A photo of a beetle in a science book is increased to 735% as large as the actual size. If the beetle is 16 millimeters, what is the size of the beetle in the photo?

117.6 millimeters

Step-by-step explanation:

Given , The actual size of beetle = 16 millimeters

Since , the photo of a beetle in a science book is increased to 735% as large as the actual size.

Scale factor to increase the size = 735% = 7.35 [To convert percentage to decimal or fraction we divide it by 100]

Then , the size of the beetle in the photo would be :

(Actual size of the beetle) x (Scale factor)

= (16 millimeters) x (7.35)

= (16 x 7.35) millimeters

= 117.6 millimeters

Hence, the size of the beetle in the photo = 117.6 millimeters

The starting price of a hotem room is $48.00.

After 1 year, this price increases by 5.1%, meaning it's increased by a factor of 1.051 or 1 + 0.051:

$48.00 (1 + 0.051) ≈ $50.45

After another year, this price increases by another 5.1%, so the previous amount is increased by a factor of 1.051, which is equivalent to 1.051² times the initial price:

$50.45 (1 + 0.051) = $48.00 (1 + 0.051)² ≈ $53.02

After another year, another increase:

$53.02 (1 + 0.051) = $48.00 (1 + 0.051)³ ≈ $55.72

And so on. You should start to see where the given formula comes from,

where a = $48.00 is the starting price, r = 0.051 is the rate at which the price increases, and t is number of years.

Then in 32 years, the price of the room will be

$48.00 (1 + 0.051)³² ≈ $235.79