Liam earned $328.65 at his summer jobs. He spent $136.60 and put the rest of the money in his savings account. Which equation and solution shows how much money, m, Liam saved?
A- $ 328.65 + $ 136.60= mm =$ 465.25
B- $ 136.60 × m = $ 328.65 m = $ 2.41
C- $ 136.60 + m = $ 328.65 m = $ 192.05
D- m − $ 136.60 = $ 328.65 m = $ 465.25

Answer:

Step-by-step explanation:

julie would be at the base of the tree diagram

then an arrow will be coming from the root saying two pairs ( they are then branched into 1/2 brown and 1/2 black)

Another  arrow will be coming from the root saying three pairs (they are then branched into 1/3 tan , 1/3 red , 1/3 white)

Another  arrow will be coming from the root saying two shirts(1/2 white , 1/2 gray)

I hope this helps

Answer:

A tree diagram shows all possible outcomes of two or more events.

Each branch is a possible outcome and can be labelled with a probability.

Step 1:  Draw lines (branches) to represent the first set of options (slacks). Write the outcomes on the ends of the branches (brown and black).

Step 2:  Draw the next set of branches to represent the second set of options (sweaters).  Write the outcomes on the ends of the branches (tan, red and white).

Step 3:  Draw the final set of branches to represent the last set of options (shirts).  Write the outcomes on the ends of the branches (white and gray).

We assume that the events in this scenario are independent so the probability of the first event happening has no impact on the probability of the second event or the third event happening.  Therefore, the probabilities are:

Write these on the branches.

Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Answer:

Rational numbers are fractions composed of integers. An integer is a number with no fractional part. So 7/8 is a ratio of whole numbers, which makes it rational. Negative or positive does not matter.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.

The probability of having a boy when a couple has six ​children is 63 / 64.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

A couple has six ​children, n = 6

The wanted event, p = 1 / 2

Calculate the probability of having a boy given by the following formula,

\(P(X) = nC_x px (1-p)n-x\)

Here, \(X\) = number of boys,

So,

P(X >= x) = 1 - P(X = 0)

P (X) = 1 - 6C₀ × (1 / 2) 0 × (1/2) 6

P (X) = 63 / 64

Therefore, the probability of having a boy when a couple has six ​children is 63 / 64.

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Answer:

(a) \(y \geq 4\)

(b) \(x >y\)

(c) \(32 x+25y = \$300\)

Step-by-step explanation:

We are given that a pen costs 32 cents and a pencil costs 25 cents. Kwok buys x pens and y pencils.

We have to express each of the following statements as an inequality.

(a) Kwok buys at least 4 pencils;

As it is given that the number of pencils bought by Kwok is y pencils and our statement states that Kwok buys at least 4 pencils.

So, the inequality that represents the above situation is given by;

\(y \geq 4\)

(b) Kwok buys more pens than pencils;

As it is given that the number of pens bought by Kwok is x pens and the number of pencils bought by Kwok is y pencils and our statement states that Kwok buys more pens than pencils.

So, the inequality that represents the above situation is given by;

\(x >y\)

(c) Kwok spends no more than 3.00 dollars;

As we know that a pen costs 32 cents and a pencil costs 25 cents.

Also, Expenditure = Price \(\times\) Quantity

So, the inequality that represents the above situation is given by;

\(0.32 x+0.25y = \$3\)

\(32 x+25y = \$300\)

Answer:

$18.75

Step-by-step explanation:

Convert 25% to .25

Multiply 25 x .25

25 x .25 = 6.25

Subtract 6.25 from 25

25 - 6.25 = 18.75

Answer:

18.75

you take the percentage to a decimal 0.25 and x it by 25. which is 6.25. you then subtract the 6.26 from 25 and there's your answer

The 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

A z-score calculates how many standard deviations an observation is from the mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative.

