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GuDViN [60]
3 years ago
10

Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in secon

ds. What is the maximum height of a cabin? Use 3.14 for π
Mathematics
1 answer:
Allisa [31]3 years ago
7 0

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will <em>always </em>be between -1 and 1. That is:

-1\leq \cos(t)\leq 1

So, we can use the two maximums. Testing -1 and 1, we get:

H(t)=-16(1)+24=8

And:

H(t)=-16(-1)+24=40

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

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Penny makes deposits into two separate accounts for 5 years: option A: $800; 6% annual simple interest option B: $800; 6% annual
gtnhenbr [62]

Answer:

A) P = 240

B) P + Po = 1040

C) P = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Step-by-step explanation:

The formula for simple interest is:

P = Po*r*t

Where P is the interest earned, Po is the inicial value, r is the rate of interest and t is the time.

The formula for compound interest is:

P+Po = Po*(1+r)^t

So we have that:

A) P = 800*0.06*5 = 240

B) P + Po = 800 + 240 = 1040

C) P+Po = 800*(1+0.06)^5 = 1070.58 -> P = 1070.58 - 800 = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

5 0
3 years ago
Please answer this question urgent. I’ll<br> Mark brainliest.
scZoUnD [109]

Answer:

Answer 4, the bottom right answer

Step-by-step explanation:

Question was pretty blurry so I had to write it out:

The school Spanish Club is holding a car wash to raise $200 to attend a conference. After spending $10 on supplies, the club will was cars for donations of $4 each.

The situation can be modeled by the inequality 4z-10≥200, which has the solution z≥52.5. What is the best way to interpret this solution?

1. At least 53 members of the Spanish Club must volunteer to help at the car wash.

2. The Spanish Club should have spent at least $52.50 on supplies.

3. The Spanish Club needs $52.50 more to meet its goal.

4. The Spanish Club must wash at least 53 cars to meet its goal.

The answer would be 4, because the inequality is saying 4 dollars times the number of cars minus 10 dollars (for supplies) has to be greater than or equal to their goal of 200 dollars they want to raise.

Another way to explain: The 4z would represent how much money they would make for all the cars they wash, but they have to subtract 10 dollars for the supplies. This total has to be equal to or more than their goal of 200 dollars.

7 0
2 years ago
Solve: 75(7-3)<br>with work shown​
anzhelika [568]

Answer:

300 is the solution

Step-by-step explanation:

use the distributive property

75 * 7 = 525

75 * -3 = -225

put em together

525 - 225 = 300

4 0
3 years ago
Read 2 more answers
Is this relation a function?
AleksandrR [38]
Yes the relation is a function
4 0
3 years ago
To find 45% of 72, multiply 45/100×72.
dedylja [7]

You can also just multiply by the decimal equivalent.

12*.35=4.2

35% of 12 is 4.2

Hope this helps!

7 0
3 years ago
Read 2 more answers
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