I received my 5-12 Math Teaching license in 2016 from the University of MN-Twin Cities and completed my Master of Education from the same university in May 2018. I love teaching all levels of math and have taught primarily "lower level" based on your categories above and tutored a variety of the other levels. From 2016-2018 I tutored as well as taught in Minnesota before moving to North Carolina and teaching at South Iredell for the last three years. Throughout the past year, I have gotten a lot of practice creating videos and working with students in-person, online, or hybrid as many of our educators across the world. I really enjoy working with students and creating videos for them that break down concepts in a different way and give them time to actually understand a concept versus strictly a procedure. I am currently enjoying tutoring and teaching online!
The manager of a furniture factory finds that it costs\ $2200 to manufacture 100 chairs in one day and \$4800 to produce 300 chairs in one day.(a) Express the cost as a function of the number of chairs produced, assuming that it is linear. Then sketch the graph.(b) What is the slope of the graph and what does it represent?(c) What is the y-intercept of the graph and what does it represent?
Show that the operator $$(D-1)(D+2)$$ is the same as the operator $$D^{2}+D-2$$.
Find the missing sides of the triangle $A B C : \sin B=\frac{3}{4}, c=12$
Ed computes the ending balance for an account he is considering. The principal is $\$ 20,000,$ and the interest rate is 5.39$\%$ , compounded continuously for four years. He uses the formula $B=p e^{t}$ and substitutes directly on his calculator. Look at the keystrokes he entered.$$20,000 \mathrm{e}^{\wedge}(.0539)(4)$$He presses ENTER and sees this display.$$20000 \mathrm{e}^{\wedge}(.0539)(4)=84430.32472$$Ed’s knowledge of compound interest leads him to believe that this answer is extremely unreasonable. To turn $\$20,000$ into over $\$84,000$ in just four years at 5% interest seems incorrect to him.a. Find the correct ending balance.b. Explain what part of Ed’s keystroke sequence is incorrect.
A 3-year certificate of deposit pays interest at a rate $r$ compounded annually. If $\$ 2000$ is invested, then the amount at maturity is$$A=2000(1+r)^{3}$$(a) Expand the expression for A. What is the degree of the resulting polynomial?(b) Find the amounts A for the values of r in the table.$$\begin{array}{|c|c|c|c|c|c|c|}\hline \text { Interest rate } r & {2 \%} & {3 \%} & {4.5 \%} & {6 \%} & {10 \%} \\ \hline \text { Amount } A & {} & {} & {} \\ \hline\end{array}$$
Use the binomial theorem to expand andsimplify the following.a) (x + y)^7
Distance travelled by a remote-controlled drone depends on the time for which acceleration button is pressed and is given by the relation d=at+10t^2 , where a is some constant, d is the distance travelled by the drone, and t is the time for which the button is pressed, in seconds. If the drone can travel a distance of 44 units when the button is pressed for 2 seconds, then for how long does the button need to be pressed if the drone has to travel a distance of 168 units (In seconds)?
answer questions 9, 10, 11