Leo invests $2,000 at an interest rate of 4%, compounded quarterly.
How much is the investment worth at the end of 3 years?

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ( multiply numerator/ denominator by 2 )

= [tex]\frac{4}{6}[/tex]

360 is the lcm of 36 72 and 90

[tex]\longrightarrow[/tex] This problem can be tackled by using distributive property of multiplication .

It states for any three numbers a,b and c

[tex]\green{ \underline { \boxed{ \sf{(a±b)\times c = a \times c±b\times c}}}}[/tex]

Similarly,

[tex]\quad[/tex]23 × 45

[tex]\longrightarrow[/tex](21+2) ×45

[tex]\longrightarrow[/tex]21×45+2×45

[tex]\longrightarrow[/tex]945 + 90

[tex]\longrightarrow[/tex] 1035

It can also be done as-

[tex]\quad[/tex]23 × 45

[tex]\longrightarrow[/tex](25-2) ×45

[tex]\longrightarrow[/tex]25×45-2×45

[tex]\longrightarrow[/tex]1125-90

[tex]\longrightarrow[/tex] 1035

Answer:

Square root of 169 is 13.

Step-by-step explanation:

13*13=169

Answer:

40  7/10 is larger

Step-by-step explanation:

Answer:

7/10 of 40.

Step-by-step explanation:

It would be 7/10 of 40 because do you know what they equal because I bet If I Said what they equal it would be easier for you.

7/10 or 70% of 40=28

And for 2/3 or 66.67 of 36=24 so 28 is a bigger number than 24 so 7/10 of 40 is bigger.

hope this helps have a great day:)

Answer:

[tex]\left(2x-3\right)^2[/tex]

Step-by-step explanation:

[tex]4x^2-12x+9[/tex]

[tex]\mathrm{Rewrite\:in\:the\:form\:of}\:a^2+2ab+b^2:[/tex]

[tex]4x^2=(2x)^2[/tex]

[tex]9=3^2[/tex]

[tex]-12x=-2\cdot 2x\cdot 3[/tex]

[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \:a^2-2ab+b^2=\left(a-b\right)^2[/tex]

[tex]\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2=\left(2x-3\right)^2[/tex]

[tex]=\left(2x-3\right)^2[/tex]

~Learn with Lenvy~

[tex]\\ \rm\Rrightarrow 4x^2-12x+9[/tex]

[tex]\\ \rm\Rrightarrow (2x)^2-2(2x)(3)+3^2[/tex]

So

[tex]\\ \rm\Rrightarrow (2x-3)^2[/tex]

[tex]\\ \rm\Rrightarrow (2x-3)(2x-3)[/tex]

Answer:

17 rows

Step-by-step explanation:

We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.

Since we are given the total number of spaces of 408. We let f(x) = 408

2x² - 10x = 408

Now we solve as a quadratic, subtract 408 to both sides

2x² - 10x - 408 = 0

Divide 2 on both sides

x² - 5x - 204 = 0

We look for terms that multiply to -204 and add to -5.

Those terms are -17 and 12

x² - 17x + 12x - 204 = 0

x(x-17) + 12(x-17)

(x+12)(x-17)

x = -12 x = 17

We can not have -12 rows but we can have 17 rows.

17 rows is the answer.

Answer:

58

Step-by-step explanation:

Angle D is an inscribed angle that intercepts arc ZBC, so the measure of angle D is half the measure of arc ZBC.

m<D = (1/2)[m(arc)ZBC]

10x + 16 = (1/2)(7x - 5 + 154)

20x + 32 = 7x + 149

13x = 117

x = 9

m(arc)BZ = 7x - 5 = 7(9) - 5 = 63 - 5 = 58

Definition of X-intercept: a point where the y-value of the point is equal to 0

  [tex]5x - y = 10\\5x - 0 = 10\\5x = 10\\x = 2[/tex]

Therefore the x-intercept is (2,0).

Definition of Y-intercept: a point where the x-value of the point is equal to 0

 [tex]5x - y = 10\\5(0)-y = 10\\-y = 10\\y = -10[/tex]

Therefore the y-intercept is (0,-10).

Hope that helps!

The value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.

When a function is written inside the another function, then such function is called the composite function.

