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
Delicious77 [7]
3 years ago
15

Deshaun and his wife are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the

savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. His wife will not set an initial amount aside but will add $485 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=485N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N .
Simplify your answer as much as possible.\
Mathematics
2 answers:
lara [203]3 years ago
5 0

Answer:

The equation that relates T to N is T=750 + 620*N

Step-by-step explanation:

On the one hand, you know that what Deshaun saved is:

A = 750 + 135 * N

where N is the number of months you have been saving

On the other hand, what his wife saves is: B = 485 * N

The total amount saved using both plans combined implies the sum of what was saved by Deshaun and his wife. So:

T=A + B

Then:

T=750 + 135*N + 485*N

T=750 + 620*N

<u><em>The equation that relates T to N is T=750 + 620*N</em></u>

Bumek [7]3 years ago
3 0
If A=750+135N; and B=485N, then A+B=
750+135N+485N=750+620N
T=620N+750
☺☺☺☺
You might be interested in
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of ele
azamat

Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

Given data

Height of victim= 4.5ft

The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

The vertical distance

The opposite= the vertical distance

789 ft = the adjacent

Step two:

Applying SOH CAH TOA

tan ∅= opp/adj

tan 5= opp/780

cross multiply we have

0.0874= opp/780

cross multiply we have

0.0874*780= opp

opp= 68.17m

The sniper shoots from a vertical distance of  68.17m

8 0
3 years ago
Victor is making a recipe for smoothies. His first recipe requires 2 cups of strawberries for every 7 cups of other ingredients.
sweet-ann [11.9K]

Answer:

2/7 or 3/9

3/9 is greater so the recipe with 3 cups per 9 cup requires more

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
PLEASE HELP QUESTION IN PICTURE
sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

  • This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

  • b + (25+100)=180
  • b + 125 = 180

Step 2: Subtract 125 from both sides.

  • b + 125 - 125 = 180 - 125
  • b = 55

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

  • This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

  • 110-55 = d + 55-55
  • 55 = d

Therefore, d = 55.

5 0
2 years ago
At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find
Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.

A random sample of <em>n</em> = 111 keypads is analyzed.

Then the sampling distribution of \hat p is:

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

P(0.72

                             =P(-1.25

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

8 0
4 years ago
Kelly made six batches of cookies. Her friends asked her to make an extra batch. She used 17 1/4 cups of sugar and needs another
bixtya [17]

Answer:

18 1/8

Step-by-step explanation:

Just simple fraction addition.

17 1/4+ 7/8

Make common denominator

17 2/8+7/8

17 9/8 which is 18 1/8

4 0
4 years ago
Other questions:
  • How do you solve 7x-5=30?
    13·2 answers
  • Weights of cars passing over Bridge part 3<br>​
    11·1 answer
  • What does point g represent
    7·1 answer
  • Someone please help ?
    13·1 answer
  • How do i solve <br> −4(m+6)=−8
    8·2 answers
  • The answer show work please
    12·1 answer
  • Explain why it would be silly to write y is directly proportional to 3x
    11·1 answer
  • A 6-sided die is rolled. What is the probability of rolling a 3 or a 5?
    15·1 answer
  • The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 900
    7·1 answer
  • A, b, c, and d please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!