Answer:
16%
Step-by-step explanation:
To solve this we are using the standard growth equation:

Were
is the final value after
years
is the initial value
is the growth factor (yearly rate of appreciation in our case) in decimal form
is the time in years
We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so
,
, and
.
Let's replace the values in our equation and solve for
:




![\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2.375%7D%20%3D%5Csqrt%5B6%5D%7B%281%2Bb%29%5E6%7D)
![1+b=\sqrt[6]{2.375}](https://tex.z-dn.net/?f=1%2Bb%3D%5Csqrt%5B6%5D%7B2.375%7D)
![b=\sqrt[6]{2.375}-1](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B2.375%7D-1)

which rounds to

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:
0.16*100% = 16%
We can conclude that the yearly appreciation rate of our gold coin is approximately 16%
A volume of a pyramid=base area×height/3
both the bases have same dimensions
pyramid B is twice the height of A
therefore the volume is doubled
Answer:
99.225
Step-by-step explanation:
10×3.15 is 31.5
31.5 squared is 99.225
Hope this helps!
Step-by-step explanation:
the answer is in the above image
Let's solve your equation step-by-step.
−2(4k−7)=22−8k
Step 1: Simplify both sides of the equation.
−2(4k−7)=22−8k
(−2)(4k)+(−2)(−7)=22+−8k(Distribute)
−8k+14=22+−8k
−8k+14=−8k+22
Step 2: Add 8k to both sides.
−8k+14+8k=−8k+22+8k
14=22
Step 3: Subtract 14 from both sides.
14−14=22−14
0=8
So, the answer is 0=8.