The first function given in the problem is,

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

The second function given,

[tex]g(x) = - 6x - 8[/tex]

To find out the value of g(2), put the 2 on place of variable x in the above equation as,

[tex]g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20[/tex]

The composite function f(g(x)) can be given as,

[tex]f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418[/tex]

Thus, the value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.

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Answer:

78 + b

Step-by-step explanation:

he had 78 and he added the unknown amount or b

pls mark brainliest

Answer:

$1.40

Step-by-step explanation:

you just divide 25.20 by 18 (6 friends x 3 items) and thats it

Answer:

its the 3rd one :

Step-by-step explanation:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation

this is because the equation is y^1 - y^2 / x^1 - x^2

brainiest

Answer:

61

Step-by-step explanation:

We see that the triangle is isosceles as the two sides of it are 6.

In an isosceles triangle, you have two sides that are the same and two angles that are the same.

The two congruent angles will be opposite to the congruent sides.

So, we know that both angles must be x.

The Angles of a triangle add up to 180 degrees.

2x + 58 = 180

2x = 122

x = 61 ddegrees

Solution:

We know that:

We can see that the two lines of the triangle are equivalent.

This means that:

Equation created: 58 + x + x = 180

Simplify the LHS.

Subtract 58 both sides.

Divide 2 both sides.

Answer:

3 packages

Step-by-step explanation:

350+350=700

700+350=1100

1000 grams = 1 kilogram

Answer:

the answer is 3 pg and 1 kg

Step-by-step explanation:

[tex]Hello[/tex] [tex]There![/tex]

I'll be helping your question today!

Let's do this step-by-step explanation!

[tex]9x^2-81[/tex]

Factor out common term 9: [tex]9(x^2-9)[/tex]

[tex]=9(x^2-9)[/tex]

Factor:[tex]x^2-9:(x+3)(x-3)[/tex]

[tex]=9(x+3)(x-3)[/tex]

Answer:

[tex]9(x+3)(x-3)[/tex]

The real answer is:

[tex]3x-3[/tex]

Hopefully, this helps you!!

#LearnWithBrainlyAlways~

[tex]SokkaBanned[/tex]

The factorization of [tex]9x^2 - 81[/tex] is given 9(x-3)(x+3). Therefore, (c) is the correct option.

Factorization is the method of simplification of algebraic expressions which contains variables and constants into form that can not be divided into further factors.

To factorize, we first check if any variable or constant can be taken common. Next we check for algebraic identities.

Given in the question,

[tex]= 9x^2 - 81\\\\= 9(x^2 - 9)\\\\=9(x^2-3^2)\\\\=9(x-3)(x+3)[/tex]

identity used : [tex](a^2-b^2) = (a-b)(a+b)[/tex]

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Answer:

C. 19.5

Step-by-step explanation:

Answer:

(1) y≥-3x + 4

Answer:

ASWER ( 1 )

Step-by-step explanation:

[tex]y\geq -3x+4[/tex]

HOPE THAT HELP'S !

Answer:

coin=50%

dice=16.67%

Step-by-step explanation:

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that a Rectangle has the Length as 15 cm and it's Breadth is given 20 cm . And, we have been asked to calculate the Area of Rectangle .

For calculating the Area of Rectangle , we will use the Formula :-

[tex] \bigstar \: \: \boxed {\sf {Area \: of \: Rectangle = Length \times Breadth}} [/tex]

Therefore , by Substituting the given values in the above Formula :-

⇒ Area of Rectangle = Length × Breadth

⇒ Area of Rectangle = 20 × 15

⇒ [tex] \textbf {\textsf {Area of Rectangle = 300 cm²}} [/tex]

[tex] \underline {\rule {180pt} {4pt}} [/tex]

The area of the given rectangle.

[tex]area = length \times width[/tex]

[tex]a = 15 \times 20[/tex]

[tex]a = 300 \: {cm}^{2} [/tex]

Therefore, the area of the given rectangle is 300 square centimeters.

The greatest increase occurred in week 4 and 5, as there was an increase of 6

we have given that,Week 1, 8; Week 2, 11; Week 3, 10; Week 4, 14; Week 5, 20; Week 6, 24; Week 7, 21; Week 8, 22; week 9, 18; Week 10, 18; Week 11, 16.

Formula for difference is,

[tex]difference =week 1-week 2[/tex]

Therefore by using formula we get,

Week 1 and 2

Week 1: 8

Week 2: 11

11-8=3

Week 4 and 5

Week 4: 14

Week 5: 20

20-14=6

Week 5 and 6

Week 5: 20

Week 6: 24

24-20=4

Week 8 and 9

Week 8: 22

Week 9: 18

22-19=4

Therefore,the greatest increase occurred in week 4 and 5, as there was an increase of 6

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Answer:

5/6

Step-by-step explanation:

1/3 x 1/5 = 8/15 then add to 3/10 and you get 5/6 simplifed

The sum of 1/3, 1/5, and 3/10 is 5/6.

Based on the given conditions, formulate 1/3 + 1/5 +3/10

To estimate the common denominator and note the numerators above the common denominator, then we get

10 + 6 + 9/30

Calculate the sum or difference in the above equation, we get

10 + 6 + 9/30 = 25/30

Decrease the fraction to the lower term by canceling the greatest common factor, we get

25/30 = 5/6

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Answer(s):

[tex]\displaystyle y = 100sin\:(\frac{\pi}{50}x + \frac{\pi}{2}) + 100 \\ y = 100cos\:\frac{\pi}{50}x + 100[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 100 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-25} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{50}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{100} \hookrightarrow \frac{2}{\frac{\pi}{50}}\pi \\ Amplitude \hookrightarrow 100[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 100 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{100} \hookrightarrow \frac{2}{\frac{\pi}{50}}\pi \\ Amplitude \hookrightarrow 100[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then by all means, go for it, but be careful and follow what is explained here. Now, as you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 100sin\:\frac{\pi}{50}x + 100,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 25\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle 25\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-25} = \frac{-\frac{\pi}{2}}{\frac{\pi}{50}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 100sin\:(\frac{\pi}{50}x + \frac{\pi}{2}) + 100.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [220, 100],[/tex]from there to [tex]\displaystyle [120, 100],[/tex]they are obviously [tex]\displaystyle 100\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 100.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 100,[/tex]in which each crest is extended one hundred units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**I knew exactly what you were talking about the moment you posted this, so here was what you were looking for. It really does not matter which sinusoid and person you select because you will get the same information either way.

I am delighted to assist you at any time.

The graph of cosine function is to model the ride of your chosen rider.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Let us assume that,

Function is,

f(x) = sin(x)

The curve of the sine function crosses the y-axis at the origin, heads up to y = 1 at x = π/2 and down to y = -1 at x = 3π/2.

Domain: (-∞, ∞)

Range: [-1, 1]

For f(x) = cos(x)

The curve of the cosine function crosses the y-axis at (0, 1) which is its maximum, heads down to y = -1 at x = π then heads up again.

Domain: (-∞, ∞)

Range: [-1, 1]

Given information:

Antoine and Adriane begin their journey at the top of the Ferris wheel.

After one revolution, they will again be at the top of the wheel.

If the wheel starts when time t = 0 seconds, and they begin their journey at the top of the wheel (the maximum point), the most appropriate graph to model their ride is the graph of the cosine function since it is at its highest point when x = 0.

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Answer:

Supplementary to x is a 90° angle (right angle) which means that both x and the right angle will have to equal 180 degrees:

90 + x = 180

-90        -90

x = 90°

Let's find the angle measure that is supplementary to y.

A 5 sided shape is equal to 540 degrees (you could find this by using the formula: (n - 2) x 180 where n is the number of sides)

so given interior angles:

90 + 80 + 98(supplementary to angle 82 degrees) + 136 + 136(two equal angle measures in the polygon that are missing)

= 540(which is correct), so now we know the two missing angles, 136, besides the angle supplementary to 82 degrees.

136 is supplementary to y so:

136 + y = 180

-136       -136

y = 44°

Answer:

5/4 ounces.

Step-by-step explanation:

There are 4 marks. So 1/4 is the smallest one. There are 5 of them. 5x1/4 is 5/4 or 1 1/4

[tex]\tt \dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}+1+\dfrac{5}{4}=\dfrac{15}{4}[/tex]

ANSWER

x+y)^2=x^2+y^2+2xy -eq1

because

first we will take the LHS of eq1, i.e,

(x+y)^2

(x+y)(x+y)

x(x+y)+y(x+y)

x^2+xy+xy+y^2

x^2+2xy+y^2

Or

x^2+2xy+y^2

Hence, LHS=RHS

answer

11x = 480

i dont know