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Aneli [31]
3 years ago
9

Parallelogram JKLM is shown on the coordinate plane below:

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0
A 270° counterclockwise rotation leads to this transformation:

(x,y) → (y, - x)

So, we have

original point        new point

J (-6,2)           →     J' (2,6)

K (-4,6)          →     K' (6,4)

L (-3,3)          →      L' (3,3)

M (-5,-1)        →      M' (-1,5)

So, you have the points J', K', L', and M' that define the new parallelogram.

Answer: The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).



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Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
vredina [299]

Answer:

  • value: $66,184.15
  • interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

  FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

  FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

  FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

<h3>a) </h3>

The future value of the annuity due is $66,184.15.

<h3>b)</h3>

The total interest earned is the difference between the total of deposits and the future value:

  $66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0
2 years ago
A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost
oksian1 [2.3K]
It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.

I know this hold true because when we multiply $2.50 by 2, we get $5, and add that to the other $5 from the chocolate chips and we will get $10. We can also multiply $2.50 by 8 and add $3 from chocolate chips to get $20 + $3, or $23.
8 0
3 years ago
Read 2 more answers
Please explain how you got this answer.
Tema [17]
150 times

out of the first 5 cards, there is a 3/5 chance of drawing a yellow.
if you replace the card and draw again, you still have a 3/5 chance of drawing a yellow card.
keep doing this process for 250 draws, each draw will always have 3/5 chance of drawing a yellow card.

so 3/5 +3/5 +3/5 +...  (250 times) = 250 x 3/5 = 150

3 0
3 years ago
A plate of vegetables and white rice. jace is a vegetarian, eating at a local restaurant. he chooses a grilled tofu salad that i
allsm [11]
Answer is to ask for brown rice instead of white rice.

Reason is brown rice is less refined and has more fiber to help you stay full and it has a lower GI index.

❌ he can ask for the tomatoes to be left out (tomatoes are healthy and good for you).
✅ he can ask for brown rice instead of white rice.
❌ he can ask for his tofu to be fried instead of grilled (fried is not healthier)
❌he can ask for fewer sprouts, peas, and cucumbers. (These are good for you)


8 0
2 years ago
Bridgette bought 1 pack of white T-shirts and 5 packs of blue T-shirts for her basketball team. The white T-shirts come in packs
irakobra [83]
<h3>Answer:  32</h3>

Work Shown:

1 pack of white = 2 shirts = A

1 pack of blue = 6 shirts

5 packs of blue = 5*6 = 30 shirts = B

A+B = 2 white shirts + 30 blue shirts = 32 shirts total

5 0
2 years ago
Read 2 more answers
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