Javier exercises for 2 hours every Saturday. His exercise includes two parts.
Javier's exercise: cardio and weightlifting
If he spends the same amount of time on both parts, how many hours does he spend weightlifting?

Answer:

3

Step-by-step explanation:

The total interest income reported over the life of the bond investment would be $7,500.

To calculate the total interest income, we need to determine the annual interest payment and multiply it by the number of years until maturity. In this case, the bond has a par value of $50,000 and pays interest at a 3% annual rate. The annual interest payment can be calculated by multiplying the par value by the interest rate, which gives us $50,000 * 0.03 = $1,500.

Since the bond has a maturity period of 5 years, we can multiply the annual interest payment by the number of years to obtain the total interest income. Therefore, the total interest income is $1,500 * 5 = $7,500.

Adelphi Company purchased the bonds at 101, which means they bought them at a premium. The straight-line amortization method assumes that the premium or discount is amortized evenly over the life of the bond. However, since the premium was not mentioned explicitly in the question, we can assume that it does not affect the calculation of the total interest income. In conclusion, over the life of the bond investment, Adelphi Company will report a total interest income of $7,500.

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Answer:

Abbey lane is parallel with brittney drive

collin street is perpendicular with brittney drive

Doltan road is parallel with abbey lane

Edward street is perpendicular to doltan road

From the given conditions the map can be constructed in many ways,

we can construct the map as,

Answer:

325

Step-by-step explanation:

40/100=130/x

Cross multiply to find x

40x=13000

/4            /4

x=325

Answer:

---

Step-by-step explanation:

1. x-5=18

For this one, we add 5 to both sides, therefore canceling it out.

x-5=18

+5  +5

x=23

2. x+2=-1.4

Now for number 2, we subtract 2 from both sides.

x+2=-1.4

 -2   -2

x=-3.4

3. x-5.5=-8.2

     +5.5 +5.5

x=-2.7

4. 3.4-x=1.88

   -3.4    -3.4

-x=-1.52

Now this gets a bit weird. The x is negative, but we can fix that. There was a secret 1 there all along.

-1x=-1.52

Just divide -1.

-1x=-1.52

/-1    /-1

x=1.52

---

hope it helps

Gerard concluded that triangle with given sides cannot be used as  building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.

In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,

So, the squares of the given sides are :

Square of √95 feet = (√95)² = 95 feet

Square of 8 feet = 8² = 64 feet

Square of √150 feet = (√150)² = 150 feet

We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,

Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.

Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.

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The given question is incomplete, the complete question is

Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.

Answer:

y-2=3x-6

Step-by-step explanation:

y - y1 = m(x - x1)

y-2=3(x-2)

y-2=3x-6

Answer:

Commission = $27.20

Jewelry  Store made = $652.80

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $680 × .04

Commission = $27.20

Jewelry  Store made = Sales Price - Commission

Jewelry  Store made = $680 - $27.20

Jewelry  Store made = $652.80

Answer:

f(x) = -(x - 2)² + 1

Step-by-step explanation:

I graphed it out, it's the only answer that gives the correct parabola

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

Given the question :

6 × 6 × 6

This depicts the product of a certain number in three places

6 × 6 × 6 = 6³

6 * 6 = 36

36 * 6 = 216

Hence, 6³ = 216

Therefore, The differential of the function z = e−9x cos(6t) with respect to both x and t is given by dz = (∂z/∂x)dx + (∂z/∂t)dt.

The differential of the function z = e−9x cos(6t) with respect to both x and t is given by dz = (∂z/∂x)dx + (∂z/∂t)dt.
Using the chain rule, we find that ∂z/∂x = -9e^(-9x)cos(6t) and ∂z/∂t = -6e^(-9x)sin(6t).
Substituting these values, we get dz = (-9e^(-9x)cos(6t)dx) + (-6e^(-9x)sin(6t)dt).
The differential of a function is a measure of the sensitivity of the function to small changes in its inputs. In this case, we are asked to find the differential of the function z = e^-9x cos(6t) with respect to both x and t. To do this, we use the chain rule to find the partial derivatives of z with respect to x and t, and then substitute them into the formula for the total differential. The resulting differential dz represents the change in z due to small changes in both x and t.

Therefore, The differential of the function z = e−9x cos(6t) with respect to both x and t is given by dz = (∂z/∂x)dx + (∂z/∂t)dt.

