When Richard turned 15, he deposited $1,500.00 in a savings account with an interest rate of 7% that is compounded daily. How much money will Richard have when he turns 27?

Step-by-step explanation:

volume = base area × height

= (1/2×12×16)×10

=960cm3

surface area:

1. triangle area = 1/2×12×16=96cm2

2.bottom area = 12×10=120cm2

3.side area = 16×10=160cm2

4.slope area = 10×20=200cm2

5.add everything and remember you have two triangle

surface area= 96×2+120+160+200 =672cm2

Answer:

31

Step-by-step explanation:

The subtotal before the surcharge and the sales tax is $12.25   .

In the question ,

it is given that ,

the total amount paid for the taxi ride = $13.73

sales tax percent charged = 4%

amount of surcharge = $1 .

let the subtotal before the tax and surcharge be "x"

the amount paid by the customer can be represented by the equation ,

total amount = cost + 4% of cost + surcharge

Substituting the values from above , we get

13.73 = x + 4% of x  + 1

4% of x + x = 13.73 - 1

0.04x + x = 12.73

1.04x = 12.73

x = 12.73/1.04

x = 12.24038

x ≈ 12.25

Therefore , The subtotal before the surcharge and the sales tax is $12.25   .

The given question is incomplete , the complete question is

A taxi ride cost a customer a total of $13. 73, which included 4% , percent sales tax and then a $1dollar surcharge. What was the subtotal before the surcharge and sales tax ?

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Answer:

Step-by-step explanation:

-2y = -x -1
2y = x+1
y = 1/2x+1/2

The value of y is  x/2 + c/5  

Given,

In the question:

5x - 7y = 3y - 2c

To find the value of y.

Now, According to the question:

The equation is given as:

5x - 7y = 3y - 2c

Combine the like terms:

-7y - 3y = -5x - 2c

Calculate the sum or difference:

-10y = -5x - 2c

y = -5x/-10 - 2c/-10

Calculate the product or quotient :

y = x/2 + c/5

Hence, The value of y is  x/2 + c/5

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Equation represents the population of the city 'p' in thousand of people in x years when in 2005 projected population is 450,000 and increases by 4,000 people each year is given by p = 4x + 450.

Total population in 2010 is equal to 470,000 people.

As given in the question,

Let 'p' represent the population in thousands of people.

Let x represents the number of years.

Population projected in 2005 = 450,000 people

                                                 = 450 ( in thousand people)

Population increases by 4000 people each year that is equal to 4 (in thousand of people)

Required equation to represent the population in x years ( in thousand of people ) is given by:

p = 4x + 450

Population in 2010 is equal to :

p = 4 ( 2010 - 2005) + 450

 = 4(5) + 450

= 20 + 450

= 470 ( in thousand of people)

= 470,000 people

Therefore, equation represents the population of the city 'p' in thousand of people in x years when in 2005 projected population is 450,000 and increases by 4,000 people each year is given by p = 4x + 450.

Total population in 2010 is equal to 470,000 people.

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The possible outcomes must contain at least three tails, not 33 because a coin is flipped eight times. Then, the possible outcomes that contain at least three tails are 219.

The possible outcome is the possible result of an event. The possible outcomes that contain at least three tails mean the possible outcomes with exactly three tails and more than three. So, the calculation is:

Hence, the possible outcomes that contain at least three tails are 219.

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The probability that he gets four or fewer questions correct is 0.9984

Let p be probability of getting correct answer and q be probability of getting in correct answer.

Number of trails :  n = 6

Number of Successes : x = 4

By using binominal distribution ,

P(x≤4) = 1 - P(x>4)

= 1 - [P(x = 5) + P(x = 6)]

= 1 - [ ⁶C₅ p⁵ q +⁶C₆ p⁶ ]

solving combination ,

= 1 - [ 6 × 4/(5⁶) + 1 /(5⁶) ]

= 1 - (24 + 1 / 625)

= 1 - 25 / 625

= 624/625 = 0.9984

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The points scored by Mrs. Dellett  on her 9th attempt is 210.

Given, Mrs. Dellett took up archery as a hobby.

On her first attempt she scored 18 points.

then every attempt after that, she increased her score by 24 points.

first attempt = 18 points

after this her score increased to 24 points on every attempt.

second attempt = 18+24 = 42

third attempt = 42+24 = 66

fourth attempt = 66+24 = 90

fifth attempt = 90 + 24 = 114

sixth attempt = 114 + 24 = 138

seventh attempt = 138 + 24 = 162

eight attempt = 162 + 24 = 186

ninth attempt = 186 + 24 = 210

Hence the option D is correct.

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The equation to represent the cost is C =  8 + 1.50x + 0.75y.

To write an equation that represents the cost of a pizza.

An equation that represents the cost of a pizza will be

C = 9 + 1.75x + 0.50y

   Fixed cost = $9

   Cost of additional inch = 1.75x

   Cost of additional topping = 0.50y

Total cost (C) will then be:

= 9 + (1.75 × x) + (0.50 × y)

C = 9 + 1.75x + 0.50y

Hence the answer is, the equation to represent the cost is C =  8 + 1.50x + 0.75y.

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Answer:

18 orders in 2 days 9 orders in 1 day

Answer:

Step-by-step explanation:

9x2=18 which is 2 days so 9x1= 9 which is one day

Answer:

  (s, f) = (4.5, 2.25)

Step-by-step explanation:

You want the solution to the simultaneous equations ...

Writing these in general form, we have ...

  3s +2f -18 = 0

  2s +3f -15.75 = 0

Using the "cross-multiplication method" for solution, we find ...

  ∆1 = (3)(3) -(2)(2) = 5

  ∆2 = (2)(-15.75) -(3)(-18) = 22.5

  ∆3 = (-18)(2) -(-15.75)(3) = 11.25

  s = ∆2/∆1 = 22.5/5 = 4.5

  f = ∆3/∆1 = 11.25/5 = 2.25

The solution is (s, f) = (4.5, 2.25).

__

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If she sold the gold bracelet at $2012, the profit would be $1212

Let  original price of the gold bracelet be x

Mrs Tan wanted to make a profit of 52%

The selling price would be $1216

Selling price = x + 52% of x

1216 = x + (52/100)x

1216 = 152/100x

x = 1216(100/152)

x = 800

The original price is $800

The price at which she sells the gold bracelet is 2012

Profit = selling price - original price

= 2012 - 800

= 1212

Therefore, if she sold the gold bracelet at $2012, the profit would be $1212

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The length of the third side of the triangle is 2x+13.

According to the question,

We have the following information:

A triangle has a perimeter of 7x + 8. The first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

We know that perimeter of triangle is the sum of all three sides of triangle.

Let's take its third side to be y.

So, we have the following expression:

3x+2x-5+y = 7x+8

5x-5+y = 7x+8

Adding 5 on both the sides:

5x+y = 7x+8+5

5x+y = 7x+13

Subtracting 5x from both the sides:

y = 7x-5x+13

y = 2x+13

Hence, the correct option is B.

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Answer:

B. 2x+13

Step-by-step explanation:

I got it right on the test

According to the Pythagoras theorem, the value of x is 13.76

Pythagoras theorem:

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“ is known as Pythagoras theorem.

Given,

Here we have the triangle with the side values.

Now, we have to find the value of x through this given values.

In order to calculate the value of x,

First, we need the value of the side KM.

Let us consider the value of KM is y.

Then according to the concept of Pythagoras theorem,

The value of y is calculated as,

=> (12.3)² = y² + (5.4)²

=> 151.29 = y² + 29.16

=>  y² = 122.13

=> y = 11.05

Therefore, the value of the hypotenuse  x is calculated as,

=> x² = (11.05)² + (8.2)²

=> x² = 122.13 + 67.24

=> x² = 189.37

=> x = 13.76

Therefore, the value of x is 13.76.

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Answer:

[tex]y=|x|-4[/tex]

Step-by-step explanation:

The vertex of the graph is at (4, 0).

This eliminates all of the options except for [tex]y=|x|-4[/tex].

Total number of outcomes in rolling a die 3 times = [tex]6^3[/tex]  =216

What is outcome of an event?

Suppose an event is happening. The result of the event is called outcome of the event.

For example : let the event be throwing of a die. One of the outcome of the event is getting a 4 on the die

Number of outcomes of rolling a die first time = 6

Number of outcomes of rolling the die second time = 6

Number of outcomes in rolling a die third time = 6

Total number of outcomes in rolling a die 3 times = [tex]6 \times 6 \times 6[/tex]

                                                                                   = [tex]6^3[/tex]

                                                                                   = 216

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Number of Atlantic cods caught in the year 2001 is; 40300 t

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. This is expressed as;

Percentage = (value / total value) * 100%

Now, we are told that;

Number of Atlantic cods caught in 1991 = 310000 t

We are told that in the year 2001, there were 87% less caught. Thus;

Number by which it was reduced = 310000 * 87% = 269700

Thus;

Number of Atlantic cods caught in the year 2001 = 310000 - 269700

Number of Atlantic cods caught in the year 2001 = 40300 t

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The correct statement is that the value of n that make the relationship a function are any value except 1, 3, or 2

A function is a relationship that maps the elements of a set A to the elements of a set B, such that each element of A is mapped to exactly one element of the set B.

The ordered pair of known values are a function as the elements of the input variable are all different and the element of the output variable are also different, which indicates a 1 to 1 relationship.

The known elements of the set A in the question are; 2, 6, and 4

The elements of the set A are known as the domain of the function.

