Asmall parcel of lot in a rural area costs $50,000 in 1980. if the value of the lot appreciates by 20% every 10 years, how much would the lot be in 2020?

The value of small parcel of lot in 2020 will be $103680.

Solution:

Given, A small parcel of lot in a rural area costs $50,000 in 1980.  

The value of the lot appreciates by 20% every 10 years,  

We have to find how much would the lot be in 2020?

According to given information,  

cost of lot in 1990 → lot cost in 1980 + appreciated cost = 50000 + 20% of 50000

→ cost of lot in 1990 = 50000 + 20/100 x 50000 = 50000 + 1/5 x 50000 = 50000 + 10000 = $60000.

Now, cost of lot in 2000 → lot cost in 1990 + appreciated cost = 60000 + 20% of 60000

→ cost of lot in 2000 = 60000 + 20/100 x 60000 = 60000 + 1/5 x 60000 = 60000 + 12000 = $72000.

Now, cost of lot in 2010 → lot cost in 2000 + appreciated cost = 72000 + 20% of 72000

→ cost of lot in 2010 = 72000 + 20/100 x 72000 = 72000 + 1/5 x 72000 = 72000 + 14400 = $86400.

Now, cost of lot in 2020 → lot cost in 2010 + appreciated cost = 86400 + 20% of 86400

→ cost of lot in 2020 = 86400 + 20/100 x 86400 = 86400 + 1/5 x 86400 = 86400 + 17280 = $103680.

Hence, the value of lot in 2020 will be $103680.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!