The table shows the amount of money in your bank account over a period of 5
5
weeks. You plan to keep saving at the same rate until you have $800
$
800
in the account. Which equation could you use to find the number of weeks,
n
, it would take to reach your goal?

Math item stem image
CLEAR CHECK

100·=800
100
·
n
=
800



35·+100=800
35
·
n
+
100
=
800



100·+35=800
100
·
n
+
35
=
800



35·+800=100

The Table Shows The Amount Of Money In Your Bank Account Over A Period Of 55 Weeks. You Plan To Keep

Answers

Answer 1

The linear function that you could use to find the number of weeks it would take to reach your goal is:

35n + 100 = 800.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the table, we have that:

The intercept is the initial balance of 100.The slope is the rate of change of 35.

Hence the balance after n weeks is given by:

B(n) = 100 + 35n.

You will have $800 when B(n) = 800, hence the equation is:

35n + 100 = 800.

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Related Questions

How many hours and minutes is 125 minutes

Answers

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

2 hours is 60mins+60mins which is equal to 120mins and then the extra 5mins

Hilary studied for a total of 2 hours and 5 minutes this week.

If Hilary studied for 25 minutes each day for five days this week, we can calculate the total study time by multiplying the number of minutes studied per day (25) by the number of days (5):

25 minutes/day × 5 days = 125 minutes

To convert this to hours and minutes, we need to divide the total minutes by 60 (since there are 60 minutes in an hour) to get the number of hours and find the remainder as minutes.

125 minutes ÷ 60 = 2 hours and 5 minutes

Therefore, Hilary studied for a total of 2 hours and 5 minutes this week.

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(9-5+X)+ (39+211)

whats the Solution?

Answers

Answer:

254 + x

Step-by-step explanation:

(9-5+X)+ (39+211)

whats the Solution?

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Answer:

254 + x

Step-by-step explanation:

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Hope this helps

:)

The children at Farmfield School are collecting money for charity.

Their target is to collect £360
So far they have collected £57.73

How much more money do they need to reach their target?

Answers

Target = 360
Current = 57.73

Target - current =
360 - 57.73 =
302.27

Answer is £302.27

If the area of a circle is 4(pi), what is
its radius?

Answers

Answer:

radius=2cm

because area =πr²

π2²=4π

hope this helps

please give me brainliest

PLease HELP ASAP!!! READ THE QUESTION CAREFULLY

Answers

Answer:

1/3

Step-by-step explanation:

What type of event is composed of two or more separate events?

Answers

Answer:

A compound event

Step-by-step explanation:

compound event is more complex than a simple event, as it involves the probability of more than one outcome. Another way to view compound events is as a combination of two or more simple events

Can someone try to help?

Answers

Answer:

Step-by-step explanation:

2. Find the coordinate of A(-4, 6) after it has been rotated 90 degrees counterclockwise, reflected over the x-axis, and dilated by a scale factor of 2.

Answers

The new coordinates of A is (-12,8)

What is Dilation ?

To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping.

For any dilation the mapping will be (x,y) → (kx,ky).

Convert the point (x, y) to (-y, x) in order to rotate 90 degrees counter clockwise.

The given point is A(-4 ,6) ,after it has been rotated the new coordinates are A(-6,-4)

After reflecting it over x axis the new coordinated will be (-6,4)

Then dilating it with a scale factor of 2

The new coordinates of A is (-12,8)

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Can someone explain me the answer and how to solve it

Answers

Answer:

The radius is 8.

Step-by-step explanation:

Because OA is a radius and AB is a tangent, Angle A is a right angle. So you can use Pythagorean theorem (shortcut Pythagorean triple)

OA^2 + 15^2 = 17^2

OA^2 + 225 = 289

OA^2 = 64

OA = 8

OA is a radius, the radius = 8

A motorist travels 122 km before his first stop. If he had 10% of his journey to complete at this point, how long was the total ride

Answers

Answer:

233km

Step-by-step explanation:

2. Two painting companies were hired to paint two different buildings. The amount of area
left to paint on both buildings is related to the amount of time that the painters spend
on painting each of them. This relationship is shown in the two graphs below:

a. what are the linear functions modelling the two relationships in the graphs above?

b. which painting company is painting their building at a faster rate? how much faster?

c. which painting company had less area to paint when they began painting their building?

d. how many hours will it take each painting company to completely finish painting their building?

pls help its due today and its 100 points

Answers

#a

#1

(0,2100)(7,2000)

