You are borrowing $4,285 to purchase a computer using a 36 month installment plan. Determine the annual percentage rate (APR) and the monthly payment given that the interest charge is $513.26. Round your answer to the nearest whole percent and to the nearest cent.

Answers

Answer 1

Answer: The price of the computer is 4 285 dollars which you borrowed for an installment plan.
The amount you borrowed is 4 285 dollars.
Interests = 513.26 dollars for 36 months
=> 36 months / 12 = 3 years
=> 4 285 + 513.26 = 4 798.26 dollars
=> 4 798.26 dollars / 3 years = 1599.42 dollars per year
=>599.42 dollars / 12 months 133.29 dollars per month

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Density

Calculate the density of an object with mass 45 grams and volume 25cm^3

Answers

Answer:

1.8g/cm^3

Step-by-step explanation:

Density = mass/volume

=> Density = 45/25

=> Density = 9/5

=> Density = 1.8 g/cm^3

If brady spends 19.50 on gas , what is the total distance the boys could travel?

Answers

You have to know the price before anyone can solve this. Say it was 3.50$ a gallon, you multiply $19.50 by the price of gas($3.50) and you get 68.25, this means you can go 68.25 miles.

A cube has a side length of 4 inches. What is the surface area of the cube? a.16 in. b.64 in. c. 96 in. d.164 in.

Answers

Answer: C

Step-by-step explanation: The surface area of a cube is calculated by $6x^(2)$ , where x is the side length of the cube. So, 6 * (4)^2 = 96 inches squared, or C

How do I sort all of these into the right boxes?

Answers

Major (c): Half steps at 3-4, 7-8. Natural Minor (a): Half steps at 2-3, 5-6. Ascending Melodic Minor (b): Half steps at 2-3, 5-6, 7-8. Harmonic Minor (d): Half steps at 2-3, 7-8.

1. c. Major: The major scale features half steps between scale degrees 3 and 4, and 7 and 8. This pattern contributes to the bright and uplifting quality of the majorscale.

2. a. Natural Minor: The natural minor scale has half steps between scale degrees 2 and 3, and 5 and 6. These intervals create a unique sound associated with the natural minor, often perceived as more melancholic or introspective compared to the major scale.

3. b. Ascending Melodic Minor: Ascending melodic minor includes half steps between scale degrees 2 and 3, 5 and 6, and 7 and 8. This variation is used specifically in the ascending direction, providing a smoother transition and avoiding the augmented interval between the 6th and 7th degrees.

4. d. Harmonic Minor: The harmonic minor scale has half steps between scale degrees 2 and 3, and 7 and 8. The raised 7th degree imparts a distinct sound, often associated with a hint of tension and drama in the harmonic minor scale.

For more such questions on Harmonic:

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Que. Match these scales with where their half steps fall.

1. Half steps between scale degrees 3 and 4, 7 and 8

2. Half steps between scale degrees 2 and 3, 5 and 6

3. Half steps between scale degrees 2 and 3, 5 and 6,7 and 8

4. Half steps between scale degrees 2 and 3, 7 and 8

a. Natural Minor

b. Ascending melodic minor

c. Major

d. Harmonic minor

Answer:

You find the right Definion to the word you will get them in the right box.

Step-by-step explanation:

salma purchased a prepaid phone card for $20. long distance calls cost 24 cents a minute using this card. salma used her card only once to make a long distance call. if the remaining credit on her card is $13.52. how many minutes did her call last?

Answers

We can set up an equation to solve this problem, but first we need to write out what we know.

$20 overall
$0.24 every minute
$13.52 remaining on the card

Now that we know our information, we can set it up in an equation.

20 - 0.24x = 13.52

The 20 represents $20 overall when she first got the phone card.
We are then subtracting $20 from how must it costs a minute (which is 24 cents). The 'x' indicates the number we are trying to find (how many minutes her call lasted). Lastly, 13.52 is the result of everything, since she has $13.52 remaining on the card.

We can now solve the equation:

20 - 0.24x = 13.52
-0.24x = 13.52 - 20 /// subtract 20 from each side
-0.24x = -6.48 /// simplify
x = 27 /// divide each side by -0.24

Our solution is: x = 27.

-----

An easier way to solve this problem would be to first, subtract the total amount of money she had on the card when she first got it, and then the remaining total she ended up with.

$20 - $13.52 = $6.48

So, she spent a total of $6.48 on long distance calls, but since we are looking for how many minutes, we need to divide the total she spent and how much it costs per minute.

6.48 ÷ 24 = 27

We receive the same amount of minutes spent just like we did the last way we solved.

-----

Salma spent 27 minutes on the phone.

Simplify $(1-3i)(1-i)(1+i)(1+3i)$

Answers

$(1-3i)(1-i)(1+i)(1+3i)=\n(1^2-(3i)^2)(1^2-i^2)=\n(1+9)(1+1)=\n10\cdot2=20$

Answer:

$\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}$

Step-by-step explanation:

$(1-3i)(1-i)(1+i)(1+3i)\n\n\text{use the commutative property}\n\n=(1-3i)(1+3i)(1-i)(1+i)\n\n\text{use the associative property}\n\n=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\n\n\text{use}\ (a-b)(a+b)=a^2-b^2\n\n=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\n\n=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\n\n\text{use}\ i=√(-1)\to i^2=-1\n\n=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\n\n=\bigg(1+9\bigg)\bigg(1+1\bigg)\n\n=(10)(2)\n\n=20$

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