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
Anna11 [10]
3 years ago
12

It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gn

ome currently valued at £80,000. If the rate of inflation is correct:
a) What will Jean-Claude's gnome be worth after 1 year?


b) What is the common ratio of the geometric progression?


c) What will Jean-Claude's gnome be worth after 10 years?


d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.
Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

=  £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c )  worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x 1.02^k

1.5 = 1.02^k

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

You might be interested in
Acell phone company charges $40 per month for unlimited calling, and $0.20 per text message sent. If t represents
-Dominant- [34]

Answer:  40 + 0.21t

Step-by-step explanation:

If t is the number of texts last month and the initial fee for each month is $40  then you will have the expression 40+0.21t

3 0
2 years ago
Which expression is equivalent to (4^-3)^-6<br><br> a.) 4^3<br> b.) 4^-9<br> c.) 4^-18<br> d.) 4^18
mario62 [17]

Answer:

Answer:

The answer is d.) 4^18

3 0
2 years ago
What is Mrs. Gordon's rate from 0 to 2 seconds?<br> Please help me!!!!!
zzz [600]

Answer:did you ever get it?

Step-by-step explanation:

5 0
2 years ago
What is the volume of the prism?
Dmitry [639]
The volume would be 2040
7 0
3 years ago
What if i=radical -1, what is the value of i^3
aleksklad [387]

\bf i^3\implies \sqrt{-1}\cdot \sqrt{-1}\cdot \sqrt{-1}\implies (\sqrt{-1})^2\sqrt{-1}\implies \sqrt{(-1)^2}\cdot \sqrt{-1} \\\\\\ -1\cdot i\implies \boxed{-i}

6 0
3 years ago
Other questions:
  • Find the smallest 3-digit number which gives the remainder 1 when divided by 3 and by 4.
    12·1 answer
  • What’s the answer? I really need help!!!
    7·1 answer
  • Which number is the greatest absolute value? Pick one: -12,10,-8, or 6
    10·2 answers
  • As you ___________ your vehicle, look for fluids and other objects that were not there before you parked your vehicle.
    5·2 answers
  • To find the product of x4 and 6 do you
    12·1 answer
  • Can someone pls help me with this?
    8·1 answer
  • **Think about how many TOTAL pieces there will be.
    13·1 answer
  • PLLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEE
    9·1 answer
  • Help! Will give brainliest!
    15·1 answer
  • Write the product using exponents.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!