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Catherine Valdez

Catherine V.

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Diet The local sushi bar serves 1 -ounce pieces of raw salmon (consisting of $50 \%$ protein) and $1 \frac{1}{4}$ -ounce pieces of raw tuna $(40 \%$ protein $) .$ A customer's total intake of protein amounts to $1 \frac{1}{2}$ ounces after consuming a total of three pieces. How many of each did the customer consume? (Fractions of pieces are permitted.)

Diet The local sushi bar serves 1 -ounce pieces of raw salmon (consisting of $50 \%$ protein) and $1 \frac{1}{4}$ -ounce pieces of raw tuna $(40 \%$ protein $) .$ A customer's total intake of protein amounts to $1 \frac{1}{2}$ ounces after consuming a total of three pieces. How many of each did the customer consume? (Fractions of pieces are permitted.)

Finite Mathematics and Applied Calculus

Systems of Linear Equations and Matrices

Systems of Two Equations in Two Unknowns
Demand for Monorail Service: Mars The demand for monorail service on the Utarek monorail, which links the three urbynes (or districts) of Utarek on Mars, can be approximated by $q(p)=7.5+\frac{30}{p}$ million rides per day $\quad(3 \leq p \leq 8)$ where $p$ is the cost per ride in zonars $(\overline{\mathbf{Z}}) .^{26}$ a. Graph the demand function. b. What is the result on demand if the cost per ride is decreased from $\bar{Z}_{5} .00$ to $\bar{Z}_{3} 3.00 ?$ c. If the demand function is extrapolated, what does its graph suggest will be the effect of increasing the price to extremely large values?

Demand for Monorail Service: Mars The demand for monorail service on the Utarek monorail, which links the three urbynes (or districts) of Utarek on Mars, can be approximated by $q(p)=7.5+\frac{30}{p}$ million rides per day $\quad(3 \leq p \leq 8)$ where $p$ is the cost per ride in zonars $(\overline{\mathbf{Z}}) .^{26}$ a. Graph the demand function. b. What is the result on demand if the cost per ride is decreased from $\bar{Z}_{5} .00$ to $\bar{Z}_{3} 3.00 ?$ c. If the demand function is extrapolated, what does its graph suggest will be the effect of increasing the price to extremely large values?

Finite Mathematics and Applied Calculus

Functions and Applications

Functions and Models
The following table shows the number of fiber-optic cable connections to homes in the U.S. from $2000-2004(t=0$ represents 2000$):^{.55}$ $$ \begin{array}{|r|c|c|c|c|c|} \hline \text { Year } \boldsymbol{t} & 0 & 1 & 2 & 3 & 4 \\ \hline \begin{array}{r} \text { Connections c } \\ \text { (Thousands) } \end{array} & 0 & 10 & 25 & 65 & 150 \\ \hline \end{array} $$ a. Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places, and plot the regression line and the given points. b. Does the graph suggest that a non-linear relationship between $t$ and $p$ would be more appropriate than a linear one? Why? c. Use technology to obtain the residuals. What can you say about the residuals in support of the claim in part (b)?

The following table shows the number of fiber-optic cable connections to homes in the U.S. from $2000-2004(t=0$ represents 2000$):^{.55}$ $$ \begin{array}{|r|c|c|c|c|c|} \hline \text { Year } \boldsymbol{t} & 0 & 1 & 2 & 3 & 4 \\ \hline \begin{array}{r} \text { Connections c } \\ \text { (Thousands) } \end{array} & 0 & 10 & 25 & 65 & 150 \\ \hline \end{array} $$ a. Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places, and plot the regression line and the given points. b. Does the graph suggest that a non-linear relationship between $t$ and $p$ would be more appropriate than a linear one? Why? c. Use technology to obtain the residuals. What can you say about the residuals in support of the claim in part (b)?

