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
Evgen [1.6K]
3 years ago
15

Which function is the inverse of ? f(x)=50,000(0.8)^x

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
Answer:

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8)</span></span></span></span>

Explanation:

write as : <span>y=50000<span><span>(0.8)</span>x</span></span>

Taking logs:

<span><span>log<span>(y)</span></span>=<span>log<span>(50000)</span></span>+<span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span></span>

But <span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span> is the same as <span>x<span>log<span>(0.8)</span></span></span>

Thus
<span>x=<span><span><span>log<span>(y)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

</span></span></span></span></span>Now swap the x'x and the y's giving:<span><span><span><span><span>
</span></span></span></span></span>

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

my teacher helped a little bit


</span></span></span></span></span>

You might be interested in
Lester rents his vacation home for 6 months and lives in the home during the other 6 months of 2018. The gross rental income fro
zepelin [54]

Answer:

$ 500

Step-by-step explanation:

Data provided:

Gross rental income from the home = $ 4,500

Real estate taxes for the year = $ 800

Interest per year = $ 3,000

Utilities and maintenance expenses = $ 2,200

Depreciation expense = $ 4,000

Now, for 6 months

Real estate taxes for the year = $ 800 × 0.5 = $ 400  (0.5 as the for half a year i.e 6 months)

Interest per year = $ 3,000 × 0.5 = $ 1500

Utilities and maintenance expenses = $ 2,200 × 0.5 = $ 1,100

Depreciation expense = $ 4,000 × 0.5 = $ 2,000

Thus,

Total expenses for 6 months = $ 400 + $ 1500 + $ 1,100 + $ 2,000 = $ 5000

Therefore,

Net loss from renting his vacation home = Total expenses - Gross income

or

Net loss from renting his vacation home = $ 5000 - $ 4500 = $ 500

6 0
3 years ago
Divide.<br> (18x² + 45x+29) = (3x+5)<br> Your answer should give the quotient and the remainder.
MrRa [10]
3x+5 = a
a * 6x = 18x^2 + 30x
R = 15x + 29
a * 5 = 15x + 25
R = 4

answer: 6x + 5; R = 4
5 0
3 years ago
A 6-foot pine tree was planted and grew 2 feet each year Write an algebraic expression for the height after y years?
gladu [14]
6+2y, since the tree is already 6 feet, it grows 2 feet per year so you add 2 feet to the 6 feet every year
6 0
3 years ago
The math test time was 3/4 hr.The Ela test time was 2/4hr.How much longer was the math test time​
Alex_Xolod [135]

Answer:

1/4 hr longer

Step-by-step explanation:

4 0
3 years ago
33.06 is 228% of what number?
marta [7]
14.5 would be the answer

4 0
3 years ago
Other questions:
  • What is the value of x?<br><br> Enter your answer in the box.
    5·1 answer
  • 11 less than three times a number is the same as 75 less than the product of-1 and the number
    14·1 answer
  • Find the area. and explain step by step please.​
    14·1 answer
  • The area of circle 200mm is diameter approximately how many times greater the the are of a circle40mm in diameter
    9·1 answer
  • Sixty- four and five hundred eleven thousandths in standard form
    11·1 answer
  • I need help! I don't understand this!
    7·1 answer
  • 13/16 - 3/8 Perform the indicated operation.
    6·2 answers
  • (Please only correct answers only)
    11·2 answers
  • HELP THIS IS WORTH 88 POINTS
    14·1 answer
  • A cabinet is 1.5 meters tall. If 1 meter is approximately 1.09 yards, how tall is the cabinet, in yards?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!