Applying and analysing exponential and logarithmic functions

Find the area of the triangle given (BH/2):

B = 3b²

H = 12p⁷b¹⁹

• 18b²¹p⁷

• 18b⁷p²¹

• 36b²¹p⁷

• 36b³⁸p⁷

What formula would I use in the following scenario?

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• y= a (1 - r)^t

• y= a (1 + r)^t

Which of the following choices represents the missing exponent (n)?

 $7^2\cdot7^n=7^8$  

• 0

• 2

• 4

• 6

Problem #11

WHAT IF? In Example 2, the growth rate of Plant A is 0.5 inch per month. After how many months x are the plants the same height?

___ months

 $y\ =\ 50\left(.45\right)^{t\ }$  represents 

• growth 

• decay 

• quadratic 

• linear 

The population of Alaskan bowhead whales was 770 in 2015. It is estimated to increase by 8% each year due to new hunting restrictions. In what year would the population first be more than 2,000 whales?

• 2028

• 2094

• 2442

• 2024

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 2000? 

• 10000
• 8600
• 9164
• 6191

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance? The formula for continuously compounding interest is A = Pe^rt.

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

For #6, how much did you earn in Account C?

A lasagna removed from the oven has a temperature of 420°F. It is left sitting in a room that has a temperature of 70°F. After 6 ​minutes, the temperature of the lasagna is 310°F. Use​ Newton's Law of Cooling to find a model for the temperature of the​ lasagna, T, after t minutes.

 $T=C+\left(T_0-C\right)e^{kt\ }$  

•  $T=70+305e^{-0.0599t}$  

•  $T=70+350e^{-0.0629t}$  

•  $T=310+350e^{-0.0629t}$  

•  $T=70+240e^{-0.0599t}$