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Rainbow [258]
3 years ago
12

10,000 is compounded quarterly at 12% interest for t years, what expression represents the amount of money after t years

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:  10,000(1.03)⁴ˣ  

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

A = P(1 + \frac{r}{n})ⁿˣ

A is the amount (new balance):  <u> unknown </u>

P is the principal (amount you started with):  <u> 10,000 </u>

r is the interest rate: 12% = <u> .12 </u>

n is the number of times per year it is compounded: quarterly = <u> 4 </u>

x is the number of years: <u> x </u>

A = 10,000(1 + \frac{.12}{4})⁴ˣ

   = 10,000(1 + .03)⁴ˣ

   = 10,000(1.03)⁴ˣ

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Mary Catherine made 2 gallons of punch for his party how much cups of punch do you make
BabaBlast [244]

32 cups


It is thirty two cups because that’s how many are in 2 gallons

4 0
2 years ago
Y = 3/5x + 1, 5y = 3x - 2, 10x - 6y = -4<br> is it perpendicular, parallel, neither
Ber [7]

Answer:

y=\frac{3}{5} x+1 and 5y=3x-2 are parallel.

10x-6y=-4 is neither parallel nor perpendicular.

Step-by-step explanation:

First, you have to simplify each equation in terms of y.

y=\frac{3}{5} x+1\\5y=3x-2\\10x-6y=-4

Your first equation is already in terms of x, so simplify your second equation.

5y=3x-2\\y=\frac{3}{5} x-\frac{2}{5}

Now you can simplify your third equation.

10x-6y=-4\\-6y=-10x-4\\y=\frac{5}{3} x+\frac{2}{3}

These are your three equations in terms of y:

y=\frac{3}{5} x+1\\\\y=\frac{3}{5} x-\frac{2}{5} \\\\y=\frac{5}{3} x+\frac{2}{3}

Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.

Two parallel lines will have the exact same slope.

Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of -\frac{1}{2}, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.

Your first two equations have the same slope and are therefore parallel.

Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.

5 0
2 years ago
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 qu
mina [271]

Answer:

-10 points

Step-by-step explanation:

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Let us say Initial number of points = 0

Hence,

He answers 2 incorrectly = 0 - 50 - 50

= -100

He answers 3 correctly =-100 + 30 + 30 + 30

His final score = -100 + 30 + 30 + 30

= -10 points

8 0
2 years ago
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maxonik [38]

Answer:

x^3y^2+x^2y^3-x^2-y^2

Step-by-step explanation:

I will edit my answer if you need my explanation.

If this has helped you please mark as brainliest

4 0
2 years ago
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Answer:

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