Kala and david each opened a savings account today, kala opened her account with a starting amount of $180, and she is going to put in $70 per month. David opened his account with no starting amount, and he is going to put in $100 per month
let x be the number of months after today
(a) for each account, write an expression for the amount of money in the account after x months
(b) write an equation to show when the two accounts have the same amount of money

Answers

Answer 1
Answer:

[tex]Elsa:y_1=70x+180[/tex]

[tex]brian,y_2=100x[/tex]

Step-by-step explanation:

[tex]Rnown\ by\ the\ topic,[/tex]

[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]

[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]

[tex]so,y_1=70x+180[/tex]

[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]

[tex]y_2=100x[/tex]

[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]

[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]

[tex]\$180\ is\ fixed\ value?[/tex]

I hope this helps you

:)


Related Questions

-3(p-4)=-2p+1 what is p

Answers

Answer: p=11

Step-by-step explanation:

-3(p-4) = -2p+1

-3p+12=-2p+1

+2p +2p

-p+12=1

-12 -12

(-1)-p=-11 (-1)

p = 11

Check answer:

-3(11-4)=-2(11)+1

-3(7)=(-22)+1

-21 = -21

need help with this question

Answers

The third one is correct

Because to get that you should use the standard equation for the circle, (x-h)^2+(y-k)^2=r^2
Then, substitute the center (h,k) and radius r

Any doubts

the sum of two numbers is 76. if three times the small number is subtracted from the larger number, the result is 12. find the two numbers

Answers

Answer:

12, 60

Step-by-step explanation:

To solve this question, we can use a system of equations

1) x + y = 76

2) y - 3x = 12

Then, we can use the second equation to isolate y and substitute it into the second equation

y = 3x + 12

x + (3x + 12) = 76

4x + 12 = 76

4x = 64

x = 16, y = 60

Answer:

6

Step-by-step explanation:

based in

Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.

John and Monica completed the same task on different lines in an assembly plant. When John had completed 7/9 of the task, Monica had only completed 5/9 of the task. How much more of the task has John completed than Monica?

Answers

Answer:

2/9ths

Step-by-step explanation:

7/9 - 5/9 = 2/9

Hope this helps <3

A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?

Answers

Answer:

Varies - possibly not enough information

Step-by-step explanation:

How many doses per day?

Do you only need to know the amount of oz. for "today"?

Does this need to be expressed in decimal form?

If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.

Decimal form: 2-2/3 = 8/3 = 2.667 oz.  

A bag of marbles contains 7 blue marbles and 13 red marbles. What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%

Answers

Answer:

65%

Step-by-step explanation:

We need to divide to solve this :)

13/20 = 0.65

Now we multiply :)

0.65 x 100 = 65%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

D. 65%

Step-by-step explanation:

the Number of red marbles is 13

The total number of marbles is 13 + 7 = 20

Then

the percentage of red marbles is :

[tex]\frac{13}{20} \times 100[/tex]

[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]

The length of a rectangle multilayered by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and the width.

Answers

Answer:
W=1 4/5 feet
L= 2 2/5 feet
Have a great day

The required length of the rectangle is 12/5 feet and the width is 9/5 feet.

What is the equation model?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's denote the length of the rectangle as L and the width as W.

From the problem statement, we know that:

3L = 4W (equation 1)

We also know that the perimeter P is given by:

P = 2L + 2W = 8 2/5 feet

Multiplying both sides by 5 to get rid of the fraction, we get:

10L + 10W = 42

Dividing by 2, we get:

5L + 5W = 21 (equation 2)

Now we can use equations 1 and 2 to solve for L and W.

First, we can substitute equation 1 into equation 2 to get an equation in terms of W:

5L + 15L/4 = 21

Multiplying both sides by 4, we get:

20L + 15L = 84

35L = 84

L = 84/35 = 12/5 feet

Now we can substitute the value of L into equation 1 to get the value of W:

3L = 4W

3(12/5) = 4W

W = 9/5 feet

Therefore, the length of the rectangle is 12/5 feet and the width is 9/5 feet.

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Please help again,am very slow of mathematics,
please po!​

Answers

Step-by-step explanation:

a) 7/10

b) 9/10

c) 4/10 = 2/5

d) 9/10

e) 2/10 = 1/5

I hope it helped you

A nonstop train travels between Pearl River and Hoboken. On its trip south, traveling at a constant speed, it makes it from Pearl River to Hoboken in 1 hour and 6 minutes. On its return trip north, the train increases its speed by 10 miles per hour, and takes 42 minutes to reach Pearl River from Hoboken.

What was the train's original speed (on its trip south) in miles per hour?

Answers

Based on the information provided about the return trip, the train's speed on its trip south was 6.36 miles per hour.

What is the distance between Pearl River and Hoboken?Distance = speed x timeDistance = 10 miles per hour x  0.7 hours (42 minutes)Distance = 7 miles

What is the speed on the trip south?Speed = distance / timeSpeed= 7 miles / 1.1 (66 minutes)Speed= 6.36 miles per hour

Learn more about speed in: https://brainly.com/question/6280317

CAN SOMEBODY SOLVE THE EQUATION

Answers

I think it’ll be 1.8(14) (because the number of years from 1998) so 1.8(14) = 25.2

25.2 - 5.7 = 19.5

They will spend 19.5 billion dollars

Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?

Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5

Answers

Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.

1. Use the table to determine

whether 245 pounds,
260 pounds, or 263 pounds

is the most reasonable

estimate for how much more
the ostrich weighs than the flamingo. Explain

HELP

Answers

Take ostrich and convert to an improper fraction. Denominator times whole number plus numerator. Same with flamingo.
507/2 and 91/10 convert to like denominators.
2535/10 and 91/10.
Subtract the two weights.
You get 2444/10.
Swing decimal one position on 2444. to get 244.4 lbs.
245 pounds is the answer since it is closest to 244.4.
253 minus 9 is 244 if you ignore fractions. Do it this way since approximation matches the answer.
You can also eliminate the other answers since the difference will be less than the weight of the ostrich.
Please mark as the best!

Find the surface area of the Prism, will mark BRAINLIEST if correct

Answers

Answer:

2490

Step-by-step explanation:

Individually find the area of each side of the shape then add all values

Which of the following lines are shown in the drawing?
КА
B
С
D
E
F
F.
G H
1
K
L
OT
OG

Answers

Answer:

A, B, D

Step-by-step explanation:

According to the drawing we can see the lines

A) LI, yesB) GJ, yesC) CJ, noD) BE, yesE) FA, no

A community college is planning to expand its library. Forty students were asked
how many times they visited the library during the previous semester. Their
responses are given below. Construct a frequency distribution, letting each class
have a width of 1.
2 4 5 68
24568
3 4 5 7 8
3 5 5 7 9
4 55 79
COLLE
02
1
22222
1
1 2
n
98666
10
10
U
E
D
C
1
L
5
Number of Visits
0
1.
(0,0)

Answers

Here is the constructed frequency distribution table:

Number of visits   Number of students

0 - 1                            5

2 - 3                             9

4 - 5                           11

6 - 7                            5

8 - 9                            8

10 - 11                         2

What is a frequency distrubution?

A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.

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Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years

Answers

The total amount which Todd will have after 4 years is $1,178

The total amount which Alexis will have after 4 years is $1,184

1050 + 32(4)=

1050 + 128

= $1,178.

For Alexis

(P x T x R)/100

(1050 x 4 x 3.2)/100

=13400/100

=$134 interest after 4 years.

Therefore, 1050 + 134

=$1,184.

Apply the distributive property to factor out the greatest common factor.
{25p + 50q} =

Answers

Answer:

25(p+25q)

Step-by-step explanation:

50 and 25 have 25 in common so you divide that out of the equation

There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total

Answers

They had 56 lives in total

Explanation: if there were thirteen friends to begin with and six quit that would leave them with 7 friends. If those seven remaining friends each had 8 lives, you multiply those 7 friends by 8 lives which would get 56.

If all thirteen friends were still in the game then they would have 104 lives all together.
they had 56 lives in toatal

15 over r - 1 when r= 5

Answers

plug in 1 for r so (-1 + 5) = 4
15 / 4 = 3.75

Need help asap! Having trouble !

Answers

In a trapezoid, the segment at the midpoint is the average of the other two bases.

