sal rides a skateboard 6336 feet, then gets off the skateboard and all’s another 4224 feet to get to the park. how many miles did sal travel?

use 1 mi = 5280 ft

Respuesta: $500

Explicación paso a paso:

S/2000 es el que no tiene por ciento entonces pones x sobre 2000 y haces 20/100 para el primero y 25/100 para el segundo

X

2000           20

                   100

100x=40,000/100x=$400 al final del año

tomas $400 y le agregas otro 25%

X

400          25

                100

100x=10,000/100x=$100 se agrega a su salario

En total obtendrá $500

Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches

Ramon wants to make an acute triangle with three pieces of wood. So far,

he has cut wood lengths of 7 inches and 3 inches.

What length must the longest side be in order for the triangle to be acute?

According to the property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side.

If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.

where, 'a' is the larger side and 'b' ,'c' are the smaller side

According to the question, Let a =a , b = 7, c = 3

\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)

Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.

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Answer:

less than 58 inches but greater than 7

Step-by-step explanation:

i got it right on edge

The measure of angle 2 is 73.

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

As, angle 1 and 2 are supplementary

<1 + <2 + (6x +5) =180

And, by corresponding angle, <1= 48

So, 48 + <2 + (6x +5)= 180

          <2 + (6x +5) = 132

Also x= 9

then, <2 = 132 - 59

        <2= 73.

Hence, measure of <2 is 9.

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The ratios of vowels to consonants in the words pineapple and strawberry are:

Pineapple: 4:5

Strawberry: 1:4

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

For pineapple:

There are 4 vowels (a, i, e, and a) and 5 consonants (p, n, p, p, and l).

Thus, the ratio of vowels to consonants in the word " pineapple" is:

4:5

For strawberry:

There are 2 vowels (a and e) and 8 consonants (s, t, r, w, b, r, r and y).

Thus, the ratio of vowels to consonants in the word "strawberry" is:

2:8 = 1:4

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Answer:

-6

Step-by-step explanation:

Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6

The iterated integral is equal to \(\frac{29296}{63}\)

The iterated integral is: ∫ from x=1 to x=8 ∫ from \(\int\limits \, from y=\sqrt{x} to y=8 (xy)(yx) dy dx\)

We can simplify this expression by reversing the order of integration, which gives:

∫ from y=1 to y=8 ∫ from \(x=y^2 to x=8 (xy)(yx) dx dy\)

Now, we can evaluate the inner integral with respect to x:

∫ from y=1 to y=8 \([(\frac{1}{2} )x^3 y^2]\) evaluated at \(x=y^2\) and x=8 dy

= ∫ from y=1 to y=8 \([(\frac{1}{2} )(8^3 y^2 - y^6)] dy\)

= \([(\frac{4}{7} )y^7 - (\frac{1}{18} )y^9]\) evaluated at y=1 and y=8

= \((\frac{2048}{7} -\frac{2048}{63} ) - (\frac{4}{7} - \frac{1}{8} )\)

= \(\frac{29296}{63}\)

Therefore, the iterated integral is equal to \(\frac{29296}{63}\).

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The value of a, b, and c are 0, 6, and 12 if the table represents the proportional relationship.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a 2-column table with 5 rows. Column 1 is labeled Number of Apples with entries 0, 1, 2, 3, 4. Column 2 is labeled Number of Slices with entries a, b, c, 18, 24.

As we know in the proportional relationship one variable is directly proportional to the other variable.

The value of cnstant of proportinality = 24/4 = 18/3 = 6

The value of a:

a = 0

b = 6×1 =6

c = 6×2 = 12

Thus, the value of a, b, and c are 0, 6, and 12 if the table represents the proportional relationship.

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Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

Answer:

Each dress was $29

Step-by-step explanation:

$128 (total)-$12 (price of necklace)= $116

$116/4 (dresses)= $29 (each dress)

A circular park of radius 14 m has a road of 7 m width all around on its outside then the  area of the road is approximately 153.943 square meters.

