Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

We are given the standard form of trinomial

[tex]ax^2+bx+c[/tex]

After factorization, the form is:

[tex](px+r)(qx+s)[/tex]

We have to compare the factored form and the standard form to find the values of a,b and c in terms of p,q,r and s. For this purpose, the factored form will be converted into standard form.

Multiplying the both factors

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Comparing both forms with each other

After comparing

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Answer:

.5 or 1/2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i took that test a while back.

Not certain if this question is complete

Answer and Step-by-step explanation:

We perform the operations given, using the rules of subtraction and addition on the number line:

Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :

2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)

-48-16= -64( two negative values add up to a negative value)

07-6= 1( seven is bigger than 6 hence positive result)

We use the above method to solve the given expressions

+76-200-73= -124-73=-192

-48-16=-64

+7-6-200-73=-199-73=-272

+1-13=-12

-48-16=-64

+07-6=1

+38-200-73=-162-73=-235

1-13=-12

07-6=1

38-73= -35

1, -1, 3, 38   &   0, 2, -2, -24

Answer: 29$

You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)

The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.

Then the price to rent a bike for 5 hours will be given as,

p(5) = 14 + 3(5)

Simplify the equation, then we have

p(5) = 14 + 15

p(5) = 29

The price to rent a bike for 5 hours will be $29.

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Answer:

8

Step-by-step explanation:

21x+12=180

21x= 168

x=8

Step-by-step explanation:

Both the angles added together create 180 degrees so,

15x+12+6x = 180

21x+12=180

21x=168

x=8

Answer:

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.

Step-by-step explanation:

Answer:

2.25(c+m)

Step-by-step explanation:

Answer:

5:9

Step-by-step explanation:

Number of sharks = 4

Number of dolphins = 5

Number of animals = number of sharks + number of dolphins

Number of animals = 4 + 5 = 9

Therefore, the ratio of dolphins to animals = 5:9

Answer:it’s (2,5)

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.

Given Equation:

4x - 9 = 6 - x

Add both side x of the equation

4x - 9 +x = 6 - x + x

5x = 6

Now, divide both side by 6 gives

5x/ 5 = 6/5

x = 1.2

Thus, the value of x is 1.2.

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Answer:

Step-by-step explanation:

Move -7 to the left, so make 7 positive and & move it next to 25

1. 3x = -10x +25+7

combine 25 & 7

2. 3x=-10x+32

move 10 to the side & combine with 3x

3.  3x+10x=+32

4. 13x = 32

lastly divide 32 from 13

Answer:x=32/13

Step-by-step explanation:

Rearrange terms−7+3=−10+25−7+3x=−10x+25

3−7=−10+25

add 7 to both sides of the equation

then Simplify

add 10 to both sides of the equation the

x=32/13

Answer:

(-5, 3)

Step-by-step explanation:

The midpoint formula: [tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]

Now, if we work backwards, starting with the x-coordinate

-2 * 2 = -4 - 1 = -5

Then, the y-coordinate

5 * 2 = 10 - 7 = 3

We reach our answer of (-5, 3). A good habit would be to plug these points back into the formula to check if your answer is correct.

Answer

A.y-6=-5/4(x+2)

D.y-1=-5/4(x-2)

E.y-3.5=-1.25x

Step-by-step explanation:

The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50

The data given :

X ____ Y

-2 ____ 6

0 ____ 3.5

2 ____ 1

4 ____ - 1.5

We could represent the equation in the form :

b = slope = Rise / Run

b = slope = Rise / Run c = intercept

From the table :

Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25

Using any pair of (x, y) values, we can obtain the intercept value :

Using ; (2, 1)

1 = -1.25(2) + c

1 = - 2.50 + c

1 + 2.50 = c

c = 3.50

Therefore, the equation becomes ; y = - 1.25x + 3.50

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Slope formula - y = mx + b

6x + 2y = 10

subtract x

2y = 10 - 6x

divide all by 2

y = 5 - 3x

y = -3x + 5

5 is the y-intercept, and -3x is the slope

hope this helps :)

2/3 - 2/5

= 10/15 - 6/15

= 4/15

Answer:

22c+36

Step-by-step explanation:

3+11(2c+3)

3+22c+33

3+33+22c

36+22c or 22c+26

Hey there!

In order to simplify this expression, all we have to do is distribute 11 by multiplying it times 2c and 3 and then combining like terms,

3+22c+33

As you can see, 3 and 33 are like terms; in order to simplify the expression, we should add them together.

36+22c

or

22c+36

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\rm{Emotional~Helper}[/tex]

Answer:

x=-5=(5,0)

Step-by-step explanation:

Answer:

X-intercept is five. The point is (5,0)

Step-by-step explanation:

X-intercept is when the line crosses the x-axis, ie when y is o. Sub zero in for y.

-x+y=-5

-x+0=-5

-x=-5

x=5

Answer:

[tex]\frac{32}{33}[/tex]

[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]

We have,

What to do?

Here's how to do?

Let the no. of weeks be x. Then,

Amount collected by savings = $40x

So, The equation will be:

➝ 125 + 40x = 600

Note:

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9) with x- coordinate - 6, thus

x = - 6 ← is the equation of the perpendicular line

Answer:

b

Step-by-step explanation:

i think

Answer:

12

Step-by-step explanation:

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b

.

Slope: 12

y-intercept: (0,−2)

Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards.  A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards.  The object of the game is to be the first to get rid of all the cards in your hand.

Preparation:  The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player.  Place the remaining cards in a pile (the draw pile) in the center of the table.  Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile.  (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.) 

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously. 

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile.  If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out.  At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves.  At the end of the game, the player with the most books is the winner.

Answer:

$0.33 per inch

Step-by-step explanation:

Divide cost by inch to get cost per inch.

Answer:

when you find out let me know pls. thanks.

have a great day and good luck

Step-by-step explanation:

Answer:

37.7 feet

Step-by-step explanation:

1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.

Answer:

the answer is option B no because -1/4 is to the right of -3/4

Step-by-step explanation:

Answer:

b

Step-by-step explanation: