Katie has a savings account that contains $230. She decides to deposit $5 each month from her monthly earnings for babysitting after school. Write an expression to find how much money Katie will have in her savings account after x months. Let x represent the number of months.

Answers

Answer 1

Given:

Initial savings in Katie's account = $230

Additional savings = $5 per month

To find:

The expression that represents the money Katie will have in her savings account after x months.

Solution:

Let x be the number of months.

Additional savings for 1 month = $5

Additional savings for x months = $5x

Now,

Total savings = Initial saving + additional savings for x months.

[tex]\text{Total savings}=230+5x[/tex]

Therefore, the required expression is [tex]230+5x[/tex].


Related Questions

PLEASE HELP!! Determine whether the triangles are similar. If similar state how (AA~,SSS~, or SAS~), and write a similarity statement

Answers

Answer:

Yes they are similar because of SAS similarity

Step-by-step explanation:

the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.

ΔTSR ~ ΔFEG by the SAS Similarity Theorem

What is the SAS Similarity Theorem?

SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.

In the image given, the two triangles have:

Two pairs of proportional sides - TS/FG = TR/FE = 3.A pair of congruent included angles - ∠T ≅ ∠F.

This means they are similar by the SAS Similarity Theorem.

Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.

Learn more about SAS Similarity Theorem on:

https://brainly.com/question/12960403

What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)

Answers

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

A(-1, 4) is the original pointA'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Giving brainliest to best answer

Answers

Plsss im becoming a expert ok peepeepoopoo

Answer:

Questions??

Step-by-step explanation:

Will you mark me as brainlist?

What is y + 5 = 7(x– 8) written in standard form?
Choose 1 answer:
A) x-7y=-61 B)-7x+y=-61 C) x+7y=-61
D) 7x + y = -61

Answers

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.

Answers

Answer:

There is no picture

Step-by-step explanation:

Answer:

This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.

Slope -48, 9 ,48 ?

y-intercept 432, C, 6, 9?

(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)

TABLE-------

HOURS, H / CUPS, C

0 / 432

3 / 288

6 / 144

9 / 0​

Step-by-step explanation:

Here is the table

Let f(x) = 3 x 2+1, find f(2)

Answers

answer: 13

explanation: you plug in f(2)
3(2)2+1
(6)2+1
12+1
13

help plsss im begging

Answers

Answer:

The answer is A, $330

Step-by-step explanation:

Answer:

330$

Step-by-step explanation:

165-123.75=41.25

41.25+41.25=82.50

247.5+82.5=330$

Hope this helps

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?

Answers

Answer:

starting amount in his savings account

Step-by-step explanation:

find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interally

Answers

Answer:

Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]

Step-by-step explanation:

Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2

Given:

Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2

ToFind:

Coordinate of 0 (zero)

Solution:

ATQ,

[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])

As we know that,

[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]

[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]

[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]

[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]

Similarly,

[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]

[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]

[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]

Hence,

Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]

please help me 30 minutes more please please

Answers

Answer:

a. 5 . 2/ -1 + -8

b. 5+ (-1) multiply ( 4 -8)

c. 15 -1^3

Step-by-step explanation:

What is NOT a way to write 52 + 80? 50 + 2 + 80 (50 + 80) + 2 50 + 80 + 2 + 8 50 + 2 + 80 + 0

Answers

Answer: 52-80

Step-by-step explanation:

Answer:

52-80

Step-by-step explanation:

Can someone help me plz?!?!? The real answer too

Answers

Use Cymath to find your answer

Two hikers are 77 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 3.3 mph faster than the other.

The speed of the slow hiker is_____ mph, and the speed of the fast hiker is______ mph.

Answers

Answer:The rate of the slower hiker is 2.2 mph and the rate of the faster hiker is 5.5 mph

Explanation:

One hiker walks 3.3 mph faster than the other.

Suppose, the speed of the slower hiker is  mph.

So, the speed of the faster hiker will be:  

Both hikers are walking toward each other and meet in 10 hours.

We know that,  

So, the distance walked by the slower hiker in 10 hours  miles and the distance walked by the faster hiker in 10 hours

miles.

Given that, they were 77 miles apart in the beginning. So the equation will be

An item had an original price of $5.00. It had a percent markup of 45%. What was the value of the markup?

