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Alex17521 [72]
3 years ago
13

Correct answers only please!

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

$125.97

Step-by-step explanation:

To answer this question, simply plug the known values into the equation. We know that 100 is the principal (starting amount), 0.08 is the interest rate as a decimal, and t is 3 years.

Now plug in all those values to the given formula: B = p(1 + r)^t

Solve, and you end up with $125.9712, rounded to $125.97

You might be interested in
Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?
ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

A=P(1+\frac{r}{n})^{n*t}

where A= accrued value (principal plus the accumulated  interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0
3 years ago
Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship ​. NEED HELP PLEASE
gizmo_the_mogwai [7]

Answer:

y = \frac{4}{3} x + 17  

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}

Thus, the slope is \frac{4}{3}.

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

The m represents the slope of the equation, so substitute it for \frac{4}{3}. The b represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

y = \frac{4}{3} x + 17

7 0
3 years ago
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Lina20 [59]

Answer:

<h3>⇒ A. 2 should be distributed as 2y + 12, y = 6</h3>

Step-by-step explanation:

Here are the steps to solve this equation:

<u>Given:</u>

First step: 2(y+6)-4y

Use the distributive property.

<u>Distributive property:</u>

<h3>⇒ A(B+C)=AB+AC</h3>

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}

Solve.

Divide the numbers from left to right.

<u>Solutions:</u>

-12/-2=6

\Longrightarrow: \boxed{\sf{y=6}}

  • <u>Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".</u>

I hope this helps. Let me know if you have any questions.

4 0
2 years ago
What is x equal to ?
denis23 [38]

Answer:

8.62

Step-by-step explanation:

a squared + b squared = c squared

15 squared + b squared = 17.3 squared

225 + b squared = 299.29

b squared = 74.29

b = 8.619

7 0
3 years ago
Help please It would mean a lot
Vera_Pavlovna [14]

the answer is 3/5

if that's not right I apologize

6 0
3 years ago
Read 2 more answers
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