At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let 'J' represent the amount of money John has saved tt weeks after the beginning of the year and let 'I' represent the amount of money Isaac has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.

Answers

Answer 1

Answer:

10 weeks

Step-by-step explanation:

Let’s replace ‘t’ with numbers going up starting from 0 on both sides of the equation. Repeat until you get to 10 and you see that both are equal at $170 has been saved after 10 weeks.


John’s equation: 40 (y intercept) + 13t (saved per week)

Issac’s: 80 (y intercept) + 9t (amount saved per week)


The y-intercept represents the amount of money already saved up.


Related Questions

what expression is equivalent to -3x^2 - 24x - 36

Answers

Answer

-3(x+2)(x+6)=0

Step-by-step explanation:

[tex]-3x^{2} -24x-36=0\\\Leftrightarrow -3(x^{2}+8x+12)=0\\\Rightarrow -3(x+2)(x+6)=0[/tex]

4. Sophie can type 128 words in 3 minutes.
How many minutes will it take her to type 576
words?

Answers

Answer:

13.5 minutes

Step-by-step explanation:

128 = 3 minutes

128/3 = 1 minute worth of words

42.6 = 1 minute

576/42.6 = 13.5

Answer:

13.5min or 13min 30sec

Step-by-step explanation:

What is the difference of the fractions? Use the number line to help find the answer. One-half minus 1 and one-fifth A number line going from negative 2 to positive 2 in increments of StartFraction 1 over 10 EndFraction Negative 1 and StartFraction 7 over 10 EndFraction Negative StartFraction 7 over 10 EndFraction StartFraction 7 over 10 EndFraction 1 and StartFraction 7 over 10 EndFraction

Answers

Answer:

Negative StartFraction 7 over 10 EndFraction

Step-by-step explanation:

Given the expression [tex]\frac{1}{2} - 1\frac{1}{5}[/tex], we are to find the difference

First convert the mixed fraction [tex]1\frac{1}{5}[/tex] to improper fraction

[tex]1\frac{1}{5}[/tex] = [tex]\frac{6}{5}[/tex]

The expression becomes;

[tex]\frac{1}{2} - \frac{6}{5}[/tex]

Find LCM

[tex]\frac{5-6}{10}[/tex]

Evaluate the resulting expression

[tex]\frac{5-12}{10}\\\\\frac{-7}{10}[/tex]

Hence the correct option is C i.e Negative StartFraction 7 over 10 EndFraction

Answer:

the answer is B

Step-by-step explanation:

The length of a rectangular room is 4 feet longer than twice the width. If the room’s perimeter is 140 feet, what are the room’s dimensions?

Answers

Answer:

Width = 22ft  Length = 48ft

Step-by-step explanation:

Length = 2(w) + 4

I personally first picked a random number (20) and I got 128, so I knew I had to pick a larger number.

I skipped up to 22 and this is what I did.

W = 22(2) <--(Since there are two width sides) = 44

L = 2(w) + 4

L = 2(22) + 4

L = 44 + 4 = 48

48(2) <--(Since there are two length sides) = 96

96 + 44 = 140

Hope this helps!

Question: Let R be the circle centered at (0,0) with radius 10. The lines x=6 and y=5 divide R into four regions R1, R2, R3 , and R4. Let R_i denote the area of region R_i If R1>R2>R3>R4,

then find R1-R2-R3+R4
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Thanks! (Brainliest, 5 stars, and thx!)

Answers

Answer:

120

Step-by-step explanation:

i used geogebra :)

How many inch thick books can fit on a 14 1/2 inch-long bookshelf?

Answers

Answer:

14.

Step-by-step explanation:

14 1/2 / 1 = 14 1/2

answer 14.

Answer:

14 books

Step-by-step explanation:

At most 14 because it is 14 1/2 inches long

What is the value of x?

Answers

Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 points. In the last 4 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points. Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored. Write an inequality to determine the number of points per inning, ppp, Kim's team could have scor Find the minimum whole number of points per inning Kim's team could have scored.

Answers

Answer:

3

Step-by-step explanation:

Given the following :

Score when there were 4 innings left = 17 to 6

Kim's team = 6 ; opposition team = 17

Opposition didn't score any point in the last 4 innings

Kim's team scored same number of points per inning and also won with the most points

Minimum Number of points Kim's team could have scored per inning :

Let number of points scored in each of the last 4 innings = p

Since they also won eventually:

Then

4p + initial points > opposition point

4p + 6 > 17

4p > 17 - 6

4p > 11

p > 11/4

p > 2.75

Hence, the minimum number of points Kim's team could have scored per inning in the last 4 would be 3( nearest whole number)

how many partial products are in area model A ​

Answers

Answer:

where is model A

Step-by-step explanation:

Find the value of 192 x 38

Answers

Answer:

7296

Step-by-step explanation:

.