The circular park has a radius of 14 m. This means that the diameter of the park is 2 x 14 = 28 m. The road around the park has a width of 7 m. This means that the total width of the park and the road is 28 + 7 + 7 = 42 m. The area of the circular park can be found using the formula for the area of a circle: Area of park =\(π x r^2 = π x 14^2 = 615.752 m^2\) (rounded to 3 decimal places)

The area of the park and the road can be found by calculating the area of the larger circle and subtracting the area of the park: Area of park and road =\(π x (r+7)^2 - π x r^2 = π x (14+7)^2 - π x 14^2 = π x 21^2 - π x 14^2 = π x (441 - 196) = π x 245 = 769.695 m^2\) (rounded to 3 decimal places)

To find the area of just the road, we need to subtract the area of the park from the area of the park and road: Area of road = Area of park and road - Area of park = 769.695 - 615.752 =\(153.943 m^2\) (rounded to 3 decimal places)

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Answer:

8 meters per second

Step-by-step explanation:

K = v²/2

Given:

K = 32

Solve for v:

K = v²/2

32 = v²/2

v² = 64

\(\sqrt{v^2} =\sqrt{64}\)

v = 8

The area of the unshaded region is 19.5 cm², the answer would be B. 19.5 cm².To determine the area of the rectangle, we need to subtract the area of the unshaded region from the total area of the shape.

Since the area of the unshaded region is given as 19.5 cm², we can subtract it from the total area to find the area of the rectangle.

Let's assume the total area of the shape is represented by 'A'.

Area of the rectangle = Total area - Area of the unshaded region

Area of the rectangle = A - 19.5

Now, let's look at the answer choices:

A. 39 cm²

B. 19.5 cm²

C. 9.75 cm²

D. 4.8 cm²

Since the area of the unshaded region is 19.5 cm², the correct answer would be B. 19.5 cm².

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The correct system of inequalities is the one in option A.

We can see two lines with positive slopes.

The one with larger slope is a dashed line, and the region shaded is above that line, so we use the symbol y > line.

The one with smaller slope is solid, and the region shaded is below the line, so we use y ≤ line.

Then the correct system of equations is:

y ≤ (1/6)x + 2

y > (1/4)x + 1

So the correct option is A.

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Answer:

46.2

Step-by-step explanation:

if you plug the value given for g into g in the equation, it should look like

2.2(21) which you multiply the two together. and you get 46.2.

hope this helps you...sorry just seen  your question now.

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

a)  The period interest rate on the mortgage with a 4.8% APR compounded semi-annually is 2.4%.

b) the maximum mortgage amount they can afford with a monthly payment of $1,340.00, an APR of 5.25%, and a 20-year amortization period is approximately $245,724.03.

c) the Lees will have paid approximately $279,841.68 in total interest over the 20-year mortgage period.

d) The family will save $43,208.75 in total interest by making the $25,000 extra payment at the end of the 4th year of the mortgage.

a)
To calculate the period interest rate on a mortgage with a 4.8% APR compounded semi-annually, we need to divide the annual percentage rate (APR) by the number of compounding periods per year. In this case, since the mortgage is compounded semi-annually, there are two compounding periods per year.

So, the period interest rate (r) can be calculated as:

r = APR / (2 * 100)

Substituting the given values:

r = 4.8% / (2 * 100)

r = 0.024 or 2.4%

Therefore, the period interest rate on the mortgage with a 4.8% APR compounded semi-annually is 2.4%.



b)

Using the given information, we can use the financial formula to calculate the maximum mortgage amount they can afford. The formula is:

PV = PMT * ((1 - (1 + I%)^(-N*P/Y))) / (I%/P/Y)

where:

PV = Present Value or the maximum mortgage amount they can afford

PMT = Monthly mortgage payment they can afford = $1,340.00

N = Number of payments or the total number of months they will pay = 20 years * 12 months/year = 240 months

I% = Annual percentage rate (APR) = 5.25%

P/Y = Number of payment periods per year = 12 (compounded monthly)

C/Y = Number of compounding periods per year = 12 (compounded monthly)

Substituting the given values into the formula:

PV = $1,340.00 * ((1 - (1 + 5.25%/12)^(-240*12/12))) / (5.25%/12)

PV ≈ $245,724.03

Therefore, the maximum mortgage amount they can afford with a monthly payment of $1,340.00, an APR of 5.25%, and a 20-year amortization period is approximately $245,724.03.

c)

Using the given information, we can calculate the total interest paid over the 20-year mortgage period using the financial formula for the total interest paid:

Total Interest = (PMT * N) - PV

First, we need to calculate the monthly mortgage payment, which can be done using the financial formula for mortgage payments:

PMT = (PV * I%/P/Y) / (1 - (1 + I%/P/Y)^(-N*P/Y))

where PV, I%, P/Y, and C/Y are the same as before, and N is the number of payments.

