$500(1+0.045)^2 -$500(1+0.04)^3

N/-3-2=8 how do I solve this

Gnom [1K]

Answer:

n=-30

Explanation:

Given the equation:

$\frac{n}{-3}-2=8$

Step 1: Add 2 to both sides.

$\begin{gathered} \frac{n}{-3}-2+2=8+2 \\ \frac{n}{-3}=10 \end{gathered}$

Step 2: Multiply both sides by -3.

$\begin{gathered} \frac{n}{-3}\times-3=10\times-3 \\ n=-30 \end{gathered}$

The solution to the equation is n=-30,

6 0

2 years ago

Find the volume of the composite figure to the nearest tenth. Use 3.14 for pi.

Vilka [71]

Given:

In the given fig,

The radius of the cylinder = 15 ft

The height of the cylinder = 26 ft

The height of the cone = 21 ft

The radius of the cone = 15 ft

To find the volume of the cone, the volume of the cylinder and the composite figure.

Formula

The volume of the given composite fig is

$V = V_{1} +V_{2}$

where, $V_{1}$ be the volume of the cone.

$V_{2}$ be the volume of the cylinder.

$V_{1} = \frac{1}{3} \pi r^{2} h$ , r be the radius and h be the height.

$V_{2} = \pi r^{2} h$ , r be the radius and h be the height.

Now,

Putting, r = 15, h = 21 and π = 3.14 we get,

$V_{1} = \frac{1}{3} (3.14)(15^{2} )(21)$ cube ft

$V_{1} = 4945.5$ cube ft

Again,

Putting,

$V_{2} = (3.14)(15^{2} )(26)$ cube ft

$V_{2} = 18369$ cube ft

Therefore, the volume of the composite fig = (4945.5+18369) cube ft = 23314.5 cube ft

Hence,

a) The volume of the cone is 4945.5 cube ft.

b) The volume of the cylinder is 18369 cube ft.

c) The volume of the composite figure is 23314.5 cube ft.

3 0

3 years ago

Can someone help please?

Marina CMI [18]

Answer:

g(7) = 16

Step-by-step explanation:

When evaluating piecewise-defined functions, the first step is to determine which domain the value of the independent variable falls into. Then the associated function is evaluated in the usual way.

__

For x=7, the applicable domain is (2, ∞). This means the applicable function is ...

g(x) = (x +1)(x -5)

For x=7, this is ...

g(7) = (7 +1)(7 -5) = (8)(2)

g(7) = 16

6 0

2 years ago

HELP PLEASE!!!!

Daniel [21]

Answer: A. Use Pythagorean Theorem to prove that KL is equal to c.

=========================================================

Explanation:

If we could show that KL = c, then we can tie together the following pairs of segments

EG = KM = a
GF = ML = b
EF = KL = c

Then we'd use the SSS congruence theorem to prove the triangles are congruent. The last step is to use CPCTC to conclude that angle EGF is a 90 degree angle.

Keep in mind that we need to know the actual numeric values of 'a' and 'b' to be able to determine the value for c. So without the numbers, the Pythagorean theorem isn't really useful; however, I can see where your teacher is going with this line of logic. Your teacher is effectively just laying out a basic outline more or less.

----------

Notes:

SSS = side side side
CPCTC = corresponding parts of congruent triangles are congruent

4 0

3 years ago

-1/4b + 1/2 = 5/6<br>Find b

QveST [7]

Answer:

b = -4/3

Step-by-step explanation:

First, subtract the 1/2 over

-1/4b+1/2=5/6

5/6-1/2

To get a common denominator of 6, multipy 1/2 by 3

5/6-1/2(3)

5/6-3/6=2/6

-1/4b=2/6

Next, multiply by the reciprocal of -1/4, or -4

(-4)-1/4b=2/6(-4)

b=-4/3

7 0

3 years ago