Answer:
Option B - ![550(1+0.1)^6](https://tex.z-dn.net/?f=550%281%2B0.1%29%5E6)
Step-by-step explanation:
Given : Fidel has a rare coin worth $550. Each decade, the coin's value increases by 10%.
To find : Which expression gives the coin's value, 6 decades from now?
Solution :
The given situation represents the exponential function,
![y=a(1+r)^n](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5En)
where, a is the initial value i.e. a=$550
r is the increased rate r=10%
n is the time i.e. n=6
Substitute the value in the formula,
![y=550(1+10\%)^6](https://tex.z-dn.net/?f=y%3D550%281%2B10%5C%25%29%5E6)
![y=550(1+0.1)^6](https://tex.z-dn.net/?f=y%3D550%281%2B0.1%29%5E6)
Therefore, option B is correct.
Answer: 35.88
Step-by-step explanation: So if something is marked up by 8.7% it means, it is 108.7% of the original number.
So we can convert 108.7% to a decimal by dividing 108.7 by 100, which equals 1.087.
So if we want to find the original number, all we have to do is divide 39 by 1.087.
This will give us 35.88 as the original number rounded to the nearest tenth.
If the car travels for 3.2 seconds at a rate of 3.8m/s^ the car should travel 3.2*3.8 which is 12.16 meters.
Answer:
Step-by-step explanation:
By the vertical angle theorem which states that angle opposite to each other is equal, we know the whole angle opposite to the angle that is 90 degrees (since it has a little square on the angle) is also ninety degrees.
However, that angle is split into two more angles one that is 22 degrees and the other being x degrees. Yet both of them added up equal to 90 degrees.
Thus we get the equation:
x + 22 = 90
x = 68 degrees
Hope that helps!
Answer:
Your answer is correct; 2:1
Step-by-step explanation: