calculate the amount that would remain in an investment account after 3 years if you were to deposit 1500 every month starting today but would withdraw 750 at the end of every 12 month period. interest is 14% compounded monthly​

Answer:

1st expression= rational 2nd expression= rational 3rd expression = irrational

Step-by-step explanation:

The first and second expressions are rational because they both equal whole numbers (4 and 3) while the last expression equals a decimal that goes on forever with no end, thus making it irrational.

This is simply done by Method of Completing the Square.

3x - x²

Add and subtract half the coefficient of x and square it.

( This is done so there'd be no alterations to the quadractic Expression)

So To start

We'd like x² to be positive...(So factor out a negative).

–(x² - 3x )

Now In this case

You see there's a Negative Outside the the bracket

Instead of adding and Subtracting squared values of half the coefficient of X... We'd Add Twice and do not subtract.

Reason: If you add outside the bracket and subtract the other inside the bracket... This will be wrong because there's a negative patiently waiting outside the bracket to Interact with the negative you subtracted to make it Positive.

See what I mean.

Let's say you added 2² and subtracted 2² in this problem

2² – ( x² - 3x - 2²)

If you decide to open the bracket

You'll have

2² – x² + 3x + 2²

NOW THIS IS WRONG BECAUSE WE ALTERED THIS EXPRESSION. WHERE'D 2² + 2² COME FROM?

THIS IS WHY YOU'LL ADD THE SQUARED COEFFICIENT OF X TWICE IN CASES LIKE THESE.

SO GOING BACK TO THE ORIGINAL QUESTION.

– (x² - 3x )

Adding the half the coefficient of x twice and squaring them...

Coefficient of x = 3

Half of 3 = 3/2

Squaring it gives (3/2)²

NOW PROCEEDING

(3/2)² – [ x² - 3x + (3/2)²]

If you open this bracket... (3/2)² will cancel out with —(3/2)²

Meaning that we haven't altered the expression in any way

Moving On...

Applying basic factorizing principle

9/4 – ( x - 3/2)².

Answer = 9/4 – ( x - 3/2)² Which is in the Form m – ( x - n )²

Therefore m = 9/4 and n = 3/2.

Hope This Helps

Answer:

25/100

Step-by-step explanation:

0.25=25/100

Hope this helps! Thanks.

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

Answer:

they travel 115 km/h long

Answer:

Question unclear

Step-by-step explanation:Your probally asking what times 8 gives us 80. If you are than 10!

Answer:

28

Step-by-step explanation:

x=blue

y=white

x+y=40

30x+20y=920

30(x+y=40) ; 30x+30y=1200___[1]

30x+20y=920 ; 30x+20y=920___[2]

[1]-[2] : 30x+30y-30x-20y=1200-920

       10y=280

       y=28

painter buys 28 white gallons

Answer:

78,000

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Step-by-step explanation:

Let [tex]P_1(-1, -8)\:\text{and}\:P_2(-4, -9)[/tex]

The slope of the line through these two points is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}[/tex]

So the slope-intercept form of the line passing through the two points is

[tex]y = mx + b = \frac{1}{3}x + b[/tex]

To find b, we use either point into our equation. Let's use (-1, -8):

[tex]-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}[/tex]

Therefore, the slope-intercept form of the equation for the line is

[tex]y = \dfrac{1}{3}x - \dfrac{23}{3}[/tex]

The standard form of the equation can be written as

[tex]x + 3y + 23 = 0[/tex]

Answer:

Step-by-step explanation:

the median is 89, the mode is 94, and the mean is 84

Answer:

if he work 3 hours and earn 40.50

then the money he earn per hour is 40.50/3=13.5 ans

Answer:

the answer is-2p-3

hope is helpful

Answer:

2p – 10 – 4p –7

–2p –17

I hope I helped you^_^

The equivalent form of the given expression is 1 /(x + y)

The given expression:

[tex]\frac{1}{x+y}[/tex]

To find:

The equivalent form of the expression can be written as follows:

[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]

For example, if x = 1 and y = 2, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]

Also, if x = 2 and y = 3, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]

Thus, the equivalent form of the given expression is 1 /(x + y)

Learn more here: https://brainly.com/question/15469690

Answer:

The 2 is 200

The 3 is 3000

The 1 is 1

And if needed

The 6 is 60

Step-by-step explanation:

2 is in hundredths place

3 is in thousand place

6 is in tens place

1 is in ones place

hope this helps

Answer:

107 full and .103 of another

Step-by-step explanation:

6212/58 =

Answer:

-11,9.42,10,11.8

-11<9.42<10<11.8

Answer:

I think the answer is

-11, 9.24 ,10, 11.8

Area of rectangle = Length * Width

Area = 11.3 cm * 14.8 cm

Area = 167.24

Perimeter of rectangle = 2 (L + W)

Perimeter = 2 (11.3 cm + 14.8 cm)

Perimeter = 2 (26.1 cm)

Perimeter = 52.2 cm²

Area of rectangle is 167.24 cm²

Perimeter of rectangle is 52.2 cm²

Hi there!

The numbers you have written there are correct.

[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.

When a number is less than 0, we know that it has to be negative.

However, it cannot be more negative than -5. It cannot be -5 either.

So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.

I hope this helps!

Answer:

24

Step-by-step explanation:

The scaled factor is 3 for all of them.

Answer:

Step-by-step explanation:

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

Step-by-step explanation:

Accounts balance=$20

Part time job salary=$110

Total balance

\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}

⟼110+20=130$

Now

Price of comics=$40

Price left for bike

\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}

⟼130−40=90$

After buying the dream bike, John's account balance will be -$110.

Let's calculate John's account balance after each transaction step by step:

1. Initial balance: $20

2. Weekly paycheck: +$110

  Account balance = $20 + $110 = $130

3. Buys comic books: -$40

  Account balance = $130 - $40 = $90

4. Buys dream bike: -$200

  Account balance = $90 - $200 = -$110

After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.

To know more about account:

https://brainly.com/question/6975956

#SPJ3

Answer:

the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.

Step-by-step explanation:

Step 1:

Measure the change in X and Y of a single length of the original image.

X1 = 3.5

Y1 = 5

Step 2:

Measure the change in X and Y of the same length on the modified image.

X2 = 8.5

Y2 = 12.5

Step 3:

use formula SF = X2/X1 = Y2/Y1

(SF = Scale Factor Dilation)

(X2 and Y2 = change in X and Y of the same length on the modified image.)

(X1 and Y1 = change in X and Y of a single length of the original image.)

X2 = 8.5

8.5/X1

X1 = 3.5

8.5/3.5

8.5/3.5 = 2.4

2.4

1 : 2.4

Answer:

76.25

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

-0.25

Answer:

you could have a 6 and then a -6

or a 3 and a -3

or 0 and 0

have 2 cards with the same number but one is negative

Step-by-step explanation: