In 2001, the value of a plot of land is $12,000. each year, the value of the plot increases by 8%. which equation accurately describes the value of the plot, f(x), x years after 2001? f(x) = 12,000(1.08)^x f(x) = 12,000(1.8)^x f(x) = 1.8(12,000)^x f(x) = 8(12,000)^x

f(x) = 12,000(1.08)^x

Step-by-step explanation:

The equation required may be determined mathematically as follows by illustrations beginning from 1 to 2 A pattern will be observed which will then give credence to what the equation should look like.

Given that the value of a plot of land is $12,000. Each year, the value of the plot increases by 8%

After the first year i.e from 2001 to 2002, the value increases to

= $12,000 + (8% * $12,000)

= $12,000 (1.08)

After the second year i.e 2002 to 2003, the value increases to

=$12,000(1.08) + ($12,000(1.08) *0.08)

= $12,000(1.08) (1.08)

= $12,000(1.08)²

By the pattern, after x years, the value of the land will be

= $12,000(1.08)ˣ

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: