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Katen [24]
3 years ago
12

Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At

a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two.
Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

(60 - 4x)(50 + 2x) = 2,800

Step-by-step explanation:

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Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
3 0
3 years ago
Nishi invests £3200 at 6% interest per year. Work out how much she will have altogether after: 2 years ​
artcher [175]

SI = P×R×T/100

(3200×6×2)/100

= 384

Now 3200 + 384

= Euro 3584

4 0
3 years ago
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