The known element of the set B are 8, 0, and 2

The fourth ordered pair (2·n, n), has a value similar to the pair (4, 2)

To prevent the presence of the elements 2,. 6, and 4, being assigned to other elements apart from 8, 0, and 2, the value of 2·n can be any value except 2, 6, 4

Therefore;

n can be any value except 2/2 = 1, 6/2 = 3, or 4/2 = 2

The correct statement is therefore;

n can be any value except 1, 3, or 2

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Answer:

Step-by-step explanation:

d- down four then right three

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 4}(x-\stackrel{x_1}{8}) \\\\\\ y-7=4x-32\implies {\Large \begin{array}{llll} y=4x-25 \end{array}}[/tex]

Answer:

y = 4x -25

Step-by-step explanation:

y = 4x + b

we must find the y intercept

plug in the point

7 = 4(8) + b

7 = 32 + b

subtract 32 from both sides

-25 = b

the y intercept is -25

plug in -25 for b

y = 4x - 25

The percentage of items that have not been sold is: 60%

In mathematics, the percentage is calculated by dividing the given value by the total which is then multiplied by 100.

Percent in itself stands for out of 100.

Let the total number of items= i

Let the percentage be represented as= p

Then,

         i=100 (Given in the question)

Let the number of items sold in the first hour be= a

Let the number of items sold in the second-hour be= b

Since,

         p= Given Value/Total value x100

thus,

        a/100x100=30%

        The hundreds cancel out.

Thus, a=30 -(i)

The number of items sold in the second hour= b

b=10 (provided in the question) -(ii)

Let the total number of items sold be=T

The total number of items sold= a+b

From (i) and (ii)

Total number of items sold=30+10

Thus,

        Total number of items sold=40 -(iii)

Number of items that have not been sold(n)=100-(a+b)

                                                                        =100-T

                                                                        = 100-40

                                                       From (iii)

                                                                     n = 60 -(iv)

Then,

          Percentage of items that have not been sold = n/100x100

                                                                From -(iv)              

                                                                                      = 60/100x100

          Canceling hundred by hundred                      

                                                                                      = 60%

Thus,

          Answer: The percentage of items that have not been sold is: 60%

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Check the picture below.

[tex]tan(x) =\cfrac{\stackrel{opposite}{10}}{\underset{adjacent}{4}}\implies tan(x)=\cfrac{5}{2}\implies x=tan^{-1}\left( \cfrac{5}{2} \right)\implies x\approx 68.20^o[/tex]

Make sure your calculator is in Degree mode.

From the given triangle, the order of the sides DEF from shortest to longest is DE, DF, and EF.

Triangle:

The polygon with three edges known as sides and three vertices are known as triangle.

Given,

Here we have the triangle with their corresponding angle.

Now, we have to order the sides from shortest to longest.

Here in the given triangle we know the angles of m∠D = 61, m∠E = 60, and m∠F = 59.

By knowing this measures we can order the sides from shortest to longest, because angles are the opening between to sides, which means if the angle is wide, its opposite side that is in front of the angle is wide too, if the angle is narrow, its opposite side will be narrow.

In this case, the opposite side of ∠D will be the longest, because it is the largest angle. And the opposite side of m∠E will be the second longest, and finally the opposite side of ∠F will be the smallest.

From values, the shortest to longest the order is written as DE, DF and EF.

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Answer:

k = 13

Hope this helps : )

Step-by-step explanation:

To solve the equation, we need to first isolate the variable by doing the inverse operation which in this case is dividing since 7 is being multiplied with the variable k.

1. Divide 7 on both sides of the equal sign.

7k = 91

7 7

2. Answer.

The 7 cancels out so we are left with k = 13 since

91 ÷ 7 = 13

k = 13

3. Check.

Plug in the variable "k."

7(13) = 91

91 = 91 ✓

The simplified form of the expression 52 + 1/5(-1/2)  is [tex]\frac{519}{10}[/tex]

A fraction is a ratio of two integers.

The integers are always in two parts separated by a division line. the part above the division line is called the numerator and the part below the division line is called the denominator.

52 + 1/5(-1/2)

Multiply out the fraction

we have

52 + (-1/10)

52 - 1/10

to make 52 have the same denominator as 1/10 we multiply 52 by 10/10 so that it becomes

520/10 - 1/10

simplifying the numerator we have,

[tex]\frac{520 - 1}{10}[/tex] =  [tex]\frac{519}{10}[/tex]

In conclusion the solution to 52+1/5(-1/2) is  [tex]\frac{519}{10}[/tex]

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La ecuación exponencial 9ˣ⁺¹ + 3 = 28.3ˣ tiene una solución en x ≈ 1.922.

Aquí tenemos una ecuación exponencial en forma implícita, esto es, que la variable x no está en términos implícitos de las constantes de la ecuación.

Esta forma se puede resolver mediante métodos gráficos, a partir de la graficación del siguiente sistema de ecuaciones:

f(x) = 9ˣ⁺¹ - 28.3ˣ - 3

g(x) = 0

La solución es todo punto tal que f(x) = g(x).

A continuación, se grafica cada ecuación en un plano cartesiano mediante una herramienta gráfica. De acuerdo con la imagen, la solución de la ecuación es x ≈ 1.922.

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