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2 years ago

11

The number of customers that visit a local small business is 46,900 and has been continuously declining at a rate of 3.2% each y

ear. What is the approximate number of customers that visit the business in 8 years?

1 answer:

anygoal [31]2 years ago

4 0

V=Vo (1-r/100)^n
V=46900(1-3.2/100)^8
V=46900(96.8/100)^8
V=46900*(.968)^8
V=36155.61
V=36155(approx)

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Just become right handed.

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2 years ago

Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, -4>, v = <-4, -3> (1 point)

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Angle between $u = -5i-4j , v=-4i-3j$ is $x =0$ ° .

<u>Step-by-step explanation:</u>

We have , two vectors u = <-5, -4>, v = <-4, -3> or , $u = -5i-4j , v=-4i-3j$

We need to find angle between these two vectors . Let's find out:

We know that dot product of two vectors is defined as :

$u.v =|u|(|v|)cosx$ , where x is angle between u & v !

⇒ $u.v =|u|(|v|)cosx$

⇒ $cosx =\frac{u.v}{|u|(|v|)}$

Now , $u.v = (-5i-4j)(-4i-3j)$

⇒ $u.v = (-5i-4j)(-4i)-(-5i-4j)(3j)$

⇒ $u.v = 20+12$ { $i(j) = j(i) =0$ }

⇒ $u.v = 32$

Now , Modulus of any vector $r = xi+yj$ is $|r| = \sqrt{x^{2}+y^{2}}$ So ,

$|u| = \sqrt{(-5)^{2}+(-4)^{2}} = \sqrt{25+16} = \sqrt{41} \\\\|v| = \sqrt{(-4)^{2}+(-3)^{2}} = \sqrt{16+9} = \sqrt{25} = 5$

Putting all these values in equation $cosx =\frac{u.v}{|u|(|v|)}$ we get:

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⇒ $cos^{-1}(cosx) =cos^{-1}(\frac{32}{5(6.4)})$

⇒ $x =cos^{-1}(1)$ { $cos0 = 1$ }

⇒ $x =0$ °

Therefore , Angle between $u = -5i-4j , v=-4i-3j$ is $x =0$ ° .

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3 years ago

I WILL AWARD BRAINLIEST IF YOU ANSWER ALL OF THESE!! THANK YOU!!

vaieri [72.5K]

Answer:

<u>1. The number is 71.3</u>

<u>2. The number is 127.1</u>

<u>3. The number is 230</u>

<u>4. The number is 34</u>

Step-by-step explanation:

Let's find out the numbers, x, for each case:

1. 5% of it is 5% of it is 23% of 15.5

5% = 0.05

23% of 15.5 = 0.23 * 15.5 = 3.565

Then, we have:

0.05x = 3.565

x = 3.565/0.05

x = 71.3

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2. 4% of it is 31% of 16.4

4% = 0.04

31% of 16.4 = 0.31 * 16.4 = 5.084

Then, we have:

0.04x = 5.084

x = 5.084/0.04

x = 127.1

<u>The number is 127.1</u>

3. 4.5% of it is 23% of 45

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Then, we have:

0.045x = 10.35

x = 10.35/0.045

x = 230

<u>The number is 230</u>

4. 5.5% of it is 17% of 11

5.5% = 0.055

17% of 11 = 0.17 * 11 = 1.87

Then, we have:

0.055x = 1.87

x = 1.87/0.055

x = 34

<u>The number is 34</u>

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3 years ago

When a base is not indicated, what is the base equal to?

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Please help!!!!!!!!!! 25 points

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Answer: 3.3 × 10⁹

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

<u>Given expression</u>

(3 × 10⁴) × (1.1 × 10⁵)

<u />

<u>Put like terms together</u>

=3 × 1.1 × 10⁴ × 10⁵

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3 years ago

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