Slope:-

m=2000-2100/7=-100/7

Equation in point slope form

y-2100=-100/7(x)y=-100/7x+2100

Slope=-100/7

#2

(0,1800)(8,1700)

Slope

m=1700-1800/8=-100/8

Y intercept=1800

Equation

y=-100/8+1800

Slope=-100/8

#b

First company is painting faster

-100/7 ÷-100/88/7 times faster

#c

Comapny B

as their y intercept is 1800 which is less than 2100

#d

for #1

-100/7x+2100=0100/7x=2100x=21(7)=147hours

#2

100/8x=1800x=18(8)x=144hours

Axel used the vertical line test on this graph, and decided it is a function because the vertical line only passes through one point, (3, 0).

On a coordinate plane, a circle is centered around (0, 0). A vertical line touches the edge of the circle at (3, 0).

Is Axel’s statement correct?

Answers

Axel’s statement is incorrect.

Explanation:

By viewing this question, I can already tell Axel is incorrect. Because the shape is a circle, it goes around and then meets back at one spot. Therefore, when using the vertical line test, many different points have the same y-value. Because there are multiple outputs for one value, this circle is not a function. Axel’s graph does not pass the vertical line test for every set of points.

Answer: Axel's statement would be incorrect. (If this is for Edgenulty, the answer is C)

Step-by-step explanation: No, because the relation does not pass the vertical line test for every possible input.

a cylindrical pipe is 36 ft long and has a volume of 100ft. find its approximate diameter to the nearest hundredth of a foot

Answers

Answer:

0.940

Step-by-step explanation:

100 = 36 x pi x r^2

now divide both sides by 36pi

r^2 = 0.88419412...

then square root both sides

r = 0.94031597...

HELP PLEASEEEEeeeeee

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (√2)π/(√5) can be written as,

[tex]\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\[/tex]

= 0.6324 × π

= 1.9869 ≈ 2

Hence, The value of the expression (√2)π/(√5) is 2.

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Answer:

It would be D). 2.0 because we know the square root of 2 over the square root of 5 is the square root of 10 over 5. Now, we can plug in pi, giving us the square root of 10 times pi over 5. Giving us 1.98 which can be rounded up to 2.0

45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit**

Answers

Answer:

45 POINTS & BRAINLIST -- PLEASE HELP

Convert the following functions.

A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.

B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit

Step-by-step explanation:

45 POINTS & BRAINLIST -- PLEASE HELP

Convert the following functions.

A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.

B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit

What is the value of x in the parallelogram below

Answers

Answer:

x=7

Step-by-step explanation:

We know that in a parallelogram diagonals bisect each other

Therefore

x=7

Giving Brainlist please help! Calculate the area of the figure.

Answers

Answer:

A. 120 cm²

Step-by-step explanation:

Area of figure :

1/2 x base x height1/2 x 24 x 1012 x 10120 cm²

I need help with this

Answers

Answer:

(a) = 37π/180 radians

(b) = 37°

Step-by-step explanation:

Converting km/h ⇒ m/s :

⇒ 54 km/h x 5/18

⇒ 3 x 5

⇒ 15 m/s

===============================================================

Formula to calculate the angle :

⇒ tanθ = v/r

⇒ tanθ = (15 m/s)/(20 m)

⇒ θ = tan⁻¹ (0.75)

⇒ θ = 37°

=============================================================

Converting to radians :

⇒ Radian measure = Angle measure × π/180°

⇒ Radian measure = 37° × π/180°

⇒ Radian measure = 37π/180 radians

=============================================================

Solutions :

(a) = 37π/180 radians

(b) = 37°

The Wilson family purchased a home for $140,000. The housing market has increased in value by 6.2% every year. Determine an equation that would represent what the house would be valued at in the next six years.

Answers

The price of the house after 6 years is $200,851.5262092119 ( I think I’m not 100% sur)

Which decimal is equivalent to -3 1/8? *20 points*

a. -3.18
b. -3. 125
c. -3. 1205
d. -3.12

Answers

Answer: -3.125

Step-by-step explanation: -1 divided by 8 = .125

An ordered pair that makes a linear equation true is called a?

Answers

Answer:

the solution of the equation.

Step-by-step explanation:

Doctors can use radioactive chemicals to treat some forms of cancer. The half life of a certain chemical is 5 days. A patient receives a treatment of 28 millicuries of the chemical.​ (A millicurie is a unit of ​ radioactivity.) How much of the chemical remains in the patient 10 days​ later?

