The pront for a company this year was $100,000. Each year the profit increases at a rate

Masteriza [31]

The answer is (-0.7)

6 0

3 years ago

Determine which method would be more efficient for solving: Rewriting and using the distributive property or dividing. Solve eac

liq [111]

Answer:

A. x = 3.03

B. x = 4/3

Step-by-step explanation:

A. 2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:

(x - 0.03) = 3. Removing the parentheses, we get: x = -0.03 = 3, or x = 3.03.

B. The distributive property is the faster method here. We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:

3(4 + x) = 16

and then carry out the indicated multiplication: 12 + 3x = 16, or

3x = 4, or x = 4/3

7 0

3 years ago

A car is traveling at a speed of miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the ca

mihalych1998 [28]

Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answer:

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

Fetching data from Question:

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

a) How many miles a car will travel in one hour?

b) How many miles will the car travel in 4 hours?

Calculation:

a) How many miles a car will travel in one hour?

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

i.e. 60/1.6 = 37.5 miles per hour

So, the car will travel 37.5 miles in one hour.

b) How many miles will the car travel in 4 hours?

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

The distance = speed × time

= 37.5 × 4

= 150 miles

So, the car travel 150 miles in 4 hours.

Keywords: distance, speed, kilometers, miles

learn more about distance travel and speed from brainly.com/question/12580265

#learnwithBrainly

4 0

3 years ago

A five-digit number starts with a number between 4-9 in the first position, with no restrictions on the remaining 4 digits. a

Maurinko [17]

Answer:

(a) $Pr = 0.3024$

(b) $Pr = 0.6976$

(c) $Pr = \frac{^9P_{n-1}}{10^{n-1}}$

Step-by-step explanation:

Given

$Start = \{5,6,7,8\}$ i.e. between 4 and 9

$n(Start) =4$

$Digits = 5$

Solving (a): Probability that each of the 5 digit are different

Since there is no restriction;

The total possible selection is as follows:

$First\ digit = 4$ (i.e. any of the 4 start digits)

$Second\ digit = 10\\$ (i.e. any of the 10 digits 0 - 9)

$Third\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

$Fourth\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

$Fifth\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

So, the total is:

$Total = 4 * 10 * 10 * 10 * 10$

$Total = 40000$

For selection that all digits are different, the selection is:

$First\ digit = 4$ (i.e. any of the 4 start digits)

$Second\ digit = 9$ (i.e. any of the remaining 9)

$Third\ digit = 8$ (i.e. any of the remaining 8)

$Fourth\ digit = 7$ (i.e. any of the remaining 7)

$Fifth\ digit = 6$ (i.e. any of the remaining 6)

So:

$Selection =4 * 9 * 8 * 7 * 6$

$Selection =12096$

So, the probability is:

$Pr = \frac{Selection}{Total}$

$Pr = \frac{12096}{40000}$

$Pr = 0.3024$

Solving (b): At least 1 repeated digit

The probability calculated in (a) is the all digits are different i.e. P(None)

So, using laws of complement

We have:

$P(At\ least\ 1) = 1 - P(None)$

So, we have:

$Pr= 1 - 0.3024$

$Pr = 0.6976$

Solving (c): An expression to model the probability.

Using (a) as a point of reference, we have;

$Pr = \frac{Selection}{Total}$

Where

$Selection =4 * 9 * 8 * 7 * 6$ ---- for selection of 5 i.e. n = 5

$Total = 4 * 10 * 10 * 10 * 10$

$Selection =4 * 9 * 8 * 7 * 6$

This can be rewritten as:

$Selection = 4 * ^9P_4$

4 can be expressed as: 5 - 1

So, we have:

$Selection = (5-1) *^9P_{5-1}$

Substitute n for 5

$Selection = (n-1) *^9P_{n-1}$

$Selection = (n-1)^9P_{n-1}$

$Total = 4 * 10 * 10 * 10 * 10$

This can be rewritten as:

$Total = 4 * 10^4$

$Total = (5-1) * 10^{5-1}$

$Total = (n-1) * 10^{n-1}$

$Total = (n-1) 10^{n-1}$

So, the expression is:

$Pr = \frac{(n-1)^9P_{n-1}}{(n-1)10^{n-1}}$

$Pr = \frac{^9P_{n-1}}{10^{n-1}}$

Where n represents the digit number

5 0

3 years ago

Trianas age is 5 years less than 3 times her brothers age. Trianas age is 11 minus her brothers age. How old is Triana?

erastova [34]

Answer: 7

HOPE THIS HELPS

8 0

3 years ago