I see no figure in your question
The answer would be 2/3 in lowest terms.
$4,000 in the 10% per year account
$11,000 in the 12% per year account
Answer:
The first one
Step-by-step explanation:
Since only the first session is $10, it wouldn't be 10x.
The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.
So the answer is y = 10 + 5x
(sorry if i didnt explain well)
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
