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3 years ago

Compare the investment below to an investment of the same principal at the same rate compounded annually.

Mathematics

2 answers:

Margarita [4]3 years ago

7 0

9514 1404 393

Answer:

compounding 6 times per year earns $458.36 more interest over 20 years

Step-by-step explanation:

We can compute the value of the investment for the different compounding schemes. The applicable formula is ...

A = P(1 +r/n)^(nt)

where P is the principal, r is the annual rate, n is the number of interest periods per year, and t is the number of years.

Compounded 6 times per year:

A = $3000(1 +.07/6)^(6·20) ≈ $12,067.41

Compounded 1 time per year:

A = $3000(1.07)^20 ≈ $11,609.05

Marrrta [24]3 years ago

5 0

Answer:

Can you please describe the problem more detailed pls?

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Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.

Sergeeva-Olga [200]

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points

Part D

Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.

8 0

4 years ago

PLZ HELP ME!! IF YOUR A GENUIS

polet [3.4K]

Since "p" represents the number of pounds of peanuts and:

4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:

4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:

4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:

0.9 = 0.45p [then by dividing both sides by 0.45 we have:

2 = p

So there are 2 pounds of peanuts needed for the trail mix.

6 0

2 years ago

The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?

REY [17]

Point A represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the x axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point A, while the reflection of z₂ across the x-axis gives the point L

Therefore;

Point A represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

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3 years ago

3. * 25 points Calculate the length of minor arc AB. I

Alenkinab [10]

Answer:

can you upload a photo

Step-by-step explanation:

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3 years ago

In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fo

dsp73

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

The probability that Philippines will win the game is $P(A) = 0.6055$

The probability that Philippines will lose the game is $P(B) = 0.00365$

The probability that the game will be sent to overtime is $P(C) = 0.06$

Step-by-step explanation:

From the question we are told that

The probability of Paul Dalistan making a shot is p = 0.846

The probability of Paul Dalistan not making the shot is $q = 1- p = 1- 0.846=0.154$

Paul Dalistan team was down by two points

This mean that for Paul Dalistan's team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

$P(A) = p^3$

=> $P(A) = 0.846^3$

=> $P(A) = 0.6055$

Gnerally for Paul Dalistan's team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is

$P(B) = q^3$

=> $P(B) = (0.154 )^3$

=> $P(B) = 0.00365$

Generally for the game to be sent to overtime then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

Hence the probability that game will go to overtime is

$P(C) = 3 * 0.846 * 0.154 * 0.154$

$P(C) = 0.06$

6 0

4 years ago

Compare the investment below to an investment of the same principal at the same rate compounded annually. ​

Compare the investment below to an investment of the same principal at the same rate compounded annually.