Jacob earned $370 walking dogs over the summer. He put 30% of what he earned into his savings account.

How much money did Jacob put into his savings account?

Enter your answer in the box.

Answer:

c.6n(n3-4n2+3)

Step-by-step explanation:edge2020

Answer:c

Step-by-step explanation:

Given:

To solve, we can use a table of values:

Y valueX value

16-3

9-2

4-1

10

01

12

As we can see from the table, f(x) =0 when x =1.

Thus x = 1 is a solution to our equation.

The answer is O Congruent supplementary angles each have a measure of 90 or –12 + 11 < –1; true.

This can be proven by using the following formula:

p: 60 seconds = 1 minute

q: Congruent supplementary angles each have a measure of 90.

r: –12 + 11 < –1

For p, we can use the formula to calculate the number of minutes:

60 seconds * 1 minute = 60 minutes.

Therefore, 60 seconds = 1 minute.

For q, we can use the formula to calculate the measure of each angle:

2x = 90

Therefore, each angle has a measure of 45°.

For r, we can use the formula to calculate the result of the operation:

–12 + 11 = –1

Therefore, –12 + 11 < –1 is true.

In conclusion, the compound statement “Congruent supplementary angles each have a measure of 90 or –12 + 11 < –1” is true.

Learn more about Congruent supplementary angles here:

https://brainly.com/question/1626471

#SPJ4

Explanation:

The error is 42-40 = 2 meters

Divide this over the actual width

2/42 = 0.0476 = 4.76% approximately

This rounds to 5%

Answer:

D. 5%

Step-by-step explanation:

Percent Error = (|40 - 42| / 42) × 100

Percent Error = (2 / 42) × 100

Percent Error ≈ 4.76%

We need 65 ml of 50% mixture to obtain the desired solution.

Here, we need to make a 25% alcohol solution by mixing some amount of 50% alcohol mixture with 325 mL of a 20% alcohol mixture.

Let the amount of 50% alcohol solution be x

The the quantity of alcohol in 50% alcohol solution = 50% of x

= 0.5x

Similarly the the quantity of alcohol in 20% alcohol solution = 20% of 325

= 65ml

The total quantity of 25% alcohol solution = (325 + x) ml

Thus, the the quantity of alcohol in 25% alcohol solution = 25% of (325 + x)

= 0.25 (325 + x)

= 81.25 + 0.25x

Thus, we can form the following equation-

0.5x + 65 = 81.25 + 0.25x

0.5x - 0.25x = 81.25 - 65

0.25x = 16.25

x = 16.25/ 0.25

x = 65

Thus, we need 65 ml of 50% mixture to obtain the desired solution.

Learn more about weighted averages here-

https://brainly.com/question/24398353

#SPJ9

$60

Step-by-step explanation:

The unit rate can be determined by dividing $24 by 8 attendees to get

\(\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}\)

so when 20 people are attending the graduation picnic, his total cost is going to be

\(20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60\)

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

#95141404393

Answer:

0.833

Step-by-step explanation:

Answer:

Step-by-step explanation:

As,

\( \frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30} \)

and,

\( \frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30} \)

The probability that the person is between 67.1 and 68.3 inches, using the normal distribution, is of:

0.1056 = 10.56%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the heights of UCB students are given as follows:

\(\mu = 65, \sigma = 2.4\)

The probability that the person is between 67.1 and 68.3 inches is the p-value of Z when X = 68.3 subtracted by the p-value of Z when X = 67.1, hence:

X = 68.3:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (68.3 - 65)/2.4

Z = 1.38.

Z = 1.38 has a p-value of 0.9162.

X = 67.1:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (67.1 - 65)/2.4

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

0.9162 - 0.8106 = 0.1056 = 10.56%.

The problem asks for the probability that the person is between 67.1 and 68.3 inches.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

The expression, how much fewer means less. If the number of medals won by Australia is a and the number of medals won by Great britain is 47, an expression to show how many fewer medals Australia won than great britian. Australia would be

47 - a

Olivia can buy  $ 62 Australian dollars

The Australian dollar is the currency spent in australia

Since Olivia lives in Sydney, Australia. Her grandmother lives in Paris, France. For Christmas, she received €40 from her grandmother. To find out how many Australian dollars she can buy, we need to know how to the conversion factor for  1 € to Australian dollar.

