Answer:
37.20 %
Step-by-step explanation:
Circumference = 2 × pi × r
30 = 2 × 3.14 × r
r = 4.7770700637
Area of her face = pi × r²
3.14 × 4.7770700637²
= 71.6560509556 in²
Area of the mask = 9 × 5 = 45 in²
Uncovered area
= 71.6560509556 - 45
= 26.6560509556 units²
% of uncovered area:
26.6560509556/71.6560509556 × 100
37.2%
The capital formation of the investment function over a given period is the
accumulated capital for the period.
- (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.
- (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.
Reasons:
(a) The given investment function is presented as follows;

(a) The capital formation is given as follows;

From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
![\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Cmathbf%7B%5Cleft%5B1000%20%5Ccdot%20%20e%5E%7B0.1%20%5Ccdot%20t%7D%7D%20%2B%20C%20%5Cright%5D%5Et_0%7D%20%3D%20100%2C000)
Which gives;




The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.
Learn more investment function here:
brainly.com/question/25300925
Answer:
1/14
Step-by-step explanation:
1 - 5/7 = 7/7 - 5/7 = (7-5)/7
Subtract. 7 - 5 = 2
= 2/7
Now we have to multiply 2/7 and 1/4
We get 2/7 x 1/4 = <em>1/14</em>
In case of dogs the value 10 is the minimum value. So all the values lie above 10. In total there were 100 dogs.
So for dogs, we can say number of dogs above the value of 10 pound are 100.
In case of Cats, 10 lies at the position of median. Median is the central value and 50% values lie above the median value. So number of cats with weight above 10 pound is 50.
Thus, we can conclude that there were 50 more dogs than the cats with weight over 10 pounds. So option C gives the correct answer.
Answer:
Dear we can't give you an answer without the options.
Step-by-step explanation:
ratios that are equivalent to 6:9 are however
2:3, 6:9, 12:18, 18:27, 24:36, 30:45 I believe.