Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.

Step-by-step explanation:

6²+12²

36 + 144 is 180

c=√180

The length of the hypotenuse is the square root of 180.

Length is defined as the measurement or extent of something from end to end.

Consider a right-angled triangle of two leg sides (a and b), and c is the third side (hypotenuse).

Given that a = 6 and b = 12,

The Pythagorean theorem states that

c^2 = a^2 + b^2

i.e. c^2 = 36 + 144

c^2 =180

Hence, the length of hypotenuse is square root of 180.

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Answer:

1/10

Step-by-step explanation:

The permutation only occurs once during the 10 trials hence 1/10

The monthly repayment for the given principal and rate of interest is $168.3.

Given that, a person requests an immediate bank overdraft of $2000.

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Here, P=$2000, T=12 months = 1 year and r=1%

Now, interest = (2000×1×1)/100

= 20

Total amount = 2020

So, monthly instalment = 2020/12

=$168.3

Therefore, the monthly repayment for the given principal and rate of interest is $168.3.

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Answer:

I use connexus :)

Step-by-step explanation:

hope this helps,

(Info is in attachment)

Answer:

Where's the picture?

Step-by-step explanation:

Answer:

14 and 37

Step-by-step explanation:

[tex]x-y =23\\xy=518[/tex]

x= mother's age

y= Monique's Age

[tex]y=\frac{518}{x}[/tex]

[tex]x=23+y[/tex]

[tex](23+y)y=518[/tex]

[tex]23y+y^{2} =518[/tex]

[tex]y^{2} +23y-518=0[/tex]

[tex](y-14)(y+37)=0[/tex]

[tex]y=14[/tex]  monica is 14 years old

The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]

Hope this helps

Answer:

we're your question

Step-by-step explanation:

again please

Answer:

Yes

Step-by-step explanation:

what is it

[(15×2)+(15×2)]=60=6.0

===================================================

Explanation:

To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2

(low+high)/2 = (0.262+0.622)/2 = 0.442

The value 0.442 is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.

--------------

Alternative Method:

Subtract the endpoints to find the confidence interval width

width = high - low = 0.622 - 0.262 = 0.36

Cut this in half to get the margin of error (MoE)

MoE = width/2 = 0.36/2 = 0.18

Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center

Is there more to the question that we are missing cause i need a little more for it to make sense

Step-by-step explanation:

Domain -5 range 5 ,...............

Answer:

x + y = - 1.2

Step-by-step explanation:

7x - 7y = 5 ; y = x - [tex]\frac{5}{7}[/tex] ; the slope is 1 , and slope of ⊥ line is ( - 1 )

x + 5y = - 6 ; y = - [tex]\frac{1}{5}[/tex] x - [tex]\frac{6}{5}[/tex] ; y-intercept is ( - 1.2 )

Equation is y + [tex]\frac{6}{5}[/tex] = - ( x - 0 ) ; y = - x - 1.2 ; x + y = - 1.2

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

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Answer:

3x + 2x - 10 = 25

5x = 35

x = 7 is your answer

Step-by-step explanation:

brainliSt plz

[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]

[tex] \huge \sf \: Answer[/tex]

The cost price is 3200.

Hope you could get an idea from here

Doubt clarification- use comment section.

19 times Answer:

Step-by-step explanation:

The required number of panels that were painted to be green is 19.

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Pattern =  "orange, yellow, pink, green, purple."

                      1               2        3       4            5
Total number of panels = 98
Number of panels that were painted green,
= 98 / 5
= 19 + 3/5
In the 19 pattern, there are 19 panels that is green,
While in the remaining 3 panels consist of orange, yellow, and pink.

Thus, the required number of panels that were painted to be green is 19.

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Hey there!

(3)(4)(-3.5)

= 12(-3.5)

= -42

Therefore, your answer SHOULD be: -42

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

distribute the 8,17,and 4 throughout the parentheses to get

8x-8+17x-51=16x-36+4

combine like terms

25x-59=16x-32

subtract 16x from both sides and add 59 to both sides to get

9x=27

divide both by 9

x=3

Answer:

29.4

Step-by-step explanation:

Answer:

the fourth image

Step-by-step explanation:

y + x + 3 = 0

y = -x - 3

meaning slope = -1

and y-intercept is -3

answer: image attached

because they all look similar, it is the one that moves exactly one block per unit

Answer:

The guitarist makes 70$ a performance

Step-by-step explanation:

To find how much he makes per performance we need to make an equation where how much he makes per performance is x

The equation would be:

6×x=420

Then we would divide both sides by 6

6÷6×x=420÷6

which would make the equation

x=70

meaning that the guitarist makes 70$ per performance

Let performances be x

[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]

[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]

[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]

[tex]\\ \sf{:}\dashrightarrow x=35[/tex]

Answer:

C (1,0)

Step-by-step explanation:

Answer:

C. (1,0)

Step-by-step explanation:

When you go 3 to the left, you end up at (0, -2). When you go up 2, you get (1,0).

Answer:

Adult males are flame-orange and black, with a solid-black head and one white bar on their black wings. Females and immature males are yellow-orange on the breast, grayish on the head and back, with two bold white wing bars

Explanation:

(I). 5/6 (4X+8) = (3/8) X - (1/4)

→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)

→ [{20X + 40}/6] = (3/8)X - (1/4)

→ [{(20X/6) + (40/6) = (3/7)X - (1/4)

Now,

shift all variables fraction on LHS and constant fraction on RHS.

→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)

Take the LCM of LHS denominator of 6&7 is 42.

→ [(140X - 18X)/42] = -(1/4)-(40/6)

→ [(122X)/42] = -(1/4)-(40/6)

Again take the LCM of the denominator in RHS i.e 4&6 is 12.

→ [(122X)/42] = (-12 - 80)/4

→ [(122X)/42] = (-92)/4

By doing Cross multiply the fraction, we get

→ 4(122X) = 42(-92)

→ 488X = -3 864

→ X = -3 864÷488

Therefore, X = -3864/488

Answer: Hence, the value of X for the given problem is -3864:488.

Explanation:

ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)

→ 15p - 25 + 4p = 5p - 6p + 24

Shift all variables in LHS and constant on RHS.

→ 15p + 4p +6p = 25+24

→ 19p + 6p = 49

→ 25p = 49

Shift the number 25 from LHS to RHS.

Therefore, p = 49/25.

Answer: Hence, the value of P for the given algebraic equation is 49/25.

Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:

[tex]H_0: \mu \leq 500[/tex]

At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:

[tex]H_1: \mu > 500[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]

[tex]z = 2.9[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].

Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

A similar problem is given at https://brainly.com/question/25728144

Step-by-step explanation:

a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:

Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries

Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

b.

Because we know the population standard deviation, we can use a z test

Plugging in the values:

Expected population mean: 24.57

Sample average: 23.89

Sample size: 30

Population standard deviation: 2.4, we get 0.1207 as our p-value.

c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)

d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis