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Nataly_w [17]
2 years ago
15

find the simple interest earned to the nearest cent for principal interest rate and time. $570, 6% , 1 year

Mathematics
1 answer:
olasank [31]2 years ago
4 0

Answer:

34.2

Step-by-step explanation:

570 x 0.06 6% is the interest

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The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell wh
Brut [27]

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\\4&28&8\\5&35&16\\6&42&32\\7&49&64\\8&56&128\\9&63&256\end{array}

and you can see how the exponential growth is much faster than the linear one.

6 0
3 years ago
From a random sample of 92 male students at Hope College, 8 were left-handed. Using the Theory Based Inference applet, determine
Bumek [7]

Answer:

mkkkmnsine kgsk jtb jgjdb Geeta kl John ku

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%209%20%2B%202x%20-%203y%20%3D%208" id="TexFormula1" title="x + y = 9 + 2x -
Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

 x +   y =  9

2x - 3y = 8.

Let's solve this system by elimination.  Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y =    8

-------------------

5x = 35, so that x = 7.  Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


6 0
3 years ago
An item cost $480 before tax , and tge sales tax is $9.60
elena-s [515]

Answer:

0.02 ; 2%

Step-by-step explanation:

Given :

Cost of item = $480

Tax amount on item = $9.60

The sales tax rate = tax amount on item / cost of item

Sales tax rate = $9.60 / $480 = 0.02

As a percentage :

0.02 * 100% = 2%

7 0
3 years ago
Unsure how to do this calculus, the book isn't explaining it well. Thanks
krok68 [10]

One way to capture the domain of integration is with the set

D = \left\{(x,y) \mid 0 \le x \le 1 \text{ and } -x \le y \le 0\right\}

Then we can write the double integral as the iterated integral

\displaystyle \iint_D \cos(y+x) \, dA = \int_0^1 \int_{-x}^0 \cos(y+x) \, dy \, dx

Compute the integral with respect to y.

\displaystyle \int_{-x}^0 \cos(y+x) \, dy = \sin(y+x)\bigg|_{y=-x}^{y=0} = \sin(0+x) - \sin(-x+x) = \sin(x)

Compute the remaining integral.

\displaystyle \int_0^1 \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=1} = -\cos(1) + \cos(0) = \boxed{1 - \cos(1)}

We could also swap the order of integration variables by writing

D = \left\{(x,y) \mid -1 \le y \le 0 \text{ and } -y \le x \le 1\right\}

and

\displaystyle \iint_D \cos(y+x) \, dA = \int_{-1}^0 \int_{-y}^1 \cos(y+x) \, dx\, dy

and this would have led to the same result.

\displaystyle \int_{-y}^1 \cos(y+x) \, dx = \sin(y+x)\bigg|_{x=-y}^{x=1} = \sin(y+1) - \sin(y-y) = \sin(y+1)

\displaystyle \int_{-1}^0 \sin(y+1) \, dy = -\cos(y+1)\bigg|_{y=-1}^{y=0} = -\cos(0+1) + \cos(-1+1) = 1 - \cos(1)

7 0
1 year ago
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