Janice’s mother gave her a ten dollar bill to buy five pounds each of bananas and apples at the grocery store. when she got there, she found that bananas were 80¢ per pound and apples were $1.40 per pound. did janice’s mother give her enough money? if so, should she receive any change? if not, how much more money does she need? show all of your work.

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

The graph below represents the number of dolphins in a dolphin sanctuary. select all the key features of this function.

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.