Answer:
$3098.93
Step-by-step explanation:
We can use the formula for compound growth to solve this. The formula is:

Where
F is the future value (the value at end of 14 years, our answer)
P is the initial amount invested ($1250)
r is the interest rate, in decimal (6.7% is 0.067)
t is the time in years (14, in our case)
<em>Plugging in all the information</em> we have:

The account will accrue $3098.93 after 14 years.
The problem is about converting a decimal into a fraction, and simplify it:
<span>0.40 = 0.4 = four tenths = 4/10 = 2/5
that is the simplest fraction</span>
Answer:
The number of viewers Network A expects will watch their show is 1.4 million viewers.
Step-by-step explanation:
The expected value is calculated by multiplying the possible outcomes by the probability of their occurrence and adding the results
Therefore, we have the expected value given by the following expression;
Estimated network A viewers where network B schedule top show = 1.1 million viewers
Estimated network A viewers where network B schedule a different show = 1.6 million viewers
Probability that Network B will air its top show = 0.4
Probability that Network B will air another show = 0.6
We therefore have;
Expected value, E of Network A viewers is therefore;
E = 1.1 × 0.4 + 1.6 × 0.6 = 0.44 + 0.96 = 1.4 million viewers.
Network A expects 1.4 million viewers will watch their show.
10/100=0.1
1/4=0.25
0.1*0.25=0.025
The tangent to
at the point (0, 5) has a slope equal to the derivative evaluated at
.

This tangent passes through the point (0, 5), so its equation is

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