For the 3-year-old boy, the z-score is:

z = (43 - 38) / 2 = 2.5

The z-score for the 10-year-old girl is:

z = (57 - 54.5) / 2.5 = 1

The 3-year-old boy has a higher z-score than the 10-year-old girl, indicating that he is more unusually tall for his age and gender. This is due to his height, which is higher than the average for his age group 38 inches .

Therefore, the 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

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Answer:

5km/hr

Step-by-step explanation:

Given

Distance = 3km and 2km

Time = 30 mins, 15 mins, 15 mins

Required

Determine the average speed

To answer this, we need to determine the total distance.

Distance =3km + 2km = 5km

Then, we calculate the total time

Time = 30 mins + 15 mins + 15 mins = 1 hr

Next, we can now determine the average speed using:

Average Speed = Total Distance/Total Time

Average Speed = 5km/1 hr

Average Speed = 5km/hr

Answer:

40 dollars

Step-by-step explanation:

25% of 16 minutes is 4 mins. 16+4=20 mins.

so 20*2=40 dollars

Answer:

The option that are correct is  option a and  option c

Step-by-step explanation:

From the question we are told that

   The sample space is  n =  6 (i.e six sides)  

     The number of even numbers in the sample space is  k  = 3 (i.e  2,4, 6)

Generally the probability of rolling an even number with a six-sided, equally weighted die is mathematically represented as

       \(P(E) = \frac{3}{6}\)

=>     \(P(E) = \frac{1}{2}\)

Find AB if AC = 13.2

And BC = 6.8

Step 1

isolate C in both equations

Step 2

Answer:

12 becayse u mulitigigivuvuu

Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

Answer:

AC = 20.5

BC = 14.5

Step-by-step explanation:

The distance from C to A is 6 cm longer than the distance from C to B.  gives us the following equation

AC = BC +6

We know the distance of the two segments gives us the total segment

AB = AC + BC

The total segment is AB =35

Substituting into AB= 35 and AC = BC+6

AB = AC + BC  

35 = (BC+6) + BC

Combing like terms

35 = 2 BC +6

Subtract 6 from each side

29 = 2 BC

Divide by 2

14.5 = BC

Now find AC

AC = BC+6

AC = 14.5+6 = 20.5

Answer:

TRUST Me

Step-by-step explanation:

AC=20.5

CB=14.5

:)

Based on given data,the solutions to the equation sin(x/2) = 2cos²x - 1 are:  x = 2kπ ± 2arcsin(√[(1 ∓ √2)/2]) where k is an integer

We can use the double angle formula for sine to express sin(x/2) in terms of cosine:

sin(x/2) = ±√[(1 - cos x)/2]

where the sign of the square root depends on the quadrant in which x lies.

Substituting this expression for sin(x/2) into the given equation, we have:

±√[(1 - cos x)/2] = 2cos²x - 1

Squaring both sides and simplifying, we get:

(1 - cos x) = 4cos⁴x - 4cos²x + 1

Rearranging, we get:

4cos⁴x - 4cos²x - cos x = 0

Dividing both sides by cos x and substituting u = cos²x, we have:

4u² - 4u - 1 = 0

Using the quadratic formula, we get:

u = [4 ± √(16 + 16)]/8 = [1 ± √2]/2

Since u = cos²x, we have:

cos²x = [1 ± √2]/2

Taking the square root of both sides and using the identity

cos(x) = ±√(1 - sin²(x)), we get:

cos x = ±√[(1 ± √2)/2]

Substituting this back into the original equation, we get two possible solutions:

sin(x/2) = ±√[(1 - cos x)/2] = ±√[(1 ∓ √2)/2]

Therefore, the solutions to the equation are:

x = 2kπ ± 2arcsin(√[(1 ∓ √2)/2])

where k is an integer.

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Answer:

C. 26 yards

Step-by-step explanation:

Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA

Use the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to find the distance between vertexes.

