Evaluate the expression when n= 3

Answer:

His money earned $36 after 3 months

Step-by-step explanation:

* Lets revise the rules of simple interest

- Simple Interest Equation (Principal + Interest)

 A = P(1 + rt)

- Where:

• A = Total amount (principal + interest)  future amount

• P = Principal Amount

• I = Interest Amount

• r = Rate of Interest per year in decimal; r = R/100

• t = Time Period involved  

* To calculate the interest I use the formula

  I = P × r × t

* Lets solve the problem

- The rate is annual

- The interest calculated after 3 months

∴ I = P × R/100 × t/12

∵ P = $3600.00

∵ R = 4%

∵ t = 3 month

∴ I = 3600.00 × 4/100 × 3/12 = $36

* His money earned $36 after 3 months

Answer:

1)[tex]cos(x)sin^{2}x[/tex]

2)0

Step-by-step explanation:

for part 1:

Given cos(x) - cos^3(x)

= cos(x) (1- cos^2(x))

Using the identity [tex]cos^{2}x +sin^{2}x=1\\ sin^{2}x=1-cos^{2}x[/tex]

= cos(x)sin^2(x)

for part 2:

given

=[tex]cos\frac{5\pi }{8}cos\frac{\pi }{8}  + sin\frac{5\pi }{8}sin\frac{\pi }{8}[/tex]

Using the identity cos(a)cos(b) + sin(a)sin(b)= cos(a-b)

=[tex]cos(\frac{5\pi }{8} -\frac{\pi }{8})[/tex]

=[tex]cos\frac{4\pi }{8}[/tex]

=[tex]cos\frac{\pi }{2}[/tex]

=0!

Answer:

A

Step-by-step explanation:

if you need one comment below

Answer: A. (12x3) x 60= 2160 pages per 60 minutes or 1 hour.

(12x3) solve first = 36 pages printed per minute by 3 printers.

36 pages per minute x times 60 minutes =

= 2160 pages, is how many pages 3 printer printing 12 pages a minute can print in 60 minutes or 1 hour.

Step-by-step explanation:

Answer:

The quadratic function x^2 -3x + 40 has roots x=8 and x= -5.

Step-by-step explanation:

If a polynomial has roots x=8 and x=-5, then we know that the factorized form is:

(x-8)(x+5)

So, to find the polynomial we need to expand the polynomials:

(x-8)(x+5) = (x^2 +5x - 8x + 40) = x^2 -3x + 40

Answer:

x² - 3x - 40 = 0

Step-by-step explanation:

The roots are x=8 and x= -5

The quadratic equation will be;

(x-8)(x+5) = 0

Therefore;

x² - 8x + 5x -40 = 0

x² - 3x - 40 = 0

Answer:

use foil method-first inside outside last

Step-by-step explanation:

Answer:

X = -10

Step-by-step explanation:

Adding negative ten and ten results in zero, and zero multiplied by anything is, of course, still zero.

(-10 + 10) * (-10 + 10) = 0

0 * 0 = 0

X=-10

Because (x+10)(x+10)=0

So it becomes (x+10)^2=0

And therefore x=-10

Answer:

7/12

Step-by-step explanation:

1 1/3 - 3/4

= 4/3 - 3/4

= 16/12 - 9/12

= 7/12

Answer:

[tex]1\frac{1}{3}-\frac{3}{4}=\frac{7}{12}[/tex]

change [tex]1\frac{1}{3}[/tex] into [tex]\frac{4}{3}[/tex]

[tex]=\frac{4}{3}-\frac{3}{4}[/tex]

get like denominators:

12

[tex]\frac{16}{12}-\frac{9}{12}[/tex]

16 - 9 = 7

Hope this helps and have a great day!!!

just open the bracket and do algebra. the answer should be C

The house is 10 units far from the base of the ladder?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that

length of ladder = 26 feet

And height of house = 24 feet

According to given scenario it will form a right angled triangle.

In which the length of ladder is hypotenuse

Height of house be perpendicular

And base we have to calculate.

We know that the Pythagoras theorem for a right angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Now plug the values

(26)²= (24)² + (Base)²

(26)²= (24)² + (Base)²

676  =  576 + (Base)²

(Base)² = 100

  Base = 10 units

Thus, the base is of 10 units.

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Answer:

6/8

Step-by-step explanation:

Formula

Tan(A) = side opposite / side adjacent

Givens

side opposite = 6

side adjacent = 8

Tan(A) = 6/8

Answer:

6/8

Step-by-step explanation:

tan A = opp / adj = 6 / 8 = 3/4.  This corresponds to the last answer choice.

2x+4= 3x-6+2

2x+4=3x-4

2x-3x+4=3x-3x-4

-x+4=-4

-x+4-4= -4-4

-x=-8

Need to multiply by -1 for x to be positive and also for -8

-1(-x)= -1(-8)

x=8

Answer:

Step-by-step explanation:

2x+4=3(x-2)

2x+4=3x-6

+6 -2x

10 = 1x

1 = 1x

10= x

There are 720 different 6-letter arrangements that can be formed using the letters in the word QUASAR, calculated by 6 factorial (6!).

The question asks for the total number of different 6-letter arrangements that can be formed using the letters in the word QUASAR. This is a problem of permutations where all the letters are distinct. To find the number of different permutations of the letters in QUASAR, we multiply the number of choices available at each position. There are 6 choices for the first letter, 5 for the second, and so on, until 1 choice for the last letter.

Therefore, the permutations are calculated as 6 × 5 × 4 × 3 × 2 × 1, which is equal to 6! (6 factorial).

The calculation of 6! is as follows:

So, there are 720 different 6-letter arrangements that can be formed from the word QUASAR.

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Answer:

19 units

Step-by-step explanation:

There are two sides that are equal; they are 4 units long.

The unequal sides are 7 and 4 in length.

Add up these four sides to obtain the perimeter:

P = 4 + 4 + 4 + 7 = 19 units

The perimeter of a figure is the distance around the figure.

To find the perimeter of the trapezoid shown, we can simply add the sides. Each square represents 1 unit.

Once we count each square that has a line through it, we will get

7 + 4 + 4 + 4 = 19

Therefore, the perimeter of the trapezoid is 19 units.

Answer:

25%

Step-by-step explanation:

% increase = (3.50 - 2.80)/(2.80) x 100

= 25% increase

The required percent increase of the price of a bag of bagels from $2.80 to $3.50 is 25%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To find the percent increase of the price of a bag of bagels, we can use the formula,

percent increase = [(new value - old value) / old value] x 100%

In this case, the old value is $2.80 and the new value is $3.50. Substituting these values into the formula, we get:

percent increase = [(3.50 - 2.80) / 2.80] x 100%

percent increase = (0.70 / 2.80) x 100%

percent increase = 0.25 x 100%

percent increase = 25%

Therefore, the percent increase in the price of a bag of bagels from $2.80 to $3.50 is 25%.

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Answer:

C

Step-by-step explanation:

plato gang

Answer:

B

Step-by-step explanation:

The range of the function are the corresponding values of y for the given points

x = 1,3 → y = 5

x = 4 → y = 2

x = 6 → y = - 2

The range of the graphed function is { - 2, 2, 5 } → B

Okay so if the regular price of the shirt is 100% as $25 and you have a 30% discount you are still paying 70% (100-30=70) so 70% as a decimal is .70 and $25 x .70 is $17.50. Therefore the shirt is $17.50 after the discount.

Alright so, what it’s basically asking for is 70% of 25. This is the price of the shirt after you’ve accounted for the 30% discount

Then you would multiply 25 by .70, giving you $17.50

Hope this helps!

Answer:

B

Step-by-step explanation:

This is the Georiga Mile STONE?????????????

Volume of a sphere:

(4/3)(pi)r^3

.

radius (r) is half the diameter or 8 inches.

(4/3)(3.14)8^3

2144 cubic inches

The volume of the sphere would be 2144 cubic inches

A sphere is a three-dimensional shape analouge of a circle.

The Volume of a sphere = 4/3πr^3

We are given that the diameter of the sphere as 16 cm.

Since radius (r) is half the diameter or 8 inches.

Volume of a sphere:

= 4/3πr^3

= (4/3)(3.14)8^3

2144 cubic inches

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After 3 seconds and at 60 feet, the bolt hit the elevator if the height in feet after t second is given by the formula h(t)=20t.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

When the bolt hit the elevator, they would be at the same height.

∴ 16t²+200 = 20t

16t² -20t + 200 = 0

It is a quadratic equation:

a = 16, b = -20, and c = 200 plug this values in the formula.

After calculating, we will get:

t = -4.2 or t = 3

Time cannot be negative.

So t = 3 seconds

And height h(3) = 20(3) = 60 feet

Thus, after 3 seconds and at 60 feet, the bolt hit the elevator if the height in feet after t second is given by the formula h(t)=20t.

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Answer:

50 tickts

Step-by-step explanation:

We want to spread 1,000 tickets equally over 20 concerts. This calls for division

1000/20=50

50 tickets are sold each concert

ANSWER

3 must be factored from 3x² +9x

EXPLANATION

The given function is

[tex]y = 3 {x}^{2} + 9x - 18[/tex]

To write the given function in vertex form, we need to complete the square.

But before we come complete the square, we must ensure that the coefficient of the quadratic term is unity.

Hence we factor 3 from 3x² +9x to obtain:

[tex]y = 3( {x}^{2} + 3x) - 18[/tex]

The first choice is correct.

The first step to rewrite the equation y=3x^2 + 9x - 18 in the form y=a(x-h)^2 + k is to complete the square.