Answers

Answer:

markup price = $2.25

Step-by-step explanation:

markup = 45% of $5

markup = 45/100 x 5

markup = $2.25

selling price = $5 + $2.25

selling price = $ 7.25

Answer:

$2.25

Step-by-step explanation:

edgems 2020-2021

If f(x) = 3х + 10, find f(4)
A
f(4) = 17
f(4) = 22
с
22
f(4) = 17

Answers

the second one is the answer: f(4) = 22

Find the slope of the line through each pair of points.
(2, 11), (-8, 13)

Answers

Answer:

m = -1/5

Step-by-step explanation:

Slope is - 1/5

The answer is M=-1/10

What is the equation of the line that passes through the points (2,6) and (4, 10)?

Answers

Answer:

y=2x+2

Step-by-step explanation:

took a test and got it right

PLEASE HELP MEEE THIS IS DUE TODAY

Answers

OMG I HAD THAT LAST YEAR LET ME LOOK FOR IT

An altitude ___________ lies outside a triangle. (Please explain)
A. Always
B. Sometimes
C. Never

Answers

Answer:

B) Sometimes

Step-by-step explanation:

Will give brainliest :)

Answers

Answer:

The answer is B because its the same btw i had the same question and got a 100 on the test :)

Step-by-step explanation:

find the slope of the following 2 points (2,-5), (9,3)

Answers

Answer:

8/7

Step-by-step explanation:

(2,-5) (9,3)

3-(-5)=8 because you apply your keep change change

9-2=  7

so 8/7

What is an equation in point-slope form of the line that passes through (–3, –1) and has a slope of 2?

Answers

Answer:

y + 1 = 2(x + 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 2

Point (-3, -1)

Step 2: Write Function

Substitute variables into general form.

y + 1 = 2(x + 3)

15 points and BRAINLIEST Alyssa invested $500 into an account. The value of the account after t years can be found using the function r(t) = 500(1.068). What is the percent annual rate of change
in the value of the account?

Answers

Answer:

annual rate: r = 0.068

Step-by-step explanation:

The formula is r(t) = P(1+r)^t

Since the time is already in years we just have to solve for the rate

1 + r = 1.068

r = 0.068

The rate of change in the value of account is 0.068

What is rate of change?

'Rate of change is used to mathematically describe the percentage change in value over a defined period of time.'

According to the given problem,

Annual rate:

r = 0.068

The formula is r(t) = [tex]P( 1 + r )^{t}[/tex]

Therefore, solving for the rate

⇒ 1 + r = 1.068

⇒ r = 0.068

Learn more about rate of change here: https://brainly.com/question/14418346

#SPJ2

All of the following are equvalent except
O (4)(y)
O4+y
O4-y
O4y

Answers

4y.......is the correct answer

i need serious help cause i didnt pay attention at all in class

Answers

Answer:-3<y<2

The answer should be D

For what value of k will the points (3,5) and (9,k) represent a proportional relationship?

Answers

Answer:

k = 15

Step-by-step explanation:

For a proportional relationship to exist then for both points

k = [tex]\frac{y}{x}[/tex] ← k is the constant of proportion, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )

3k = 45 ( divide both sides by 3 )

k = 15

Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?

Answers

Answer:

Héctor salió de su casa con 12 euros.

Step-by-step explanation:

Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:

[tex] C = \frac{1}{3}x [/tex]    (1)

Cuando compró una bolsa de palomitas con la cuarta parte:

[tex] P = \frac{1}{4}x [/tex]    (2)                                  

Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:

[tex] x - C - P = 5 [/tex]

[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]

[tex] x = 12 [/tex]

Por lo tanto, Héctor salió de su casa con 12 euros.  

Espero que te sea de utilidad!    

NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is the measure of angle D?

Answers

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

which equation is represented by this graph?
A. y = 2/3x - 2
B. y = 2/3x + 3
C. y = 3/2x - 2
D. y = 3/2x + 3

Answers

3/2x-2

C. it should be this one

9514 1404 393

Answer:

  A.  y = 2/3x - 2

Step-by-step explanation:

The line intersects the y-axis at -2, so eliminates choices B and D, which have y-intercepts of +3.

The line has a rise of 2 grid squares for a run of 3 grid squares, so has a slope of ...

  m = rise/run = 2/3 . . . . . eliminates choice C

The appropriate choice is the one with a slope of 2/3 and a y-intercept of -2:

  A.  y = 2/3x - 2

USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)

Answers

Answer:

what are we supposed to answer???

Step-by-step explanation:

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