The rate at which motor oil is leaking from an automobile is modeled by the function L defined by L(t) = 1 + sin(12) for time + 2 0. L(t) is measured in liters per hour, and t is measured in hours. How
much oil leaks out of the automobile during the first half hour?
(A) 1.998 liters
(B) 1.247 liters
(C) 0.969 liters
(D) 0.541 liters
(E) 0.531 liters

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of