Find the principal amount invested if the amount in a quarterly compounded account with a 3.07% interest rate is $5,993.79 after 66 months

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Answer: The answer is c

Explanation:

Complete Question:

g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].

Write the equation for g (x ) with the following transformations:

Reflect over y-axis, and shift right 7

Answer:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Step-by-step explanation:

Given

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

Represent the function as:

[tex]f(x) = (\frac{1}{2})^x[/tex]

Taking the transformations, one after the other:

Reflect over the y-axis.

This is represented by the rule: (x,y) ==> (-x,y)

So, we have:

[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]

Shift right 7 units

This is represented by (x,y) = (x - b, y)

Where b represents the number of units

So, we have:

[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]

Hence:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Answer:

n >= 1

Step-by-step explanation:

2(7n - 1) >= 3(5 - n)

use the distributive property

14n - 2 >= 15 - 3n

     +2       +2      

14n >= 17 - 3n

+3n          +3n

17n >= 17

n >= 1

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Step-by-step explanation:

[tex]2(7n - 1) \geqslant 3(5 - n) \\ 14n - 2 \geqslant 15 - 3n \\ 14n + 3n \geqslant 17 \\ 17n \geqslant 17 \\ n \geqslant 1 \\ thank \: you[/tex]

Answer:

YOu  are cooooooooooooooooooooooooooooooool

Step-by-step explanation:

Answer:

1/8 is bigger sike

Step-by-step explanation:

Answer:

When x=2

Step-by-step explanation:

Well in the first one it tells you that 2x is 90.

In the second it's y=40x+10

So you plug 2 in as the x.

y=40(2)+10

y=80+10

y=90

Hope this helps

Answer:

Step-by-step explanation:

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

-

Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Answer:

64*x^-6

Step-by-step explanation:

Simplify Using Laws of Exponent (4x^-2)^3

Given data

(4x^-2)^3

Let us open the bracket

=4^3*x^-2*3

=64*x^-6

=64x^-6

Hence the equivalent is

64*x^-6

Answer:

Try C it probably is your answer

Answer:

7 melons

Step-by-step explanation:

So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.

Answer:

18t-72

Step-by-step explanation:

Answer:

22,000

Step-by-step explanation:

c=2πr

2(3.14)3500

Given:

44 cu. cm of wire is drawn into a wire of diameter 2 mm.

To find:

The length of the wire.

Solution:

We know that,

1 cm = 10 mm

1 cu. cm = 1000 cu. mm

We have, a wire of cylindrical shape.

Volume of the wire = 44 cu. cm

                                = 44000 cu. mm

Radius of the wire = 2 mm

Volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height.

Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get

[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]

[tex]44000\times \dfrac{7}{22}=4h[/tex]

[tex]14000=4h[/tex]

Divide both sides by 4.

[tex]\dfrac{14000}{4}=h[/tex]

[tex]3500=h[/tex]

Therefore, the length of the wire is 3500 mm or 350 cm.

Answer:

5b

Step-by-step explanation:

Answer:

what sign is between 4b and 5b

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Answer:

x = 7 cm

Step-by-step explanation:

12x9 + 3x = 129

108 + 3x = 129

3x = 21

x = 7 cm

The value of x will be;

⇒ x = 2.3 cm

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The shape has area 129 cm².

Now,

Since, The shape has area 129 cm².

And, The Length of the large rectangle = (12 + x) cm

And, The width of the rectangle = 9 cm

We know that;

The area of rectangle = Length × Width

⇒ 129 = (12 + x) × 9

⇒ 129/9 = 12 + x

⇒ 14.3 = 12 + x

⇒ x = 14.3 - 12

⇒ x = 2.3 cm

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Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

2(x+10)=60

x+10=60/2

x=30-10=20

Answer:

y=15

Step-by-step explanation:

Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15

The value of x is 26.4 unit and y is 15 units,

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.

So, 22/ 10 = 33/ y

22y = 330

y = 330/22

y = 15

and, 22/10 = x/ 12

264 = 10 x

x= 26.4

Hence, the value of x is 26.4 unit and y is 15 units,

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Answer:

I dont know what sin is

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Answer:

She will save $14.

Step-by-step explanation:

Because the dress is 35% off, the savings value will be 40*0.35. That will give you a savings total of 14 dollars.  

Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

To calculate the weekly deposit, we need to divide the total savings by the number of weeks:

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42

Answer:

B is the answer.

Step-by-step explanation:

took test. 100% sure.

Answer:

Step-by-step explanation:

bbbbbbbbbbbbb

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

mXY

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps