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3 years ago

Use the simple interest formula, I = prt, to find the simple interest:

Mathematics

1 answer:

Mkey [24]3 years ago

5 0

4,000×0.035×2=280
.................

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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$

6 0

3 years ago

9.5 less than a number n equals 27

LuckyWell [14K]

Answer:

convert 9.5

n-9=27

Step-by-step explanation:

I converted it for you.

7 0

2 years ago

What is the GCF of two prime numbers?

ehidna [41]

Prime numbers: numbers which only have the factors of themselves and 1.

They include numbers such as 17, 19, 23, etc. These are numbers which only have two factors: such as 17, with the factors only being 17 and 1.

So therefore, this means, that for any two prime numbers, unless they are the same number, the only factor they will share is 1. So therefore the GCF of two prime numbers is 1.

Hope this helped!

4 0

3 years ago

The length of a rectangle is 5 times the width. If the perimeter is to be greater than 36 meters. What are the possible values f

Lostsunrise [7]

Answer:

The width must be greater than 3 meters.

Step-by-step explanation:

Let w represent the width. Then 5w will represent the length, which is 5 times the width. The perimeter is the total of the side lengths of the rectangle, so is ...

P = 2w + 2(5w) = 12w

We want this to be greater than 36 m, so ...

P > 36 m

12w > 36 m . . . . . . . substitute our expression for P

w > 3 m . . . . . . . . . . divide by 12

The possible values for width are those values that are more than 3 meters.

3 0

3 years ago

During the month of febuary fabulous feet shoe mart sold 48 pairs of red loafers. After an ad campaign to boost sales they sold

frutty [35]

The percent of increase in sales.
(60-48)/48)*100=25%

7 0

3 years ago