Thanks to its environmental initiatives, Lexington has cut its annual CO2 emissions by 5%. This year, the town produced 380,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 3 years from now?

If necessary, round your answer to the nearest whole number.

Step-by-step explanation:

If the downward trend continues, it means that the CO2 production will keep on decreasing exponentially by 5%. We would apply the formula for exponential depreciation which is expressed as

A = P(1 - r)^t

Where

A represents the amount of CO2 produced after t years.

t represents the number of years.

P represents the initial amount of CO2 produced.

r represents rate at which its production is reducing.

From the information given,

P = 380000

r = 5% = 5/100 = 0.05

t = 3

Therefore

A = 380000(1 - 0.05)^3

A = 380000(0.95)^3

A= 325803 metric tons of emissions.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.