Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula
A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years
Divide both sides by 300
take 'ln' on both sides
ln(3) = 0.035t ln(e)
ln(e)= 1
t= 31.3889
Round to nearest whole number
t= 31 years
Let A be attendance, t the temperature and n the number of days. Then,
A
A=k
Where k is a constant of proportionality;
If A=3200, T=88 and n=8, then k,
3200=
3200=11k
k=
Rewriting the equation and replacing the value of k,
A=
When t=92 and n=12
The A=
A=
A= 2231
Deb can cut 20 pieces from the board
Answer:
4.5
Step-by-step explanation:
when the height is 0 the ball will hit the ground
so the equation is
-12t²+54t=0
12t²-54t=0
2t²-9t=0
t(2t-9)=0
t=0
t=4.5
so the answer is
4.5
We are tasked to solve for the lateral area of a right circular cone given that the base diameter measurement is 4 meters and the slant height measurement is 15 meters. To solve this problem, we need to use the formula below:
Lateral Area = pi*r (√h²+r²)
where r is half of the diameter measurement such as:
radius = r = diameter / 2
r = 4/2
r = 2 meters
Solving for the lateral area, we have it:
Lateral Area = 3.14*2 (√15²+2²)
Lateral Area = 94 m²
The answer is the letter "C".
