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2 years ago

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Suppose you invest $150 a month for 3 years into an account earning 7% compounded monthly. After 3 years, you leave the money, w

ithout making additional deposits, in the account for another 23 years. How much will you have in the end?

1 answer:

Mrac [35]2 years ago

4 0

Answer: You would have $109,802.56 in the end.

Step-by-step explanation:

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Need help with these proofs.

12345 [234]

Step-by-step explanation:

it is proved in above figure

8 0

2 years ago

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:

Delicious77 [7]

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

4 0

2 years ago

According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQ

erma4kov [3.2K]

Answer:

Transitive

Step-by-step explanation:

4 0

3 years ago

Find the volume of the cone. Round your answer to the nearest hundredth

tankabanditka [31]

Answer:

$V=8042.47\ cm^3$

Step-by-step explanation:

Given that,

The radius of the cone, r = 16 cm

The height of the cone, h = 30 cm

The slant height of the cone, l = 34 cm

We need to find the volume of the cone. The formula for the volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2 h$

Put all the values,

$V=\dfrac{1}{3}\times \pi \times (16)^2 \times 30\\\\V=8042.47\ cm^3$

So, the volume of the cone is equal to $8042.47\ cm^3$ .

6 0

2 years ago

The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x-4)^3-7. The point (0,0) on the graph of f(x

wel

<h2>Answer: </h2>

(4, -7)

<h2>Step-by-step explanation: </h2>

In this exercise we have two functions:

$f(x)=x^3 \ and \\ \\ g(x)=(x-4)^3-7$

The figure below shows the graph of both functions. The graph of the function f has been plotted in red while the graph of the function g has been plotted in blue. As you can see, the graph of the function g has been shifted four units to the right and seven units downward. In other words, the point (0, 0) on the graph of f(x) corresponds to the point (4, -7) on the graph of g(x) and this is also shown in the figure below.

8 0

2 years ago