Answer:
C. 76.81
Step-by-step explanation:
We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.
Therefore, we must use tan, which is
:
![tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\](https://tex.z-dn.net/?f=tan%20%2816%29%3D%5Cfrac%7B22%7D%7BL%7D%20%5C%5C%5C%5CL%2A%28tan%2816%29%3D22%29%5C%5C%5C%5CL%2Atan%2816%29%3D22%5C%5C)
![\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.](https://tex.z-dn.net/?f=%5Cfrac%7BL%2Atan%2816%29%7D%7Btan%2816%29%7D%3D%5Cfrac%7B22%7D%7Btan%2816%7D%20%20%5C%5C%5C%5CL%3D79.815%3D79.82%20in.)
Answer:
$103.88
Step-by-step explanation:
$98 + 6% is 103.88.
Answer:
FV(p)= PV*(1 + g)^t
Step-by-step explanation:
Giving the following information:
Number of insects (PV)= 1,500
Increase rate= 3 weekly
<u>First, we need to calculate the daily growth rate:</u>
Daily rate (g)= [3^(1/7)] - 1
Daily rate (g)= 0.16993
<u>Now, by using the following formula, we can determine the population p in any given day t:</u>
FV(p)= PV*(1 + g)^t
<u>For, example after 7 days:</u>
FV(p)= 1,500*(1.16993^7)
FV(p)= 4,500
<u>For example, after 10 days:</u>
FV(p)= 1,500*(1.16993^10)
FV(p)= 7,206
Answer:
Number of people that can be served 7 ladles = 100 people
Step-by-step explanation:
We are told that;
Initial number of ladles proposed per person = 5
Number of persons to be fed based on 5 ladles = 140 persons
Thus, amount of ladles based on that data is;
140 people x 5 ladle/1 person = 700 ladles full of soup
Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;
700 ladles ÷ 7 ladles/person = 100 persons