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
On a coordinate plane, 2 lines intersect at (2, 0). The system of equations is shown in the graph. 2x + y = 4, x – y = 2 What is
SSSSS [86.1K]

Answer:

c

Step-by-step explanation:

..

3 0
2 years ago
Read 2 more answers
Points and Brainliest Giveaway!<br><br> What is the simplified form?<br> (2x^2 + 3x) + (4x^2 -7)
nika2105 [10]

Answer:

Explanation:

We can factor the numerator and denominator as;

(

x

−

2

)

(

x

−

1

)

2

x

(

x

−

1

)

We can now cancel common term in the numerator and denominator:

(

x

−

2

)

(

x

−

1

)

2

x

(

x

−

1

)

⇒

x

−

2

2

x

However, we cannot divide by

0

so we must exclude:

2

x

=

0

⇒

x

=

0

and

x

−

1

=

0

⇒

x

1

x

2

−

3

x

+

2

2

x

2

−

2

x

=

x

−

2

2

x

Where:

x

≠

0

and

x

≠

1

Or

x

2

−

3

x

+

2

2

x

2

−

2

x

=

x

2

x

−

2

2

x

=

1

2

−

1

x

Where:

x

≠

0

and

x

≠

1

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find the area of the circle.<br> Use 3.14 for it.<br> O<br> d = 10 cm<br> A = [?] cm2<br> A=Tr2
vazorg [7]

Answer:

i wish i could help. im so bad at math

Step-by-step explanation: good  luck

3 0
2 years ago
What is the value of tanX?<br><br> 8/9<br> 9/8<br> 8/15<br> 15/8
spin [16.1K]
Is this the image? If so, sorry I can't do this lol

6 0
3 years ago
Read 2 more answers
Steven, Lisa and Mark want to buy a pizza. Steven said he could pay twice as much as Lisa. Mark said he could pay the remaining
34kurt

Answer:

$5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The scale factor of the larger prism to the smaller prism is 3/2. How do the volumes compare?
    12·2 answers
  • |6a-5|=4a What are the solutions to a?
    13·1 answer
  • ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
    11·1 answer
  • The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales ra
    15·1 answer
  • What equasion is equivilent to 7(x+4)? PLZZZZZZ
    10·2 answers
  • Find the value of each power 1. 3 to the power of negative 3 2. 4 to the power of 4
    10·1 answer
  • I need help for grades!!!
    12·1 answer
  • Here are the prices of some items and the amount of sales tax changed on each item in Texas. What is the sales tax rate in Texas
    14·1 answer
  • Correct will get brainliest.
    15·2 answers
  • The length of a football field is 120 yards. How long is the football field in feet?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!