Carl is the beneficiary of a $29,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 7-year period in equal installments at the end of each year. If the fund earns interest at the rate of 4%/year compounded annually, what amount will he receive each year?

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality

Answer: I put 50,000 ft^3

Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor

Answer:

0.500

Step-by-step explanation:

Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

Answer:

the answer is 45 I believe because it is the same exact as j

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made.  Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation  6c - 2.4.  Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8.  We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8.  Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2  

Answer:

12.08

Step-by-step explanation:

the easiest way to answer this is to set it up in this equation:

15.1/100 = x/80

in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08

15.1% of 80 is equal to 12.08.

A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.

The abbreviations like 'pct' or 'pc' are also used to denote percentage.

Percentage is a dimensionless quantity as they have no dimensions.

Here we have to find the percentage 15.1% of 80.

The percentage of any number can be computed by dividing the number with whole and then multiply with 100.

To compute the percentage value to the original number, we use the reverse process.

15.1% of 80 = 15.1% × 80

                   = (15.1/100) × 80

                   = 0.151 × 80

                   = 12.08

Hence we got the value of 15.1% of 80 as equal to 12.08.

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Answer:

-5+2

Step-by-step explanation:

Answer:

I would say 6 cm too, also can anyone help me on my math? its powers and exponents

Answer:

r u stu ped

Step-by-step explanation:

stu ped

Answer:

9 rectangles

Step-by-step explanation:

two squares form a rectangle.

18 ÷ 2 = 9

Answer:

its 16

Step-by-step explanation:

Answer:

teal, red, purple are the correct answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

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Answer:

0.99998412723

Step-by-step explanation:

basically i divided 252 by 252.004 and got 0.99998412723 so 252.004 times 0.99998412723 equals 252

I hope this helps!

Answer:

no,

Step-by-step explanation:

The reason for this is because if you were to take away the 4 at the end of both 0's you could easily just multiply by 1 but due to the 4, you can multiply anything to get 252

Answer:

b

Step-by-step explanation:

Answer:

2.5 feet

Step-by-step explanation:

20/8=2.5

Yesterday afternoon, Anne asked me to allow her to use the little table in our shared room twice a week in the afternoons, from four o’clock till half past five. Probably because nearly every other spot in the home is taken. It may have been a reasonable request but she is but a child, a child with no respect for her elders, I need that desk. So I told her no just no, and that bad-tempered child refused to be put off like that. I tried to send her away, telling her that “I have to work too, if I can’t work in the afternoons, then there is no time left for me at all. I must finish my task, otherwise I’ve started it all for nothing. Anyway, you don’t work seriously at anything. Your mythology, now just what kind of work is that, knitting and reading are not work either. I am at the table and shall stay there” Her reply was:

  “Mr. Dussel, I do work seriously and there is nowhere else for me to work in the afternoons. I beg of you to kindly reconsider my request.”  

  With these words the offended Anne turned her back on this very learned doctor, Ignoring me completely. She looked as though she was seething with rage. She will probably go run to her father and tell him how horrible her roommate is. That insulinant child!  

   Later that day the girl came to me after the dishes were done and started more unneeded drama telling me “Mr. Dussel, I don’t suppose you see any point in discussing the matter anymore, but I must ask you to do so” How relentless! I could not just let her get away with this” Maybe if I tried just playing nice she would be put in her place, so I put on my best smile a replied. “I am always, and at all times, prepared to discuss this matter, but it has already been settled.”

   She kept on talking about how unfair I was saying “When you first came here we arranged that this room should be for both of us; if we were to divide it fairly, you would have the morning and I all the afternoon! But I don’t even ask that much, and I think my two afternoons are really perfectly reasonable.” At this I jumped up outraged feeling as though someone stuck a needle in me. How dare she the ungrateful child! “You can’t talk about your rights here at all. And Where am I to go then? I shall ask Mr. Van Daan whether he will build a little compartment in the attic, then I can go and sit there. I simply can’t work anywhere. With you one always gets in trouble. If your sister Margot, who after all has more reason to ask such a thing, would have come to me with the same questions, I should not think of refusing, but you…” She attempted to show emotion on her face but I could tell she was hurt but I continued “But you one simply can’t talk to you. You are so outrageously selfish, as long as you get what you want, you don’t mind pushing everyone else to one side, I’ve never seen such a child. But after all, I suppose I shall be obliged to give you your own way, because I shall be told later on that Anne Frank failed her exam because Mr. Dussel would not give up the table for her.”

  At one moment she looked as though she wanted to smack me. When I had finally stopped talking and left the room I could hear her rush away, probably to run to her father whining about how horrible I am.

I was right, her father came to me when I was about to take my turn in the bathroom. We talked for nearly two hours about if Anne deserved to sit at the table. Me and Mr. Frank had already had this discussion before and he had agreed with me, but now because of the wretched child we had to have the whole conversation again. That little brat spoke to me as if I was an intruder who tried to monopolize everything, but of course her father made her out to be a perfect angel who just spoke her mind nicely.

 I finally gave in and allowed her to use the table twice a week. I don’t see that girl ever maturing and acting like a young lady.

Wish me luck dealing with that girl, Dussel

Answer:

COEFFICENT

Step-by-step explanation:

Answer:

You will have $1314.27

Step-by-step explanation:

A=1200(1+2.3/100)^4

A=1200(1.0952)

A=$1314.27

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

Answer:

-51

Step-by-step explanation:

3-24+72=0

75-24=0

51=0

Answer:

All below

Step-by-step explanation:

A. 8.50+2.25x is greater than or equal to $30.00

B. X=number of piece of race track

C. 9

Answer:

Wheres the rest of the question

Step-by-step explanation:

Answer:

You need to show the picture so we can help you with all due respect

Step-by-step explanation:

Answer:5a^2 + 6ab + 2b^2

Step-by-step explanation:

Answer:

i don't know if this helps

Answer:

2 5/6 below (2 feet and five-sixth)

Step-by-step explanation:

I can explain in comments

Answer: 23

Hope that helps!

Answer:

23 :)

Step-by-step explanation: