1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mashutka [201]
3 years ago
10

caitlyn has $210 in her savings account and she has to pay her parents $5 each month.Santos has $90 dollars and he saves $5 doll

ars each month. At this rate, when will Caitlyn and Santos have the same amount of money ? How much will they each have?
Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.

Step-by-step explanation:

Caitlyn's saving:  -5x+210

Santos' saving: 5x+90

To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.

-5x+210 = 5x+90

(Add 5x on both sides)

210=10x+90

(Subtract 90 from both sides)

120=10x

(Simplify)

x=12

After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.

You might be interested in
FInd the slope of these graphs plz :(
Lerok [7]

Answer:

1. Slope =1.5

2. Slpe=20

Step-by-step explanation:

The first one

150/100=1.5

Second one

1/0.2=20

7 0
2 years ago
In the freshman class, 62% of the students take math, 49% take science, and 38% take both science and math. what percentage take
antoniya [11.8K]

we are given

62% of the students take math

so,

n(M)=62

49% take science

n(S)=49

38% take both science and math

n(M∩S)=38

now, we can use union formula

n(M∪S)=n(M)+n(S) -n(M∩S)

now, we can plug values

and we get

n(M∪S)=62+49 -38

n(M∪S)=73

so,

the percentage takes at least one science or math course is 73%..........Answer

8 0
3 years ago
Read 2 more answers
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
3 years ago
6 The table below shows the federal income tax rate for wages earned for single adults.
Zielflug [23.3K]

Answer:

F) 35,625

Step-by-step explanation:

Walter is in the 25% range since $47,500 is in-between 36,901 to 89,359

25% = 0.25

47,500 * 0.25 = 11,875

47,500 - 11,875 = $35,625

8 0
3 years ago
Quick picture to find 3 x 2.7
Sav [38]
The answer is 8.1
.........................

8 0
3 years ago
Other questions:
  • Two similar triangles are shown below:
    8·2 answers
  • Question is provided in the image attached.<br><br> 25 points!
    5·1 answer
  • You received 1⁄4 pound of candy from your grandmother, 1⁄2 pound of candy from your sister, and 1⁄8 pound of candy from your bes
    7·1 answer
  • 9x+y=2<br> -4x-y=-17<br> solve the linear system using elimination
    12·2 answers
  • How many pears would each person get if 14 pears are shared among 4 people
    7·2 answers
  • Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi
    15·1 answer
  • Which of the following sets of points is a direct variation?
    11·1 answer
  • Ms. Ling purchases a new car for $32,000 and finances it with a 6-year simple interest loan at an annual rate of 4.25%. What are
    11·1 answer
  • What is meaning of irrational exponents.
    10·1 answer
  • How many factor pairs does 15 have
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!