Answer:
14.2
Step-by-step explanation:
Answer:
5.6%
Step-by-step explanation:
$34,742. X 5.6% = $1,945.55
A. Sigma notation
The formula for finding the nth value of the geometric series
is given as:
an = a1 * r^n
Where,
an = nth value of the series
<span>a1 = 1st value in the geometric series = 940</span>
r = common ratio = 1/5
n = nth order
The sigma notation for the sum of this infinite geometric
series is therefore,
(see attached photo)
B. Sum of the infinite geometric series
The formula for calculating the sum of an infinite
geometric series is given as:
<span>S = a1 / (1 – r)</span>
Substituting the given values:
S = 940 / (1 – 1/5)
<span>S = 1,175</span>
Answer:
A
Step-by-step explanation:
using the theorem of Pythagoras
<em>x</em><em> </em><em>=</em><em> </em><em>sqrt</em><em>*</em><em> </em><em>1</em><em>9</em><em>.</em><em>6</em><em> </em><em>^</em><em>2</em><em> </em><em>-</em><em> </em><em>1</em><em>5</em><em>.</em><em>4</em><em>^</em><em>2</em><em>*</em>
<em>x</em><em> </em><em>=</em><em> </em><em>7</em><em>×</em><em> </em><em>sqrt</em><em>*</em><em> </em><em>3</em><em>*</em>
<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>.</em><em>1</em><em> </em><em>units</em><em> </em>
Answer:

Step-by-step explanation:
The polynomial given for simplification is:

Now, we combine like terms using the commutative property of addition.
The commutative property of addition states that:

So, the order can be shuffled when we add terms.
The terms containing 't' are grouped together and the constant terms are grouped together. This gives,

Now, we group them using associative property and converse of distributive property as:

Simplifying the above expression, we get:

Therefore, the simplified form is 