Answer:
A) 12 miles
B) 0 miles
C) 3 miles
D) 9 miles
Step-by-step explanation:
I tried my best.. hope it helps!
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%
Answer:
28
Step-by-step explanation:
Hope this helps!
<span>The simplest method to do this is with the vector dot
product. Let the vector A = <9i + 5j> with magnitude √106 be the base
diagonal, and B = <5j + 3k> be the diagonal vector on the side, with
magnitude √34. Then cos θ = (A dot B) divided by the product of the magnitudes.
A dot B =30, so
cos θ = 30 / √(34 x 106)</span>
<span> = 0.4997 ==></span>
<span> θ = 49.19° is the
answer</span>
4a. 99m + 81 = 130m. 4b. 40 + 30z = 70z
5a. 24v + 18 = 41v. 5b. 12c + 16 = 28c
6c. 44 + 48v= 92v. 6b. 40 + 12s = 52s.
