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2 years ago

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Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?

1 answer:

tatyana61 [14]2 years ago

4 0

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?

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A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the

velikii [3]

Answer:

$\theta=cos^{-1}(\frac{2}{3})$

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

$\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}$

$\times =2\hat{i}-\hat{j}+2\hat{k}$

Now, we are finding the angle between $\times$ and vertical vector <0,0,1>

Angle between two vectors formula

$cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }$

Now, using this formula

$cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}$

$\theta=cos^{-1}(\frac{2}{3})$

Hence, the tower deviate from the vertical by the angle $\theta=cos^{-1}(\frac{2}{3})$

6 0

2 years ago

119.31 is 82% of what number

madam [21]

To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
solve
x <span>≈ 145.5</span>

Hope this helps :)

5 0

2 years ago

Read 2 more answers

Mr. Lobo is building a fence rectangular around his rectangular yard. It is 16 feet long and 14 feet wide. How much feet of feet

lawyer [7]

Answer:

30

Step-by-step explanation:

14+16 1. Break it down 14 is equal to 10+4 16 is equal to 10+6 2. Add the biggest numbers together first 10+10 = 20 3. Add the smaller numbers together 6+4 = 10 4. Add all of the numbers together 20+10 = 30

4 0

2 years ago

In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 e

sergij07 [2.7K]

Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

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

The function is given by:

$f(x) = \sqrt{x^2 + 2x - 15}$

The graph is given at the end of this question.

If the function is pointing upwards, it is increasing. Otherwise, it is decreasing.
In the graph, it can be seen that it is pointing upwards for x of -5 and less, or 3 and higher, thus, the interval is:

(–∞, –5] ∪ [3, ∞)

A similar problem is given at brainly.com/question/13539822

3 0

2 years ago

A new obstacle course is home to several new types of challenging obstacles. One such obstacle is traversing a 15-stair staircas

Tresset [83]

Answer: $22\frac{1}{2}\text{ Feet}$

Step-by-step explanation:

Here, the vertical space between two consecutive stairs in first 10 stairs = $1\frac{1}{3}\text{ feet}$

⇒ The total vertical distance for 10 stairs = $10\times 1\frac{1}{3}=10\times \frac{4}{3}=\frac{40}{3}\text{ feet}$

Also, The vertical space between two consecutive stairs for last 5 stairs = $1\frac{3}{4}\text{ feet}$

⇒ The total vertical distance for 10 stairs = $10\times 1\frac{1}{3}=5\times \frac{7}{4}=\frac{35}{4}\text{ feet}$

Thus, The total vertical distance = Total vertical space for the first 10 stairs + Total vertical space for the last 5 stairs

= $\frac{40}{3} + \frac{35}{4}$

= $\frac{160+105}{12}$

= $\frac{265}{12}$

= $22\frac{1}{2}\text{ Feet}$

4 0

2 years ago