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
Kipish [7]
2 years ago
12

Write a function modeling this debt situation if the initial debt in 2009 was

Mathematics
1 answer:
Karolina [17]2 years ago
6 0

Answer:

To solve this, we are going to use the standard decay function where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

I will tell Greece to decrease their expending by 25%

To find our decay factor , we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%

Decay factor =

Decay factor =

Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function  from our previous point.

where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so ; we also know from our previous calculation that our decay factor is (0.75), so lets replace those values in our function:

We can conclude that the function that model this debt situation is: .

Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when . Since we will need logarithms to find the time , and the logarithm of zero is not defined, we are going to use a small value for , so we can use logarithms to find .

Let . After all, a $1 debt for a country is practically the same as being debt-free.

Now, we can solve for  using logarithms:

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, decreasing the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

You might be interested in
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black
Juliette [100K]

The number of children who wore both orange and black will be 8.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.

Then the number of children who wear costumes and black & orange. Then we have

⇒ 46 - 18 - 12

⇒ 46 - 30

⇒ 16

Half of the guests will go in costumes that are neither black nor orange. Then we have

⇒ 16 / 2

⇒ 8

Then the number of the children who orange and black will be  

⇒ 16 - 8

⇒ 8

The number of children who wore both orange and black will be 8.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

3 0
2 years ago
Which function is a quadratic function? y – 3x2 = 3(x2 + 5) + 1 y2 – 7x = 2(x2 + 6) + 7 y – 2x2 = 6(x3 + 5) – 4 y – 5x = 4(x + 5
Anna71 [15]

Answer:

Option A.

Step-by-step explanation:

The general form of a quadratic function is  

y=ax^2+bx+c

It means, power of y should be 1 and highest power of x should be 2.

In option A,

y-3x^2=3(x^2+5)+1

y-3x^2=3x^2+15+1

y=3x^2+16+3x^2

y=6x^2+16

It is a quadratic function.

In option B,

y^2-7x=2(x^2+6)+7

Here, power of y is 2. So, it is not be a quadratic function.

In option C,

y-2x^2=6(x^3+5)

Here, highest power of x is 3. So, it is not be a quadratic function.

In option D,

y-5x=4(x+5)+9

Here, highest power of x is 1. So, it is not be a quadratic function.

Therefore, the correct option is A.

7 0
3 years ago
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm3, find the volume of the
Inessa [10]

Answer:

solution given:

similar cylinders ratio 1:3

let the ratio be 1x and 3x respectively:

according to the question:

x/3x=volume of (smaller cylinder/big cylinder)

Volume of big Cylinder=67cm³×3=201cm3

201cm³ is your answer

4 0
2 years ago
Pls Helpp!!! "Nancy currently has $50.75 in her bank account and plans on depositing $11.25 into the account each week. She plan
Savatey [412]

Answer:

Step-by-step explanation:

w = (197-50.75)/11.25 = 13

3 0
2 years ago
Dimensional <br> 528 feet to miles
Volgvan

Answer: 0.1 mile

Step-by-step explanation:

5280 feet equals one mile

5280 ÷ 10 equals 528

8 0
2 years ago
Other questions:
  • I need help with 14 and 15
    10·1 answer
  • A sporting goods manufacturer requires three sevenths 3/7 yd of fabric to make a pair of soccer shorts. how many shorts can be m
    6·1 answer
  • Find the area to the combined rectangle
    12·1 answer
  • At a pizza shop, 70% of the customers order a pizza, 25% of the customers order a salad, and 15% of the customers order both a p
    14·1 answer
  • Identify the domain and range of each function.
    8·1 answer
  • Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units fol
    14·1 answer
  • How many acres are contained in a parcel described as follows: The NE ¼ of the NW ¼; the N ½ of the NW ¼, NE ¼, of Section 10?
    15·1 answer
  • Zoe has 16.8 feet of fabric to make masks. Each mask takes 1.2 feet of fabric to make. How many masks can she make?
    14·1 answer
  • I NEED HELP ASAP!<br><br> You pick a card at random.<br><br> 2345<br><br> What is P(odd or prime)?
    8·2 answers
  • Please help me!<br> [One Step Inequalities]
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!