With algebra and show work : ) an explanation would be nice too because this topic confuses me : / the function f(t) = t^2 + 4t − 14 represents a parabola. part a: rewrite the function in vertex form by completing the square. show your work. part b: determine the vertex and indicate whether it is a maximum or a minimum on the graph. how do you know? part c: determine the axis of symmetry for f(t).

Calculate the monthly payment for a $2,500 loan at 9% annual interest for two years. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1 as needed. a. $85.15 b. $105.40 c. $114.21 d. $125.72 calculate the total payback for a $2,500 loan at 9% annual interest for two years. use the formula, m = pm(1 + m)^na/(1 + m)^na - 1 as needed. a. $1,021.80 b. $1,370.52 c. $2,043.60 d. $2,741.04 alice wants to use the stack method to pay down her debts listed in the table below. if she applies an extra $150 a month to her debts, what will be the second debt she targets to pay off and what will be the monthly amount she applies to it? debts interest rate minimum monthly payment debt 1 5.5% $75 debt 2 2.75% $250 debt 3 13.25% $150 a. debt 1, $225 b. debt 1, $375 c. debt 3, $300 d. debt 3, $400 at greenbrier bank, checking account customers earn 0.8% interest a month on their account balances, pay a $0.10 service fee per check, and pay a monthly $2.00 financial charge. calculate the income earned on the checking account for a customer who writes 21 checks and maintains a minimum balance of $1,210. a. $4.27 b. $5.58 c. $6.42 d. $7.35 which statement most accurately compares debit and credit cards? a. both cards deduct from funds currently in a checking account. b. both cards use funds temporarily loaned from a financial institution. c. both cards are processed by the same card system services. d. both carry the risk of overdraft.

If f(x) = 2x + 2 and g(x) = x? , what is (gºf)(2)?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?