Please help me with this question

The interest amount is $622.85

The given parameters are:

The interest amount is calculated as:

I = P(1 + r/n)^(nt) - P

This gives

I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000

Evaluate the products and the quotient

I = 1000 * (1 + 0.045)^(11) - 1000

Evaluate the sum

I = 1000 * (1.045)^(11) - 1000

Solve

I = 622.85

Hence, the interest amount is $622.85

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The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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=[2\(x^{2}\)-y][3a-4b] This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

Rearrange the expression

6a\(x^{2}\) -8bx² -3ay +4by

2\(x^{2}\)[3a-4b] - y[3a-4b]

=[2\(x^{2}\)-y][3a-4b]

This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

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Answer:

\(\frac{3}{20} = 0.15\)

\(\frac{23}{25} = 0.92\)

used math-way

The differential coefficient of function sin²(cos6x) ​ is -6sin 2(cos 6x)(sin 6x ).

What is function?

A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input.

What is differential coefficient?

Differential coefficient of a function y = f(x) at x = a is f’(a).

Given

y = sin²(cos6x)

differentiate it with respect to x,

dy/dx = d/dx(sin²(cos6x)

= 2sin(cos 6x)d/dx (sin(cos6x)

= 2sin (cos 6x)(cos(cos6x) d/dx (cos 6x)

= sin 2(cos6x)(-sin 6x)d/dx(6x)

= -6 sin 2(cos6x)(sin6x)

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Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

The total length needed in inches will be 490.5 inches.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

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Answer:

30%

Step-by-step explanation:

12/40 = 0.3

0.3 * 100 = 30%

So, 30% of students picked pizza.

Let's take a look at the situation:

This way,

Solving for y,

Thereby, it would reach 8.5 ft up the wall.

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Solution:

Given the equation below

Where

If the input value is 4.5, i.e. x = 4.5, the output value will be

Hence, the output value is 9.5

Answer:

$29.77

Step-by-step explanation:

First, divide 429 by 33 to find how many gallons that she's paying for, then multiply that by $2.29 to find the answer.

The cost for Carmen to drive 429 miles is $29.77.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Given that,

Distance car travels per gallon = 33 miles per gallon

Cost of gasoline per gallon = $2.29 per gallon.

33 miles can be travelled with 1 gallon of gasoline.

1 mile can be travelled with 1/33 gallon of gasoline.

429 miles can be travelled with 429/33 = 13 gallon of gasoline.

Amount of gasoline needed for 429 miles = 13 gallon.

Cost of gasoline for 1 gallon = $2.29

Cost of gasoline for 13 gallon = 13 × $2.29 = $29.77

Hence it will cost $29.77 for her to drive 429 miles.

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The area of the figure is

Information given in the problem includes

The figure would be a trapezoid and the area of a trapezoid is

= 1/2 (sum of parallel lines) x height

The parallel lines are

top side = 2.2 yards + 19.2 yards = 21.4 yards

bottom side = 21.4 yards

= 1/2 (21.4 + 21.4) x 9

= 21.4 x 9

= 192.6 square yds

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Answer:

x° = 139

step 1 :

180 - (37 + 38)

= 180 - 75

= 105°

step 2 :

180 - 105

= 75°

step 3 :

180 - 116

= 64°

step 4 : this step to find the value of x

x° = 180° - (64 + 75)°

= 180° - 139°

= 41

x° = 41

Answer:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

Step-by-step explanation:

water level is h=6.5 m, compute the time required to drain the tank to a level of h= 0.5m. Use the fourth-order Runge-Kutta method.

Solution:

A few tips...

Changing the sign of the given equation.

This could only mean that the arrow would go to 1.25 units forward. Then a second arrow will be drawn to go 0.75 units back.

The graph that matches with the above info is Option C.

Answer:

[C]

Step-by-step explanation:

Knowing that:

Alway start at 0.

Since 1.25 is the first number as well as it is positive..

Therefore, {Find a number lines that start at 0 going to the right of the number line}

Right of the number line ⇒ Positive

Left of the number line ⇒ negative

Hence, we can conclude that [B] and [D] and [A]  is wrong.

Because [B] is getting negative when 1.25 is positive

Because [D] Doesn't start at 0.

Because [A} Doesn't start a 0.

Now we have -0.75

which is 1.25 subtracted 0.75

1.25 - 0.75 = 0.5

Hence, base on [C] number line we can conclude that it correct.

~lenvy~

Answer: C

Step-by-step explanation:

The answer would be C because you have to look at the two closest perfect squares that the number is in between. 47 is in between six squared (36) and seven squared (49). That is why the answer would be somewhere between six and seven.

Answer:B.6 and 7

Step-by-step explanation: square root of 47 =6.9

Answer:

True

Step-by-step explanation:

The circumference of the given circle is approximately 47.3 inches.

Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:

arc length = (central angle / 360°) x circumference

Plugging in the known values, we have:

4.6 in = (35° / 360°) x circumference

Solving for the circumference, we get:

circumference = 4.6 in / (35° / 360°)

circumference = 4.6 in x (360° / 35°)

circumference ≈ 47.3 in (rounded to the nearest tenth)

Therefore, the circumference of the circle is approximately 47.3 inches.

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\(x=-2 \implies y=(1/3)^{-2}=3^{2}=9\\\\x=-1 \implies y=(1/3)^{-1}=3\\\\x=0 \implies y=(1/3)^0=1\\ \\ x=1 \implies y=1/3\\\\x=2 \implies y=(1/3)^2 =1/9\)

Using these points, the correct graph is shown in option C.

Answer:

Step-by-step explanation:

The area of a rectangle can be calculated as the product of its length and width. In this case, the length of the rectangle is 11 inches and the width is 8.5 inches, so the area is:

Area = 11 inches * 8.5 inches = 93.5 square inches

So the units of the area of the rectangle defined by the flyer are square inches.

Answer:

C. y = x² + 7x + 10

Step-by-step explanation:

I graphed the equation on the graph below to show you how I got my answer.

Answer:

12% comes from fat

Step-by-step explanation:

(6 + (-7) / 2 , 7 + (-6) / 2) = ( -1/2 , 1/2)

No santiago is incorrect, the midpoint G is at (-1/2 , 1/2)

15x - 2 + 5x + 3 = 5

20x + 1 = 5

20 x = 4

x = 2

No, Q is not the midpoint, because it is not halfway between P and R

Answer:

15 is the distance

Step-by-step explanation:

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

she now has 36 inches of ribbon

Step-by-step explanation:

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Answer:

36 inches of ribbon

Step-by-step explanation:

5x4=20 20+16=36

The matrix operation add -4(row 1) to row 3 is\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\4&-1&6&-8\end{array}\right]\)

From the question, we understand that

We are to add -4(row 1) to row 3

This means that

row 3 = row 3 - 4 * row 1

When these values are evaluated, we have

4: 4 - 4 * 1 = 0

-1: -1 - 4 * 2 = -9

6: 6 - 4 * 1 = 2

-8: -8 - 4 * -5 = 12

This means that we relace 4, -1, 6, and -8 in row 3 with 0, -9, 2 and 12

Using the above as a guide, we have the following:

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

Hence, the result of the matrix expression is \(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

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