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Given the following system of equations using Cramer’s Rule

A wooden artifact from an ancient tomb contains [x]% of carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (Use that the half-life of carbon-14 is 5730 years).  

An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders five Falafel wraps, fifteen Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $260. The next month, she orders eight Falafel wraps, eighteen Turkey BLT sandwiches, and 14 hot Ham and Swiss paninis for a total of $263. For the third month, she orders twelve Falafel wraps, 16 Turkey BLT sandwiches, and twelve hot Ham and Swiss paninis for a total of $258. How much does each sandwich cost? Write your answers rounded to two (2) decimal places. A Falafel wrap costs $[a] A Turkey BLT sandwiches costs $[b] A hot Ham and Swiss panini costs $[c]

Evaluate the expression, given x = -2, y = 3, and a = -4.2x – 3y – 4a

Find the product.-7(13)

Simplify by finding the absolute value.

Perform the indicated operations.21 ∙ (-4) + 12 ∙ (-9)

Find the difference.- 4.4 – 10.2

Simplify. 63 ÷ 8 – 5

Find the value of the exponential expression.102