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OleMash [197]
3 years ago
9

Mrs. Sara has $18 deducted yearly from her checking account for her gym membership. What integer represents the change in her ac

count for a year of gym membership?
1.$18
2.$36
3.$180
4.$216
Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

The correct amount is $18

Step-by-step explanation:

The change in her checking account here refers to a reduction in balance due to a deduction made for a gym membership of $18  per year.

Integer, as we know, is a whole number,  not a fraction.

In all fairness, the integer will indicate the change in her checking account due to her gym  membership payment is $18, the first option out of the multiple choices provided

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It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1
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Step-by-step explanation:

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Time taken to cover the distance =4\text{hours} and 15\text{minutes}

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\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}

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3 0
3 years ago
Write a function modeling this debt situation if the initial debt in 2009 was
Karolina [17]

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.

6 0
2 years ago
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