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3 years ago

1

Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

Answer:

reflected over the x-axis, compressed horizontally by a factor of 1/2.

Step-by-step explanation:

y(x) and f(x) means the same.

y = -(2x) means that y(x) was multiplied by -1, and x was replaced by 2x

-y(x) reflects y(x) across x-axis

y(a*x) compresses horizontally y(x) by a factor of 1/a. Here, a is 2, then the factor is 1/2.

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Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals

GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

$A=P(1+rt)$

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

$A=2000(1+0.02(20))$

Multiply and add:

$A=2000(1+0.4)=2000(1.4)$

Multiply. So, the total amount of money in Account A after 20 years is:

$A=\$2800$

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of $2800-2000=\$ 800$

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

$B=P(1+\frac{r}{n}})^{nt}$

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

$B=2000(1+\frac{0.02}{1})^{(1)(20)}$

Simplify this to acquire:

$B=2000(1.02)^{20}$

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

$B\approx\$2971.89$

Since our principal was $2000, this means that we earned an interest of approximately $2971.89-2000=\$ 971.89$ .

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned $971.89-800=\$ 171.89$ more than Account A.

And we're done!

5 0

3 years ago

How does the area of the polygons compare to π? ( π is 3.14)

soldi70 [24.7K]

The area of the polygons compare to π in the way that as more angles and sides are added to a polygon the polygon becomes closer to a circle; the perimeter slowly changes to circumference. Π is used to find the area and circumference of a circle, so as polygons come closer to becoming circles π becomes more strongly associated to the polygon. You can even use π to find the approximate area of a circle if you use the same formula (as you would to find the area of a circle) on a polygon. Another way to go about it is like this…

You can find the area of a circle if you know the circle’s circumference by using these steps:

1. Divide the circumference by π to find the diameter of the circle.

2. Divide the diameter by 2 to find the radius of the circle.

3. Now that you have the radius you can use the formula Area= πr2 to find the area of the circle.

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3 years ago

Read 2 more answers

An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural. Wh

dmitriy555 [2]

Since there are 6 tubes of red paint and 13 tubes of red paint the ratio of red to white would be 6:13

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3 years ago

9+ 13 + 17 + ...+ 457=

Readme [11.4K]

Answer:

418

Step-by-step explanation: 457-17-13-9=418

To double check: 418 + 17 + 13 + 9 = 457

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3 years ago

One afternoon in January, the temperature outside was -4*F. By midnight, the temperature had dropped by 10*F. what was the tempe

loris [4]

The temperature at midnight would be -14*F. Subtract 10 from -4 and you get -14*F

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2 years ago