Mary earns $12 per hour, plus 10% commission on all her sales. Mary worked 10 hours and her sales were $1500. How much money did Mary earn?

The time it will take for a sample of this substance to decay to 20% of its original amount

t=16973.294years

This is further explained below.

The amount of time needed for a quantity to decrease to half of its original value is referred to as its half-life.

In nuclear physics, this word is often used to define the rate at which unstable atoms undergo radioactive decay or the amount of time stable atoms are able to persist.

Additionally, the phrase may be used in a broader sense to define any form of exponential decline.

Generally,

A = A0e^{-kt}

Therefore

A(t) = A0e^{[ln(0.5) / 7310 t}, t in years

0.20 = e^{ln(0.5) / 7310 ]t}

Solve for t.

ln(0.20) = [ln(0.5) / 7310 ]t

t = 7310 [ln(0.20) / ln(0.5)]

t=16973.294years

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Based on the graph of the function shown, we can logically deduce the following:

In Mathematics, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Also, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph of the given function shown above, we can reasonably infer and logically deduce the following:

In conclusion, we can reasonably infer and logically deduce that the function which this graph represents is a piecewise function.

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The table that shows a proportional relationship between the variables a and b is Table B, which is the second table graphed.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Hence, a data-set such as a table will represent a proportional relationship if the ratio between the output and the input is the same for all the terms of the relationship.

In this problem, we have that:

In the context of this problem, the tables are missing, and are given by the image at the end of the answer.

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Answer:

its D.

Step-by-step explanation:

i did the test.

The required logarithm in the form log(c) is log(12).

The inverse function to exponentiation in mathematics is called the logarithm. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐ n.

Given:

log(4) + log(3)

Using the product property of logarithms, which states that a product's logarithm is equal to the sum of its logarithms.

log(ab) = log a + log b

Here, a = 4 and b = 3

So, log(12) = log(4) + log(3)

Therefore, the required logarithmic function in the form log(c) is log(12).

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The probability that a person who is alive at age 10 will not be alive at age 70 if the following is true for males and Female is

This is further explained below.

Generally, A number that expresses the possibility or likelihood that a certain event will take place is referred to as its probability. Both proportions and percentages with values ranging from 0 to 1 may be used to indicate probabilities. Proportions can range from 0 to 1, while percentages can range from 0 to 100.

Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.

A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.

The characteristic or condition of being probable; the degree to which something is likely to occur or be the case. the likelihood of anything happening or something is the case.

In conclusion,

P(not alive at age 70 | male)

=(99065-72066)/99065

=0.273

As fraction

=26999/99065​

P(not alive at age 70 | female)

=(99228-81944)/98983

0.17461

As fraction

17284/98983​

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Using unitary method we conclude that, 3.33 pounds of tomatoes will go into each tub.

In this question, we have been given a sub shop ordered 40 pounds of tomatoes.

The tomatoes are evenly distributed into 12 tubs.

We need to find the number of pounds of tomatoes will go into each tub.

Let x be the number of pounds of tomatoes will go into each tub.

By unitary method,

x = 40 / 12

x = 3.33 pounds

Therefore by using unitary method we conclude that, 3.33 pounds of tomatoes will go into each tub.

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Answer:

Step-by-step explanation:

Answer

I hope this is not the tip!

Total Cost of the meal              15.96

Menu Cost                                 15.20               Subtract

Tax                                                  .76    

The tax on the meal is 76 cents or 0.76 dollars.

The final price of the television is  $299.53.

Discount is somewhat a reduction in the actual or usual price of the object or service. Whereas, tax is the money that we have to pay to the government.

Price of television before discount = $375.00      (given)

Discount given = 25%                                             (given)

25% of $375 is,

$375* (25/100)= $93.75.

The cost of the television after sale off and before the sales tax is:

$375- $93.75= $281.25

The sales tax = 6%                                                    (given)

$281.25* (6.5/100)= $18.28

The price of the television including everything is,

$281.25+ $18.28= $299.53

Therefore, we can conclude the the final price of television is $299.53.

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Using the Rule of 70, it is found that after 40 years, the ratio of country B's GDP to country A's is of 2.

The rule of 70 is a rule that is used to determine how long it takes for an amount to double, dividing 70 by the variable's growth rate, as a percentage.

Country A grows at 3.5 percent per year, hence the time it takes to double is:

70/3.5 = 20 years.

