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3 years ago

Becca is paid $10.00 per hour and time-and-a-half for all hours worked over 40 per week.

2 answers:

7 0

$10.00 per hour, 1.5*$10.00 = $15.00/hour for overtime
40*$10.00 + (41.75-40)*$15.00 = <span>$426.25 in gross earnings</span>

Amiraneli [1.4K]3 years ago

4 0

10.00+41.75•40 ..........

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

Given that 310 = 59 049 , what is 3-10 expressed as an exact value?

Advocard [28]

$x^{-n}=\frac{1}{x^n} \\ \\
3^{10}=59049 \\
3^{-10}=\frac{1}{3^{10}}=\frac{1}{59049} \\ \\
\boxed{3^{-10}=\frac{1}{59049}}$

4 0

3 years ago

kenzie bought a shirt for $18. the next day she saw the shirt was selling for 24.60. what is the percent increase

Luba_88 [7]

You are trying to solve what percent of the difference between $26.60 and $18 is of $24.60, so:

$24.60 - $18 = $6.60

24.60x = $6.60
x = 6.60/24.60
x = 0.2683

So the percent increase is 26.83%

3 0

3 years ago

H(x)= 2x+1, Find h(3)

zvonat [6]

H of three is 7 Bc you just plug it in

8 0

3 years ago

Read 2 more answers

The ratio of boys to girls in math classes is 3.5. If there are 130 girls in these classes, how many boys must there be?

dsp73

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

The ratio of boys and girls =3:5

Let

Number of boys=3x

Number of girls =5x

According to the question Numbers of girls=130

${:}\longrightarrow$ $\sf 5x=130$

Now interchange both sides and get x

${:}\longrightarrow$ $\sf x={\dfrac {130}{5}}$

${:}\longrightarrow$ $\sf x=26$

The number of boys=3x

=3×26=78

$\therefore$ Number of boys is 78.

4 0

3 years ago