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Viktor [21]
2 years ago
13

Bridget needs an actor actor is offering her services for initial $250 in addition to $40 per day actor beers offering her servi

ces for an initial $160 in addition to $50 per day when will the two actors change the same amount of money
Mathematics
1 answer:
Neporo4naja [7]2 years ago
4 0

Answer:it will take 9 days for both actors to charge the same amount.

Step-by-step explanation:

Let x represent the number of days it will take the cost of hiring either actor A or actor B to be the same.

Let y represent the cost of hiring actor A for x days.

Let z represent the cost of hiring actor B for x days.

Actor A is offering her services for initial $250 in addition to $40 per day. It means that

y = 250 + 40x

Actor B is offering her services for an initial $160 in addition to $50 per day. It means that

z = 160 + 50x

To determined the number of days when both costs would be the same, we would equate equation y to equation z. It becomes

250 + 40x = 160 + 50x

50x - 40x = 250 - 160

10x = 90

x = 90/10 = 9

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A line m is perpendicular to an angle bisector of ∠A. The sides of ∠A intersect this line m at points M and N. Prove that △AMN i
Ray Of Light [21]

Answer:


Step-by-step explanation:

<em><u>Given</u></em><u>:</u>       A line m is perpendicular to the angle bisector of ∠A. We call this  

                 intersecting point as D. Hence, in figure ∠ADM=∠ADN =90°.

                 AD is angle bisector of ∠A. Hence, ∠MAD=∠NAD.

<u><em>To Prove</em></u>:   <em><u>ΔAMN is an isosceles triangle. i.e any two sides in ΔAMN are</u></em>

<em>                    </em><em><u>equal. </u></em>

<em><u>Solution</u></em>:  Now, In ΔADM and ΔADN

                 ∠MAD=∠NAD     ...(1) (∵Given)

                  AD=AD                ...(2) (∵common side)

                  ∠ADM=∠ADN     ...(3) (∵Given)

                  <u><em> Hence, from equation (1),(2),(3) ΔADM ≅ ΔADN</em></u>

                                                         ( ∵ ASA  congruence rule)

                  ⇒<u><em> AM=AN</em></u>

                  Now, In Δ AMN

                 AM=AN (∵ Proved)

                  Hence, ΔAMN is an isosceles  triangle.


7 0
3 years ago
3 Points
jolli1 [7]

Answer:55555

Step-by-step explanation:3 Points

Dawn's credit card has an APR of 15%, calculated on the previous monthly

balance, and a minimum payment of 2%, starting the month after the first

purchase. Her credit card record for the last 7 months is shown in the table

below.

End of

month

Previous

balance

50.00

51700.00

$1687 25

$1674 60

$1662 04

$1649.57

51637 20

New

charges

$1700 00

50.00

50 00

50.00

50.00

Payment

received

$0.00

$34 00

533 75

533 49

$3324

$32.99

$32.74

Finance

charges

50.00

521 25

$21 09

$20.93

$20.78

520 62

$20.46

Principal

paid

$0.00

$12.75

$1265

$12.56

$1247

$12.37

$1228

New

balance

$1700.00

$1687 25

51674 60

S1662 04

$1649 57

S1637 20

S1624 92

50.00

50.00

How much of the initial purchase has Dawn paid off over the 7 months?

Answer:



Step-by-step explanation:



8 0
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Answer:

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Step-by-step explanation:

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