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klio [65]
3 years ago
10

The gross federal debt y​ (in trillions of​ dollars) for a certain country in year x is approximated by the following​ equation,

where x is the number of years after 2000. y =1.18x +1.58 In what year will the federal debt be $10.68 trillion?
Mathematics
1 answer:
miskamm [114]3 years ago
3 0

Answer: 2008

Step-by-step explanation:

Given : The gross federal debt y​ (in trillions of​ dollars) for a certain country in year x is approximated by the equation y =1.18x +1.58 , where x is the number of years after 2000.

To find the year in which the federal debt will be $10.68 trillion, we substitute y= 10.68 in the above equation , we get

10.68 =1.18x +1.58\\\\\Rightarrow\ 1.18x=10.68-1.58\\\\\Rightarrow\ 1.18x =9.1\\\\\Rightarrow\ x=\dfrac{9.1}{1.18}=7.7118644067\approx8

The required year will be = 2000+8=2008.

Hence, in 2008  the federal debt will be $10.68 trillion.

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Number 2 i need help
daser333 [38]
The table you drew under the question is exactly the right way to start.

-- Make a second column, next to the 6 and 7.  This column will be
the actual number of each thing.

-- You know that there are 42 marbles, so write '42' in the box
next to the 6, on the 'Marbles' line.
Now you need to figure out what to write in the 'Stones' line, next to the 7. 

--  Look at the 'Marbles' line.  There's a 6 and then a 42.
Ask yourself: "  Self !  What does the 6 have to be multiplied with to get 42 ?" 

-- Whatever the answer is, drop down to the 'Stones' line,
and multiply the 7 by the same number.
The product is the total number of stones, and it goes in the box.
.
.
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(The mystery number is 7.  There are 49 stones.)
6 0
3 years ago
Can someone please help me with these math problems ​
yuradex [85]

Answer: 138

Step-by-step explanation:

5 0
3 years ago
Is this the correct answer?
Llana [10]

Answer: Choice A) An economic theory that is shared by the discipline of Psychology

Through the research I've found so far, the articles mention that economic choices have a psychological link. This is because economics is basically the study of human psychology (more or less) in terms of how to allocate resources and how best to use them. The law of diminishing marginal utility is basically the idea where the concept "more is always better" is simply not true. An example would be that you are at a restaurant and there's an endless buffet. The food isn't infinite and neither is the capacity of your stomach. After a certain point, you'll find that eating another burger isn't as satisfying as eating the first few burgers. You can think of it as a graph where the curve may start with a sharp increase, but eventually it levels off.

Side note: The term "affective habituation" may be used in psychology textbooks as something very similar to the law of diminishing marginal utility.

4 0
3 years ago
The table below shows the scores of a group of students on a 10-point quiz.Test ScoreFrequency3 54 15 16 27 28 49 310 1The mean
Katarina [22]

Explanation

Part A

We can use the formula below to find the mean.

\text{Mean}=\sum ^{}_{}(\frac{fx}{f})

We will then have;

\begin{gathered} \text{Mean = }\frac{5\times3+4\times1+5\times1+6\times2+7\times2+8\times4+9\times3+10\times1}{19}=\frac{15+4+5+12+14+32+27+10}{19} \\ =\frac{119}{19}=6.2632 \end{gathered}

Mean = 6.2632

Part B

Since the data set is odd.

\begin{gathered} \text{Median}=\frac{(n+1)}{2}^{th}\text{observation} \\ =\text{Value of }\frac{\text{(19+1)}}{2}^{th}\text{observation} \\ =\text{value of 10th observation} \end{gathered}

Answer: From the column of cumulative frequency cf, the median is 7

5 0
1 year ago
A number greater than 40 whose prime factorization contains 3 prime numbers that do not repeat
Tomtit [17]
That is true because factors of 40 are 10,5
5 0
2 years ago
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