1. To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per
hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8
hours per week. How many hours should she spend doing each type of work?
a
First define your variables.
b. Write two equations, one that represents the condition on the total number of hours to be
worked and the other which relates the number of hours worked at each job towards her
goal.

Answer:

I got 9/20

Hope that helps!

9514 1404 393

Answer:

Step-by-step explanation:

The graph shows price decreases with age, so the minimum price will be associated with cars that are 3 years old. We read from the graph that the price of a 3-year-old car is about $11,600. (This is slightly more than halfway between the $11,000 and $12,000 grid lines.)

The maximum will be associated with a 2-year-old car. We can read the graph to find the price of a 2-year-old car is $14,000. That value is on the grid line, so no guessing is necessary.

Then we have ...

  minimum: $11,600

  maximum: $14,000

_____

Additional comments

We'd like to check our guess of the minimum using the given price equation. Filling in x=3 in the equation, we get ...

  2400·3 +6800 = 7200 +6800 = 14,000 . . . . matches the maximum, not the minimum

We observe that the equation has a positive coefficient for x, so will be the equation of a rising line, not the falling one shown on the graph.

For "fun", we can check to see what the equation gives for x=2:

  2400·2 +6800 = 4800 +6800 = 11,600 . . . . matches the minimum, not the maximum

This gives us some confidence that our choice of numbers is correct, but makes it clear that the equation is incorrectly written.

The problem needs to be reported, so it can be fixed.

Answer:

x=20

Step-by-step explanation:

Hey there! I'm happy to help!

To find the x value of the midpoint, you add the x values and divide by 2.

3+(-9)=3-9=-6

-6/2=-3

And for the y value you add the y values and divide by 2.

-1+8=7

7/2=3 1/2

Therefore, our midpoint is (-3,3 1/2)

Have a wonderful day! :D

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Explanation:

We replace every copy of x with 5. Then we apply the order of operations PEMDAS to simplify.

f(x) = -2x+1

f(5) = -2(5)+1 ..... x replaced with 5

f(5) = -10+1

f(5) = -9

Answer:

Step-by-step explanation:

The given sequence is arithmetic because the difference between consecutive terms is constant. The common difference is 1, since the difference between each pair of consecutive terms is 1 (e.g., 5 - 4 = 6 - 5 = 1). The common difference can be expressed in simplest form as 1/1 = 1.

Answer:

it is arithmetic, 6-5=1, 5-4=1

Answer:

Step-by-step explanation:

True.

A Data Flow Diagram (DFD) is a graphical representation of a system or a process that shows how data flows through different components of the system. It provides a visual representation of the system's inputs, processes, and outputs.

While a DFD can provide information on the data that flows between the different components of a system, it does not provide any information about the timing or sequence of those processes. A DFD is a static diagram that only depicts the flow of data in a system and does not provide any indication of when or how frequently processes occur

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

1/15 each

Step-by-step explanation:

1/5 of chocolate is separated into 3

1/5 divided by 3 = 1/5 x 1/3 = 1/15 of the whole bar

The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%

(A) Using the given information, we can identify the following values:

P = $2,000 (the present value or initial deposit)

r = 4.5% (the annual percentage rate)

n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)

(B) To find the future value of the account balance after 9 years, we can use the formula:

\(S(t) = P(1 + r/n)^{nt}\)

where t is the time in years. Substituting the given values:

\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)

= $2,000(1.505016)

= $2985.17

Therefore, Monique will have $$2985.17 in the account in 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:

\(APY = (1 + \frac{r}{n})^n - 1\)

Substituting the given values:

\(APY = (1 + 0.045/2)^2 - 1\)

= 0.0445 or 4.45%

Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.

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We could expect $30.00 to gain after 20 tosses.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

The probability of all the events occurring need to be 1.

if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.

We need to find out How much would you expect to gain after 20 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 20 tosses.

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Answer:

B - fixed rental for the book.

Since for everyday the book is late the fee is 0.25 multiplied by X, X is the days the book is not returned.

Thus, the constant would be 2, 2 is the constant whereby the rental for the book regardless of other variables.

The correct option is b which tells that an optimal solution to a linear programming problem must lie at the intersection of at least two constraints.

Linear programming is an optimization technique that is fine for the purpose of getting the best solution such as maximizing profit or certain 4th-era quantities.

When there are just two choice variables, the graphic method of solving a linear programming issue can be employed.

It is fine by modelling real-life problems into mathematical models that have linear relationships or constraints such as in the form of objective functions.

In linear programming, an objective function defines the formula for quantity optimization and the goal from this is to determine variable values that maximize or minimize the objective function depending on the problem robbery solved.

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A) 122 degrees because it's an obtuse angle so the inner layer numbers is the ones you need to pick.

