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pychu [463]
3 years ago
13

The total expenditures on benefits​ (in billions of​ dollars) can be approximated by the function h(x)=23.5(1.08)x​, where x​ =

5 corresponds to the year 1995. ​(a) What was the amount for total expenditures in 2011​? ​(b) What was the first full year in which expenditures exceeded ​$110 ​billion?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0
Sorry don’t know but good luck
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How many notebooks do you think it would take to make a stack that is 5 feet high?​
aev [14]

Answer:

There are total 30 books in the 5 feet high stack of books.

Step-by-step explanation:

The complete question is

Given, Each note book is 2 inches thick, How many notebooks do you think it would take to make a stack that is 5 feet high

Solution

Thickness of each book = \frac{2}{12}  = \frac{1}{6}

The total height of the book stack is 5 feet.

The number of books in the stack is equal to total height of the stack divided by the thickness of one book

Number of books in five feet high stack is

\frac{5}{\frac{1}{6} } \\5 * \frac{6}{1} \\30

Hence, there are total 30 books in the 5 feet high stack of books.

4 0
3 years ago
Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm
Ksju [112]

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

6 0
3 years ago
A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is
ivann1987 [24]

Answer: 5/14 which is choice B

================================================

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

------------------

A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0
3 years ago
Read 2 more answers
X^2+y^2=169, 3x+2y=39 please answer using substitution and each step
Oksanka [162]

Answer:

x=13,y=0

Step-by-step explanation:

We are given a system of equations

{x}^{2}  +  {y}^{2}  = 169 -  - eqn \: 1 \\ 3x + 2y = 39 -  - eqn \: 2

For equation 1,square all terms to reduce it

√x²+√y²=169

x+y=13

Make x the subject as required by the question to use substitution method

x=13-y

Plug x=13-y into eqn 2

3(13-y)+2y=39

39-3y+2y=39

39-y=39

y=39-39=0

Plug y=0 into equation 1

x+0=13

x=0

7 0
2 years ago
Felicity babysat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Felicity wants to calculate her hourl
Virty [35]

Answer:

$9 a hour.

Step-by-step explanation:

2 hours for 10 nights, In total felicity worked for 20 hours.

To hind the hourly rate you would take your number of hours worked ( 20)

and divide it by 180 to see how much felicity got paid for one hour.

<u>180 </u>

<u>20</u>

<u>After dividing you will get the answer 9.</u>

<u />

4 0
3 years ago
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