We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
Find the greatest common factor of any two of them. Then find the greatest common factor of that and the third one.
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Factor each number to primes and make note of the factors that are present in all three numbers. The GCF is the product of the common prime factors.
48.85177 then round it to whatever is necessary :)
Let's restate your first sentence: the length of AB is 15 cm.
For dilation, we would have to multiply 15 by 0.4 and that would lead us to our answer: 6 cm. Hope this helps!
Answer:
AHH! Geometry!
Thanks!
The arc has a length of 1/3
Step-by-step explanation:
So you first start off with this:
![\frac{20}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B360%7D)
This is because a circle is 360 degrees, and we are talking about a 20 degree arc.
Simplifying, we get ![\frac{1}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D)
So then, you multiply the circumference with this "factor"
![\frac{1}{18} *6=\frac{6}{18}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D%20%2A6%3D%5Cfrac%7B6%7D%7B18%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Hope this helps!
P.S. Stay Safe during quarantine!