
O A. y = 2x+4
B. y = 4x-2
c. y = 4x + 2
D. x = -2x-4

Answers

Answer:

C features a slope of +4 and a y-intercept of +2

Step-by-step explanation:

Only the middle two answers feature a slope of +4, so eliminate answers A and D.  Answer C features a slope of +4 and a y-intercept of +2

Final answer:

The equation of a line in slope-intercept form for a line with slope 4 and y-intercept at (0, 2) is C. y = 4x + 2.

Explanation:

In the slope-intercept form of a linear equation, y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. If we substitute the given values into this equation, with m = 4 (the slope) and b = 2 (the y-coordinate of the y-intercept), we get y = 4x + 2. So, the correct answer is C. y = 4x + 2.

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Please help thank you

Answers

Answer:

5,-3

Step-by-step explanation:

Answer:

5,-3 $&$&$,$,$,,$$,$,,$,$,$,$,

Summer’s here and the ice cream truck is in town. The truck offers 3 flavors of ice cream: vanilla, chocolate, and strawberry. The topping choices are walnuts, sprinkles, and chocolate fudge and cookie crumbs. Zoe only has enough money for one scoop with one topping. How many choices does she have?

Answers

Answer:

12 choices

Step-by-step explanation:

There are 3 possible flavors Zoe can choose from: vanilla, chocolate, and strawberry.

Meanwhile, there are 4 possible toppings Zoe can choose from: walnuts, sprinkles, and chocolate fudge and cookie crumbs.

Each flavor can go with each topping, so we just multiply these two numbers together:

3 * 4 = 12

Zoe has 12 choices.

Dolce the equation below for x 1/2(x+256)=180? I need help

Answers

Answer:

x=104

Step-by-step explanation:

x+256=360

x=360-256

x=104

Answer:

Step-by-step explanation:

104

Consider Carmen’s new set of plans. Parallel lines k and l are crossed by transversal t. Line m crosses lines t, k, and l. The angles formed by lines k, t, and m, clockwise from top left are 2, 1, blank, blank, blank (6 x + 5) degrees; formed by lines l and t are blank, (7x minus 4) degrees, blank, blank; formed by lines l and m are 48 degrees, blank, blank, blank. Examine the lines that are cut by transversals to determine the measure of angle 1. What is the measure of angle 1? m <1= ° Why?

Answers

Based on the vertical angles theorem, the measure of angle 1 is: 48°.

What are Vertical Angles

Vertical angles are always directly opposite each other and are formed when two straight lines crosses each other.

In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).

Therefore:

m∠1 = 48° (vertical angles)

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Answer:

The Answer it's 48 And It corresponds to the 48-degree anglee.

Step-by-step explanation:

On EDGE 2022!

A sample of gas has a volume of 100.0 L at 135°C. Assuming
the pressure remains constant, what is the volume of the gas if
its temperature decreases to 72.0°C?

Answers

Answer:

84.6

Step-by-step explanation:

135c + 273.15 = 408 K

72C + 273.15 = 345 K

100 L over 408 K = V2 over 345 K

V2= 84.6

The volume of the gas when temperature decreases to 72.0 °C is 84.6 L

What is volume?

Volume is a physical quantity that measures the amount of three-dimensional space occupied by matter (solid, liquid, or gas).

Volume is defined as the three-dimensional space occupied by matter or enclosed by a surface. The SI unit of volume is the cubic meter (m³),

Given that, a sample of gas has a volume of 100.0 L at 135 °C, the pressure remains constant, we need to find that what is the volume of the gas when temperature decreases to 72.0 °C

Converting the temperature into Kelvins =,

135C + 273.15 = 408 K

72C + 273.15 = 345 K

100 L / 408 K = V2 / 345 K

V2 = 84.6

Hence, the volume of the gas when temperature decreases to 72.0 °C is 84.6 L

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Explain how to complete the square for an expression of the form x2+bx
.

Answers

Add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.

Important information:

The given expression is [tex]x^2+bx[/tex].Completing the square:

We know that,

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex](x+y)^2=a^2+(2y)a+\left(\dfrac{2y}{2}\right)^2[/tex]

It means, we need to add the square of half of the coefficient of x in [tex]x^2+bx[/tex] to make it perfect square, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex].

[tex]x^2+bx+\left(\dfrac{b}{2}\right)^2=\left(x+\dfrac{b}{2}\right)^2[/tex]

Therefore, add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.

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Final answer:

To complete the square for an expression [tex]x^2+bx[/tex] you divide the coefficient of 'x' by 2, square it, and add and subtract that within the square, which can then be factored to a perfect square trinomial.

Explanation:

Completing the square for an expression of the form [tex]x^2+bx[/tex] involves a process to rewrite the quadratic expression into a form that can be factored as a perfect square trinomial. Here are the steps to do so:

Divide the coefficient of x (which is 'b' in your equation) by 2 and square the result. This will be the value added and subtracted within the square to complete it. Add and subtract the calculated number from step 1 inside the parenthesis to maintain the balance of the equation. Simplify the equation, factoring out the perfect square trinomial formed.

In other words, x^2+bx can be rewritten as [tex][x+(b/2)]^2 - (b/2)^2[/tex]. Here, [tex][x+(b/2)]^2[/tex] is the perfect square trinomial.

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