Robert is playing a game of cards with his family. If he randomly picks a card from a standard 52-card deck, the probability of drawing a heart on the first draw is . So, we can describe the event of picking a heart from a deck of cards as .

If f(x) = 2x + 8 and g(x) = x4, what is (gº)?

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

Acircle has a radius of 5 in. a central angle that measures 150° cuts off an arc.explain how to find the arc length exactly, and then approximate it to one decimal place.