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
givi [52]
2 years ago
7

Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles

is 16% every year and that of cars is 25% every year. Find when the sale of cars will be more then the sale of motorcycles.
Mathematics
1 answer:
OverLord2011 [107]2 years ago
7 0

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

A=P\left(1+r\right)^t

Then we get equation for motorcycles and cars as:

A=5.75\left(1+0.16\right)^t

A=3.5\left(1+0.25\right)^t

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

\left(\frac{1.25}{1.16}\right)^t>1.64285714286

t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}

t>6.6436473051

Hence final answer is approx 6.644 years.

You might be interested in
Can somebody please help me !!!!!!!!!47$4&
Andrews [41]

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

5 0
2 years ago
Read 2 more answers
Fanning + medal
lubasha [3.4K]
The Greatest Common Factor of the given expression should be that expression that can divide both. First, factor both expression,
           x^4 = (x³)(x)      and x³ = (x³)(1)
Therefore, both can be factored by x³. The answer is the third choice. 
7 0
2 years ago
Read 2 more answers
Which of the pairs of events below is mutually exclusive?
Nady [450]

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

3 0
3 years ago
1
jeka94

Answer:

g(x)

because it is a quadratic equation it is mirrored the other one isn’t even a function

8 0
3 years ago
Irma and Kate have summer jobs selling newspaper subscriptions door-to-door, but their
snow_tiger [21]
Check o go gg LE 2345
6 0
3 years ago
Other questions:
  • What is three ratios that are equivalent to 18:4
    13·2 answers
  • The answer <br> Don't know how to solve
    5·1 answer
  • Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $
    14·2 answers
  • Is my answer correct? if not please correct me
    9·1 answer
  • At George Washington High School, the ratio of graduating seniors that go on to college compared to those who do not is 7 : 4. L
    7·1 answer
  • PLEASE ANSWER ASASP!!!!!!!111
    9·2 answers
  • Write 3 and16/25 as a percent
    13·1 answer
  • Find the value of x acellus help please
    12·2 answers
  • What is 30% of 24 If you answer this first you get 10 points
    15·2 answers
  • 4. What is the slope of the graph of x – 2y = 8?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!