Polygon ABCD is dilated about the origin, O, to create polygon A′B′C′D′. Point A is located at (1, 3), and point A′ is located at (4, 12). Which type of dilation was used to create polygon A′B′C′D′, and what is the scale factor?

The circumference of a circle is 5 pi cm. what is the area of the circle?

Trent wants to buy 2 packs of trading cards for 3 dollars each. the trading card packs that trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. after selecting 2 packs, trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. trent uses this information to write the equations below in order to compare c, the number of cards in each pack.

A. use the formula for continuous compounding with the original example: $1000 invested at 2% for 1 year. record the amount to 5 decimal places. use a calculator. b. compare it to the result using the original compound interest formula with n = 365 calculated to 5 decimal places. which has a larger value? explain.