The slope of the line below is -1/7. Write a point-slope equation of the line

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

A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init

Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is $b = 25$ , the slope is of $a = 0.09$ , and the function is:

$A(x) = 0.09x + 25$

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is $b = 0$ , the slope is of $a = 0.14$ , and the function is:

$B(x) = 0.14x$

The plans cost the same for x minutes of calling, considering that:

$B(x) = A(x)$

$0.14x = 0.09x + 25$

$0.05x = 250$

$x = \frac{250}{0.05}$

$x = 5000$

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0

3 years ago

Evaluate x^0 + y^0 for x=3 and y=2

sveta [45]

x^0 + y^0

3^0 + 2^0

1 + 1 =2

your answer : 2

<u>Hint any number with the power of zero is 1</u>

Hope i helped!!! :)

3 0

4 years ago

HELP!!!!! Explain how to solve 7x−3 = 26 using the change of base formula. Include the solution for x in your answer. Round your

DiKsa [7]

26-3=7x (23)
23 divided by 7 =3.2857 (x)

6 0

2 years ago

Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect

My name is Ann [436]

Answer:

$y=\frac{4}{3}x$

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m or unit rate of the line and the line passes through the origin

so

In this problem we have

$k=\frac{4}{3}$

substitute

$y=\frac{4}{3}x$

using a graphing tool

The graph in the attached figure

3 0

4 years ago

Read 2 more answers