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
shepuryov [24]
3 years ago
14

Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an

nual percent increase?
Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the  production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

A=P(1+r)^t

here , r is interest rate

so, we can plug values

6.74=3.94(1+r)^{10}

now, we can solve for

\left(1+r\right)^{10}=\frac{337}{197}

r=0.05516

so,

the geometric mean annual percent increase is 5.516%............Answer

You might be interested in
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap
11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

\dfrac{dV}{dt}=20$ ft^3/min

\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}

\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}

Therefore: \dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0
3 years ago
Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?
Neko [114]
Well to find the volume of the square prism, first you need to multiply the base area (36) by its height (3) and you would end up with 108m3 as the volume. You may not be familiar with this because u are most likely taught length times width times height as volume, but what i just did is the same because length times width is the sum of the base area, and height was already given. Anyways, now that we have gotten the square prism volume (108m3) we need to find which prism has the same volume. I’m gonna save u from searching and tell you that it is the rectangular prism because length times width times height (18x2x3) equaled 108 just like the square prism.
8 0
3 years ago
Read 2 more answers
Based on the audio, what is an activity Carlos doesn't do every morning?
GREYUIT [131]
Do ph and probably cheat
6 0
3 years ago
works as a florist and worked 12 hours last week and earned $98. At that rate, how much will she earn this weekend if she works
kotykmax [81]

Answer:

$114.3

Step-by-step explanation:

Number of hours worked last week  = 12hrs

Amount earned for her work hours = $98

 The rate at which she earned =  ?

        Rate = \frac{amount earned }{total work hour}  

        Rate  = \frac{98}{12}    = $8.17/hr

Now;

Since the total hours she worked during the weekend  = 14hrs

  Amount earned  = $8.17/hr   x 14hrs   = $114.3

7 0
3 years ago
3. Maxx has a regular exercise
Ainat [17]
Como te lamps estoy es una le to yo new tamoxifen es boyatchao
3 0
3 years ago
Other questions:
  • Whats the value of 4 in 46,395 and the value of 4 in 14,906
    8·1 answer
  • PLZ HELP!
    9·1 answer
  • How many acres are in a rectangular field that measures 2310 ft by 535 ft?
    11·1 answer
  • Please help me ASAP thank uu
    11·1 answer
  • 1. Estimate the amount of money you need to pay for a tank of gas if one gallon costs $3.04 and the tank holds 11.9 gallons.
    6·2 answers
  • The inequality 94 – 3 log2x ≤ 88 describes noise exposure level (in decibels) in terms of the number of hours, x, it takes to re
    15·2 answers
  • Abigail is driving on a long road trip. She currently has 13 gallons of gas in her car. Each hour that she drives, her car uses
    9·1 answer
  • Zack is standing at the top of a lookout tower and spots a water fountain below. If the lookout tower is 75 feet tall and the an
    7·1 answer
  • Why am i so stressed can someone answer me
    12·1 answer
  • Round 1.8090 to the nearset hundreths
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!