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AURORKA [14]
2 years ago
11

Natasha had a $922.93 balance on her credit card at the beginning of September. Her credit card has an APR of 9.89%, compounded

monthly, and a minimum monthly payment of 3.08% of the total balance. The following table shows Natasha’s credit card purchases over the next two months.
Mathematics
1 answer:
avanturin [10]2 years ago
5 0

Answer:

C

Step-by-step explanation:

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Ramona's backyard is fenced and represented by parallelogram YARD with measures in meters. She installed a 12-meters fence to se
Alisiya [41]
The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:

hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2


we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2

lets expand:
144 = x^2 + 225 - 30y + y^2

substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m

substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence



3 0
2 years ago
What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?
RideAnS [48]

Answer:

Step-by-step explanation:

Three step process.

Step 1, convert Q, R, P, and S to coordinates measured from point P rather than from the origin by subtracting P from each point:

Q' = Q-P = (-3-(-3),2-(-3)) = (0,5)

R' = R-P = (1-(-3),2-(-3)) =(4,5)

P' = P-P = (-3-(-3),-3-(-3)) =(0,0)

S' = S-P = (1-(-3),-3-(-3)) = (4,0)

Step 2, Apply the dilation factor (0.5):

Q'' = (0.5)Q' = (0.5*0, 0.5*5) = (0,2.5)

R'' = (0.5)R' = _____

P''= (0.5)P' = _____

S''= (0.5)S' = _____

Step 3, Convert coordinates back to the origin (vice point P) by adding P to each point.  These are the dilated points.

Q''' = Q'' + P = (0+(-3),2.5+(-3)) = (-3, -0.5)

R''' = R'' + P = _____

P''' = P'' + P = _____

S''' = S'' + P = _____

6 0
2 years ago
8(5021)(3054)+(-8)(-5021)(-3054)+3
kifflom [539]

Answer:

3

Step-by-step explanation:

first two terms cancel eachother out!

5 0
2 years ago
Read 2 more answers
Count by fives from 135 to 175. Write these numbers and describe the pattern.
madam [21]
140,145,150,155,160,165,175 your adding five to get the next answer
7 0
2 years ago
Read 2 more answers
Find the missing number in this proportion 10/15=?/21
Svetach [21]

Answer:

x = 14

Step-by-step explanation:

Using cross products

10          x

----- = --------------

15             21

10*21 = 15x

210 = 15x

Divide each side by 15

210/15 =x

14 =x

4 0
2 years ago
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