Hence in 40 years, it's GDP will be of:

4n, in which n is the current GDP, and 4 because it will have doubled twice.

Country B grows at 7 percent per year, hence the time it takes to double is:

70/7 = 10 years.

Hence in 40 years, it's GDP will be of:

8n, in which n is the current GDP, and 8 because it will have doubled three times.

Then the ratio of country B's GDP to country A's will be of:

8n/4n = 2.

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Answer:We want to use distributive property to express:

Using distributive property,

Explanation:

8 is a common factor of 40 and 56, so we can write:

as

S

a.) A triangle is equal to 2 squares.

b.) For this triangle it is equal to 3 circles

c.)  Each star is 1 circle

"Your name" solved this by for example question a, splitting the squares on right's into two sections of 2 and 2 which helped me understand that one triangle is equal to 2 squares

The values of the swimmer is 305 yards which is less than 350 yards required, thus the course is not suitable for swimmer.

For the given question;

The data of the swimming is given as;

The life guard requirement is -

To compare the requirements, convert the given values in feet to yard.

1 foot = 0.33 yards.

915 feet = 0.33×915 yards

915 feet = 305 yards

305 yards < 350 yards, not suitable.

18 feet under water.

18 feet = 0.33×18 yards

18 feet = 6 yards , suitable

Tread water at least 4 minutes > Tread water at least 2 minutes required, suitable.

As, the values of the swimmer is 305 yards which is less than 350 yards required, thus the course is not suitable for swimmer.

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We can evaluate the function as follows:

Then, the function evaluated in f(13) is equal to -41, f(13) = -41.

The resulting factors on factorizing the expression is (x+2)(x+3).

Quadratic equations are equation that has a leading degree of 2.

Writing a number or other mathematical object as the sum of several factors typically smaller or simpler things of the same kind—is known as factorization or factoring.

Given the quadratic equation below:

x^2 + 5x + 6

Factorize to have:

x^2 + 2x + 3x + 6

Group

(x^2+2x)+(3x+6)

Factor out the common variable or value

x(x + 2) + 3(x + 2)

Find the factors

(x+3)(x+2)

Hence the factored form of the expression in its simplest form is (x+2)(x+3)

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Complete question

Factorize x^2 + 5x + 6

The slope of the line is 60 and speed of the bus is 60 miles per hour

The slope of the line is the measure of the steepness. In other words the slope of the line is the change in y coordinate with respect to the change in x coordinate.

Here the points are

(1,60) and (2,120)

The slope of the line m =[tex]\frac{y_{2}-y_{1} }{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the points

Substitute the values in the equation

The slope of the line m = [tex]\frac{120-60}{2-1}[/tex]

= 60

The speed = Distance / Time

Take one point (2,120)

The distance = 120 miles

Time = 2 hours

The speed = 120/2

= 60 miles per hour

Hence, the slope of the line is 60 and speed of the bus is 60 miles per hour.

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If June has 72 gallons of punch for a party and June carries the punch in two different full coolers. The bigger cooler is five times as large as the smaller cooler, then the capacity of smaller cooler is 12 gallons and the capacity of bigger cooler is 60  gallons

The bigger cooler is five times as large as the smaller cooler

Consider the capacity of smaller cooler as x

The capacity of bigger cooler=5x

June has 72 gallons of punch for a party

Then the linear equation will be

x+5x=72

6x=72

x=12

Then the capacity of bigger cooler=5x

=5×12

=60

Hence, if June has 72 gallons of punch for a party and June carries the punch in two different full coolers. The bigger cooler is five times as large as the smaller cooler, then the capacity of smaller cooler is 12 gallons and the capacity of bigger cooler is 60  gallons

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The outlier for Hits in league A is 40

The outlier for Hits in league B is 260

An outlier can simply be defined as a data point that varies enormously or significantly from other recorded observations in a data set.

It occurs due to certain variability in the measurement of a data set or research.

It is known as an indicator of experimental errors.

It is also known to be the cause serious of errors in statistical analyses.

From the images shown, we have;

For Hits in league A;

The data set is; 20 - 40, 100 - 120, 120 - 140, 140 - 160, 160 - 180, 180 - 200, 200 - 220

We can see that the outlier is 40

For Hits in league B;

The data set is;  120 - 140, 140 - 160, 160 - 180, 180 - 200, 200 - 220, 240 - 260

The outlier is 260

Hence, the outliers are 40 and 260

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STEP - BY - STEP EXPLANATION

What to find?

