Sam started with savings of $2,500 and adds $40 to his savings each week. Marshall started with $7,300 in savings and spends $60 of his savings each week. After how many weeks will both Sam and Marshall have the same amount of savings in their accounts?

Answers

Answer 1

The number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks

Given:

Amount with Sam = $2,500

Additional savings each week = $40

Amount with Marshal = $7,300

Amount spent each week = $60

let

x = number of weeks

Sam equation:

2500 + 40x

Marshall's equation:

7300 - 60x

Equate both

2500 + 40x = 7300 - 60x

collect like terms

2500 - 7300 = - 60x - 40x

-4800 = -100x

divide both sides by - 100

x = -4800 / -100

x = 48 weeks

Therefore, the number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks

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Related Questions

find the coordinates of the point 7/10 of the way from A to B

A=(-4,-7)
B=(12,5)p

Answers

Answer:

a=(-3,-6) and b=(12,4)

from -3 to 12 is 15 units

7/10 * 15=10.5

add 10.5 to -3 to get 7.5 for the x-coordinate

from -6 to 4 is 10 units

7/10 * 10=7

add 7 to -6 to get 1 for the y-coordinate

the point 7/10 of the way from a to b is (7.5,1) ANSWER

graph these points to check your answer (the point (7.5,1) is on the line segment AB))

also, the distance from a to b is 18.0277

7/10 of this is 12.62

the distance from (-3,-6) to (7.5,1) is also 12.62

Step-by-step explanation:

A plant measures 10 cm and increases in height by .02 percent each day, upon conclusion it measures 11.04 cm. What is a reasonable domain to plot the growth function?

Answers

Answer:

the correct answer should be: the rate of change is 1 cm per 2 weeks, or 1/2.

Step-by-step explanation:

I found a graph with the same problem, so I guess this is the graph to be based on. To find the rate, just determine the slope between any two points along the line. Suppose these points are: (30,10) and (50,20).

Slope = (20 - 10)/(50 - 30) = 1/2

Jeri received thirty more votes than Max. Lee
received forty-five fewer votes than Max.

(a) Define variable expressions for the votes received
by Jeri, Max, and Lee.

Answers

Answer:

J = M + 30

M = L - 45

L = M + 45

Step-by-step explanation:

given f ( x ) = x 3 − 6 x 2 − 11 x + 6 f(x)=x3−6x2−11x+6 find f(2)​

Answers

Answer:

Step-by-step explanation:

f

(

x

)

=

x

3

6

x

2

+

11

x

6

Reemplace  

f

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y

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x

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x

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Para hallar las raíces de la ecuación, remplazar  

y

por  

0

y resolver.

0

=

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6

x

2

+

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x

6

Reescriba la ecuación como  

x

3

6

x

2

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x

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0

.

x

3

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x

2

+

11

x

6

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0

Factorizar el lado izquierdo de la ecuación.

Toca para ver más pasos...

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x

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x

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(

x

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=

0

Establezca la  

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y resuelva para  

x

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Toca para ver más pasos...

x

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f

(

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y

.

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=

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6

x

2

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6

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y resolver.

0

=

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x

2

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Reescriba la ecuación como  

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2

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x

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Toca para ver más pasos...

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Toca para ver más pasos...

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2

How do I show my work for solving the radius of a circle if the area is 78.5 cm^2
(I already know the answer is 5 cm)​

Answers

9514 1404 393

Answer:

  radius = 5 cm

Step-by-step explanation:

The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.

__

If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:

  A = πr²

  78.5 = 3.14×r²

Dividing both sides by 3.14 gives the square of the radius:

  78.4/3.14 = r² = 25

Taking the positive square root gives the radius:

  r = √25 = 5

The area is in square centimeters, so the radius is in centimeters:

  radius = 5 cm

Question Help
Writing lan's car can go 245 miles on 7 gallons of gas. During a drive last weekend, lan used
4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you
were given the distance lan drove last weekend instead of how much gas he used.

He drove _miles.

Answers

He drove 140 miles you take 245 divide by 7 then times by 4

HELP 7= -10s-3 solve for s!

Answers

7= -10s-3

7+3 = -10s

10 = -10s

-10s = 10

s = 10/-10

s = -1

Morwenna rents a truck she pays $20 plus .50 per mile. Let t represent the relationship between the factor. Write an equation that represent the situation.!!!!!

Answers

Answer:

50x+20=ur mom

Step-by-step explanation:

Answer:

t = 20 + .50m

m = number of miles travelled

t = total cost

Step-by-step explanation:

t represents the total cost and m represents the number of miles travelled. Since it costs .50 per mile, you would do .50m so that you could calculate the cost based on the number of miles and since the truck at first cost 20 dollars, you would add that to the equation to. This gives you t = 20 + .50m.

Write an equation of the line that passes through the given points.
(-1,4) and (4, -1)
The equation is . (Type your answer in slope-intercept form.)

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-5}{4+1}\implies \cfrac{-5}{5}\implies -1[/tex]

[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft[/tex]

What is the distance between points A(2, 9) and B(−2, 6)?

Answers

Answer: 5

Step-by-step explanation:

Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
i've tried a it didn't work please help

Answers

Answer:

its D

Step-by-step explanation:

Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.

Answers

Answer:

6.75>6.732

Step-by-step explanation:

We are given that

6.75 and 6.732

We have to compare two given decimal numbers.

First we convert like decimal number

In 6.75 there are two digits after decimal point.

In 6.732 , there are three digits after decimal point

Therefore, we put zero in 6.75 to convert like decimal number

Now, we get

6.750

Unit place of both decimal numbers are same and tenth place of both decimal number are same.

Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3

5 >3

Therefore, 6.750 is greater than 6.732

6.75>6.732

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!

Add.

18512+81017+23712+28717

Answers

Answer: Here you go buddy, the answer is 151958.

Happy to help!

Step-by-step explanation:

Answer:

18512 + 81017 + 23712 + 28717 = 151958

Step-by-step explanation:

I used a calculator to help

PLEASE HELP I'LL GIVE BRAINLIEST!!!! AND I'M GIVING 100 POINTS!!!
When Max was a puppy, he weighed 5 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.

How much weight did Max gain between the time he was a puppy and his 1-year check-up?

Enter your answer as a decimal or simplified mixed number in the box.

Answers

Answer:

10.3 pounds

Step-by-step explanation:

Answer:

10.3 pounds

Step-by-step explanation:

15.8-5 1/2 is 10.3

Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.

Answers

Assuming the function is

f(x) = x^4 + 3x^3-28x^2

Factorising, we get

f(x) = x^2(x+7)(x-4)

Therefore, there is a double root at x = 0 and singular roots at x = -7 and 4

double roots tend to bounce, kind of like the standard quadratic y = x^2

singular roots tend to cross, kind of like a straight line on a graph, y = mx + b

Therefore, it bounces at x = 0, and crosses at x = -7 and 4

In general, a root raised to an even power bounces, and a root raised to an odd power crosses.

pls help i need it done in 40 mins

Answers

a)23a+12b
b)13a-10b
c)46
d)172
e)60
f)30
g)10200
h)0.6
I)1134
j)148.72
k)86.69
l)7.2
m)x=5
n)x=2.5
l)17
o)19
p)36
q)650
r)80
s)13

Plz help Ive hurt my brain trying to do this lol.will mark brainliest.

Answers

Answer: Graph A & B

Step-by-step explanation:

Both A & B have x values that stretch from 1-6. The others are different

hrome
e: Stella Hamilton
Ratio Practice 11/8
Name:
Solve Each Problem
1) At summer camp the ratio of boys to girls was 8: 5. If there were 32 boys, how many girls were
there?
21. Determine if the values in the table are

Answers

Answer:

20 girls.

Step-by-step explanation:

If 32 divided by 8 is 4, then 4x8= 32.

We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.

First to type something random in the answer box gets 100 points!

Answers

Answer: am not the first but ty :D

Step-by-step explanation: I appreciated it!

What expressions cannot be factored?

Answers

Answer:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .

Step-by-step explanation:

Dan has three dogs. He feeds them these amounts of food each day. 1 1/2 cups, 2 1/3 cups, and 3 1/2 cups. Ben has two dogs. He feed them 3 1/4 cups and 4 1/2 cups of dog food per day. Who uses more dog food? How much more?

Answers

Answer:

ben

5/12

Step-by-step explanation:

1 1/2+2 1/3+3 1/4 = 22/3 -dan

3 1/4+4 1/2 = 31/4 -ben

ben - dan

31/4-22/3

=5/12

1/7 to the 2nd power

Answers

Answer:

1/49

Step-by-step explanation:

1/7 to the 2nd power = (1/7)^2 = 1/7 • 1/7 = 1/49

3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?

Answers

Answer:

85 students and 70 adults attended the game.

How many students and adults attended the game?

Step-by-step explanation:

Problema Solution

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

Answer provided by our tutors

let

s = the number of student tickets sold

a = the number of adult tickets sold

there were 155 people at the basketball game

s + a = 155

the total money received for admission was $492.50

2.50s + 4a = 492.50

by solving the system of equations

s + a = 155

2.50s + 4a = 492.50

we find

s = 85 students

a = 70 adults

Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5

Answers

5 is the answer ok I'll explain

At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?

Answers

$29,700 on the hours, and $79,200 in commission.

I hope i helped! :)

by using the completing the square method pls with the full procedure by solving it​

Answers

Answer:

[tex]1.10 {x}^{2} - 13x - 3 = 0 \\ product \: = 10 \times - 3 \\ = - 30 \\ sum \: = 13 \\ factors \: = ( - 15 \: \: 2) \\ 10 {x}^{2} - 15x + 2x - 3 = 0 \\ 5x(2x - 3) + 1(2x - 3) = 0 \\ (5x + 1)(2x - 3) = 0 \\ either \: 5x + 1 = 0 \\ 5x = - 1 \\ x = - \frac{1}{5} \\ or \: 2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} \\ x = 1.5 \\ 2. {x}^{2} - 2x + 1 = 0 \\ product \: = 1 \\ sum \: = - 2 \\ factors \: ( - 1 \: - 1) \\ {x}^{2} - x - x + 1 = 0 \\ x(x - 1) - 1(x - 1) = 0 \\ (x - 1)(x - 1) = 0[/tex]

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

Complete the chart!! :)

Answers

Answer:

1 foot is 12 inches so 6 feet would be 72 inches

Step-by-step explanation:

12x6=72

What are the like terms in this equation?
8n+5b-2n+16=50

Answers

Answer:

8n and -2n

Step-by-step explanation:

Write the following expression as a constant, a single trigonometric function, or a power of a trigonometric function.
sec x cos x

Answers

Answer:

1.

Step-by-step explanation:

sec x cos x

= 1/cos x  * cos x

= cos x / cos x

= 1.

i inserted a picture of the question

Answers

When you have a value to the power of something times that same value to the power of something, you can add the exponents. In this case, 6 + 7 = 13 so the answer is A. 7.1^13. Hope this helps.
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