Find the amount in the account for the given principal, interest rate, time, and compounding period. P = $1,000, r = 2.8%. t = 5 years; compounded continuously

Find the amount in the account for the given principal, interest rate, time, and compounding period. P = $16,000, r = 4%, t = 25 years; compounded continuously

Find the amount in the account for the given principal, interest rate, time, and compounding period. P = 1,500, r = 4.5%, t = 3 years; compounded daily

Find the total amount of money in an account at the end of the given time period. continuously compounded, P = $1,500, r = 1.5%, t = 6 years

Write an exponential model given two points. (9, 140) and (10, 250)

Find the amount A accumulated after investing a principal P for t years at interest rate r compounded continuously. $$ P = $1250. r = 5.4% $$ $$ ,t=6 $$

To simulate space travel, NASA's Lewis Research Center in Cleveland uses a 430-foot shaft. The free fall of an object in the shaft takes 5 seconds to travel the 430 feet. Write an integer to represent the change in the height of the object.

Find the total amount of money in the account after the given amount of time. Compounded quarterly, P = $12,000, r = 3.6%, t = 4 years.

Suppose $6,500 is invested in an account that earns interest at a rate of 2$

$$\left. \begin{array} { l } { A = 6500 \left( 1 + \frac { 0.02 } { 12 } \right) ^ { 12 ( 10 ) } } \\ { A = 7937.80 } \end{array} \right.$$

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Write an exponential model given two points. (10, 43) and (11, 67)

Write an exponential model given two points. (3, 54) and (4, 74)

When an automobile air bag deploys, solid sodium azide decomposes rapidly to produce nitrogen gas, and this gas inflates the bag. What is the molar mass of sodium azide $\left(\mathrm{NaN}_3\right)$ ?

A power model is a type of function in the form

$$y = a \cdot x ^ { b }$$

. Use the points (1. 4), (2. 8). (3. 16) and (4. 64) and a calculator to find an exponential model and a power model for the data. Then use each model to predict the value of y when x = 6. Graph the points and models in the same Window What do you notice?

The points (2. 54.61) and (4. 403.48) are points on the graph of an exponential model in the form

$$y = a \cdot e ^ { x }$$

a. Explain how to write the exponential model, and then write the model. b. How can you use the exponential model to find the value of y when x = 8?