16. AB is tangent to circle 0 at A. The diagram is not drawn to scale. (1 point)
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DOS) w w
A
If AO = 24 and BC = 27, what is AB?
45

AB = 45

Step-by-step explanation:

Since AB is a tangent to the circle then ∠ OAB = 90°

Using Pythagoras' identity in the right triangle.

note OB  = OC + BC = 24 + 27 = 51, thus

AB² + 24² = 51²

AB² + 576 = 2601 ( subtract 576 from both sides )

AB² = 2025 ( take the square root of both sides )

AB = = 45

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.