You borrow $5000 from the bank at %3 annual interest compounded monthly. The monthly payment is $250z What is the balance after the third payment.

Answer:

Step-by-step explanation:

[tex]\frac{6}{\sqrt{2} - \sqrt{3} } * \frac{\sqrt{2} + \sqrt{3} }{\sqrt{2} + \sqrt{3} }[/tex]

[tex]\frac{6\sqrt{2} + 6\sqrt{3} }{2-3}[/tex]

[tex]-6(\sqrt{2} + \sqrt{3} )[/tex]

The fraction after rationalizing the denominator is given by the equation

A = -6 ( √2 + √3 )

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the value of A is

A = 6 / ( √2 - √ 3 )   be equation (1)

Now , on simplifying the equation , we get

To rationalize the denominator of the fraction ,

Multiply the denominator by its conjugate ,

So , the conjugate of ( √2 - √ 3 ) = ( √2 + √ 3 )

Multiplying the numerator and denominator of the fraction by ( √2 + √ 3 )

A x ( √2 + √ 3 ) / ( √2 + √ 3 )

Substituting the values in the equation , we get

[ 6 / ( √2 - √ 3 ) ] x ( √2 + √ 3 ) / ( √2 + √ 3 )

On simplifying the equation , we get

6 ( √2 + √ 3 ) / ( 2² - 3² )

So , the value of A is A = 6 ( √2 + √ 3 ) / ( -1 )

A = -6 ( √2 + √ 3 )

Therefore , the value of A is A = -6 ( √2 + √ 3 )

Hence , the equation A = -6 ( √2 + √ 3 )

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Answer:

100(2)^h =6,400

Step-by-step explanation:

For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)

Area of the circle = πr²

                             = π(5)²

                             = 25π cm²

Area of ΔOAB = 2(Area of ΔOCB)

AB = 6 cm

OC = 5 - 1 = 4 cm

By applying Pythagoras theorem in ΔOCB,

OB² = OC² + BC²

5² = 4² + BC²

BC² = 25 - 16

BC = √9 = 3 cm

Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]

                        = [tex]\frac{1}{2}(4)(3)[/tex]

                        = 6 cm²

Area of ΔAOB = 2(6) = 12 cm²

Area of ΔAOB = Area of ΔDOE = 12 cm²

Area of shaded region = 25π - (12 + 12)

                                      = (25π - 24) cm²

Therefore, Option (3) will be the answer.

Answer:

h

Step-by-step explanation:

Answer:

i wanna say 12 but i am not sure!!!!!!!!!

Step-by-step explanation:

Answer:

Area =  201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Step-by-step explanation:

First convert the mixed numbers into improper fractions or even decimal form  so it is easier to operate with them:

Base = 11  1/2 yards = 23/2 yards = 11.5 yards

Height = 17 1/2 yards =  35/2 yards = 17.5 yards

Use the formula for the area of a parallelogram:

Area = Base x Height

which in our case give:

Area = 23/2 x 35/2 = 805/4 yard^2 = 201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

[tex]Mercury = 3.302 * 10^{23[/tex]

[tex]Saturn = 5.685 * 10^{26[/tex]

Sam:

[tex]Mercury = 3.302 * 10^{29[/tex]

[tex]Saturn = 5.685 * 10^{32[/tex]

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

[tex]Times = \frac{Saturn}{Mercury}[/tex]

Using Sara's measurement; this gives:

[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]

Apply law of indices

[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]

[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]

[tex]Times = 5.685/3.302 * 10^3[/tex]

[tex]Times = 1.72 * 10^3[/tex]

Approximate

[tex]Times = 2 * 10^3[/tex]

[tex]Times = 2000[/tex]

Answer:

91

Step-by-step explanation:

2p+18=200

subtract 18 on both sides

2p=182

Divide 2 on each side

p=91

Answer:

p=91

Step-by-step explanation:

2p+18=200

p+9=100 (Divide both sides by 2)

p=91 (Subtract 9 from both sides)

Answer:

364.08 Feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

the yard will have the area is A= L*W

A=24.6*14.8=364.08 ft^2

Answer: 220:4 or 220 to 4

Step-by-step explanation:

Answer:220:4

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

16/1 -3/1 = 16-3

= 13answer is unknow no.

Answer:

Either C or D

Step-by-step explanation:

Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.

Answer:

The fourth option

Step-by-step explanation:

It reflexs accros the x axis which is horizontal

Answer:

Step-by-step explanation:

Answer:

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Step-by-step explanation:

Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).

In this question, we have:

[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]

Shifting 1 unit to the left:

[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]

[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]

[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]

[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

The domain is the set of all x-coordinates and

the range is the set of all y-coordinates.

So the domain for this relation is {0, 1, 2, 3, 4}

and the range is {0, -1, -4, -9, -16}.

Now, I graph these points below.

For the relation tobe a function, it must pass the vertical line test.

If we can draw a vertical line that passes through only one point

anywhere on the graph, the relation is a function.

Notice that if you were to draw a vertical line,

no line would intersect two points on the same line.

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]

[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]

⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]

⤑ [tex] \sf{ \sqrt{36}} [/tex]

⤑ [tex] \boxed{ \sf{6\: units}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

234

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

The second option is the answer

Answer: 63

Step-by-step explanation:

Add the two numbers you have then subtract from 180 because a triangle is 180 degrees

Answer:

x is 90

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

if it’s wrong i’ll change it when i’m done with this quiz

Answer:

A

Step-by-step explanation:

- 8 × - 3 = 24 ÷4=6

this is the right answer

Answer:

Step-by-step explanation:

Given:

LP = 27

LM = NP

MN = 3

16). LP = LM + MN + NP

      27 = LM + 3 + LM

      27 = 3 + 2(LM)

      LM = 12

17). Since, LM = NP

      NP = 12

18). Since, MP = MN + NP

     MP = 3 + 12

     MP = 15

19). NL = LM + MN

     NL = 12 + 3

     NL = 15

Answer:

4 is the correct answer

Step-by-step explanation:

y=(x+5)(x-3)

so x intercept means the value of x when y is zero

0=(x+5)(x-3)

x+5=0 so x=-5

x-3=0 so x=3