MATHEMATICS HIGH SCHOOL

Michelle wants to make a long-term investment. She wants to triple an initial investment of$2,000. If she invests at a simple interest rate of 12% per year, approximately how long will it
take her principal to triple?

Answers

Answer 1

Answer:

It will take approximately 17 years

Step-by-step explanation:

Let the initial investment be x

The investment plus the principal yields 3x

The interest is thus 3x-x = 2x

Formula for simple interest is;

I = PRT/100

R is rate = 12%

T is time = ?

x =$2,000 which is the principal

2x = x * 12 * T/100

2 = 12t/100

12t = 200

t = 200/12

t = 16.67 which is approximately 17 years

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How do you show work for 604.8 divided by 36

Find the range for f(x) = x^2 1, for x < 0.y ≥ 1
y > 1
y < 1
y ≤ 1

Answers

For x < 0, range is y ≤ 1.

You have 3/4 of a pie leftover after your party. Each guest takes home 1/6 of the leftover pie.What fraction of the pie does each guest take home?
A)3/10 of a pie
B)2/5of a pie
C)2/9 of a pie
D)1/8 of a pie

Answers

Hi there! This is simple multiplication. 3/4*1/6=3/24. 3/24 simplified is 1/8. Therefore, the answer is D) 1/8 of a pie.

The time it takes for an object stopped from a certain speed can be modeled by the equationt=1/2 square root v, where v is the speed of object in meters per second. if it takes 3 seconds for the object to stop, what is the speed of object in meters per second?

Answers

Given:
t = 1/2 √v
v = speed of object meters per second

t = 3 seconds

3 = 1/2 √v
3 * 2 = √v
6 = √v
6² = √v²
36 meters = v

v = 36 meters per second

Slope of (-2-7)(3,5)

Answers

To find the slope $ m $ of the line passing through two points, you can use the formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Where:
$ (x_1, y_1) $ is the first point.
$ (x_2, y_2) $ is the second point.

Given the points are:
$ (x_1, y_1) = (-2, -7) $
$ (x_2, y_2) = (3, 5) $

Plug in the values:

\[ m = \frac{5 - (-7)}{3 - (-2)} \]
\[ m = \frac{12}{5} \]
\[ m = 2.4 \]

So, the slope of the line passing through the points (-2,-7) and (3,5) is 2.4.

The equation to find slope is basically;
Rise/Run or (y2-y1)/(x2-x1)

And the answer of this problem will equal when the point are put into equation;
=12/5

So your slope is 12/5!

Represent the polynomial x2 – 16 geometrically using algebra tiles. The number of zero pairs that will be added to the board is24 816 . The equivalent factored form of x2 – 16 is(x – 16)(x + 1)(x – 4)(x – 4)(x + 4)(x + 4)(x – 4)(x + 4) .

Answers

Answer:

Fourth option: (x-4)(x+4)

Step-by-step explanation:

x^2-16

Using a^2-b^2=(a-b)(a+b) with:

a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x

b^2=16→sqrt(b^2)=sqrt(16)→b=4

Then:

x^2-16=(x-4)(x+4)

Answer:

The number of zero pairs that will be added to the board is

✔ 4

The equivalent factored form of x2 – 16 is

✔ (x – 4)(x + 4) (D)

A local bowling alley charges $3 per game, plus $5 to rent a pair of shoes. Write an algebraic expression that models the cost of renting one pair shoes and bowling g games.