What is bigger 1/5 or 2/10

Answers

Answer 1
Answer: they are equal...1/5 is half of 2/10


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Mr. Johnson has $15,000 to invest. Part of it is put in the bank at 4 percent, and part he puts in a savings and loan at 7 percent. If his yearly (simple) is $951, how much did he invest at each rate?

Answers

Answer:

$3300 at 4%

$11700 at 7%

Step-by-step explanation:

Total investment = $15000

Total simple interest on investment = $951

Investment A:

Rate = 4% =0.04

Investment B:

Rate = 7% =0.07

Simple interest (S. I) = principal * rate * time

(S. I on investment A + S. I on investment B)

Let principal amount in investment A = A

principal amount in investment B = B

(A * 0.04 * 1) + (B * 0.07 * 1) = $951

0.04A + 0.07B = $951 - - - - (1)

A + B = $15000 - - - - (2)

from (2)

A = 15000 - B

Substitute A = 15000 - B into (1)

0.04(15000 - B) + 0.07B = 951

600 - 0.04B + 0.07B = 951

600 + 0.03B = 951

0.03B = 951 - 600

0.03B = 351

B = 351 / 0.03

B = $11700

From (2)

A + B = $15000

A + $11700 = $15000

A = $(15000 - 11700)

A = $3300

Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift? A. f(x) + k B. kf(x) C. f(x + k) D. f(kx)

Answers

Theere are certain rules that apply:
1. f(x)+k = vertical shift
2. kf(x) = vertical stretch/shrink (depending)
3. f(x+k) = phase shift, also known as a horizantal shift.
4. f(kx) = Horizantal stretch/shrink

The answer to your question is C. 
I hope that this is the answer that you were looking for and it has helped you.

Answer:

C

Step-by-step explanation:

i wouldnt lie to you

Gepetto, a puppet maker, can produce 15 new puppets per week. He already has 25 completely finished puppets in storage. We want to write an equation to model the relationship between the number of puppets available for sale and the number of weeks. a) What is the slope of your model? (Hint: you are looking for a rate!) b) What is the y-intercept of your model? (Hint: this is also sometimes called the “starting value.”) c) Write an equation in slope-intercept form expressing the relationship between the number of puppets available for sale and the number of weeks. Make sure to define your variables! d) Use your equation to predict how many puppets would be available for sale after seven weeks. e) Use your equation to determine how many weeks it would take Gepetto to fulfill an order for 220 puppets.

Answers

a) The slope of the model  is 15.

b) The y-intercept of the model is 25.

c) p = 15w + 25, where p is puppets and w is weeks

d) After seven weeks, there would be 130 puppets available for sale.

e) It would take Gepetto 13 weeks to fulfill an order for 220 puppets.

What is the slope of your model?

The slope of the model shows how quickly the number of puppets for sale changes over time. In this situation, Gepetto makes 15 new puppets every week, so the slope is 15.

The y-intercept of the model shows how many puppets Gepetto already has in storage at the beginning. In this situation, he has made 25 puppets that are fully done, so the starting point on the graph is at 25.

The equation in slope-intercept form included the slope and the starting point on the y-axis.

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Answer:

a) 15

b) 25

c) p = 15w + 25, where p is puppets and w is weeks

Step-by-step explanation:

a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15

b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already

c) The slope and y-intercept were incorporated into an equation in slope-intercept form.

Draw the solution for 4(2+10) when using the distributive
property.

Answers

It would be 8 + 40 because you multiply the 4 by the 2 and 10

Consider the population of florida , the area of colorado, and the flight time from philadelphia to san francisco, which of these has a value that varies.

Answers

Answer:

the population of Florida

Step-by-step explanation:

A value that varies means a value that shall change over a period of time.

Accordingly when we talk about population the population shall increase or decrease with time, as this the natural thing that new babies are born and at the same time people also die.

Even in Florida there will be new babies who are born and also there shall be people who might be dying. Accordingly the population count keeps on changing.

The flight time depends upon the aerial distance and the speed which generally remains same.

Accordingly if a flight takes  hours to travel the distance it will be same.

The area of a particular place shall not change as earth will not create new land, or the area will remain same by any how only exception to this is acquisition of land of neighbouring places, by war or political influence, but not in a  natural manner.

Thus, population of Florida is variable.

Final answer:

The flight time from Philadelphia to San Francisco varies.

Explanation:

The subject of the question is a comparison of three different values: the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Out of these three, the value that varies is the flight time from Philadelphia to San Francisco.

This is because the population of Florida remains relatively constant over time, while the area of Colorado also remains the same. However, the flight time from Philadelphia to San Francisco can vary based on factors such as weather conditions, air traffic, and flight routes.

For example, if there are strong headwinds, it may take longer to fly from Philadelphia to San Francisco compared to a day with favorable tailwinds.

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The city park shown at the right has an area of 6889 m². The parks length along the front Street is 83 m. Find the length of the park along second Avenue.

Answers

length times width = area
83 m times w =6889
divide both sides by 83
and the second length w is 83m