Answer:

7296

Step-by-step explanation:

you multiply the two numbers and the out come is 7296

Oliwia made a scale copy of the following triangle she used a scale factor greater than 1 whats the height

Answers

Answer:

Is this the complete question? is there a figure for this?

How many bags of marbles, each 2/5 of a kg each can be made from a sack of marbles which weighs 280kg?


Can anybody answer me please I will mark you as brilliance

Answers

Answer:

112 bags o marbles

Step-by-step explanation:

280kg/2.5= 112 bags

please help me with this question!




// i didn’t mean to select d

Answers

Answer:

B

Step-by-step explanation:

on visits they is not any kind of pattern  it is oppisite or negative with no Relationship and the books are not either

The population of a certain town was 50,000.In a year,male population
was increased by 5% and female population was increased by 3%. Now
the population beame 52020. Then what was the number of males and
females in the previous year?
olution:- Let the number of males in previous year be x,number of females​

Answers

Answer: Male population = 26,000

               Female population = 24,000

Step-by-step explanation: Male population = X

                                             Female population = Y

               x+y=50,000

               y=50,000-x-(1st equation)

Again (x+x X 5%) + (y+y X 3%) = 52,020

-> x+5x/100 + y+3y/100 = 52020

->  100x+5x+100y+3y =52020

   ________________

                100

-> 105x+103y = 52020-( 2nd Equation)

Putting Eq 1 into 2 ,

105x+103 ( 50,000-x)= 52,020

-> 105x + 5,150,000-103x = 52,020

->2x = 52,020-5,150,000

->2x = 52,000

    x = 26,000 (Male population)

    y = 50,000-26,000

       = 24,000 (Female population)  

   

   

             

SPEED QUESTION!!!
the first person that answers this and gives step by step explanation gets 50 points plus brainliest answer!!!

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

GOOD LUCK!!!

Answers

Answer:

-6

Step-by-step explanation:

Given

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

Solving for x

4(1 - x) + 3x = -2(x+1)4 - 4x + 3x = -2x - 24 - x = -2x - 2- x + 2x = - 2 - 4x = - 6

Answer:

x = -6

Step-by-step explanation:

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

~Distribute both sides

4 - 4x + 3x = -2x - 2

~Combine like terms

4 - x = -2x - 2

~Add x to both sides

4 = -x - 2

~Add 2 to both sides

6 = -x

~Divide -1 to both sides

-6 = x

Best of Luck!

A soccer coach recorded how many hours, rounded to the nearest hour each of 12 soccer players practiced for last week The box and whisker plot that descubes the ata is displayed
below the first quartile of the data was 75 which statement must be true?
105
12
Exactly 9 of the 12 soccer players prachoed for between 7 and 8 hours last week
Exactly 9 of the 12 soccer players practiced for at least 7 5 hours last week
Exactty 3 of the 12 soccer players practiced for between 7 and 8 hours last week
Exactly 3 of the 12 soccer players practiced for at least 7 5 hours last week​

Answers

Answer:

The correct option is;

Exactly 3 of the 12 soccer players practiced for at least 75 hours last week,

Step-by-step explanation:

The given information are;

The number of soccer players that practiced = 12 soccer players

The first quartile of the data of the recorded number of hours each soccer player practiced = 75

Therefore, given that that there are 12 soccer players, the number of data points = 12

The value of the 1st quartile is the value of the (n + 1)/4th term

When n = 12, we have;

The 12th quartile = (12 + 1)/4 = 3.25 th term with the values arranged in increasing order;

Therefore, the first quarter has the values for the first 3 players, with the lower practiced hour recorded while the recorded time for the remaining 9 players come after the first quartile;

The correct option is therefore that it must be true that exactly 3 (since we do not represent a player with the remaining fraction of 0.25 in 3.25) of the 12 soccer players practiced for at least 75 hours last week.

provide the domain and range for the following relation
20 points !!!

Answers

The range is (3,4) and the domain is (5,3)

hii please help me!!!