Conversion factor is the factor in which we use to change from one unit to another.

We know that € 1 = $ 1.55 Australian dollar

So, €40 = 40 × € 1

= 40 × $ 1.55 Australian dollar

= $ 62 Australian dollars

So, Olivia can buy  $ 62 Australian dollars

Learn more about conversion factor for Australian dollar here:

https://brainly.com/question/8020216

#SPJ1

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Given:

Radius of circle r is 18 cm.

angle

Required:

We need to find the arc length in cm

Explanation:

The formula to find arc length is

Substitute the values in the formula

Final answer:

Arc length of given circle is 47.1 cm

Answer:

a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

b) The expected number of available places when the limousine departs is 0.1.

c) \(P(X = 3) = 0.09\)

\(P(X = 4) = 0.25\)

\(P(X = 5) = 0.32\)

\(P(X = 6) = 0.34\)

Step-by-step explanation:

For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is given by:

\(E(X) = np\)

The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

This means that \(n = 6\)

35% of all those making reservations do not appear for the trip.

This means that 100 - 35 = 65% appear, so \(p = 0.65\)

A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So

\(P(X > 4) = P(X = 5) + P(X = 6)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437\)

\(P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754\)

\(P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191\)

0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

B) If six reservations are made, what is the expected number of available places when the limousine departs?

The expected number of arrivals is given by:

\(E(X) = np = 6*0.65 = 3.9\)

Since the are four places:

4 - 3.9 = 0.1

The expected number of available places when the limousine departs is 0.1.

C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

This is the probability of each outcome. So

\(P(X = 3) = 0.09\)

\(P(X = 4) = 0.25\)

\(P(X = 5) = 0.32\)

\(P(X = 6) = 0.34\)

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

To know more about mixed number, visit:
https://brainly.com/question/414559
#SPJ1

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

For similar question on amount invested.

https://brainly.com/question/2720767  

#SPJ8

Answer:

it would be a 50% chance

Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)

The inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

Consider two point on dotted line.

(-1, 0) and (-2, 1)

Fine slope m:

m = (1 - 0)/(-2 + 1)

m = -1

Equation of line:

y - 0 = (-1)(x + 1)

y = -x -1

In the  inequality system.

y < -x -1

Consider two point on bold line.

(0,2) and (-2, 0)

Fine slope m:

m = (0 - 2)/(-2 -0)

m = 1

Equation of line:

y - 2 = (1)(x + 0)

y = x + 2

In the inequality system.

y ≤ x + 2

Thus, the inequality system that is represented in the graph are-

y < -x -1 and y ≤ x + 2.

know more about the inequality system

https://brainly.com/question/11897796

#SPJ1

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

For more such answers on incomes

https://brainly.com/question/28414951

#SPJ8

Answer:

\(2x(x+3)(x + 4)\)

Step-by-step explanation:

To factor \(2x^3+14x^2+24x\)

First, factor out the common term \(2x\):

\(\implies 2x(x^2+7x+12)\)

Now factor the expression in the parantheses:  \(x^2+7x+12\)

Find two numbers that multiply to 12 and sum to 7:  3 and 4

Rewrite \(7x\) as the sum of these 2 numbers:

\(\implies x^2+3x + 4x+12\)

Factorize the first two terms and the last two terms separately:

\(\implies x(x+3) + 4(x+3)\)

Factor out the common term \((x+3)\):

\(\implies (x+3)(x + 4)\)

Therefore, the final factorization of the polynomial is:

\(\implies 2x (x+3)(x + 4)\)

Let's factor up

So

[Can be interchanged]

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

Learn more about tangent function, click;

https://brainly.com/question/28994024

#SPJ1

Answer:

D

Step-by-step explanation:

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

Learn more about solutions to the system of inequalities here:

https://brainly.com/question/16339562

#SPJ1

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

A linear pair of angles is formed when two lines intersect. That's why it's said that these angles are supplementary because they sum 180 degrees.

Statement Reason.

1. Angle 1 and 2 are a linear pair. Given.

2. Angle 2 = 115. Given.

3. Angle 1 + Angle 2 = 180. Definition of linear pairs.

4. Angle 1 + 115 = 180. By statement 2.

5. Angle 1 = 180-115 = 65 Subtracting on both sides by 115.