Nate Belloir earns a weekly commission of 2.5% on sales of $75,000 or less and 3.0% on sales in excess of $75,000. One week Nate’s commission was $2,135. What was the total of his sales for that week? Need answer ASAP.

Answer:

D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the radius of the base of the cone is 5 cm and the height of the cone is 12 cm, we can find the volume of the toy as follows:

Volume of the cone:

The volume of a cone can be found using the formula: V = (π * r^2 * h) / 3, where r is the radius and h is the height of the cone.

Plugging in the values, we get:

V = (π * 5^2 * 12) / 3 = 100π cm^3

Volume of the hemisphere:

The volume of a hemisphere can be found using the formula: V = (4/3) * π * r^3, where r is the radius of the hemisphere.

Plugging in the values, we get:

V = (4/3) * π * 5^3 = (4/3) * π * 125 = 500π / 3 cm^3

Total volume of the toy:

The total volume of the toy is equal to the sum of the volume of the cone and the volume of the hemisphere:

V = 100π + 500π / 3 = (100 + 500 / 3) * π = 600π / 3 cm^3

So, the total volume of the toy is 600π / 3 cubic centimeters.

Answer:

35/40 = (7*5)/(8*5) = 7/8

So the Lions won 7/8 of the games they played.

2) To write a decimal equivalent to 7/8, we can divide 7 by 8 using long division:

0.875

___________

8 | 7.000

- 6.4

_______

60

-56

____

40

-40

____

0

So 7/8 is equivalent to the decimal 0.875.

To write a percent equivalent to 7/8, we can multiply the decimal equivalent by 100:

0.875 * 100 = 87.5%

So the Lions won 87.5% of the games they played.

What we know:

Lets first convert the mixed partial fraction --> improper fraction

       --> for easier calculation

After Conversion:

To find how many scoops of birdseed will Samantha put into the feeder we must:

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

Solve:

  \(Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4\)

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

Answer

Step-by-step explanation:

Given to us:

\((a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10\)

Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.

(a)

\(x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\\) on solving this we will get zero.

hence, this is an additive inverse.

(b)

\(-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)\)  on solving this we will not be getting zero.

hence, this is not an additive inverse.

(c)

\(6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}\)  on solving this we will get zero.

hence, this is an additive inverse.

(d)

\(x-1;\ -x+1\\x-1+( -x+1)\)    on solving this we will get zero.

hence, this is an additive inverse.

(e)

\(-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10\)  on solving this we will not be getting zero.

hence, this is not an additive inverse.

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Answer:

2 times the difference of x minus 7 plus 10

Step-by-step explanation:

When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!

The probability that a randomly selected passenger has a waiting time greater than 1.25 minutes is 0.792.

The waiting times are uniformly distributed between 0 and 6 minutes. To find the probability of a waiting time greater than 1.25 minutes, we need to consider the remaining time in the interval, which is 6 - 1.25 = 4.75 minutes.

Since the total waiting time is uniformly distributed over 6 minutes, the probability of a waiting time greater than 1.25 minutes is the ratio of the remaining time to the total time. So, the probability is:

P(waiting time > 1.25) = (4.75 minutes) / (6 minutes) = 0.7917

Rounded to three decimal places, the probability is 0.792.

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

The answer is: K = 14.

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

D. More students preferred band or chorus than those that preferred football.

Step-by-step explanation:

I can easily tell D is the answer because 16+14=30. This means 30% liked band or chorus and 26% liked football.

Remember the left side of the chart isn't talking about total number of students. They are talking about percent.

Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

The equation of the function is −3<x<1. See the explanation below.

