Answer:
TQ = 83.5
Step-by-step explanation:
11/54 = 17/TQ
11TQ = 918
TQ = 918/11 = 83.45
The answer is -2 because 8(-2)-3=-19
8(-2)= -16-3=-19
Answer:
For a duration of 5 years, Monthly Payment =$600.42
For a duration of 6 years, Monthly Payment =$508.83
Step-by-step explanation:
where a= Amount to Finance=$33,000
Annual interest rate = 3.5%=0.035
r=Monthly Interest Rate= 0.035 ÷ 12 =
n=number of months to pay
For a duration of 5 years
n=5X12=60 months
For a duration of 6 years
n=6X12=72 months
Answer:
Step-by-step explanation:
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
