(5) Blackbeard and Shamus find a treasure chest with $40,000 in coins inside. Blackbeard takes
$25,000; Shamus takes the remaining $15,000. Shamus is money-savvy and decides to invest his
treasure in a bank account that yields an 8% annual interest rate compounded quarterly. If he leaves
the treasure in the account for five years, who
will end up with the most valuable treasure?

Blackbeard

Step-by-step explanation:

set of equation: f(x) = 15,000(1.08)^x

x = years; 15,000(1.08)^5

shamus is about 22039.921152

25000>22039.921152

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.