Given the graph of function f is a parabola,

Thus, equation of parabola  is y=(x+3)(x+1)

⇒y=x² +4x+3

⇒y−3+2²

= x²+2× x ×2+2²

⇒y+1=(x+2)²

We can rewrite this as

 (x+2)² =4× (1/4) ×(y+1)

Comparing the above equation to the equation of a parabola, (x−h)² =4a(y−k), where (h,k) is the coordinates of vertex of parabola, we have,

(h,k)≡(−2,−1)

Hence, the x coordinate of the vertex is −2 which lies in the interval −3<x<1

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Answer:

x+ 4x-85 = 90

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

x+ 4x-85 = 90

Combine like terms

5x - 85 = 90

Add 85 to each side

5x = 175

Divide by 5

5x/5 =175/5

x =35

Answer:

x (4-85)  =  -81x

Step-by-step explanation:

Equation: x (4-85)

Answer: x (4-85)

1: Find the missing side

2: add the other numbers

Hope this helps.

Work Shown:

m = (y2-y1)/(x2-x1)

m = (3-4)/(-2-1)

m = -1/(-3)

m = 1/3

Answer:

42.29 READ THE EXPLANATION

Step-by-step explanation:

i am guessing you mean the cost for 1 pound is 7.98 and he is getting 5.3 but if different do the steps, all you have to do is mutiple the unit rate (7.98) by how many pounds bought(5.3)

Answer:

b

Step-by-step explanation:

8*5=40

40*1/3=40/3

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

Where is the number I need to round to?

(Please don't give me a bad rating i'm trying to help :) )

Elena should choose the South Market to maximize her chance of buying both cherries and asparagus.

The study of random events or phenomena falls under the category of probability, which is a branch of mathematics. It is a scale between 0 and 1, with 0 denoting impossibility and 1 denoting certainty, used to convey the likelihood that an event will occur or not.

To determine which market Elena should choose to maximize her chance of buying both cherries and asparagus, we need to consider the probabilities of each market individually and calculate the probability of both events occurring together.

Given that the availability of cherries and the availability of asparagus are assumed to be independent, we can calculate the joint probability by multiplying the probabilities of each event.

Let's calculate the joint probability for each market:

North Market:

Probability of cherries = 0.96

Probability of asparagus = 0.5

Joint probability = Probability of cherries * Probability of asparagus = 0.96 * 0.5 = 0.48

South Market:

Probability of cherries = 0.8

Probability of asparagus = 0.65

Joint probability = Probability of cherries * Probability of asparagus = 0.8 * 0.65 = 0.52

Comparing the joint probabilities, we find that the joint probability of finding both cherries and asparagus is higher at the South Market (0.52) compared to the North Market (0.48).

Therefore, Elena should choose the South Market to maximize her chance of buying both cherries and asparagus.

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The point of maximum growth rate for the function is (1.4, 15)

From the question, we have the following parameters that can be used in our computation:

f(x) = 30/(1 + 2e⁻⁰.⁵ˣ)

A logistic function is represented as

f(x) = M/(1 + ceⁿᵇ)

And the point of maximum growth rate for the function is calculated as

x = ln(c)/n

y = M/2

In this case,

M = 30, c = 2 and n = -0.5

Substitute the known values in the above equation, so, we have the following representation

x = ln(2)/(0.5) = 1.4

y = 30/2 = 15

Hence, the point of maximum growth rate for the function is (1.4, 15)

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Given z²+1/z² =14

using above equation,

z²+1/z² = 14

add 2 on both side,

z² + 1/z² + 2 = 14 + 2

the LHS is whole square of z + 1/z

so we can write it

(z + 1/z)² = 16z + 1/z = 4

Now we know,

(a + b)³ = a³ + b³ + 3ab(a+b)

here, a = z and b = 1/z,

substituting a and b in equation we will get,

(z + 1/z)³ = z³ + 1/z³ + 3z/z( z+ 1/z)

4³ = z³ + 1/z³ + 3×4

z³+ 1/z³ = 64-12

z³ + 1/z³ = 52

Answer:

52.

Step-by-step explanation:

Using the identity a^3 + b^3 = (a + b)(a^2 - ab + b^3):

z^3 + 1/z^3 = (z + 1/z)(z^2 - z *1/z + 1/z^2)

= (z + 1/z) (z^2 - 1 + 1/z^2)

= (z + 1/z) (14 - 1 )

= 13(z + 1/z).

