Given that L is the centroid of /, find LG

An electrician collected $1265.23 for a job that included $840 labor, which was not taxed, and the rest for parts, which were ta

julia-pushkina [17]

Answer:

Total tax = $25.51

Step-by-step explanation:

Total collection = $1265.23

Tax-Free amount = $840

so

Taxable amount = $1265.23 - $840

= $425.23

Given that the taxable amount was taxed at 6%

Thus,

The total tax = 6% of 425.23

= 6/100 × 425.23

= 0.06 × 425.23

= $25.51

Therefore,

Total tax = $25.51

6 0

2 years ago

What is the value of C?<br>14 = -2C - 6 – 3C <br>

icang [17]

Answer:

C = -4

Step-by-step explanation:

First, combine like terms (terms with the same amount of variables):

14 = -2C - 3C - 6

14 = (-2C - 3C) - 6

14 = (-5C) - 6

Isolate the variable, C. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and equals:

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction.

First, add 6 to both sides:

14 (+6) = -5C - 6 (+6)

14 + 6 = -5C

-5C = 20

Next, divide -5 from both sides:

(-5C)/-5 = (20)/-5

C = 20/-5

C = -4

-4 is your value for C.

~

7 0

3 years ago

Read 2 more answers

I FAILED and lost Leo Murillo Find the correct result. 1+4=5 2+5=12 3+6=21 5+8=_________ If your answer is wrong, upload this on

tigry1 [53]

Answer:

Step-by-step explanation:

45

3 0

3 years ago

Read 2 more answers

WILL MARK BRAINLYEST IF YOU ANSWER ALL QUISTIONS

gogolik [260]

Rewrite the fractions as improper fractions:

1. −4 2/5 ÷ (−5)

= -22/5 ÷ −5/1

= -22/5 x -1/5

=22/25

2. −4 4/5÷4

= -24/5 ÷ 4/1

= -24/5 x 1/4

= -6/5

= -1 1/5

3. −2 1/8 ÷ 1 1/4

= -17/8 ÷ 5/4

= -17/8 x 4/5

= -68/40

= -17/10

=-1 7/10

4. −6 7/8 ÷ (−3 3/4)

= -55/8 ÷ -15/4

= -55/8 x -4/15

= 220/40

= 11/6

= 1 5/6

5. −8 3/4÷ 2 1/6

= -35/4 ÷ 13/6

= -35/4 x 6/13

= -210/52

= - 105/26

= -4 1/26

7 0

3 years ago

A forestry company hopes to generate credits from the carbon sequestered in its plantations.The equation describing the forest w

Dmitry [639]

Answer:

Explanation:

Given:

The equation describing the forest wood biomass per hectare as a function of plantation age t is:

y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4

The equation that describes the annual growth in wood biomass is:

y ′ (t) = 0.01t + 0.072t^2 - 0.018t^3

To find:

a) The year the annual growth achieved its highest possible value

b) when does y ′ (t) achieve its highest value?

a)

To determine the year the highest possible value was achieved, we will set the derivative y'(t) to zero. The values of t will be substituted into the second derivative to get the highest value

$\begin{gathered} 0\text{ = 0.01t + 0.072t}^2\text{ - 0.018t}^3 \\ using\text{ a graphing tool,} \\ t\text{ = -0.1343} \\ \text{t = 0} \\ t\text{ = 4.1343} \\ \\ Since\text{ we can't have time as a negative value, t = 0 or t = 4.1343} \end{gathered}$ $\begin{gathered} To\text{ ascertain which is the maximum, we take a second derivative} \\ y^{\prime}\text{'\lparen t\rparen = 0.01 + 0.144t - 0.054t}^2 \\ \\ substitute\text{ t = 0 and t = 4.13 respectively} \\ when\text{ t = 0 } \\ y^{\prime}\text{'\lparen t\rparen= 0.01 + 0.144\lparen0\rparen - 0.054\lparen0\rparen}^2 \\ y^{\prime}\text{'\lparen t\rparen= 0.01 + 0 - 0} \\ y^{\prime}\text{'\lparen t\rparen= 0.01 > 0} \\ \\ y^{\prime}\text{'\lparen t\rparen= 0.01 + 0.144\lparen4.13\rparen - 0.054\lparen4.13\rparen}^2 \\ y^{\prime}\text{'\lparen t\rparen= -0.316 < 0} \\ \\ if\text{ }y^{\prime}\text{'\lparen t\rparen > 0 , then it is minimum, } \\ if\text{ }y^{\prime}\text{'\lparen t\rparen < 0, then it is maximum} \end{gathered}$

SInce t = 4.13, gives y ′' (t) = -0.316 (< 0). This makes it the maximum value of t

The year the annual growth achieved its highest possible value to the nearest whole number will be

year 4

b) y ′ (t) will achieve its highest value, when we substitute the value of t that gives into the initial function.

Initial function: y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4

$undefined$

6 0

1 year ago