The correct option is: B. ![25000=5000(1.043)^t](https://tex.z-dn.net/?f=25000%3D5000%281.043%29%5Et)
<u><em>Explanation</em></u>
<u>The general form of growth equation</u> is:
, where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration
Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.
That means, ![A= 25000 , P= 5000, r= 4.3\% = 0.043](https://tex.z-dn.net/?f=A%3D%2025000%20%2C%20P%3D%205000%2C%20r%3D%204.3%5C%25%20%3D%200.043)
Now <u>plugging these values into the above equation</u>, we will get......
![25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t](https://tex.z-dn.net/?f=25000%3D5000%281%2B0.043%29%5Et%5C%5C%20%5C%5C%2025000%3D5000%281.043%29%5Et)
So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be: ![25000=5000(1.043)^t](https://tex.z-dn.net/?f=25000%3D5000%281.043%29%5Et)
Answer:
We can find the radius from circumference and then area
Circumference(C) = 2πr
r = C/2π
r = 20/2π
r = 10/π
Area = πr²
Area = π × 10/π × 10/π
Area = 100/π
Area = 100/3.14
Area = 10000/314 = 31.84 cm² (approx)
Area = 32 cm² (Rounding to nearest whole number)
Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.
So let x=the number of small cards sold, and 2.5x=the number of large cards sold
The equation is:Total profit=x+(2.5x)
Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:
10,000=2.5x+4(2.5x)
We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.
So he needs to sell 800 small cards.
Multiply that by that 2.5.
And he needs to sell 2000 large cards.
Answer:
Yes you are correct.
Step-by-step explanation:
The correct answer is 6/7.