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2 years ago

Given the formula A = P(1 + )". compute A (rounded to two decimal places) if P = 10,000,7

Mathematics

1 answer:

Flura [38]2 years ago

4 0

Answer:

A = 16010.32

Step-by-step explanation:

Given that,

$A=P(1+\dfrac{r}{k})^n$

Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.

$A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32$

So, the value of A is 16010.32. Hence, the correct option is (B).

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true <br> plsss help :)))

Ivanshal [37]

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

$\frac{9}{1}$ ÷ $-\frac{1}{3}$ = $\frac{9}{1}$ · $-\frac{3}{1}$

= -27

2. Divide both sides by 2:

2(x - 9) = -27

$\frac{2(x-9)}{2} = \frac{-27}{2}$

(x - 9) = $-\frac{27}{2}$

3. Add 9 to both sides:

x = $-\frac{9}{2}$

(or 4.5 if you need it in decimal form)

hope this helps!

6 0

2 years ago

Given that sin x = cos 2x find the value of x

natali 33 [55]

Answer:

The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.

Step-by-step explanation:

7 0

2 years ago

Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A

polet [3.4K]

Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.

<h3>What is the union of events J and K?</h3>

It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.

<h3>What is the complement?</h3>

The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:

15 + x = 58

x = 43.

The number of outcomes that are possible for the complement of the union of Events J and K is of 43.

More can be learned about complementary events at brainly.com/question/9752956

6 0

1 year ago

What is the range of this graph

Arlecino [84]

Answer:

[0,12]

Step-by-step explanation:

7 0

2 years ago