Answer:
(a) 13.85 °C
Step-by-step explanation:
The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...
ΔT = 15(10/15)^(t/25)
We want to find the value of this at t=55. It is ...
ΔT = 15(2/3)^(55/25) ≈ 6.15
This is the amount the temperature of the drink is below room temperature.
drink temperature = (20 - 6.15) °C = 13.85 °C
The temperature of the drink after 55 minutes is about 13.85 °C.
Answer:
b
Step-by-step explanation:
Answer:
diameter ≈15.6
Step-by-step explanation:
To solve this;
volume of a sphere = 4/3 πr³
From the question given;
volume of the sphere = 268
lets substitute and solve for r
volume of sphere = 4/3 πr³
268 = 4/3 × 3.14 × r³
268 =4.19 × r³
Divide both-side of the equation by 4.19
268/4.19 = r³
63.96 = r³
Take the cube root of both-side
∛63.96 = r
7.8 ≈ r
but diameter = 2r = 2×7.8 =15.6
FVAD=515[((1+0.18/12)^(12*2)-1)/(0.18/12)]*(1+0.18/12)
FVAD=14967.46