The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. the equation of this circle in standard form is (x + 21)^2 + (y + 19)^2 = 849. what is the centerpoint of circle and radius?me

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96

The line of best fit for the scatter plot below passes through which pair of points?

Triangle abc and triangle deg are similar right triangles. which proportion can be used to show that the slope of ac is equal to the slope of dg? a) 4 − (−7) 0 − 4 = −1 − 10 4 − 8 b) −4 − (−7) 0 − 4 = 4 − 8 −1 − (−10) c) 0 − 4 −4 − (−7) = −1 − (−10) −4 − 8 d) 0 − 4 −4 − (−7) = −4 − 8 −1 − (−10)