Sydney blackwell manages an office building with leases of $60,000 per year. her management agreement is for 7 years, with fees as follows: 7% the first year; 5% the second and third years; and 3 % the remaining years. what will be sydney's total management fee?

total management fee is $16200

Step-by-step explanation:

given data

leases = $60000 per year

time = 7 year

fees 1st year = 7%

fees 2nd and 3rd year = 5%

fees remaining year = 3%

to find out

total management fee

solution

we find here commission for each here

for 1st year = 7% of $60000 = $4200   1

for 2nd and 3rd  year = 5% of $60000 = $3000   2

for remaining year = 3% of $60000 = $1800   3

and that is 4 year so fees = 1800 × 4 = $7200   4

now add all these to get total

total fees = 4200 + 3000 + 1800 + 7200

total fees = 16200

so total management fee is $16200

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240