Distance between A(-5, 5) and B(0, 5)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( B(0, 5) = (x_2, y_2) \)

\( AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} \)

\( AB = \sqrt{(5)^2 + (0)^2} \)

\( AB = \sqrt{25 + 0} = \sqrt{25} \)

\( AB = 5 \)

Distance between B(0, 5) and C(4, 2)

Let,

\( B(0, 5) = (x_1, y_1) \)

\( C(4, 2) = (x_2, y_2) \)

\( BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} \)

\( BC = \sqrt{(4)^2 + (-3)^2} \)

\( BC = \sqrt{16 + 9} = \sqrt{25} \)

\( BC = 5 \)

Distance between C(4, 2) and D(1, -2)

Let,

\( C(4, 2) = (x_1, y_1) \)

\( D(1, -2) = (x_2, y_2) \)

\( CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} \)

\( CD = \sqrt{(-3)^2 + (-4)^2} \)

\( CD = \sqrt{9 + 16} = \sqrt{25} \)

\( CD = 5 \)

Distance between D(1, -2) and E(-2, -2)

Let,

\( D(1, -2) = (x_1, y_1) \)

\( E(-2, -2) = (x_2, y_2) \)

\( DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} \)

\( DE = \sqrt{(-3)^2 + (0)^2} \)

\( DE = \sqrt{9 + 0} = \sqrt{9} \)

\( DE = 3 \)

Distance between E(-2, -2) and F(-5, 2)

Let,

\( E(-2, -2) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} \)

\( EF = \sqrt{(-3)^2 + (4)^2} \)

\( EF = \sqrt{9 + 16} = \sqrt{25} \)

\( EF = 5 \)

Distance between A(-5, 5) and F(-5, 2)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} \)

\( FA = \sqrt{(0)^2 + (-3)^2} \)

\( FA = \sqrt{0 + 9} = \sqrt{9} \)

\( FA = 3 \)

Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

Answer:

31 + 32 + 33 = 96.

Step-by-step explanation:

I think you are meaning 96 not -96

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer: 12

Step-by-step explanation: .2 * 60 = 12

Answer:  0.33333 (Rounded to fifth decimal place)

Step-by-step explanation:

Answer:

5n + 2 > 3 (If you're writing the equation)

n > 1/5 (If you're solving for n.

Step-by-step explanation:

Answer: n > 1/5

Step-by-step explanation:

2 + 5n > 3

5n > 1

n > 1/5

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The cost of wrapping both boxes would be = $1.13

Surface Area of a rectangular prism = 2 (lh +wh + lw )

where length = 0.6

width = 1

height =1.2

The surface area of Box A

= 2( 0.6×1.2+1×1.2+0.6×1)

= 2( 2.52)

= 5.04ft²

where length = 0.5

width = 1.6

height =1.6

Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)

= 2(4.16)

= 8.32ft²

The total area of the boxes = 5.04+8.32 = 13.36

But 6.79 = 80 ft²

X = 13.36ft²

make X the subject of formula;

X = 13.36×6.79/80

X = 90.7144/80

X= $1.13

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The solution to equation 1, 2, 3, 4, 5 and 6 are y = (-3/2) + 6, y = (-5/3) + 3,  y = (-1/5)x + 9/5, y = (1/4)x + 3/2, y = (-7/3)x + 3 and y = 6x + 3 respectively.

Given the linear equations in the question;

To make y the subject of the formula, we need to isolate y on one side of the equation by moving all other terms to the other side.

1) 3x + 2y = 12

Subtract 3x from both sides:

3x - 3x + 2y = -3x + 12

2y = -3x + 12

Divide each term by 2

2y/2 = -3x/2 + 12/2

y = (-3/2) + 6

2) 5x + 3y = 9

Subtract 5x from both sides:

5x - 5x + 3y = -5x + 9

3y = -5x + 9

Divide each term by 3

3y/3 = -5x/3 + 9/3

y = (-5/3) + 3

3) x + 5y = 9

Subtract x from both sides:

x - x + 5y = -x + 9

5y = -x + 9

y = (-1/5)x + 9/5

4) -2x + 8y = 12

8y = 2x + 12

y = (2/8)x + 12/8

y = (1/4)x + 3/2

5) -7x - 3y = -9

-3y = 7x - 9

y = (-7/3)x + 3

6) 6x - y = -3

-y = -6x - 3

y = 6x + 3

Therefore, the formula in terms of x is: y = 6x + 3.

