Investors buy a studio apartment for $200,000. of this amount, they have a down payment of $60,000. their down payment is what percent of the purchase price? what percent of the purchase price would a $70,000 down payment be?

  a) 30%

  b) 35%

Step-by-step explanation:

To convert a ratio to a percentage, multiply it by 100%.

a) $60,000 down payment

  60,000/200,000 × 100% = 30%

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b) $70,000 down payment

  70,000/200,000 × 100% = 35%

The word "percent" literally means "per hundred." The symbol "%" is shorthand for "/100" (per hundred).

You can reduce these fractions to ones that have 100 as a denominator, so can see the percentage value easily:

  60,000/200,000 = 60/200 = 30/100 = 30% . . . . . . replace /100 with %.

  70,000/200,000 = 70/200 = 35/100 = 35%

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

step-by-step explanation: