Liam puts $50 in savings in March and 150% of this amount in savings in April.
How much does Liam put in savings in April?

Answer:

[tex]mnb^2 = ac(m+n)^2[/tex]

Step-by-step explanation:

Given

[tex]ax^2 +bx + c = 0[/tex]

Required

Condition that the roots is in m : n

Let the roots of the equation be represented as: mA and nA

A quadratic equation has the form:

[tex]x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0[/tex]

or

[tex]x^2 - (\frac{b}{a})x + \frac{c}{a} = 0[/tex]

We have the roots to be mA and nA.

So, the sum is represented as:

[tex]Sum = mA + nA[/tex]

[tex]Sum = A(m + n)[/tex]

And the product is represented as:

[tex]Product = mA * nA[/tex]

[tex]Product = mnA^2[/tex]

By comparing:

[tex]x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0[/tex]

with

[tex]x^2 - (\frac{b}{a})x + \frac{c}{a} = 0[/tex]

[tex]Sum = -\frac{b}{a}[/tex]

[tex]Product = \frac{c}{a}[/tex]

So, we have:

[tex]Sum = -\frac{b}{a}[/tex]

[tex]A(m + n) = -\frac{b}{a}[/tex]

Make A the subject:

[tex]A = \frac{-b}{a(m+n)}[/tex]

[tex]Product = \frac{c}{a}[/tex]

[tex]mnA^2 = \frac{c}{a}[/tex]

Substitute [tex]A = \frac{-b}{a(m+n)}[/tex]

[tex]mn(\frac{-b}{a(m+n)})^2 = \frac{c}{a}[/tex]

[tex]mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a}[/tex]

Multiply both sides by a

[tex]a * mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a} * a[/tex]

[tex]\frac{mnb^2}{a(m+n)^2} = c[/tex]

Cross Multiply:

[tex]mnb^2 = ac(m+n)^2[/tex]

Hence, the condition that the ratio is in m:n is

[tex]mnb^2 = ac(m+n)^2[/tex]

Answer:

i can't see the pic clearly

Step-by-step explanation:

Answer:

The complex number would be in the 4th quadrant.

Step-by-step explanation:

We know that a complex number is a number that can be expressed in the form of a + bi,

where

Given the complex number

10 - 13i

Here,

As the coefficient of the imaginary part holds a negative sign, and the real part holds a positive sign.

Thus, the complex number would be in the 4th quadrant.

Answer: 26.3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

try typing into ur calc. that is the answr u get!!

Hope this helps!! Pls mark me brainliest!!

Answer:

y= Ix-3I    (that says absolute value btw)

Step-by-step explanation:

This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.

We don't shift up or down since the vertex is on the x axis.

We also don't vertically compress or stretch the graph either.

Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.

M÷11 M/11

Step-by-step explanation:

when you find the quotient you divide so when you divide with a fraction you take what number you were given first and out it on top of the number you were given second

Answer:

Step-by-step explanation:

Well -8/-4 is 2 so that is the same

Answer:

17

steelers had 27

Step-by-step explanation:

Answer:

211 months

Step-by-step explanation:

Feliks joins a local recreation center to play basketball the reception charges $20 annual fee plus additional $15 per month for the usage of the basketball courts Feliks prepays by writing a check for 3185 for how many months did he prepays for

Let the number of months that he prepays for be represented by m

Hence, we have the equation

$20 + $15 × m = $3185

Hence:

20 + 15m = 3185

Collect like terms

15m = 3185 - 20

15m = 3165

m = 3165/15

m = 211 months

Answer:

42 minutes

Step-by-step explanation:

Answer:Son's age =2.5 years old

Step-by-step explanation:

Step 1

Let the  age of Kamla at marriage be represented as  x

Age after five  years = x+5

Given that today his  age is 1 1/4  times his age at marriage, Our equation to express his age  at marriage will be

x+ 5= (5/4)x

Multiplying 4 by both sides gives

4(x+5) = (5/4 x 4 )x

4x+20 = 5x

20=5x-4x

x= 20 years at Marriage

Therefore his present age = 20+5= 25

Step 2

Son' s age = 1/10 times his present age

Son's age = 1/10 x 25= 2.5 years old

Answer:

b

because he isnt fight nor wrong

Step-by-step explanation:

Answer:

x=6

y=-3/2

Hope this helps

Answer:

Lengths all the three sides are 9m, 18m and 12m

Step-by-step explanation:

Let us assume the length of the second side  to be x m

According to the question:

first side = 2x

third side = x + 3

Applying the formula of perimeter:

Perimeter = length + breadth + height

39 = 2x + x + (x + 3)

39 = 2x + x + x + 3

39 = 4x + 3

39 - 3 = 4x

4x = 36

x = [tex]\frac{36}{4}[/tex]

x = 9

length of the first side (x) = 9 m

length of the second side (2x) =2 × 9 =18 m

length of the third side (x + 3) = 9 + 3 = 12 m

∴ lengths all the three sides are 9m, 18m and 12m

Answer:

The selling price is $7

Step-by-step explanation:

Step one:

Given information

She paid $2.80 per shirt

She adds a  150% markup to the total price she paid for the shirts

Let us find 150% of $2.80

=150/100*2.8

=1.5*2.8

=$4.2

Hence the selling price is the markup price plus the cost price

=4.2+2.8

=$7

Answer:

Sources of electrical current

Step-by-step explanation:

Based on the information given the reason why

He/ She places a compass at different positions on a wall until the compass needle change to a direction was because the construction worker

was most likely using the compass to find the Sources of an ELECTRICAL CURRENT or where the ELECTRICAL CURRENT originated from reason been that ELECTRICAL CURRENT is the movement of electric charge from cathode to anode .

Answer:

D. Sources of electrical current

Step-by-step explanation:

I just took the test

Answer: A

Step-by-step explanation:

Answer:answer is the first one

Step-by-step explanation:

Collect like terms such as grouping the t and s variables together. The -3 should be included in the equation. Solution in pic below.

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

Answer:

its 7 i got it right on the test :)

Answer:

X=2y+1

X-1/2=y

Answer:

Extreme fitness: y=10x+50

Ultimate fitness:y=15x+30

Step-by-step explanation:

Answer:

6x - 6

Step-by-step explanation:

The only step necessary here is to simplify. We can subtract 18 from 12 since they are like terms.

6x - 6.

That's it! That's your final answer.

Answer: 10

Step-by-step explanation:

hope this helps!

Answer 2  2/19

there is you answer

Answer:

5

Step-by-step explanation:

Given :

A rectangular page is to contain 36 square inches of print.

The margins on each side are 1 inch.

To Find :

The dimensions of the page such that the least amount of paper is used.

Solution :

Let, length and breadth of paper are x and y respectively.

Area is given by :

Area = xy    ....1)

xy = 36 inch²

Now, it is given than the margins on each side is 1 inch.

So, area of paper is :

A = ( x + 2 )( y + 2 )

We want area to be minimum.

Putting value of x from 1 , we get :

A = ( 36/y + 2 )( y + 2 )

Now, differentiating above equation and equating with 0 :

[tex]3 - \dfrac{108}{y^2}=0\\\\y = \pm 6[/tex]

Now, we know dimension cannot be negative.

So, y = 6 and x = 6 .

Therefore, length and breadth are 6 and 6 inch respectively.

The length are breadth is x = 6 and y = 6 inch respectively.

Given;

Each rectangular page is to contain 36 square inches of print.

The margins on each side are 1 inch.

We have to find ;

The dimensions of the page such that the least amount of paper is used.

 Therefore,

Let, length and breadth of paper are x and y respectively.

Area is given by :

Area = xy    

xy = 36 inch²

Now, it is given than the margins on each side is 1 inch.

So, Area of paper is :  A = ( x + 2 )( y + 2 )

We want area to be minimum.

Putting value of x from 1 , we get :

A = ( [tex]\frac{36}{y}[/tex] + 2 )( y + 2 )

Now, Differentiating above equation and equating with 0 :

[tex]3 -\frac{108}{y^{2} } = 0[/tex]

[tex]\frac{3y^{2} - 108 }{y^{2} } = 0[/tex]

[tex]3y^{2} - 108 = 0 \\3y^{2} = 108\\y^{2} = \frac{108}{3} \\y^{2} = 36\\y = 6[/tex]

then;  xy = 36

        6x = 36

         x =[tex]\frac{36}{6}[/tex]  

         x = 6inches

Now, we know dimension cannot be negative.

So, y = 6 and x = 6 .

Therefore, length and breadth are 6 and 6 inch respectively.

For more information about the Area of dimension click the link given below.

https://brainly.in/question/12894735