Substituting the given values:

PV = $360,000 - $50,000 = $310,000

I% = 5.25%

P/Y = 12

C/Y = 12

N = 20 years * 12 months/year = 240 months

PMT = ($310,000 * 5.25%/12) / (1 - (1 + 5.25%/12)^(-240)) ≈ $1,999.27

Now, we can use the formula for total interest paid:

Total Interest = (PMT * N) - PV

Total Interest = ($1,999.27 * 240) - $310,000 ≈ $279,841.68

Therefore, the Lees will have paid approximately $279,841.68 in total interest over the 20-year mortgage period.


d)
To determine how much interest the family will save by making a $25,000 extra payment at the end of the 4th year of the mortgage, we need to compare the total interest paid over the remaining period of the mortgage with and without the extra payment.

First, let's calculate the total interest paid without the extra payment using the given information.

Using the financial formula for the total interest paid:

Total Interest = (PMT * N) - PV

PV = $295,000

PMT = $1,639.71

I% = 4.5%

P/Y = 12

C/Y = 12

N = (25 - 4) * 12 = 252 months

Total Interest = ($1,639.71 * 252) - $295,000 = $198,059.92

Now, let's calculate the total interest paid with the extra payment.

The extra payment will reduce the remaining mortgage balance, and we need to recalculate the monthly payment to ensure the mortgage is still amortized over 25 years. We can use the financial formula for mortgage payments to do this:

PMT = (PV * I%/P/Y) / (1 - (1 + I%/P/Y)^(-N*P/Y))

where PV, I%, P/Y, and C/Y are the same as before, and N is the number of payments.

PV = $295,000 - $25,000 = $270,000

I% = 4.5%

P/Y = 12

C/Y = 12

N = (25 - 4) * 12 = 252 months

PMT = ($270,000 * 4.5%/12) / (1 - (1 + 4.5%/12)^(-252)) ≈ $1,529.54

Now, we can calculate the total interest paid with the extra payment using the same formula as before:

Total Interest = (PMT * N) - PV

PV = $270,000

PMT = $1,529.54

I% = 4.5%

P/Y = 12

C/Y = 12

N = 21 * 12 = 252 months

Total Interest = ($1,529.54 * 252) - $270,000 = $154,851.17

Therefore, the family will save $198,059.92 - $154,851.17 = $43,208.75 in total interest by making the $25,000 extra payment at the end of the 4th year of the mortgage.

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The argument is valid. The argument is valid based on the direct truth-table method.

To test the validity of the argument, we can use the direct truth-table method. Let's break down the argument and construct the truth table for the given premises and the conclusion:

Premises:

G ⊃ H

R ≡ G

~H v G

Conclusion:

R • H

Constructing the truth table:

We have three propositions: G, H, and R. Each proposition can have two truth values, true (T) or false (F). Therefore, we need 2^3 (8) rows in the truth table to evaluate all possible combinations.

By evaluating the truth table, we find that in all rows where the premises (1, 2, 3) are true, the conclusion (R • H) is also true. There is no row where the premises are true, but the conclusion is false. Therefore, the argument is valid.

The argument is valid based on the direct truth-table method. This means that if the premises (G ⊃ H, R ≡ G, ~H v G) are true, then the conclusion (R • H) must also be true.

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The estimated value of g(1.2) is -16.

To estimate the value of g(22) and g(1.2), we can use the first-order Taylor approximation, which states that for a differentiable function g(x) at a point a:

g(x) ≈ g(a) + g'(a)(x - a)

For the first estimation, we have g(20) = 35 and g'(20) = -2. We want to estimate g(22) using these values. Applying the Taylor approximation:

g(22) ≈ g(20) + g'(20)(22 - 20)

≈ 35 + (-2)(2)

≈ 35 - 4

≈ 31

Therefore, the estimated value of g(22) is 31.

For the second estimation, we have g(1) = -17 and g'(1) = 5. We want to estimate g(1.2) using these values. Applying the Taylor approximation:

g(1.2) ≈ g(1) + g'(1)(1.2 - 1)

≈ -17 + 5(1.2 - 1)

≈ -17 + 5(0.2)

≈ -17 + 1

≈ -16

Therefore, the estimated value of g(1.2) is -16.

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Answer:

6/30=1/5

16/48=1/3

Step-by-step explanation:

Answer:

the first one is 1/5 and the second one is 1/3

Step-by-step explanation:

Money is a variable that the central bank controls, we " must then assume as well that the price level is unrelated to the value of money". The correct answer is option 2:

When we assume that the central bank controls the supply of money, we assume that it has the power to adjust the quantity of money in circulation. This assumption, however, implies that the price level is unrelated to the value of money, which is not necessarily true in the real world. Option 1 is incorrect because the demand for money is often influenced by the value of money. Option 3 is incorrect because households, along with banks and other financial institutions, play a role in the creation and supply of money. Option 4 is incorrect because the banking system is a crucial part of the monetary system, and its role cannot be ignored when discussing the supply of money.

