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
katen-ka-za [31]
3 years ago
6

Your cell phone bill is automatically deducting $32 from your bank account every month. How much will the deductions total for t

he year? *
Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0

Answer:

Every year, the deductions total up to $384 a year, because 12 x 32 = 384. :)

You might be interested in
HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

5 0
3 years ago
3.) Given the graph of the line represented by the equation f(x) = -3x + b,
dsp73

Answer: (4)

Step-by-step explanation:

4 0
2 years ago
Which number is a rational number?
Talja [164]
√49 is a rational number.
8 0
3 years ago
Read 2 more answers
Help needed if you don't mind
laiz [17]

Personification is when an inanimate object is given human-like qualities in writing, so of the options in question 6, the choice with personification in the sentence would be  b. because the World Trade Center does not have footprints, humans do! :)

4 0
3 years ago
Johan ran 36.25 miles in 5 hours. How many miles did he run every hour?
stira [4]
Johan ran 7.25 miles every hour for 5 hours
8 0
2 years ago
Other questions:
  • 25/6-4x=-9x+5/6 Steps?
    13·1 answer
  • In order for a relation to be a function, there cannot be duplicate domain values that have different range values. for example,
    13·1 answer
  • There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix
    7·1 answer
  • 10/-8-6i<br> a. -14+12i/17<br> b. -110+60i/157<br> c. -52+39i/50<br> d. -4+3i/5
    9·1 answer
  • In the given figure ABCD is a parallelogram. Find the value of x.​
    9·2 answers
  • Find the surface area of this cylinder.<br>Round to the nearest tenth.<br>​
    13·1 answer
  • PLSS HELP, show u work and I’ll give brainliest
    5·2 answers
  • This is the question ^^ help
    15·1 answer
  • If the compound interest on a sum of money in 3 years at the rate of 10% per annum be Rs 13020 more than simple interest, find t
    6·1 answer
  • Y = ax2 + c<br><br> Axis of symmetry:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!