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
klio [65]
3 years ago
6

Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away initially and save $20 ever

y month. The second option is to put $300 away initially and save $40 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?
After [ ] months, Tina will save $[ ] with either option.

Mathematics
1 answer:
Mrrafil [7]3 years ago
7 0

Her savings amounts after x months will be ...

... 400 + 20x

or

... 300 + 40x

You want to find x such that these are the same amount. So, we equate these values and solve for x.

... 400 + 20x = 300 + 40x

... 0 = -100 + 20x . . . . . . . . . subtract the left side

... 0 = -5 + x . . . . . . . . . . . . . divide by the coefficient of x

... 5 = x . . . . . . . . . . . . . . . . add the opposite of the constant

Using the first option, we find the savings amount to be

... 400 + 20·5 = 500

After 5 months, Tina will save $500 with either option.

_____

Once you have the expressions for the options, it is convenient to let a graphing calculator tell you the point where they are the same.

You might be interested in
What is the length of the side of a regular octagon if a diagonal is 20 meters long?
Margarita [4]

Answer:

10

Step-by-step explanation:

3 0
3 years ago
Please solve in the next 10 minutes pleaseeee
Alex787 [66]

Answer:

43.82 mph

266.67 feet

Step-by-step explanation:

Given :

S = √30fl

S = speed of car

f = drag Coefficient

l = Length of skid mark

If f = 0.8 ; l = 80 feets

s = √30fl

s = √(30*0.8*80)

s = √1920

s = 43.817

s = 43.82 mph

B.)

s = 80 mph

f = 0.8

s = √30fl

80 = √30*0.8*l

80 = √24l

Square both sides

80² = 24l

6400 = 24l

l = 6400/24

l = 266.67 feets

6 0
2 years ago
Which is the graph of y=.75x-3
goblinko [34]

Answer:

-225

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
MULTIPLE CHOICE:
Vanyuwa [196]

Answer:

4.7 and 5.1

Step-by-step explanation:

7.4 only works if it shows less than or equal to inequality

5 0
3 years ago
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the
tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: k=\frac{y}{x}

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0
3 years ago
Other questions:
  • 9 * 10^7 is how many times as large as 3 * 10^-2
    9·1 answer
  • PLEASE HELP ME AND THANK THIS QUESTION IS 100 POINTS
    8·2 answers
  • Shue a full deck of cards and turn them over one by one until an Ace appears. It turns out that this happened exactly when the 2
    11·1 answer
  • Can you conclude line Gh is congruent to line jk
    5·1 answer
  • Which of the following is the least profitable investment for a candy shop that earns $1 profit per pound of candy?
    15·2 answers
  • Round to the underlined place​
    14·2 answers
  • Please help and no links please
    5·1 answer
  • I need this answer as soon as possible
    13·1 answer
  • what are polynomials abd how can we classify through identification of degree and leading coefficient​
    12·1 answer
  • 30 POINTS IF SOMEONE ANSWERS CORRECTLY (MATH)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!