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2 years ago

L = $20 r = 4% t = 2 years

1 answer:

7 0

I'm guessing this is a question about interest rates? If you have $20 that increases by 4% in one year, you need to multiply 20 by 1.04. This gets you $20.8.

If you are talking about compound interest, we will take this number and multiply it again by 1.04 for the second year. 20.8 x 1.04 = $21.632.

If it is instead simple interest, we will simply add another .8 dollars for each year, instead of getting 4% interest compounded every year onto the new value. This gets you $21.6.

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Which equation can pair with x-y=-2 to create a consistent and dependent system?

MrRissso [65]

See the explanation

<h2>Explanation:</h2>

A system that has one or infinitely many solutions is called <em>consistent. </em>If an equation in a system tells us no new information then the equations of the system are <em>dependent. </em>In other words, to find an equation that creates a consistent and dependent system with the given equation we have to get the same line:

The given line is:

$x-y=-2$

If we multiply both sides of the equation by a constant we will have the same line when plotting, therefore let's multiply by 3:

$3(x-y)=3(-2) \\ \\ 3x-3y=-6$

So a system of two linear equation that is consistent and dependent is:

$\left \{ {{x-y=-2} \atop {3x-3y=-6}} \right.$

<h2>Learn more:</h2>

Graph of lines: brainly.com/question/14434483#

#LearnWithBrainly

3 0

3 years ago

What is the common denominator of 2/9 and 2/3

GREYUIT [131]

Answer:

Step-by-step explanation:

You can convert 2/3 to 6/9 by multiplying the numerator and denominator by 3, so that both fractions could have the same denominator

6 0

2 years ago

Read 2 more answers

A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

mestny [16]

Answer:

The value is $W= 2640 \ ft \cdot lb$

Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

The depth of the well is $x_1 = 60 \ ft$

The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

Generally the workdone is mathematically represented as

$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

$G(x) = 5 + (42- 0.1x)$

=> $G(x) = 47- 0.1x)$

$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

7 0

3 years ago

The middle school choir concert was 1 1/4 hours long. each song was 1/,8 of an hour how many songs did the audience hear during

max2010maxim [7]

I think the answer is B

6 0

2 years ago

Read 2 more answers

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure iss

Juliette [100K]

Given:

The function f represents the diver's distance from sea level over time, in seconds.

$f(x)=\begin{cases}3x+1 & \text{ if } -9$

To find:

The correct statement for the domain.

Solution:

Domain is the set of input values for which the function is defined.

Here, x values are the input values and they represent time intervals on which the function is defined

Here, the possible intervals for x are $-9$ .

$Domain=(-9,-2]\cup (-2,1]\cup (1,7)$

$Domain=(-9,7)$

Therefore, the domain is the time interval (−9, 7). Hence the correct option is A.

4 0

2 years ago