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
likoan [24]
3 years ago
13

Adrian's annual income changes every year because of the following three factors: On average, his salary is 1.2 times the previo

us year's salary. 30% of his income is budgeted for rent. In addition to his salary, Adrian's income increases by $2,300 each year as a result of gifts from family members. If Adrian initially has $52,000 and n denotes the number of years, which recursive equation gives Adrian's annual income as a function of the year, f(n)?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0
In this question, Adrian initially has $52,000 and his salary is 1.2 times the previous year's salary. This means the income should look like this:52000*1.2^n 

30% of his income is budgeted for rent, then the equation should look like this: 30% * income= 30%*(52000*1.2^n)

Adrian's income increases by $2,300 each year as a result of gifts will make this equation:2300n

if you put the 3 equation together you will get
f(n)= 52000*1.2^n - 0.3(52000*1.2^n) +2300n
f(n)= 36400*1.2^n +2300n
You might be interested in
What’s the radius, circumference, and area?
Ivenika [448]

Answer:

Radius: 19 yards

Diameter: 38 yards

Circumference: 119. 32

Step-by-step explanation:

Radius

To find the radius you divide the diameter by 2 because, the diameter is a; a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

So 38 ÷ 2 = 19

So the radius is 19.

_____________________

Circumference

To find the Circumference you need to do 2·π·19

C=2·π

2·π = 6.28

6.28 · 19 = 119. 32

Circumference is 119. 32

8 0
2 years ago
The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out
Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So p = 0.3723

12 games in November

So n = 12

What is the probability that the hockey team wins 6 games in November?

This is P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0
3 years ago
Write the prime factorization of 15. Use exponents when appropriate and order the factors from least to greatest (for example, 2
Marianna [84]

Answer:

3 * 5

Step-by-step explanation:

As there are no repeated primes, no exponents are necessary.

4 0
3 years ago
What is the value of x? Then determine the measure of each angle.
IrinaK [193]

<u>Answer:</u>

x = 14°   ||       each angle has 108°

<u>explanation:</u>

first we need to find the total interior angle of this shape:

formula: ( n - 2 ) * 180  ..............where n is the number of sides

( 5 -2 ) * 180

540°

if all sides in the shape are equal, they must have same angle of 9x -18

5 ( 9x -18 ) = 540°

9x -18° = 108°

9x = 108° + 18°

9x = 126°

x = 14°

So each angle has: 9x - 18

                                9(14) - 18

                                108°

7 0
2 years ago
After painting his porch jamil has 1/4 of a can of paint remaining the can has a radius of 8cm and a height of 20cm he wants to
ozzi

Answer:

12.8 cm

Step-by-step explanation:

Radius of the can is 8 cm and height is 20 cm.

It is given that after painting his porch Jamil has \frac{1}{4} of a can of paint remaining. So, first we need to find the total amount of paint in the can.

Total amount of paint in the can is \text{Base area}\times\text{height}

So, paint in the can =\pi r^{2}\times h

=\pi (8)^{2}\times 20

Now \frac{1}{4}  of the can is \frac{1}{4}\times \pi (8)^{2}\times 20

=320\pi cubic cm.

Now, let the height of the smaller can be <em>h</em> cm.

Radius of the smaller can is 5 cm.

As, the paint is poured into the smaller can the volume of both the cans will be same.

\pi (5)^{2}\times h=320\pi

h=\frac{320\pi}{25\pi}

h=12.8

Hence, height of the smaller can to hold the paint must be 12.8 cm.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Round 5,836,197 to the nearest humdred
    10·2 answers
  • I really really need help
    5·1 answer
  • A light private plane can fly 120 mph in still air. Flying against the wind, the plane can fly 320 miles in the same time it req
    6·2 answers
  • What is the probability of drawing a heart or a club? <br> A)0%<br> B)50%<br> C)100%
    13·1 answer
  • A structural steel fabricator cuts 25 pieces each 16.2 centimeters long from a 6.35-meter length
    9·1 answer
  • Please help me with answer I need help
    14·2 answers
  • rhombus CDEF is shown below. If the slope of FC is 25, what must be the slope of CD in order for CDEF to be a square?
    15·1 answer
  • Which equation gives the closest estimate of 692 – 343?
    9·1 answer
  • How would you do this?
    14·2 answers
  • A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!