You have accumulated $85,000 in student loans that average 5% interest. You graduate next month and will be paying off the loans over 10 years. Which of the following is most likely to be your monthly payment assuming you pay interest and a portion of the principal each month? a) $37 b) $900 c) $117,500 d) $175,000
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Allie bought 8.75 yards of rope from Lowe's. The rope cost $2.49 per yard. What was the total cost of her rope to the nearest cent.
What number complete the square x^2 +\- bx
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he earn: 0.25*1440*12=4320
[because he sells 0.25/each and buy 1440 dozen so 1440*12]
4320-3600=720
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Answer:
ABCD is not a parallelogram
Step-by-step explanation:
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
We have to find the length of the sides of the parallelogram using the formula below
= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)
For side AB
A(-3,2) B(-3,3)
= √(-3 -(-3))² + (3 -2)²
= √0² + 1²
= √1
= 1 unit
For side BC
B(-3,3) C (5,-3)
= √(5 -(-3))² + (-3 -3)²
= √8² + -6²
= √64 + 36
= √100
= 10 units
For side CD
C (5,-3) D (-1.-5)
= √(-1 - 5)² + (-5 - (-3))²
= √-6² + -2²
= √36 + 4
= √40 units
For sides AD
A(-3,2) D (-1.-5)
= √(-1 - (-3))² + (-5 -2)²
= √(2² + -7²)
= √(4 + 49)
= √53 units
A parallelogram is a quadrilateral with it's opposite sides equal
From the above calculation
Side AB ≠ CD
BC ≠ AD
Therefore, ABCD is not a parallelogram
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and it took about 2 feet of screen. Then I realized there was a totally bourgeois but
easy way to do it. For 5 points, I'll give you the method for the masses:
List all the possible pairs of digits that add up to 9, along with their flips:
18 . . . . . 81
27 . . . . . 72
36 . . . . . 63
45 . . . . . 54
Do you see any pair that are different by 27 ?
How about 36 and 63 ?
So the original number is 63, and when you flip it, it becomes 36, which is 27 less.
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If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.
The multiplier for increasing by 25% is:
(100 + 25) ÷ 100 = 1.25
So on day one, there are 64 responses. That means on day two, there will be:
---> 64 x 1.25 = 80 responses
On day 3, there will be:
---> 80 x 1.25 = 100 responses
Finally, on day 4, there will be:
---> 100 x 1.25 = 125 responses
A quicker way of getting this would be to do:
64 x 1.25³ since you are multiplying by 1.25 3 times
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Answer:
125 responses
Answer:
125
Step-by-step explanation:
meh . . .
13.5
15
14
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Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:
To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3
That means x = 15
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Answer:
12
Step-by-step explanation:
When you count the units it's 3, but because the scale factor is 4, you have to multiply it by that. 3 times 4 is 12.