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damaskus [11]
3 years ago
15

Math question please help

Mathematics
2 answers:
Brums [2.3K]3 years ago
4 0
<h3>You add $25,000 and $3,500 .</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3 /><h3>~~</h3><h3 /><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3 /><h3>~</h3><h3>~</h3><h3 /><h3>~</h3><h3>~~</h3><h3 /><h3>~</h3><h3 /><h3>~</h3><h3>~~~~</h3><h3 /><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3 /><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3 /><h3>~</h3><h3>~</h3><h3>~</h3><h3 /><h3>~</h3><h3>~</h3><h3>~</h3><h3>~</h3><h3 /><h3>~</h3><h3>~</h3><h3>Hope this wasted your time!</h3>
solong [7]3 years ago
3 0
You add $25,000 and $3,500
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A cable television compan is laying cable in an area with underground utilities. Two subdivisions are located on opposite sides
Schach [20]

Answer:

Step-by-step explanation:

Given:

Point Q = Q is on the north bank 1200 m east of P $40/m to lay cable underground and $80/m way to lay the cable.

Lets denote T be a point on north bank, therefore, point T is t m east and 100m north of P.

Note that 0 < t < 1200

Distance from P to T using Pythagoras theorem:

PT^2 = PQ^2 + QT^2

PT = √(t²+100²) = √(t²+10,000)

Distance from T to Q:

TQ = 1200 - t

From above, Cable from P to T is underwater, and costs $80/m to lay.

Cable from T to Q is underground, and costs $40/m to lay.

Total cost of the cable:

C(t) = 80√(t²+10,000) + 40(1200 - t)

Cost is at its minimum: when dC/dt = C'(t) = 0 and d^2C/dt^2 = C''(t) > 0

dC/dt = C'(t)

= 80 * 1/2 (t² + 10,000)^(-1/2) × 2t + 40 × (-1)

dC/dt = C'(t)

= 80t/√(t² + 10,000) - 40 = 0

80t/√(t² + 10,000) = 40

80t = 40√(t² + 10,000)

2t = √(t² + 10,000)

square both sides:

4t² = t² + 10,000

3t² = 10,000

t² = 10,000/3

t = 100/√3

≈ 57.735

d^2C/dt^2 =

C''(t) = [80√(t² + 10,000) - 80t × t/√(t²+10,000)] /√(t²+10,000)

C''(t) = [(80(t²+10,000) - 80t²) / √(t²+10,000)] /√(t²+10,000)

C''(t) = 800,000 / (t² + 10,000)^(3/2)

C''(t) > 0 for all t

Therefore C(t) is minimized at t = 100/√3

C(100/√3) = 80√(10,000/3 + 10,000) + 40 × (1200 - 100/√3)

= 80 √(40,000/3) + 48,000 - 4000/√3

= 16000/√3 + 48,000 - 4000/√3

= 48,000 + 12,000/√3

= 48,000 + 4,000√3

= 4000 (12 + √3)

≈ 54,928.20

Minimum cost is $54,928.20

This occurs when cable is laid underwater from point P to point T(57.735 m east and 100m north of P) and then underground from point T to point Q (1200 - 57.735)

= 1142.265 m

5 0
3 years ago
John joined a gym for 6 months. He pays 20$ per month plus a membership fee. If his bill is 150$, what was the membership fee?
Jlenok [28]

Answer:

Step-by-step explanation:

If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.

150-120= $30

His membership fee was $30.

Hope this helps!

Mark Brainliest plz!

3 0
3 years ago
Read 2 more answers
The function f(x) = 1.50x + 12.50 relates how much kelsey pays for digital service, f(x), to the number of movies, x, she stream
Brums [2.3K]

f(18) = 39.50

This gives the monthly cost Kelsey will pay if she streams 18 movies in a month

Step-by-step explanation:

Given function is:

f(x) = 1.50x+12.50

Here x is the number of movies

so for f(18), this means that the total number of movies will be 18

Solving

f(18) = 1.50(18)+12.50\\f(18) = 27+12.50\\f(18) = 39.50

Hence,

f(18) = 39.50

This gives the monthly cost Kelsey will pay if she streams 18 movies in a month

Keywords: functions, Domain,range

Learn more about functions at:

  • brainly.com/question/4021035
  • brainly.com/question/4034547

#LearnwithBrainly

6 0
3 years ago
Can someone do question 13 please
Artyom0805 [142]

Answer:

A = 4/7

B = 2/3

C = 2/5

Step-by-step explanation:

It's Easy.

8 0
3 years ago
Read 2 more answers
The whole sales price for a chair is $165. A certain furniture store marks up the wholesalers price by 15%. Find the price of th
vichka [17]

Answer:

$189.75

Step-by-step explanation:

Whenever you want to find the percent of something, you need to turn the percent into a decimal. In this case, we need to find 115% of the wholesale price because there is a markup, so the cost will be higher.

115% as a decimal is 1.15. Here is how the equation will be set up:

$165 • 1.15 = $189.75

No rounding is necessary for this problem because it is already to the nearest cent.

4 0
3 years ago
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