Answer:

57/100

Step-by-step explanation:

27/100 = 0.27

3/10 = .3

.27 + .3 = .57

.57 = 57/100

Answer:

57/100

Step-by-step explanation:

make the denominators the same

lcm of 10, 100= 100

27/100+30/100=57/100

Answer:

1/12

Step-by-step explanation:

Given that :

Spinner has four colors (purple, green, blue, or yellow)

Dice has six faces (1, 2, 3, 4, 5, 6)

Probability = required outcome / Total possible outcomes

Probability of green, p(green) = 1/ 4

P(rolling 5 or 6) = p(5) + p(6) = 1/6 + 1/6 = 2/6 = 1/3

P(green) and then rolling a 5 or 6

P(green) * p(rolling 5 or 6)

(1/4) * (1/3) = 1/12

Answer:

4 words per minute

Step-by-step explanation:

In 6 minutes Rite typed 24 words, 24 divided by 6 is 4

Answer:

D

Step-by-step explanation:

I think

If Aaron is designing a party game in which he needs exactly 24 possible outcomes, then he can use the following sets of actions to have a statistically fair game from the Statistics point  of view,

Toss a coin twice, and then then roll a 6-sided number cube.

How can he play a statistically fair game to get exactly 24 outcomes?

The game has 24 alternative outcomes, as far as we know. The next step is to identify a series of activities that produces 24 distinct outcomes with equal probabilities.

The first of the alternatives is the only one with a sample space of 24 elements.

Flip two coins, then roll a D6.

The results of each coin toss are 2:  (tails and heads).

There are 6 outcomes for the D6: (1, 2, 3, 4, 5, 6)

The combined outcomes of the two throws and rolling the number are then given by the product between the numbers of outcomes for each individual part, as solved below:

C = 2 × 2 × 6

C = 24

Thus, by tossing a coin twice, and then then rolling a 6-sided number cube, Aron can play a statistically fair game if h needs exactly 24 outcomes.

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Based on the provided evidence, the analysis suggests that "b" is more likely than 20% to be the correct choice

To evaluate whether "b" is more likely than 20% to be the correct choice, we can conduct a hypothesis test. The null hypothesis (H0) assumes that the probability of "b" being the correct choice is 20% (or 0.2), while the alternative hypothesis (Ha) assumes that the probability is greater than 20%.

Using the binomial distribution, we can calculate the expected number of questions with "b" as the correct choice if the probability is 20%. In this case, the expected number would be 0.2 multiplied by the total number of questions (400), resulting in 80 questions.

Next, we can perform a one-sample proportion test to determine if the observed proportion of 90/400 (0.225) significantly deviates from the expected proportion of 0.2. By comparing the observed proportion to the expected proportion using appropriate statistical tests (such as a z-test or chi-square test), we can assess if the difference is statistically significant.

If the p-value associated with the test is less than the chosen significance level (commonly 0.05), we can reject the null hypothesis and conclude that "b" is more likely than 20% to be the correct choice.

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Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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Answer:

4^3 x 5^2

Step-by-step explanation:

The expected instantaneous rate of change, denoted as r, for a geometric Brownian motion stock price (St) represents the average rate at which the stock price is expected to change at any given point in time. It is typically expressed as a constant or a deterministic function.

On the other hand, the expected return, denoted as r - 0.5σ^2, on the stock ln(St) over an interval of time [0,t] represents the average rate of growth or change in the logarithm of the stock price over that time period. It takes into account the volatility of the stock, represented by σ, and adjusts the expected rate of return accordingly.

The key difference between the two is that the expected instantaneous rate of change (r) for the stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

In other words, the expected instantaneous rate of change focuses on the average rate of change at a specific point in time, disregarding the impact of volatility. On the other hand, the expected return over a given interval of time accounts for the volatility in the stock price and adjusts the expected rate of return to reflect the effect of that volatility.

The expected instantaneous rate of change (r) for a geometric Brownian motion stock price represents the average rate of change at any given moment, while the expected return (r - 0.5σ^2)t on the stock ln(St) over an interval of time considers the cumulative effect of volatility on the rate of return over that specific time period.

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Answer:

first step to balance the equation is :

multiply AL by 2 to match the amount of aluminum on the other side

balanced equation : 4 Al +3O2 → 2 ALO3

Step-by-step explanation:

Al + O2 → Al2O3

first step to balance the equation is :

multiply AL by 2 to match the amount of aluminum on the other side

but then you have to deal with the amount of O from both sides, we need to find the least common multiple between 2 and 3 which is 6

the best thing to balance the equation is to multiply O2 by 3 and O3 by2, then deal with the amount of AL which is 4 on the other side. last step is to multiply AL by 4 to balance the equation.

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

b = 40

Step-by-step explanation:

Let b= brownies made

b* 2/5 = brownies left over

b*2/5 = 16

Multiply each side by 5/2

b * 2/5 *5/2 = 16*5/2

b = 40

Answer:

40

Step-by-step explanation:

.4/.4 is 1 so 16/.4 is 40