A) 5.5 units
b) 10.9 units
c) 5.0 units
d) 8.5

Since diameter is always perpendicular to tangent at point of contact in circle,

in this case:

AC is perpendicular to BC

which makes triangle ABC right angled triangle,

So from Pythagoras theorem,

AC=√(AB²-BC²)

=√(12²-5²)

=√(144-25)

=√119

=10.9

Since radius is half the length of diameter:

AP= AC/2

=10.9/2

=5.45 (nearly equal to 5.5)

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500