Apride of lions is growing at a rate of 0.5% per year, compounded continuously. if the growth rate continues, how many years will it take for the size of the pride to reach 275% of its current size? round your answer up to the nearest whole number, and do not include units.

Step-by-step explanation:

The general formula for continuous exponential growth is A=A0•ert, where A0 is the initial amount, t is the elapsed time, and r is the rate of growth or decay. For this problem, r=0.005, so the formula is A=A0•e0.005t.

Since we want to know how long it takes of the amount to be 275% of the original amount, we can state that A=2.75A0. Substituting that into our formula gives us 2.75A0=A0•e0.005t. Dividing by A0 yields 2.75=e0.005t.

At this point we need to take the natural logarithm of both sides:

ln(2.75)=ln(e0005t)

ln(2.75)=0.005t

t=ln(2.75)/0.005, which is approximately equal to 202.3

We round up to 203 years.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.