Question

157
Exponential and Logarithmic Equations and Functions
cain be
10. On a college campus of 10,000 students, a single student returned to campus
infected by a disease. The spread of the disease through the student body is
given by)
10000
f(t) =
1 + 9999e-0.99
where y is the total number infected at time t (in days)
.oqrao)
a) How many are infected after 4 days?
b) The school will shut down if 50% of the students are ill. During what
day will it close?
S?
nded

Answer 1

Answer:

Suppose that a stock’s price is rising at the rate of 7% per year, and that it continues to increase at this rate. If the value of one share of this stock is $43 now, find the value of one share of this stock three years from now.

Solution

Let y = the value of the stock after t years: y=abt

The problem tells us that a = 43 and r = 0.07, so b=1+r=1+0.07=1.07

Therefore, function is y=43(1.07)t .

In this case we know that t = 3 years, and we need to evaluate y when t = 3.

At the end of 3 years, the value of this one share of this stock will be

y=43(1.07)3=$52

Answer 2

Answer:

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