Answer:
(a)

(b)

(c)

(d)

Step-by-step explanation:
(a)

we can use property of exponent

we get


........Answer
(b)

we can use property of exponent

we get


........Answer
(c)

we can use property of exponent

we get



........Answer
(d)

we can use property of exponent

we get


we can use property

........Answer
Answer:
38cm
Step-by-step explanation:
1. The perimeter of a square can be found with the formula
2. Since its length and width are whole numbers, it must be either
1 x 18,
2 x 9 or
3 x 6
3. Using the formula in step 1, we can found that the perimeter in these cases are
38
22
18
respectively
4. Compare those perimeter we found in previous step, it's obvious that the greatest is 38. Solved.
Let x be a random variable representing the length of a text messaging conversation, then
P(x > 3) = 1 - P(x < 3) = 1 - P(z < (3 - 2)/0.5) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
<span>Total = Principal × ( 1 + Rate )<span>^years
</span></span><span>Total = 150,000 * (1.055) ^ 30
</span>Total = 150,000 *
<span>
<span>
<span>
4.9839512884
</span></span></span>Total =
<span>
<span>
<span>
747,592.69</span></span></span>
<span>Total = 150,000 * (1.065) ^ 30
</span><span><span><span>Total = 150,000 * 6.614366163
</span>
</span>
</span>
<span>Total = 992,154.92</span>
Difference = 992,154.92 -<span>747,592.69 =
</span><span>244,562.23
</span>
Source:
http://www.1728.org/compint.htm
online interest calculator
Answer:
A. E={
and
is a multiple of 8}
Step-by-step explanation:
Let
represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and
is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={
and
is a multiple of 8}
The correct choice is A