The first step to rewrite the equation y=3x^2 + 9x - 18 in the form y=a(x-h)^2 + k is to complete the square. To do this, we need to factor out a from the quadratic term:

y=3(x^2 + 3x) - 18

Next, we take half of the coefficient of x (which is 3) and square it to find h:

h = (3/2)^2 = 9/4

Now, we add this value inside the parentheses and subtract it outside:

y=3(x^2 + 3x + 9/4) - 18 - 9/4

Simplifying further, we get:

y=3(x + 3/2)^2 - 81/4

So, the equation y=3x^2 + 9x - 18 can be rewritten in the form y=a(x-h)^2 + k as y=3(x + 3/2)^2 - 81/4.

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Answer:

4=2/3 . 7/9=14/21

4/5.  /5/6=20/30=2/5

Step-by-step explanation:

Answer:

There are infinitely many solutions.  It is the same line.

Step-by-step explanation:

If you start by multiplying the first equation by 2 to get rid of the fractions, you get -x + y = -2.  If you solve it for y, you get y = x - 2.  The second equation can be solved for y also, giving you y = x - 2.  That means they are the same line and the solution to this situation is infinitely many solutions because all the points on one line are identical to the points on the other line because they are the same line.

The area of a right triangle with legs of 10in and 24in is 120 square inches, calculated using the formula Area = 0.5 * base * height.

The area of a right triangle can be calculated using the formula:

Area = 0.5 * base * height

In this case, the base and height can be taken as the two legs of the right triangle. Given the lengths of the legs as 10in and 24in, the area can be calculated as:

Area = 0.5 * 10in * 24in = 120 square inches

Answer:

10 uniforms

Step-by-step explanation:

You will start by subtracting 250 from 550 to get 300. You will then divide 300 by 28 to get the total number of uniforms. You will get the answer 10.7, but because we are dealing with uniforms, we will remove the decimal and just use 10.

Answer:

I believe the answer would be C.

Step-by-step explanation:

First, simply look at the roots of each answer choice. A rational number is any number that can be written as a fraction.

In the first option choice [A.], the square root of 8 is 2.8284.... a long decimal that continues for a whi;e. So, it can't be written as a fraction.

In the second option choice [B.], the square root of 24 is 4.8989.... another long decimal that continues for a while. So, it can't be written as a fraction.

In the third option choice [C.], the square root of 81 is 9. 9 can be written as a fraction [for example 27/3] So it's the correct answer.

In the last option choice [D.], the square root of 2 is 1.4142.... another long decimal that continues for a while. So, it can't be written as a fraction.

This is why C. is the right answer! I hope this helps!!!

C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.

Hope this helps!

Answer:

C) Multiply 3x by 6 in the first equation and subtract the second equation.

Step-by-step explanation:

We have been given a system of equations.[tex]3x+3y = 4[/tex] and [tex]18x-9y = 12[/tex]. We are asked to choose the "incorrect" step that will make "not" produce a system with the same solution.

Let us see our give choices one by one.

A) multiply the first equation by 6 and subtract the second equation.

When we will multiply 1st equation by 6, the coefficient of x would be 18. When we will subtract 2nd equation the both x's will cancel out. Therefore, option A is correct.

B) multiply the first equation by −6 and add the second equation.

When we will multiply 1st equation by -6, the coefficient of x would be -18. When we will add 1st equation to 2nd equation the both x's will cancel out. Therefore, option B is correct as well.

C) Multiply 3x by 6 in the first equation and subtract the second equation.

We need to remember that we cannot multiply only one term of equation by some quantity as it will make the whole equation false, therefore, option C is incorrect.

39. each term is ten more than the term before it :)

Answer:

39, 49, 59

Step-by-step explanation:

Note the difference between consecutive terms

9 - (- 1) = 9 + 1 = 10

19 - 9 = 10

29 - 9 = 10

The difference is a constant + 10

To obtain the next term in the sequence add 10 to the previous term

29 + 10 = 39

39 + 10 = 49

49 + 10 = 59

The next 3 terms are 39, 49, 59

Answer:

%88 i believe

Step-by-step explanation:

hope this helps!

Answer: $43786.22 (Round)

Step-by-step explanation: Use this formula: A= P(1+r/n)^nt

We are trying to find A in this problem.

Plug it in:

A= 19,000(1+0.11/1)^(1)(8)

Answer:

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm[/tex]

Substitute:

[tex]x^2+20.2^2=(14.7+x)^2[/tex]           use (a + b)² = a² + 2ab + b²

[tex]x^2+408.04=14.7^2+(2)(14.7)(x)+x^2[/tex]          subtract x² from both sides

[tex]408.04=216.09+29.4x[/tex]        subtract 216.09 from both sides

[tex]191.95=29.4x[/tex]         divide both sides by 29.4

[tex]x\approx6.5\ cm[/tex]

41 there are 12 numbers take middle

Hi

The answer is 41

11 18 23 32 33 =41= 54 56 58 67 70

Answer:

42

Step-by-step explanation:

23+18+67+32+54+41+70+11+56+33+41+58=504

(There's 12 sets of numbers)

504/12=42