Mark owes sally 85.00$ he finds 14 friends to help him pay her back. How much does each friend need to pay? (This includes mark)
Counting principle
Multiply 11 * 9 * 3 * 7 = 2079
The number of bats that there would be in 2021 would be 768,000.
<h3>What would be the number of bats in 2021?</h3>
The formula that can be used to determine the future value of bats in 2021 is:
FV = P (1 + r)^n
Where:
- FV = Future value
- P = Present value = 3000
- R = interest rate = 300%
3000(1 + 3)^4
3000 x 4^4 = 768,000
To learn more about future value, please check: brainly.com/question/18760477
Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.
![x = \sqrt{3^2 + 6^2}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B3%5E2%20%2B%206%5E2%7D)
Evaluate the exponents
![x = \sqrt{9 + 36}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B9%20%2B%2036%7D)
Evaluate the sum
![x = \sqrt{45}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B45%7D)
Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.
![\tan(\theta) = \frac 36](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29%20%3D%20%5Cfrac%2036)
Evaluate the quotient
![\tan(\theta) = 0.5](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29%20%3D%200.5)
Take the arc tan of both sides
![\theta = \tan^{_1}(0.5)](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Ctan%5E%7B_1%7D%280.5%29)
Evaluate
![\theta = 27](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2027)
Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
brainly.com/question/4931057
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