Now using the identity a^2 + b^2 = (a + b)^2 - 2ab:

z^2 + 1/z^2 = ( z + 1/z)^2 - 2(z * 1/z)  = 14 So:

( z + 1/z)^2 - 2 = 14

( z + 1/z)^2 = 16

Taking z + 1/z = 4 we therefore have:

z^3 + 1/z^3 =  13 * 4 = 52.

To find an antiderivative F(x) of the function f(x) = -4x² + x - 2 such that F(1) = a, we need to integrate each term individually. The antiderivative of -4x² is -(4/3)x³, the antiderivative of x is (1/2)x², and the antiderivative of -2 is -2x.

Adding these antiderivatives together, we get:

F(x) = -(4/3)x³ + (1/2)x² - 2x + C,

where C is the constant of integration.

Now, we set F(1) = a:

F(1) = -(4/3)(1)³ + (1/2)(1)² - 2(1) + C = a.

Simplifying the equation, we have:

-(4/3) + (1/2) - 2 + C = a,

(-4/3) + (1/2) - 2 + C = a,

-8/6 + 3/6 - 12/6 + C = a,

-17/6 + C = a. Therefore, the constant C is equal to a + 17/6, and the antiderivative F(x) becomes:

F(x) = -(4/3)x³ + (1/2)x² - 2x + (a + 17/6).

This expression represents an antiderivative of the function f(x) = -4x² + x - 2 such that F(1) = a. Now, let's find a different antiderivative G(x) of the function f(x) = -4x² + x - 2 such that G(1) = -15. Using the same process as before, we integrate each term individually: The antiderivative of -4x² is -(4/3)x³, the antiderivative of x is (1/2)x², and the antiderivative of -2 is -2x. Adding these antiderivatives together and setting G(1) = -15, we have:

G(x) = -(4/3)x³ + (1/2)x² - 2x + D, where D is the constant of integration.

Setting G(1) = -15:

G(1) = -(4/3)(1)³ + (1/2)(1)² - 2(1) + D = -15.

Simplifying the equation, we get:

-(4/3) + (1/2) - 2 + D = -15,

-8/6 + 3/6 - 12/6 + D = -15,

-17/6 + D = -15,

D = -15 + 17/6,

D = -90/6 + 17/6,

D = -73/6.

Therefore, the constant D is equal to -73/6, and the antiderivative G(x) becomes: G(x) = -(4/3)x³ + (1/2)x² - 2x - 73/6.

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Answer:

2.

Step-by-step explanation:

the coin could be heads or tails, but knowing me prolly 3 because I would lose the coin when I flip it.

Answer:

The possible outcomes when a coin is tossed one time are heads and tails. therefore, the number of possible outcomes is 2.

Step-by-step explanation:

I hope it's helpful!

To calculate the probability that two given persons are adjacent when six people seat themselves at a round table, we need to consider the total number of seating arrangements and the number of arrangements where the two given persons are adjacent.

Total Number of Seating Arrangements:

The total number of seating arrangements for six people at a round table can be calculated as (6-1)! = 5!, since we fix one person's position and arrange the remaining five people around the table.

Number of Arrangements with Two Given Persons Adjacent:

To calculate the number of arrangements where the two given persons are adjacent, we can consider them as a single entity. So we have 5 entities (including the pair of adjacent persons) to arrange around the table. The number of arrangements for these entities is (5-1)! = 4!.

Therefore, the probability that the two given persons are adjacent is given by:

Probability = Number of Arrangements with Two Given Persons Adjacent / Total Number of Seating Arrangements

= (4!) / (5!)

= 1/5

= 0.2 or 20%

So, the probability that the two given persons are adjacent when six people seat themselves at a round table is 0.2 or 20%.

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Answer:

11 and 6 respectively

Step-by-step explanation:

1st number=x

2nd number=x-5

three times the second number=3(x-5)=3x-15

3x-15+x=29

put the liketerms together=3x+x=29+15

4x=44

(divide both sides by 4)x=11