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Algebra II

The following table shows the tuition for a semester at CBU in dollars for years since 1990.

Year CBU Tuition

2 3995

5 5000

8 6200

11 7450

14 8855

17 10420

20 12160

A scatter plot for the data and a graph of a linear model in black and a quadratic model in red follows.

3691215182140005000600070008000900010000110001200013000

Use the above scatter plot to decide which model better fits the data.

none

quadratic

linear

Let C(t)C(t) be the cost of tuition at CBU in dollars for t years since 1990.
A quadratic model for the data is
C(t)C(t) = .
Use three decimals in your answer.

Estimate the tuition in 2016. $

Use the model to predict the year in which the tuition will be $15325.

Year	CBU Tuition
2	3995
5	5000
8	6200
11	7450
14	8855
17	10420
20	12160

Reggie 2021-10-25

Write the following expression as a sum and/or difference of logarithms. Express powers as factors
$\log_{b} (u^{6} v^{5}) u > 0, v > 0$

Yasmin 2021-10-25

Whether the given expression is true or false.
Given: $\sqrt{x^{2}} = x$

banganX 2021-10-25

Change the logarithmic statement to an equivalent statement involving an exponent.
$\ln x = 4$

Emily-Jane Bray 2021-10-25

Use the properties of logarithms to express the following logarithms in terms of logarithms of x,y, and z.
a. $\log_{b} 5 x y^{2}$
b. $\log \frac{x^{2} \sqrt{y}}{z^{5}}$

glasskerfu 2021-10-24

Solve the given equation for x $2 = e^{0.06 x}$

CoormaBak9 2021-10-24

how do you use the one-to-one property of property of logarithms to solve? step by step please
$\log (x + 3) - \log (x) = \log (74)$

coexpennan 2021-10-24

Condense the expression $3 \ln x + 2 \ln (x + 1)$ to the logarithm of a single quantity.

Chaya Galloway 2021-10-24

(a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places
$10 {(1.375)}^{10 t} = 50$

Amari Flowers 2021-10-24

. Add notes Use the properties of logarithms to rewrite the logarithm if possible. Assume that all variables represent positive real numbers.
$\log_{6} \frac{13}{9}$

abondantQ 2021-10-23

Use the Laws of Logarithms to combine the expression.
$\log_{a} {b} + c \log_{a} {d} - r \log {s}$

glamrockqueen7 2021-10-23

Use the change-of-base formula to write $(\log_{25}) (\log_{59})$ as a single logarithm.

Tobias Ali 2021-10-23

Use the Laws of Logarithms to combine the expression into a single logarithm.
a) $\log a + 2 \log b$
b) $\ln (x^{2} - 25) - \ln (x + 5)$
c) $\log_{23} - 3 \log_{2} x + \frac{1}{2} \log_{2} (x + 1)$

Lennie Carroll 2021-10-23

Use the Laws of Logarithms to expand the following into as many logarithms as possible. Use (5) the LOLs

Josalynn 2021-10-22

To calculate:
To factor the expression $\frac{4}{3} x^{\frac{1}{3}} (2 x - 3) + 2 x^{\frac{4}{3}}$ .

Isa Trevino 2021-10-22

Calculate the following limits using the factorization formula
$x^{n} - a^{n} = 1 x - a 21 x^{n - 1} + a x^{n - 2} + a^{2} x^{n - 3} + \dots + a^{n - 2} x + a^{n - 1} 2$ , where n is a positive integer a is a real number.
$lim_{x \to a} \frac{x^{5} - a^{2}}{x - a}$

Bergen 2021-10-22

Write the logarithm possible. as the sum or difference of logarithms. Simplify each term as much as possible.
a. $\ln (\frac{e^{3} x^{2}}{\sqrt[3]{y}})$
b. $\log (\frac{100}{{(x^{2} - y^{2})}^{5}})$

Jerold 2021-10-21

4) Find $\log_{5} (60)$ using the properties of logarithms, give final answer as a decimal.

Lennie Carroll 2021-10-21

(a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places.
$10^{- 5 x} = 10$

FobelloE 2021-10-21

Write the following expression as a sum and/or diffence of logarithm.Express powers as factors.
$\ln {\frac{x}{e^{x}}}$

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