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1 year ago

Omar, Amare, and Jack paid a total of $68.25 for dinner and tickets to a concert. The concert

Mathematics

2 answers:

Andrews [41]1 year ago

8 0

Answer: I’m having problems to

Step-by-step explanation:

Marina86 [1]1 year ago

4 0

Answer: $13

Step-by-step explanation:

To determine the solution arithmetically in two steps, first divide 68.25 by 3 and then subtract 9.75 from the result. To determine the solution algebraically, set up and solve the equation 3(x+9.75)=68.25. Each friend paid $13 for dinner.

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Quadrilateral A’B’C’D’ is a dilation of quadrilateral ABCD about point P. Quadrilateral ABCD is shown. Side AB is labeled 5. Sid

Stolb23 [73]

Answer: The correct option is (A) reduction.

Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

$A'B'=1\dfrac{1}{4}=\dfrac{5}{4}~\textup{units},~~B'C'=1~\textup{units},~~C'D'=2\dfrac{1}{2}=\dfrac{5}{2}~\textup{units},\\\\D'A'=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{units}.$

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

$S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=\dfrac{A'B'}{AB}=\dfrac{\frac{5}{4}}{5}=\dfrac{5}{4\times5}=\dfrac{1}{4}$

Since the scale factor is less than 1, so the dilation will be a reduction.

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1 year ago

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Jeanie has $500 to spend on dance lessons. There is a $50 one-time registration fee, and the lessons cost $35 each. How many les

Sindrei [870]

Jeanie can take 12 lessons.

500-50=450
450/35=12.86

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2 years ago

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what is 1608 divided by 268, my answer was 5 but apparently its 6 so please explain why and show work :)

Sever21 [200]

If you multiply 268 with 6, you get 1608 as your answer.

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2 years ago

1. Yejin plans to retire at age 60. She wants to create an annuity fund, which will pay her a monthly allowance of $4000 during

dolphi86 [110]

9514 1404 393

Answer:

$3891.10

Step-by-step explanation:

This question is a bit unusual in that the interest is compounded annually, but payments and withdrawals are made monthly. The effective monthly rate is ...

1.05^(1/12) -1 = 0.407412378% = i

We assume that payments to the annuity are made at the end of the month, and that withdrawals are made at the beginning of the month. (The last payment and the first withdrawal are made on the same day.)

The amount of money required in the fund is ...

A = $4000(1 -(1.00407^-360))/(1 -1.00407^-1) = $757,712.88

The amount of money needed each month to be put into the fund is P, where ...

$757,712.88 = P(1 -1.00407)^(-12(60-28))/(1 -1.00407^-1) = 194.7297P

P = $757,712.88/194.7297 = $3891.10

Yejin needs to save $3891.10 each month to meet her retirement goal.

_____

<em>Sanity check</em>

Yejin wants payments for 30 years from the fund to which she has contributed for 32 years. The similarity of the time periods means that Yejin's monthly contribution will need to be very similar to the amount she plans to withdraw.

The only ways to reduce the required contribution are to earn a higher interest on deposits, or to adjust the relative time periods (retire later).

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1 year ago

Mrs. Piper is driving Anna, Jo, and Mai home from school. All of them want to ride in the front seat. How can she make a fair de

Stels [109]

Answer:

I would say the answers would be A and B. This is because they each get a fair chance.

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2 years ago

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