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3 years ago

I need help i will give branly to eny one that anserwes it corecctly

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

8.43 has 2 decimal digits. 0.06 has 2 decimal digits.

The product of 8.43 and 0.06 will have 2*2 = 4 decimal digits.
843*6 = 5058
8.43*0.06 = 0.5058

olchik [2.2K]3 years ago

4 0

8.43 has two decimal digits. 0.06 has two decimal digits.

The product of eight.43 and 0.06 can have 2*2 = four decimal digits.

843*6 = 5058

8.43*0.06 = 0.5058

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If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?

Zinaida [17]

Answer:

$300,000

Step-by-step explanation:

To find 8% of 100,000 all you need to do is multiply 100,000 by .08.

100,000 (.08) = 8,000

The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.

8,000 (25) = 200,000

Now add the initial amount to the additional 200,00 that will be paid to the retirement account.

100,000 + 200,000 = 300,000

The answer is $300,000.

6 0

2 years ago

Claire is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will hav

nydimaria [60]

Answer:

1. $66

2. 30 + 4r

Step-by-step explanation:

Let

Price of admission into the park=$30

Price of every ride in the park=$4

Number of rides =x

Total cost of going to the park= 30+4x

1. How much money would Claire have to pay in total if she goes on 9 rides

Total cost of going to the park= 30+4x

When x=9

=30+4x

= 30 + 4(9)

=30 + 36

=$66

2. How much would she have to pay if she goes on r rides?

When x=r

Total cost of going to the park= 30+4x

= 30 + 4(r)

=30 + 4r

4 0

3 years ago

Read 2 more answers

Find the angle between u =the square root of 5i-8j and v =the square root of 5i+j.

fenix001 [56]

Answer:

The angle between vector $\vec{u} = 5\, \vec{i} - 8\, \vec{j}$ and $\vec{v} = 5\, \vec{i} + \, \vec{j}$ is approximately $1.21$ radians, which is equivalent to approximately $69.3^\circ$ .

Step-by-step explanation:

The angle between two vectors can be found from the ratio between:

their dot products, and
the product of their lengths.

To be precise, if $\theta$ denotes the angle between $\vec{u}$ and $\vec{v}$ (assume that $0^\circ \le \theta < 180^\circ$ or equivalently $0 \le \theta < \pi$ ,) then:

$\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}$ .

<h3>Dot product of the two vectors</h3>

The first component of $\vec{u}$ is $5$ and the first component of $\vec{v}$ is also

The second component of $\vec{u}$ is $(-8)$ while the second component of $\vec{v}$ is $1$ . The product of these two second components is $(-8) \times 1= (-8)$ .

The dot product of $\vec{u}$ and $\vec{v}$ will thus be:

$\begin{aligned} \vec{u} \cdot \vec{v} = 5 \times 5 + (-8) \times1 = 17 \end{aligned}$ .

<h3>Lengths of the two vectors</h3>

Apply the Pythagorean Theorem to both $\vec{u}$ and $\vec{v}$ :

$\| u \| = \sqrt{5^2 + (-8)^2} = \sqrt{89}$ .
$\| v \| = \sqrt{5^2 + 1^2} = \sqrt{26}$ .

<h3>Angle between the two vectors</h3>

Let $\theta$ represent the angle between $\vec{u}$ and $\vec{v}$ . Apply the formula $\displaystyle \cos(\theta) = \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|}$ to find the cosine of this angle:

$\begin{aligned} \cos(\theta)&= \frac{\vec{u} \cdot \vec{v}}{\| u \| \cdot \| v \|} = \frac{17}{\sqrt{89}\cdot \sqrt{26}}\end{aligned}$ .

Since $\theta$ is the angle between two vectors, its value should be between $0\; \rm radians$ and $\pi \; \rm radians$ ( $0^\circ$ and $180^\circ$ .) That is: $0 \le \theta < \pi$ and $0^\circ \le \theta < 180^\circ$ . Apply the arccosine function (the inverse of the cosine function) to find the value of $\theta$ :