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Answer:

£90

Step-by-step explanation:

if it decreases by 5/6 then that means that 15 is 1/6 of the total price

15*6 = 90

Answer:

To find out how much money Dee had left after her purchases, we can use the equation: $120 - $55 - (3 × $18) = M. This equation represents the initial amount of money Dee had ($120) minus the amount she spent at the grocery store ($55) minus the cost of the three potted flowers ($18 each, so 3 × $18). By simplifying this equation, we can find the value of M, which represents the money Dee had left.

We may calculate the corresponding value of z = 1.476 using a conventional normal right-tailed z-table.

Find the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table (e.g. whole number and the first digit after the decimal point). It is 1.0 in this instance. We then look up the last number, which in our example is 0.09, from across table (on top).

The amount of standard deviations a scoring or value (x) is from the mean is the number of Z scores (Z value). Z-score quantifies data dispersion in other terms. Z-score, informally, indicates however many standard deviations a number (x) is below or above population mean (µ).

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If the Woodward Corporation would like to donate 20 computers and 30 printers to local schools. the greatest number of schools that The Woodward Corporation can donate to is: 10 schools.

We need to first of all find the common factors

20 = 1 × 20 = 2 ×10 = 2× 5 ×2

30 = 1 × 30 = 3 × 10

Common factors are 1 and 10.

Highest common factor is 10.

20 / 10 = 2

30 / 10 = 3

Each school will receive 2 computers and 3 printers.

The total number of schools  that will receive them is 10 schools  which is the  highest number of schools that will receive the same set of both computers and printers.

Therefore the  greatest number of schools is 10.

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The time it would take for the bag to infuse at the maximum time would be the value of 1. 5 hours.

The maximum rate of infusion for an IV bag is 250 ml/hour. This means that the maximum time it would take for the bag to infuse is:

= Quantity in bag / Maximum rate of infusion

Therefore, it will take:

= 376 ml / 250 ml/hour

= 1. 5 hours to infuse the entire bag

In conclusion, the time it would take for the bag to infuse at the maximum time is 1. 5 hours.

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Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

The volume of the frustum that is shown in the diagram is: C. 256 m³.

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

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The mass of all the sand on Earth is approximately 8.25 × 10^5 kg.

To find the mass of all the sand on Earth, we can multiply the number of grains of sand by the mass of one grain.

Given:

Number of grains of sand = 7.5 × 10^18

Mass of one grain = 1.1 × 10^-13 kg

To calculate the mass of all the sand, we can multiply these values:

Mass of all sand = (Number of grains of sand) × (Mass of one grain)

Mass of all sand = (7.5 × 10^18) × (1.1 × 10^-13)

To multiply numbers written in scientific notation, we can multiply the coefficients and add the exponents:

Mass of all sand = 7.5 × 1.1 × 10^18 × 10^-13

Simplifying, we get:

Mass of all sand = 8.25 × 10^5 kg

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The arithmetic mean for the given data is 69.5, obtained by summing the products of midpoints and frequencies and dividing by the total frequency.

To find the arithmetic mean, we need to calculate the sum of all the values in the data set and then divide it by the total number of values. In this case, we have the class frequencies and the midpoints of each class interval. To calculate the sum, we multiply each class frequency by its corresponding midpoint and then add all the values together.

For example, for the first class interval (50-54), the midpoint is 52, and the frequency is 7. So, the contribution of this interval to the sum is 52 * 7 = 364. We do the same calculation for each interval and add them up to get the total sum.

Next, we divide the total sum by the sum of all the frequencies, which in this case is 50. So, the arithmetic mean is 69.5 (total sum divided by the total number of values).

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

Sophia has 64 pieces of paper.

Step-by-step explanation:

Brandon = 32 pieces of paper.

2(Sophia) x 32 = 64 pieces of paper.

Answer:

x=9

Step-by-step explanation:

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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\(\text {Hello! Let's solve this Equation!}\)

\(\text {Your First Step is to Simplify the Equation:}\)

\(\text {(2x+4x)+(8+3)}\)

\(\text {6x+11=3x-10}\)

\(\text {The Next Step is to Subtract 3x:}\)

\(\text {6x+11-3x=3x-10-3x}\\\text {3x+11=-10}\)

\(\text {Next Step is to Subtract 11:}\)

\(\text {Q: Why Subtract 11?}\)

\(\text {A: So they cancel out. We cross them out once we subtract.}\)

\(\text {3x+11-11=-10-11}\\\text {3x=-21}\)

\(\text {The Final Step is to Divide 3:}\)

\(\text {3x/3=-21/3}\)

\(\text {Your Answer will be}\)

\(\fbox {x=-7}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Step-by-step explanation:

perimeter =5x. where x is the side length