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Answer:

what is the question?

Step-by-step explanation:

-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

Answer:

217 344/1000 or 217 43/125

Step-by-step explanation:

The Height is 10 inch and radius is 10 inch.

Volume is the quantity of space a thing occupies, whereas capacity is a measure of the substance it can store, such as a solid, a liquid, or a gas. While capacity can be measured in virtually any other unit, such as litres, gallons, pounds, etc., volume is measured in cubic units.

Given:

Volume = 10,000π in³

Volume of b= π r² h

So, 10,000π= π r² h

10,000 =  r² h

r² h = 10 x 10 x 10

r² h = 10² x 10

Now, comparing the values

r= 10 inch and h= 10 inch

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Refinancing could be a good option as it would result in a significant reduction in the monthly payment and the total interest paid over the life of the loan.

We have,

The down payment was 10% of the home price, which is:

0.10 x $140,000.

= $14,000.

The existing mortgage was for the remaining amount, which is:

$140,000 - $14,000

= $126,000.

We can use the loan payment formula to find the monthly payment.

The formula is:

P = (A / D) x (r / 12)

Where P is the monthly payment, A is the loan amount, D is the discount factor (a number that depends on the loan term and interest rate), and r is the annual interest rate.

For a 30-year loan at 8%, the discount factor is 166.7916.

Plugging in the numbers, we get:

P = ($126,000 / 166.7916) x (0.08 / 12) = $964.92

So the current monthly payment is $964.92.

The total interest paid over the life of the loan can be calculated using the formula:

Total interest = (P x n) - A

Where n is the total number of payments (30 years x 12 months = 360) and A is the loan amount.

Plugging in the numbers, we get:

Total interest = ($964.92 x 360) - $126,000 = $245,771.20

So the total interest paid over the life of the loan is $245,771.20.

The amount of remaining loan balance is $110,533.

The amount of the original loan paid off is $126,000 - $110,533 = $15,467.

The total amount paid to the loan company so far is the sum of all monthly payments over the last 10 years, which is:

10 x 12 x $964.92 = $115,790.40.

The total interest paid so far is the total amount paid to the loan company minus the original loan amount, which is:

$115,790.40 - $126,000 = -$10,209.60.

Note that the negative value means that the loan company paid you instead of you paying them, which is not possible.

This is because we are not considering any extra payments made towards the loan, and we are assuming that all payments were made on time.

In reality, interest accrues daily, so there may be small differences between the calculated and actual values.

The equity in the home is the current value minus the remaining debt, which is:

$180,000 - $110,533

= $69,467.

The new monthly payment can be calculated using the same loan payment formula but with a 6% interest rate and the remaining loan balance of $110,533.

The discount factor for a 30-year loan at 6% is 178.5962. Plugging in the numbers, we get:

P = ($110,533 / 178.5962) x (0.06 / 12) = $704.31

So the new monthly payment would be $704.31.

The monthly savings would be the difference between the old and new monthly payments, which is $964.92 - $704.31 = $260.61.

To calculate the total interest paid with the new loan, we need to add the interest paid over the first 10 years of the original loan to the interest paid on the new loan.

The interest paid over the first 10 years is $10,209.60 (as calculated in part 8).

The interest paid on the new loan can be calculated using the same formula as before but with the new monthly payment and loan

Based on the calculations, it seems that refinancing could be a good option as it would result in a significant reduction in the monthly payment and the total interest paid over the life of the loan. However, it is important to consider other factors such as closing costs and fees associated with refinancing, as well as the potential impact on credit score and financial goals before making a decision.

It may be helpful to consult with a financial advisor or mortgage specialist to determine if refinancing is the best option for individual circumstances.

Thus,

Refinancing could be a good option as it would result in a significant reduction in the monthly payment and the total interest paid over the life of the loan.

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