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
horrorfan [7]
2 years ago
8

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

Mathematics
1 answer:
posledela2 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

Since\  \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0

You might be interested in
Carlos solved the system of equations below. What mistake did he make in his work? (5 points)
notka56 [123]

Answer:

Ele não distribuiu corretamente

Step-by-step explanation:


4 0
3 years ago
What’s all the answers to lesson 9 algebra 1 a unit 5
Lena [83]
Do you have a picture or some information of some sort?
8 0
3 years ago
Tim Tradesman had a taxable income of $82,500. He figured his tax from the table.
kakasveta [241]
<span>His earned income level are as follows.
 
The base amount is $14,138.50

</span><span><span>The amount over $62,450 = $82,500 - $62,450 =$20,050

The amount of tax on the third $20,050 is given by 31% of $20,050 = 0.31 x $20,050 = $6,215.5</span>
(i.e. Multiply line 3 by 31% = $6,215.5)

Total tax = $ 14,138.50 + $6,215.50 = $20,354
(i.e. Add lines 2 and 4 = $</span>20,354)
8 0
3 years ago
A thin piece of wood of uniform density in the shape of an equilateral triangle with side length 3 inches weighs 12 ounces. A se
natta225 [31]
Sorry i dont know the answer but i can help you with your other questions
7 0
2 years ago
Read 2 more answers
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 0.1 and independent of other
ludmilkaskok [199]

Answer:

0.40951  

Step-by-step explanation:

P(none in five years)   = 1 - 0.1 = 0.9

P(at least one) = 1 - P(none in five years)

= 1 - 0.9^{5}

= 1 - 0.59049

= 0.40951

So the probability of a hurricane hit at least once in the next 5 years is  0.40951  

8 0
3 years ago
Other questions:
  • Thomas has a vegetable garden. During the summer he grew 582 vegetables.
    13·1 answer
  • Help?Please and explain
    10·1 answer
  • Tell whether each addition problem has a sum greater the 1/2.
    6·2 answers
  • A store owner claims that the proportion of shoppers who use coupons is less than 25%. To test this claim, a random sample of sh
    14·1 answer
  • Susan is buying supplies for a party. Spoons only come in bags of 2 and forks only come in bags of 16. What is the least number
    10·1 answer
  • There are 472 stuffed beats in stock at a factory. The factory has 35 cartons of bears. There are 16 in a carton. How many more
    12·2 answers
  • 1) Which statement below is equivalent to - 15 - 12? Ex choice. a) - 15 + 12=-3 b) -15 +-12=-27 c) 15 - 12=3 d) 15--12=-27 ANSWE
    12·1 answer
  • 9/15=x/30=45/x fill in the missing numerator or denominator
    9·1 answer
  • Solve using substitution<br>x=-6<br>x-y=-8​
    9·1 answer
  • Suppose there are two blocks of solid iron. One block is a cube, three inches on a side. The other block is a cube three miles o
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!