Answers

Answer:

17

Step-by-step explanation:

The overlapped ones still went to germany but also went to other places to so...6+4+4+3

Answer:

Not sure

Step-by-step explanation:

Andrew bought 16 pears. He ate 4 pears. What percentage of the pears did Andrew eat? (1 point)

25%
32%
40%
64%

Answers

Answer:

25%

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4/16×100℅

1/4×100℅

25

Help me please with those 4 questions

Answers

Answer:

it small an blurry

Step-by-step explanation:

Solve b + 3∕8 = 4∕9 for b.
Question options:

A)

5∕72

B)

59∕72

C)

1∕6

D)

32∕27

Answers

Answer:

5/72

Step-by-step explanation:

B would be 5/72 so the answer would be A

Can you guys help me find the values of z and y?

Answers

Answer:

y=33 z=69

Step-by-step explanation:

y=27, z=111

explanation:
3y-12= 69
3y= 81
y= 27

180-69= 111=z

3xy + 9 - 4x - 7+ x or – 2x + 3xy - (x - 2)

Answers

Answer:

the answer is3xy+9-4x. -3x+3xy

Answer:

3xy+9-4x-7+x. -2x+3xy-(x-2)

=3xy+(9-7)+(-4x+x). = -2x+3xy-x+2

=3xy+2-3x. = (-2x-x)+3xy+2

= -3x+3xy+2

Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 19% per hour. Suppose also that a sample culture of 2300 bacteria is obtained from this population. Find the size of the sample after five hours. Round your answer to the nearest integer.

Answers

Answer: 5489

Step-by-step explanation:

Given the following :

Growth rate (r) = 19% per hour

Sample culture in population = 2300

Size of sample after 5 hours =?

Using the exponential relation:

P = Po * r^t

P = population after 5 hours

Po = Initial sample population

t = time

P = 2300 * (1 +19%)^t

P = 2300 ×(1 + 0.19) ^5

P = 2300 * 1.19^5

P = 2300 * 2.3863536599

P = 5488.61341777

P = 5489 (nearest integer)

find the nth term of 8,17,26,35,....

Answers

Answer:

8 + (n-1)*9

Step-by-step explanation:

In the series, we can see that the difference between 2 consecutive terms is always 9, and the sequence starts at 8.

That means the nth term of the series must be 8 + (n-1)*9

Rachel bought new school supplies for herself at Target. Pencil packs were $4.75, markers were $6.80, and folders were $8.64. If she bought 7 folders, 2 pencil packs, and 3 packs of markers, how much money did she save if she had a 15% discount coupon?

Answers

Answer:

She saved $13.56

Step-by-step explanation:

$8.64 x 7 folders = $60.48

$4.75 x 2 packs of pencils = $9.50

$6.80 x 3 packs of markers = $20.40

$60.48 + $9.50 +$20.40 = $90.38

$90.38 - 15% = $76.82 (76.823)

She saved a total of $13.56 (13.557)

Answer:

Rachel saved $13.56

Step-by-step explanation:

Pencil Packs: 2 x $4.75 = $9.50

Markers: 3 x $6.80 = $20.40

Folders: 7 x $8.64 = $60.48

Add up the costs.

$90.38

Multiply $90.38 by 0.15

13.557

Round to the nearest hundredth.

$13.58

Hope I helped :)

Please consider Brainliest :)

find the distance between point to p(8,2) and Q(3,8) to the nearst tenth

Answers

Answer:

Using the distance formula it is the square root of 61 which is about 7.8 to the nearest tenth soooo if Q

Step-by-step explanation:

a. 19.6
b. 25.8
c. 18.1
d. 20.4​

Answers

Answer: I think the answer is B

Step-by-step explanation:

After Batman brought the Joker to justice, the crime rate in Arkham City decreased by 12\%12%12, percent. Previously, the crime rate was ccc incidents per 100010001000 people.


pls help me

Answers

Answer:

120

Step-by-step explanation:

Given A and B are vertical angles with m∠A = 20x + 10 and m∠B = 30x – 10. What is x? 3.6 4 2 9
i will give brainliest

Answers

Answer:

Step-by-step explanation:

∠A and ∠B are vertical => ∠A=∠B

20x+10=30x-10

20x-30x= -10-10

-10x= -20

x= -20 / -10 = 20 / 10 = 2

x=2

Good luck!

Answer:

2

Step-by-step explanation:

Ok remember this because its going to appear alot in geometry. Vertical angles are ALWAYS congruent and congruent means when two things are equal/ are the same.

If angle a and b are vertical angles what does that mean?

they are CONGRUENT!

you know A = 20x+ 10 and B= 30x-10

so you can write it as

20x+10 = 30x-10

because Angle A and B equal each other

then get the variable by itself so subtract -20x on both sides

10 = 10x-10

then add 10 to both sides which is

20 = 10x

and divide 10 on both side and 20 divided by 10 is 2

so 2 =x

which is the same as x =2  

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