Assuming annual compounding, then:
FV=15000*(1+.035)^15
FV=15000*1.6753488307521611831782355996538
FV=$25130.23
At the end of 15 years, Tom should have $25130.23 in his account.
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
Start with the equation,
V = 2s^3
Now substitute s with 3.5 units and evaluate the expression.
V = 2 * (3.5 units)^3
V = 2 * 42.875 units^3
V = 85.75 units^3
Answer: The volume is 85.75 cubic units
Using the properties of arcs and inscribed angles, B is 110/2=55.
Slope intercept form is y = ax + b, where a is equal to the slope value, and b is equal to the y-intercept.
You have both the slope and y-intercept, which means that all you need to do is plug in the numbers to the equation in order to get your answer!
Let's plug in -7 for a, which gives you y = -7x + b.
Next, we'll plug in the y-intercept, which gives you y = -7x + 9.
Hope this helps!! :)