Answers

Answer:

  7 millicuries

Step-by-step explanation:

A period of 10 days is 2 times the half-life of 5 days.

In the first 5 days, the amount of the chemical decayed by half from 28 millicuries to 14 millicuries. In the next 5 days, it decayed by half again, from 14 millicuries to 7 millicuries.

10 days later, 7 millicuries of the chemical remains.

f(x) = ax³ + 2x² + bx + c. Given that f(0) = f, f(1) = 4 and f(-2) = 8, find the value of a, b and c. ​

Answers

Answer:

a = -1/6

b = 7/6

c = 1

Step-by-step explanation:

[tex]f(x)=ax^3+2x^2+bx+c\\\\f(0)=a(0)^3+2(0)^2+b(0)+c\\\\1=c[/tex]

[tex]f(1)=a(1)^3+2(1)^2+b(1)+1\\\\4=a+2+b+1\\\\4=a+b+3\\\\1=a+b\\\\1-b=a[/tex]

[tex]f(-2)=(1-b)(-2)^3+2(-2)^2+b(-2)+1\\\\8=-8+8b+8-2b+1\\\\8=6b+1\\\\7=6b\\\\\frac{7}{6}=b[/tex]

[tex]1-b=a\\\\1-\frac{7}{6}=a\\ \\-\frac{1}{6}=a[/tex]

So, the true equation would be [tex]f(x)=-\frac{1}{6}x^3+2x^2+\frac{7}{6}x+1[/tex] if you substitute the coefficients and the constant.

What is the equation of the line that passes through the points (-8,-1) and (-4,-4)?

Answers

Answer:

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

Please help!!!!!!!!!

Answers

Answer:

option d -1 is the answer

Answer:

I think C (19) might be wrong though

1/4×___=5
fill in the blank.

Answers

Answer:

20

Step-by-step explanation:

5x4=20 5 is one quarter of 20

Answer:

[tex] \frac{1}{4} \times 20 = 5 \\ [/tex]

Two parallel wires are separated by 0. 06 m, each carrying 3 a of current in the same direction. What is the magnitude of the force per unit length between the wires?

Answers

The magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].

What is the magnitude of the force?

In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.

Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).

The below expression for the force per unit length.

Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.

[tex]\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06[/tex]

Substitute all the values in the formula

[tex]\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m[/tex]

Hence, the magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].

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Directions: Identify the binomial factors of the following trinomials.

1. x2 + 14x + 13

2. x2 + 7x + 12

3. x2 + 8x + 15

4. x2 + 8x + 12

5. x2 + 7x + 10

6. x2 + 5x + 6

7. x2 + 5x + 4

8. x2 + 10x + 21

9. x2 + 10x + 16

10. x2 + 6x + 9

11. x2 + 9x + 20

12. x2 + 9x + 14

13. x2 + 13x + 42

14. x2 + 9x + 18

15. x2 + 17x + 70

(Remember, the factors of the last term that equal the addends of the second term.)

Answers

Answer:

1. x= -1 & x= -13

2. x= -3 & x= -4

3. x= -3 & x= -5

4. x= -6 & x= -2

5. x= -5 & x= -2

8. x= -7 & x= -3

9. x= -8 & x= -2

10. x= -3 & x= -3

11. x= -5 & x= -4

12. x= -2 & x= -2

13. x= -6 & x= -7

14. x= -6 & x= -3

15. x= -10 & x= -7

Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?

Answers

The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

The surface area of the box

To determine the surface area from the net of the box, we simply calculate the area of each shape.

From the given figure, we have the following shapes and dimensions:

Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ftTriangle: Base = 12 ft and Height= 7 ft

The area is then calculated using:

Area = Areas of the rectangle + Area of the triangle

So, we have:

Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7

Evaluate the sum of products

Area = 430.35

Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

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Answer:577.35 square feet

Step-by-step explanation:

‍♀️

Find the value of the trigonometric function 2sin 30 degree/cos 30 degree. Round your answer to four decimal places. 2 sin 30 degree/cos 30 degree=

Answers

Answer:

Step-by-step explanation:

The value of the given trigonometric function is 1.1547.

Trigonometric Ratios

The main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.

These ratios help you find the angles and the sides of a rectangle triangle.

The question asks [tex]\frac{2 *sin(30)}{cos (30}[/tex], for the angle 30° you have sin=1/2 and cos= [tex]\frac{\sqrt{3} }{2}[/tex].

Thus,

[tex]\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547[/tex]

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