You purchase a home for $125,000. the value of the property increases by 1.9% every year. after ten years, you decide to sell the home. in the meantime, you have made renovations and improvements to the house which increase its sale value by $48,300. how much will you sell the house for, to the nearest hundred dollars?
(a) $257,500
(b) $209,200
(c) $150,900
(d) $199,200

  (D)  $199,200

Step-by-step explanation:

The value due to the exponential increase alone is ...

  $125,000·1.019^10 = $150,887.01 ≈ $150,900

Adding the value of the improvements brings the value to ...

  $150,900 +48,300 = $199,200

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

ok thats very interesting