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
A cube-shaped gift box has a volume of 8 cubic inches what is the side length of the box
mihalych1998 [28]

V = s^3

8 = s^3

8 = 2^3

s=2 inches

6 0
3 years ago
Read 2 more answers
Given that a­­b = x, evaluate the following:<br> c<br> 2a3b+a2b+ab
Mrrafil [7]
It will be ......
.......

4 0
3 years ago
Clare earned a total of $12 for 2 hours of yard work. How many hours in all will it take Clare
Luba_88 [7]

Answer:

3 hours

Step-by-step explanation:

$12 = 2hours

Find how much Clare was paid for one hour

Total money earned ÷ number of hours = wage per hour

12 ÷ 2 = $6 per hour

set up equation

6x = 18

This equation says 6 dollars an hour × number of hours = $18

To solve for this equation, divide both sides by 6 (this isolates the variable)

6x ÷ 6 = 18 ÷ 6

1x = 3

x = 3

8 0
3 years ago
What is 80 times 5,000 equal??
AURORKA [14]

Multiply the two numbers

5000 x 80 = 400,000

400,000 is your answer

hope this helps

8 0
3 years ago
Read 2 more answers
Lauren is running in a race to raise money for her favorite charity the total distance of the race is 12.5 miles so far she has
solmaris [256]
To get the answer I divided 12.5 by 10. The answer is 1.25.
6 0
3 years ago
Other questions:
  • How long will it take a passenger train traveling at 160 miles per hour to travel from Denver, Colorado to Lincoln, Nebraska? Th
    8·1 answer
  • Outcome A B C D
    9·2 answers
  • An equation is shown below: 3 e - 8 ) = 5 e + 43 Solve this equation showing at least 4 steps and explain each step.
    13·2 answers
  • A square painted has a side length of 18 inches what is the area of the painting
    11·2 answers
  • A sandbox has a area of 26 square feet and the length is 5 1/2 feet what is the width of the sandbox?
    14·2 answers
  • Y = 5x - 8<br><br> 4x + 3y = 33 el valor de x es ?
    12·1 answer
  • 9th grade math please help. A B C or D?
    8·1 answer
  • 4) Nicole spent half of her weekly allowance
    14·1 answer
  • The expression below represents the perimeter of a square in centimeters.
    8·1 answer
  • Difference
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!