Data:
P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17
![P = Po - (Po*r*t)](https://tex.z-dn.net/?f=P%20%3D%20Po%20-%20%28Po%2Ar%2At%29)
![P = 81712 -(81712*0,014*17)](https://tex.z-dn.net/?f=P%20%3D%2081712%20-%2881712%2A0%2C014%2A17%29)
![P = 81712 - 56953.264](https://tex.z-dn.net/?f=P%20%3D%2081712%20-%2056953.264)
![P =24758.736](https://tex.z-dn.net/?f=P%20%3D24758.736)
![\boxed{P \approx 24759}](https://tex.z-dn.net/?f=%5Cboxed%7BP%20%5Capprox%2024759%7D)
Answer:
B) 24759
Answer:
a) 72 cm^2
b) 9 cm^2
c) 9 cm^2
d) 60.39 cm^2
Step-by-step explanation:
a) the the length is 12 cm and the width is 6 cm. Area = lw
A=(12)(6)
A=72 cm^2
b) base equals 3 cm
Height equals 6 cm
A=1/2(3)(6)
A= 9 cm^2
c) base = 3 cm
height=6 cm
Area=1/2(3)(6)
A=9 cm^2
d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.
3^2 + 6^2 = x^2
9 + 36 = x^2
45=x^2
✓45 = ✓x^2
x = 6.71 cm
12-3 = 9
now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.
A= 60.39 cm^2
Answer:
The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.
Step-by-step explanation:
Statement is incorrect. Correct form is presented below:
<em>The height </em>
<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>
<em>, where </em>
<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>
We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:
![3+90\cdot t -16\cdot t^{2} = 84](https://tex.z-dn.net/?f=3%2B90%5Ccdot%20t%20-16%5Ccdot%20t%5E%7B2%7D%20%3D%2084)
(1)
By Quadratic Formula:
![t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}](https://tex.z-dn.net/?f=t_%7B1%2C2%7D%20%3D%20%5Cfrac%7B90%5Cpm%20%5Csqrt%7B%28-90%29%5E%7B2%7D-4%5Ccdot%20%2816%29%5Ccdot%20%2881%29%7D%7D%7B2%5Ccdot%20%2816%29%7D)
,
The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.
Answer:
h ≈ 11.9
Step-by-step explanation:
Since the triangle is right we can use the cosine ratio to find h
cos24° =
= ![\frac{h}{13}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B13%7D)
Multiply both sides by 13
13 × cos24° = h
⇒ h = 11.9 cm ( to 1 dec. place )
Answer: Rob ate more crackers.
Symbol answer: 6/12 < 9/12
Step-by-Step explanation:
Common knowledge: Anytime you have the same numerator, with a different denominator, the one with the bigger denominator is always smaller. For example, if had a pizza with 6 slices and a pizza with 4 slices, the one with 6 slices and smaller and the one with 4 slices and bigger. Even though 6>4 that mindset has to change when thinking about a problem like this.
<em>Another explanation: </em>
<em>If you still don’t get it, simply find a common denominator, so we’ll choose 12. Take 3/6 and multiply that by 2/2 so you get 6/12 and then take 3/4 and multiply that by 3/3 on both the (numerator and denominator) and that equals 9/12.</em>
<em>So now you have the expression: 6/12<9/12.</em>