NO LINKS!! Please help fill in the blanks. Part 9a

Example:

Carbon-14 has a radioactive half-life of 5,730 years. Use the radioactive decay equation to find the age of a fossil that contains 20% of its original carbon-14.

The fossil is approximately 13 thousand years old.

Side note: carbon-14 decays into nitrogen-14 and a beta particle.

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Question: How long will it take $2,000 to double if it is deposited in an account with an interest rate of 5% compounded continuously?

When interest is compounded continuously, the equation represents the balance, A, after t years, where r is the rate of   interest   and P is the beginning balance or   principal   .

Twice $2,000 is $4,000. Substitute these variables into the compound interest formula, isolate the exponential expression and solve for t.

In about   13.86   years, the amount doubles.

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.