Finite Mathematics and Applied Calculus

Functions and Linear Models

Linear Regression
The following table shows the number of fiber-optic cable connections to homes in the United States from 2000 to $2004(t=0$ represents 2000$):^{76}$ $$\begin{array}{|r|c|c|c|c|c|}\hline \text { Year } t & 0 & 1 & 2 & 3 & 4 \\\hline \begin{array}{r}\text { Connections } c \\\text { (thousands) }\end{array} & 0 & 10 & 25 & 65 & 150 \\\hline\end{array}$$ a. Use technology to obtain the linear regression line and correlation coefficient $r,$ with all coefficients rounded to two decimal places, and plot the regression line and the given points. b. Does the graph suggest that a nonlinear relationship between $t$ and $c$ would be more appropriate than a linear one? Why or why not? c. Use technology to obtain the residuals. What can you say about the residuals in support of the claim in part (b)?

The following table shows the number of fiber-optic cable connections to homes in the United States from 2000 to $2004(t=0$ represents 2000$):^{76}$ $$\begin{array}{|r|c|c|c|c|c|}\hline \text { Year } t & 0 & 1 & 2 & 3 & 4 \\\hline \begin{array}{r}\text { Connections } c \\\text { (thousands) }\end{array} & 0 & 10 & 25 & 65 & 150 \\\hline\end{array}$$ a. Use technology to obtain the linear regression line and correlation coefficient $r,$ with all coefficients rounded to two decimal places, and plot the regression line and the given points. b. Does the graph suggest that a nonlinear relationship between $t$ and $c$ would be more appropriate than a linear one? Why or why not? c. Use technology to obtain the residuals. What can you say about the residuals in support of the claim in part (b)?

Finite Mathematics and Applied Calculus

Functions and Applications

Linear Regression

Questions asked

ANSWERED

Donna Densmore verified

Numerade educator

Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $190 deposited monthly for 20 years at 3% per year in an account containing $13,000 at the start

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ANSWERED

Donna Densmore verified

Numerade educator

Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $2,500 per quarter for 15 years, if the account earns 4% per year

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ANSWERED

Donna Densmore verified

Numerade educator

Find the periodic withdrawals PMT for the given annuity account.(Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $250,000 at 5%, paid out monthly for 20 years

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ANSWERED

Donna Densmore verified

Numerade educator

Determine the periodic payments on the given loan or mortgage. (Round your answer to the nearest cent.) $2,000,000 borrowed at 4% for 30 years, with quarterly payments

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ANSWERED

Eduard Sanchez verified

Numerade educator

Determine the periodic payments on the given mortgage. (Round your answer to the nearest cent.) a $1,000,000, 31-year, 5.5% mortgage with monthly payments

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ANSWERED

Danielle Fairburn verified

Numerade educator

Determine the outstanding principal of the given mortgage. (Assume monthly interest payments and compounding periods.) (Round your answer to the nearest cent.) A $250,000, 30-year, 6.2% mortgage after 25 years

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ANSWERED

Eduard Sanchez verified

Numerade educator

Determine the outstanding principal of the given mortgage. (Assume monthly interest payments and compounding periods.) (Round your answer to the nearest cent.) A $100,000 300-year, 9.9% mortgage after 20 years.

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ANSWERED

Danielle Fairburn verified

Numerade educator

Car Leasing You can lease a $17,000 car for $500 per month. For how long (to the nearest year) should you lease the car so that your monthly payments are lower than if you were purchasing it with an 9%-per-year loan?

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ANSWERED

Donna Densmore verified

Numerade educator

Find the effective annual interest rates of the given nominal annual interest rates. Round your answers to the nearest 0.01%. HINT [See Quick Example 5.] 50% compounded every minute (assume 365 days per year)

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ANSWERED

Penny Riley verified

Numerade educator

Given that FV = 15t + 200, for what annual interest rate r (as a percent) is this the equation of future value (in dollars) as a function of time t (in years)?

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