Answer:
Step-by-step explanation:
Piecewise function 'f' has been given as,
f(x) = 4x + 3 when x < 0
(x + 7) when x ≥ 0
By using the piecewise function,
a). f(-2) = 4(-2) + 3 (Use f(x) = 4x + 3, since x = -2 is less than 0)
= -8 + 3
= -5
b). f(0) = 0 + 7 (Use f(x) = x + 7, since x = 0 is equal to 0)
= 7
c). f(1) = 1 + 7 (Use f(x) = x + 7, since x = 1 is greater than 1)
= 8
A) Total = Principal * (1 + rate)^years
Total = 500 * (1.015)^years
b) The equation has to be solved for years.
http://www.1728.org/compint2.htm
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log (800) - log(500)] / log (1.015)
Years = (2.903089987 -2.6989700043) / 0.0064660422492
<span><span><span>Years = 0.2041199827
</span>
/ </span>
</span>
0.0064660422492
<span><span><span><span>Years = </span>31.567993965
</span>
</span>
</span>
Answer:
(i) The radius of the scale model of the Earth is 12.7 cm and its volume is 8580.25 cm³ (ii)
Step-by-step explanation:
First you have to find the ratio between the radius of the Moon and the radius of its model (3.4 cm/1700km) and then multiply it for the radius of the Earth model.
Radius of the scale model of the Earth = 6350 km x (3.4 cm/1700 km)
⇒Radius of the scale model of the Earth = 12.7 cm.
Finally, to find the volume of the scale model of the Earth you have to use the formula for the volume of a sphere.
V= 4πr³/3 ⇒ V= 4π(12.7 cm)³/3⇒ V= 8580.25 cm³
Answer:
132
Step-by-step explanation:
36/(6+10)(66)
36/16(66)
2(66)
132