Answer:
The interest rate is 5.278%
Step-by-step explanation:
4298.55=1987.22(1+r/100)^15
r=5.278%
Answer:
V =9.42 in^3
Step-by-step explanation:
The diameter is 3 inches
The radius is d/2 = 3/2 inches
The volume is
V = 4/3 pi r^2
V = 4/3 ( 3.14) ( 3/2) ^2
V =9.42 in^3
We will begin by working through Part (a): Simplify √18
To simplify a square root such as the one above, we must factor out perfect square numbers (this means we must find a number that multiplies to 18 and gives a whole number when we square root it). Using our knowledge that √9 is a perfect square, we should factor out a 9 from 18, as modeled below:
√18 = √(9*2)
We can separate this square root into two square roots multiplied together, as shown below:
√(9*2) = √9 * √2
Now, we should simplify √9, which equals 3, because 3 * 3 = 9.
√9 * √2 = 3 * √2 = 3√2
Therefore, √18 = 3√2.
Now, we can move on to the next problem: √6 * √15.
To begin this problem, we can multiply the square roots together, which means multiplying the numbers under the radical.
√6 * √15 = √(6*15) = √90
To simplify this, we use the same process as above:
√90 = √(10 * 9) = √9 * √10 = 3√10
Note: We know that this fully simplified because we cannot factor out another perfect square number from the number under the radical (10).
Therefore, your two answers are 3√2 and 3√10.
Hope this helps!
+4 next terms are 33,37,41,44,47,50 and so on.....
