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Dmitry_Shevchenko [17]
2 years ago
5

The Strike Zone Battling Center provides cages for baseball players to perfect their swing. The patron pays a fixed rate of $12.

75 for the first 45 minutes, pay an additional $0.35 for up to two hours and $0.25 per minute for any additional time over two hours. The following function is used to compute the overall cost for a patron.
where x is the amount of time in minutes spent battling at the Strike Zone. How much would you pay for 115 minutes?
Mathematics
1 answer:
lukranit [14]2 years ago
3 0

$37.25 must be payed for the total time of 115 minutes.

<u>Step-by-step explanation:</u>

  • The cost for 1st 45 minutes = $12.75
  • The cost per minute for additional 2 hours = $0.35
  • The cost per minute for additional time after 2 hours = $0.25

x be the total time spent in minutes,

It is given that the total time spent, x = 115 minutes.

<u>To find the cost to pay for 115 minutes :</u>

The first 45 minutes out of 115 minutes should be payed $12.75

Therefore, the remaining minutes is 115 - 45 = 70 minutes.

The additional 2 hours (120 minutes) should be payed $0.35 per minutes.

But, in this case the additional time is only 70 minutes.

⇒ 70 × 0.35

⇒ $24.5

The total amount to be payed for 115 minutes = $12.75 + $24.5

⇒ $37.25

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Answer:

Step-by-step explanation:

x = number of pounds

5x<30

x<30/5

so she can buy X<6 pounds

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Which triangle pairs are not necessarily congruent? Select all that apply:
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Step-by-step explanation:

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3 years ago
Use Stokes' Theorem to evaluate
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-\frac{17}{20}

Step-by-step explanation:

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san4es73 [151]
I think the answer will be $225.50
6 0
3 years ago
Please Help!!!!<br> Will mark brainliest. Thank you so much for your help
matrenka [14]

Answer:

a)

y=400(2.5)^{x}

b)

3,814,698

c)

16.08 weeks

Step-by-step explanation:

a)

The question presented here is similar to a compound interest problem. We are informed that there are 400 rice weevils at the beginning of the study. In a compound interest problem this value would be our Principal.

P = 400

Moreover, the population is expected to grow at a rate of 150% every week. This is equivalent to a rate of interest in a compound interest problem.

r = 150% = 1.5

The compound interest formula is given as;

A=P(1+r)^{n}

We let y be the weevil population in any given week x. The formula that can be used to predict the weevil population is thus;

y=400(1+1.5)^{x}\\\\y=400(2.5)^{x}

b)

The weevil population 10 weeks after the beginning of the study is simply the value of y when x = 10. We substitute x with 10 in the equation obtained from a) above;

y=400(2.5)^{10}\\\\y=3814697.3

Therefore, the weevil population 10 weeks after the beginning of the study is approximately 3,814,698

c)

We are simply required to determine the value of x when y is

1,000,000,000

Substitute y with 1,000,000,000 in the equation obtained in a) above and solve for x;

1000000000=400(2.5)^{x}\\\\2.5^{x}=2500000\\\\xln(2.5)=ln(2500000)\\\\x=\frac{ln(2500000}{ln(2.5)}=16.0776

8 0
3 years ago
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