Answer:
Sara earned a commission of <em>$2,300.</em>
Step-by-step explanation:
To find the answer we will first<em> divide 5 by 100</em> and we get <em>0.05</em>. Now <em>multiply $46,000 by 0.05 </em>and we get <em>$2,300</em>. Therefore, <em>$2,300 is our answer.</em>
Answer:
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x <======
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
Given that

, we have for

the Taylor series expansion about 0 as

Replace

with

, so that the series is equivalent to

and notice that

Recall that for

, we have

which means