Determine how much greater the average rate of change over the interval [ 7, 9] than the interval [4, 6].

Given:

Step 1

Calculate the average rate of change over the interval [ 7, 9] using the formula below:

a= 7 f(a)=1852

b=9 f(b)=3878

Substitute the values into the formula and simplify.

Step 2

Calculate the average rate of change over the interval [4, 6] using the same formula in step 2.

a=4 f(a)=358

b=6 f(b)=1178

Step 3

Compare the average rate of change over the two intervals.

Clearly, the average rate of change over the the interval [7, 9] is greater than the average rate of change over the interval [4, 6].

ANSWER

T

Answer:

h= 6

Step-by-step explanation:

To find out the value of h, start by forming an equation for the cost of renting a trampoline:

Cost of renting= $(75 +8t), where t is the rental duration.

When the cost is $125,

75 +8t= 125

Subtract 75 from both sides:

8t= 125 -75

8t= 50

Divide both sides by 8:

t= 50 ÷8

t= 6.25

Since she wants to spend less than $125, let's round the value down to the nearest hour.

∴ h= 6

Thus, she could rent it for 6 hours.

Let's check!

Total cost of renting for 6 hours

= 6(8) +75

= $123

Total cost of renting for 7 hours

= 7(8) +75

= $131

Hence, 6 hours is indeed the maximum number of hours she can rent the trampoline for, such that the total cost is less than $125.

Using it's concept, there is a 0.3913 = 39.13% probability of picking a non poisonous animal or a spider.

A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.

In the context of this problem, we have that:

Applying it's concept, of desired outcomes divided by total outcomes, the probability of picking a non poisonous animal or a spider is given as follows:

p = 9/23 = 0.3913 = 39.13%.

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Step-by-step explanation:

[tex]i = prt \div 100[/tex]

p=539

r=17%

t=21

I=?

[tex]i = 539 \times 17 \times 21 \div 100[/tex]

Dallas, Texas, had a population of about 1 x 106 peoples in that specific year. There were above 3×10⁶ people in Los Angeles; The population of Pittsburgh was about 0.3 times of Dallas.

Given that,

Dallas, Texas, had a population of about 1 x 106 peoples in that specific year. If Los Angeles, California, had a population of

There were almost three times as many people there as in Dallas.

peoples who called Los Angeles home in that year.

In the same year, there were about 3 x 105 peoples living in Pittsburgh, Pennsylvania. one from Dallas.

In Dallas the population is P₁=1×10⁶

Then in Las Angeles the population is P₂=3P₁=3(1×10⁶)= 3×10⁶

In Pittsburgh the population is P₃=3×10⁵

P₃÷P₁=(3×10⁵)÷(1×10⁶)=0.3

Therefore, There were above 3×10⁶ people in Los Angeles; The population of Pittsburgh was about 0.3 times of Dallas.

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Using ratio we can conclude that Recipe 1 and recipe 2 tastes the same.

The multiplicity of two integers is shown by a ratio. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.

Let us consider the ratio of the orange juice top the pineapple juice for the 3 recipes.

Recipe 1 = 4 : 6 = 2 : 3

Recipe 2 = 6 : 9 = 2 : 3

Recipe 3 = 9 : 12 = 3 : 4

Hence from the above ratios we can conclude that Recipe 1 and recipe 2 tastes the same.

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Answer:Definition of Midpoint-A

Step-by-step explanation:

Answer:

Step-by-step explanation:

$2143.5 = $62.75x - $888.5.

Factories produce a total of 21550 gallons in a calendar year.

The gallon is used as a unit of volume in both imperial and US customary measurements.

Eight pints make up a gallon, which is a unit of measurement for liquids. It is equivalent to roughly 4.546 litres in Britain. It is roughly equivalent to 3.785 litres in America.

Lemonade, it has been stated, equals 11,650 gallons.

Lemonade = 4,950 fewer than ice tea.

Ice tea: 3,500 fewer than Root beer.

Using the formula Ice tea = 11,650 - 4,950

6700 gallons of iced tea

Root beer = 6700 - 3,500

3200 gallons equals root beer.

Total manufacturing output for a year is equal to 11,650 + 6700 + 3200

Thus, 21550 gallons are produced in total by factories each year.

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Answer:

234

Step-by-step explanation:

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