The school is selling potted plants as a fundraiser. kara sold 12 ferns and 8 ivy plants for $260. paul sold 15 ivy plants and 6 ferns for $240. what is the selling price of each plant?

Fern = $15

Ivy= $10

Step-by-step explanation:

Let f = ferns and v = ivy

12f + 8v = $260 1

6f + 15v = $240 2

Using elimination method

multiply eqn 1 by 15 and eqn 2 by 8

180f +120v = 3900

48f + 120v = 1920

Subtracting

132f = 1980

f = $15

From eqn 1

12*15 + 8v = 260

180 + 8v = 260

8v = 80

v = $10

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .