15(x+2)=60+9x welp I also need help

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:

-b/a

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.

slope of line = a/b

slope of perpendicular = -b/a

The length of a scale model of the scooter is 4 2/3 inches

Scale model involves enlarging or reducing the dimensions of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

The scale model of the scooter is given as:

1 inch = 3/4 feet

The length of the scooter is given as:

Scooter = 3 1/2 feet

So, we have:

Scooter = 3 1/2 feet

1 inch = 3/4 feet

Cross multiply

Scooter * 3/4 feet = 1 inch * 3 1/2 feet

Cancel out the common units

Scooter * 3/4= 1 inch * 3 1/2

Evaluate the product

Scooter * 3/4= 3 1/2 inches

Divide both sides by 3/4

Scooter = 4 2/3 inches

Hence, the length of a scale model of the scooter is 4 2/3 inches

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Answer:

scalene acute

Step-by-step explanation:

scalene = 2 sides are the same and one is different

acute = all three angles are smaller than 90

Answer:  \(9\sqrt{15}\)

Work Shown:

\(x = 3\sqrt{135}\\\\x = 3\sqrt{9*15}\\\\x = 3\sqrt{9}*\sqrt{15}\\\\x = 3*3*\sqrt{15}\\\\x = 9\sqrt{15}\\\\\)

In the second step, I factored 135 into 9*15 so that I could pull out the perfect square 9. This is the largest perfect square factor of 135. In the next step, I used the rule \(\sqrt{A*B}=\sqrt{A}*\sqrt{B}\\\\\)

Answer:

D- 3 (3) StartRoot 5 (3) EndRoot = 9 StartRoot 15 EndRoot

yes, 2x + 3 = 5 is a linear equation.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.

Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.

Given that,

2x + 3 = 5

or, 2x = 5 - 3

or, 2x = 2

or, x = 2/2

x = 1

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Answer:

The first one's C-Neither, The second one's A- arithmetic and the last one's 11

Step-by-step explanation:

I just did the assignment myself just now and P.S. UNUS ANNUS

Given sequence us neither arithmetic sequence nor geometric sequence.

"It is the list of elements arranged in particular order."

"It is a sequence in which consecutive terms have common difference."

"It is sequence in which consecutive terms have common ratio."

For given example,

we have a sequence 10; 110; 1,110; 11,110; . . .

If we take the difference between consecutive terms then it would be,

110 - 10 = 100

1110 - 110 = 1000

11110 - 1110 = 10000

this means, the difference between consecutive terms is not constant.

So, given sequence is not an arithmetic sequence.

Now, we take the ratio between consecutive terms then it would be,

110/10 = 11

1110/110 = 10.09

11110/1110 = 10.009

this means, the ratio between consecutive terms is not constant.

So, given sequence is not a geometric sequence.

Therefore, given sequence us neither arithmetic sequence nor geometric sequence.

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For the first loan, the final payment is $1,576.25. For the second loan, the final payment is $0. The calculations consider the given interest rates and compounding periods.



To determine the final payment for the first loan, we need to calculate the accumulated value of the loan after six years. For the first year, interest is compounded quarterly at a rate of 10% per annum. The accumulated value after one year is $10,000 * (1 + 0.10/4)^(4*1) = $10,000 * (1 + 0.025)^4 = $10,000 * 1.1038125.For the next three years, interest is compounded semi-annually at a rate of 8% per annum. The accumulated value after four years is $10,000 * (1 + 0.08/2)^(2*4) = $10,000 * (1 + 0.04)^8 = $10,000 * 1.3604877.

Finally, for the remaining two years, interest is compounded annually at a rate of 7.5% per annum. The accumulated value after six years is $10,000 * (1 + 0.075)^2 = $10,000 * 1.157625.To find the final payment, we subtract the payments made so far ($5,000 and $6,000) from the accumulated value after six years: $10,000 * 1.157625 - $5,000 - $6,000 = $1,576.25.For the second loan, we calculate the accumulated value after six years using the given interest rates and compounding periods for each period. The accumulated value after two years is $5,000 * (1 + 0.09/4)^(4*2) = $5,000 * (1 + 0.0225)^8 = $5,000 * 1.208646.

The accumulated value after four years is $5,000 * (1 + 0.10/12)^(12*2) = $5,000 * (1 + 0.0083333)^24 = $5,000 * 1.221494.Finally, the accumulated value after six years is $5,000 * (1 + 0.10)^2 = $5,000 * 1.21.To find the final payment, we subtract the payments made so far ($2,500 and $2,500) from the accumulated value after six years: $5,000 * 1.21 - $2,500 - $2,500 = $0.

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Answer:

430 minutes or 7 hours and 10 minutes

Step-by-step explanation:

From 8:35 am to 9 am is 25 minutes. There are 60 minutes in an hour and 9 am to 3 pm is 6 hours. 3:00 to 3:45 pm is an additional 45 minutes.

60 minutes x 6 hours = 360 minutes

360 + 25 + 45 = 430 minutes

Answer:

7 hours with 10 minutes

Step-by-step explanation:

First, find how much minutes it takes to get to 9 a.m, which is 25 minutes.

Then, count up to 3 p.m, which is 6 hours.

Then, add the 45 minutes to 25, which will give you 70, but since you have more than 60 minutes, convert those 60 minutes to an hour adding that up to 7 hours and ten minutes.

Step-by-step explanation:

2x+26=2(5-3x)

2x+26=10-6x

combination of like terms

2x+6x=10-26

8x= -16

x= -16/8

x= -2

Answer:

A.

Step-by-step explanation:

Because 75 times 4 is 300 and all the other answers are wrong

The strongly connected components represent interconnected groups of phone numbers with mutual communication pathways in a telephone call graph. They provide insights into social structures and communication patterns

In a telephone call graph, each phone number is represented as a node, and the edges between the nodes represent the calls made between the phone numbers. A strongly connected component is a subset of nodes in the graph where there is a directed path between every pair of nodes within the component.

The presence of strongly connected components in a telephone call graph indicates clusters of phone numbers that are interconnected and have frequent communication among themselves. These components can represent social groups, communities, or networks of individuals who frequently communicate with each other. By identifying the strongly connected components, patterns of communication and relationships between different phone numbers can be analyzed, providing insights into social structures, communication patterns, and potential clusters of interest in network analysis.

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The approximate monthly percent decrease in value of the boat is 0.5%.

The given value of a boat is 21 200, and it loses 6% of its value every year. We are to find the approximate monthly percent decrease in value.

The given information is as follows: The value of a boat = $21,200The percentage decrease in value = 6%We are to find the approximate monthly percent decrease in value. Annual decrease in value of a boat is 6% of $21,200= $1,272Monthly decrease in value of a boat will be 1/12 of the annual decrease = $1,272/12≈ $106Thus, the approximate monthly percent decrease in value of the boat will be

\($\frac{106}{21,200}*100\%=0.5\%$\)

Therefore, the approximate monthly percent decrease in value of the boat is 0.5%.

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Your question is incomplete, but probably the complete question is :

The value of a boat is $21,200. It loses 6% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.

Answer:

5/11

Step-by-step explanation: hope it helps!

Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

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Answer:

D. 360 cubic cm.

Step-by-step explanation:

The volume = l * w * h

= 12 * 6 * 5

360 cu cm.

The  volume of the rectangular prism is  360 cubic cm

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Characteristics of a rectangular prism

Volume = length x width x height

12 x 6 x 5 =  360 cubic cm

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Answer:

IF = 3.8

Step-by-step explanation:

On each median, the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

IF = 7.6 ÷ 2 = 3.8

Answer:

60km

Step-by-step explanation:

There are two ways to look at this

1. Finding the unit rate

We can find how many km he travels in 1 hour by diving both the hours and km by 2. 1 hour = 10km so 6 hours is 60km since we multiply by 6.

2. Multiply by 3

We can multiply both the km and hours by 3, since 2x3=6 hours

20km * 3 hours = 60km

The equation to illustrate a word problem regarding the renting of a car is 60 + 3h.

It should be noted that an equation is simply used to illustrate the information given about the variables.

An example of word problem simply that can be illustrated by an equation will be that the initial deposit to rent a car is $50 and there's an hourly rate of $3.

Therefore, based on the above information, the equation to illustrate this will be:

= Initial cost + Hourly rate

Let the number of hours be represented by h.

= 50 + (3 × h)

= 50 + 3h

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Answer:

4, 2, 1, 2, 4

Step-by-step explanation:

-2 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-2).

f(-2) = (1/2)^-2 = 1^-2/2^-2 = 2^2/1^2 = 4/1 = 4

-1 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-1).

f(-1) = (1/2)^-1 = 1^-1/2^-1 = 2^1/1^1 = 2/1 = 2

0 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(0).

f(0) = (1/2)^0 = 1^0/2^0 = 1/1 = 1

1 > 0, so use the second equation, f(x) = 2^x, to find f(1).

f(1) = 2^1 = 2

2 > 0, so use the second equation, f(x) = 2^x, to find f(2).

f(2) = 2^2 = 4

Answer:

21 jumping jacks a minute.

Step-by-step explanation:

63/3=21

Answer:

False

A saver has much more positives. It means you'll have more money in your future :)

GEOMETRIC : Only 1 straight line can pass through two distinct points simultaneously.

NONSENSICAL : Infinite lines can pass through two distinct points to be exact - (2*Infinite - 1)

Explanation.

Let the points be A and B

A can have infinite lines pass through it

B can have infinite lines pass through it

A & B together has one line pass through them

A+B = A + B - (A&B) = Inf + Inf - 1 = 2*Inf - 1 (Approx Inf).

According to Euclidean geometry two distinct points determine a unique straight line.

According to Euclidean geometry, two distinct points determine a unique straight line. This fundamental concept is known as the "line postulate" or the "two-point postulate." In Euclidean geometry, a straight line is the shortest path between two points, and it's determined by those two points.

To put it simply, given two distinct points, there is one and only one straight line that can pass through both of them. This is a foundational principle in Euclidean geometry and plays a crucial role in defining various geometric concepts and theorems.

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Hey there!

\(\fbox{2x²+16x-7}\)

\(\fbox{2(x + 4)² - 39}\)

Answer:

10x + 14

Step-by-step explanation:

begin by distributing the numbers outside of your parentheses:

4x + 4(6)    +     6x - 2(5)

4x + 24 + 6x -10

then just combine like terms:

4x + 6x      +      24 - 10

10x + 14