<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
Answer:
74.09453421...
Step-by-step explanation:
Pythagorean Theorem
Answer:
0.341
or 1.0723
Step-by-step explanation:
the volume of hemisphere = (2/3)

r = (1/2)d = 0.8
(2/3)
= 0.341
= 1.0723
Answer:
Step-by-step explanation:
Answer:
Relationship between compound interest and exponential growth
C.I = ![P[(1 + \frac{R}{100})^{n} - 1]](https://tex.z-dn.net/?f=P%5B%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%29%5E%7Bn%7D%20-%201%5D)
where, P =Principal
R =Rate of interest, n= Duration i.e time interval for which money has been taken, C.I =Compound Interest
Exponential growth = A 
Where , A=Initial value of population, K= Rate at which population is declining in percentage, s=total time between starting population and final population
Now , If you compare between Exponential growth and compound interest
P→(Replaced by)→A,
R→(Replaced by)→K,
n→(Replaced by)→s,
As C.I is calculated for money, and Exponential word is used for both money as well as increase in population.
So, just replacing keeping the meaning same
C.I =
- P
→Compound Interest = Exponential growth - Initial Value(either money or any population considered)