Option 2 is answer.

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Answer:

The first one

Step-by-step explanation:

You can see the pattern

The dimensions of the rectangle with the greatest possible area are 2\(\sqrt{(2)}\) by 4.

Let's denote the dimensions of the rectangle as length (L) and width (W). Since the base of the rectangle is on the x-axis, the width of the rectangle is equal to the x-coordinate of the upper corners of the rectangle.

Let's assume that the x-coordinate of the upper corners of the rectangle is x. Then, the width of the rectangle is W = 2x, and the length of the rectangle is L = 6 -\(x^2\).

The area of the rectangle is A = LW = \(2x(6 - x^2) = 12x - 2x^3.\)

To find the maximum area, we need to take the derivative of A with respect to x and set it equal to zero:

\(dA/dx = 12 - 6x^2 = 0\)

Solving for x, we get:

x = ±sqrt(2)

Since we are interested in the dimensions of the rectangle on the parabola, we take the positive value of x.

Therefore, the width of the rectangle is:

W = 2x = 2sqrt(2)

And the length of the rectangle is:

L = 6 - \(x^2\)= 6 - 2 = 4

So the dimensions of the rectangle with the greatest possible area are 2sqrt(2) by 4.

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The sides for both triangles are always proportional by a factor of 2, this means that by the postulate AAA we can determine tha they're similar. The correct answer is the second option.

Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.

The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

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The initial mass of the sample is approximately 3.45 kg.

To find the initial mass of the radioactive sample, we can use the exponential decay model. The general form of the exponential decay model is given by:

M(t) = M0 * \(e^{(-kt)}\)

Where:

M(t) is the mass at time t,

M0 is the initial mass,

k is the decay rate parameter,

e is the base of the natural logarithm (approximately 2.71828).

In this case, we are given that the decay rate parameter is 7% per day, which can be written as k = 0.07. We also know that the mass of the sample today is 3 kg, and it was taken two days ago. Therefore, t = 2.

Using the given values in the exponential decay model equation, we can solve for the initial mass M0:

3 = M0 * \(e^{(-0.07 * 2)}\)

Simplifying the equation:

3 = M0 * \(e^{(-0.14)}\)

Dividing both sides by \(e^{(-0.14)}\):

\(M0 = 3 / e^{(-0.14)}\)

Using a calculator, we can evaluate the right-hand side of the equation:

M0 ≈ 3 / 0.868745

M0 ≈ 3.45

Therefore, the initial mass of the sample is approximately 3.45 kg.

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Answer:

answer is 25

Step-by-step explanation:

x+2+153=180

x+155=180

x=180-155

x=25

hope this helps :)

The volume of the larger cone, when the radius is doubled, will be eight times greater than the volume of the smaller cone.

The volume of a cone can be calculated using the formula

V = (1/3)πr²h,

where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone.

For the smaller cone with a radius of 5 and height of 9, the volume is:

V1 = (1/3)π(5²)(9) = (1/3)π(25)(9) ≈ 235.62

When the radius is doubled to 10, the volume of the larger cone is:

V2 = (1/3)π(10²)(9) = (1/3)π(100)(9) ≈ 942.48

The ratio of the volumes is V2/V1 = 942.48/235.62 ≈ 4.

Therefore, the volume of the larger cone is approximately eight times greater than the volume of the smaller cone.

If the radius were halved instead, the volume of the cone would decrease by a factor of eight. This is because the volume of a cone is directly proportional to the cube of the radius. So, reducing the radius by half would result in a volume that is 1/8th of the original volume.

Hence, if the radius were halved, the volume of the cone would decrease by a factor of eight.

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Answer:

  5(a +4) = 5a +20

Step-by-step explanation:

The average rate of change (m) on interval [p, q] is computed as ...

  m = (f(q) -f(p))/(q -p)

For the given interval and function, this is ...

  m = ((5a^2 -4) -(5·4^2 -4))/(a -4) = 5(a^2 -4^2)/(a -4) = 5(a +4)

The average rate of change on the interval is 5(a+4).

Angles (4x + 4°) and (6x - 4°) are supplementary.

That is :

\(\hookrightarrow \: 4x + 4 \degree + 6x -4 \degree = 180 \degree\)

\(\hookrightarrow10x = 180 \degree\)

\(\hookrightarrow x = 18 \degree\)

__________________________

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