The table shown gives the population of a small country, in millions, for the se

ID: 3010820 • Letter: T

Question

The table shown gives the population of a small country, in millions, for the second half of the 20^th century. Assuming the population grows at a rate proportional to its size, use the value for 1960 to predict the population in 1980. Compare your result with the actual value. (b) Use the values for 1960 and 1980 to predict the population in 2000. million.) (c) Use the values for 1980 and 2000 to predict the population in 2000. (d) Using your model from part c, what would you predict the population to be in 2020? the prediction going to be too high or too low? Why? The half-life of a certain element is 30 years. Suppose we have 100-mg sample of the element. (a) Find the mass that remains after t years. (b) How much of the sample remains after 100 years? (c) After how long will only 1mg remain? In a murder investigation, the temperature of 30.3 degree C an hour later. Normal body temperature is 37.0 degree C and the tempera 20.0 degree C. When did the murder take place? If $3000 is invested at 5% interest, find the values of the investment at the end of 5 years if the compounded (a) annually (b) semi-annually (c) monthly (d) weekly (e) daily (f) continuously

Explanation / Answer

Solution 5

we will use below formula for the question-

The formula for annual compound interest is A = P (1 + r/n) ^ nt:

Where:

A = the final value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

(a) Base amount:P= $3,000.00

Interest Rate:r = 5% = 0.05