In other words: YZ = (QR + TS) / 2

5x + 1 = ( (2x + 7) + 19 ) / 2

2(5x + 1) = 2x + 26

10x + 2 = 2x + 26

8x = 24

x = 3

YZ = 5x + 1

YZ = 5(3) + 1

YZ = 15 + 1

YZ = 16

Hope this helps!

If the circumstances of the circle below is 72, what is the length of AB (the minor arc)?

Answers

Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

[tex]2\pi r=72[/tex]

[tex]\frac{2*22}{7*r}=72[/tex]

[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]

[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]

[tex]11.99=12(About)[/tex]

Thus, Answer = 12

~lenvy~

Simplify the expression. Write the answer using scientific notation.

A)2.52 × 10–3
B)2.52 × 10–2
C)2.52 × 10–1
D)4.3 × 10–2

Answers

Answer:

B.

[tex]2.52 \times 10 ^{ - 2} [/tex]

ABC is circumscribed about H, with the points of tangency D,E, and F.

Answers

I think the answer is 30

What is the length of AB? I

Answers

Answer:

9 units

Step-by-step explanation:

Line O bissects AC at its midpoint, creating a right angle. So, we know that AB is exactly 1/2 of AC.

Algebraically:

AB = AC/2

AB = 18/2

AB = 9 units

Hope this helps!

Answer:

AB = 9

Step-by-step explanation:

Perpendicular line from the center of the cirlcle to the chord bisects the chord.

AB = 18/2

AB = 9

if h=5 what is 2 x (6-h

Answers

Substitute:
So 2 x (6-5)
Do everything in the brackets:
6 - 5 = 1
Then 2 x 1 = 2
Therefore the answer is 2

Answer:

Step-by-step explanation:

Equation : 2 × (6 - h)

Because h = 5, replace the variable h with 5.

2 × (6 - 5)

Solve the equation in the parentheses.

6 - 5 = 1

The equation is now 2 × 1, which is equal to 2.

So, 2 × (6 - h) is 2.

Hope this helped !

simplify 2/5+2/5-7/15

Answers

Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]

[tex]=\frac{4}{5} -\frac{7}{15}[/tex]

[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]

Simplified:

[tex]=\frac{1}{3}[/tex]

Hope this helps

A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map

Answers

Answer:

  9 1/2 inches

Step-by-step explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

  map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

  x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.

A rock is dropped from the top of a building and hits the ground at a velocity of
–72ft/sec. If the acceleration due to gravity is – 32ft /sec², what is the height of the
building?

Answers

Answer:

81 [ft].

Step-by-step explanation:

1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;

2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:

[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]

3) if g=32, t=9/4, then the required height is:

[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]

The height of the building comes to be 81 feet.

Initial velocity u= 0 feet/sec

Final velocity v= 72 feet/sec

The acceleration due to gravity g =32ft /sec²

Height of the building h= suppose h

What is the equation of motion?

The equation of a motion is:

[tex]v^{2} =u^{2} +2gh[/tex]

Where u and v are the initial and final velocities.

[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]

So, the height of the building = 81 feet.

Therefore, the height of the building comes to be 81 feet.

To get more about motion visit:

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Find the missing side.

Answers

It's 3ft

Step-by-step explanation:

Volume = lxwxh

252 = 7 x 12 x?

= 84 x?

÷84

3. =?

3x12x7=252

Hope this helps!

Find x helpppppppppppp​

Answers

[tex] |2x - 1| = | - x - 2| [/tex]

Thus ;

[tex]2x - 1 = - x - 2[/tex]

Add both sides x

[tex]2x + x - 1 = - x + x - 2[/tex]

[tex]3x - 1 = - 2[/tex]

Add both sides 1

[tex]3x - 1 + 1 = - 2 + 1[/tex]

[tex]3x = - 1[/tex]

Divide both sides by 3

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

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

Or

[tex]2x - 1 = - ( - x - 2)[/tex]

[tex]2x - 1 = x + 2[/tex]

Subtract both sides x

[tex]2x - x - 1 = x - x + 2[/tex]

[tex]x - 1 = 2[/tex]

Add both sides 1

[tex]x - 1 + 1 = 2 + 1[/tex]

[tex]x = 3[/tex]

There u go ...

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