At the beginning of the year 2005, a person invests some amount in a bank. At the beginning of 2010, the accumulated interest was 10000 and at the beginning of 2015, the accumulated interest became 25000. The interest rate is compounded annually and the annual interest rate is fixed. What is the principal amount​

Answer:

a = 300

[tex]5 \sqrt{12} = \sqrt{25} \sqrt{12} = \sqrt{25 \times 12} = \sqrt{300} [/tex]

Step-by-step explanation:

These two angles are vertical angles so they are equal to each other

[tex]13x - 26 = 9x + 30[/tex]

[tex]4x = 56[/tex]

[tex]x = 14[/tex]

So

[tex]9(14) + 30 = 156[/tex]

[tex]13(14) - 26 = 156[/tex]

For the given function, the range of each function would be R = {-15, -7, -3}.

What is the range of the function?

In mathematics, the range of a function can refer to one of two concepts that are closely related: The function's codomain and the function's visual representation A binary relation f between two sets X and Y is a function if for every x in X there is exactly one y in Y such that f relates x to y.

The given function is: h(x) = x - 7 and the domain = {-8, 0, 4}

Now find the range of each function

h(-8) = -8 - 7 = -15

h(0) = 0 - 7 = -7

h(4)= 4 - 7 = -3

Range(R) = {-15, -7, -3}.

Hence, for the given function, the range of each function would be R = {-15, -7, -3}.

To learn more about the range of the function, visit:

https://brainly.com/question/2264373

#SPJ9

The domain of the expression [tex]\frac{4x^2}{x^3}[/tex] is (-∞,0) ∪ (0,∞)

The given expression is

[tex]\frac{4x^2}{x^3}[/tex]

The expression is the mathematical statement that consist of different variables, numbers  and mathematical operator. The mathematical operators are addition, subtraction, multiplication and division. The expression does not contain equal sign and inequality signs

The given expression is

[tex]\frac{4x^2}{x^3}[/tex]

First we have to solve the given expression and make it in simplest form and find the domain of the expression

[tex]\frac{4x^2}{x^3}[/tex] = 4/x

The set of all possible input of the expression are called domain.

Here 0 is not the part of domain

The domain =  (-∞,0) ∪ (0,∞)

Hence, the domain of the expression [tex]\frac{4x^2}{x^3}[/tex] is (-∞,0) ∪ (0,∞)

Learn more about domain here

brainly.com/question/28135761

#SPJ1

In the process of completing the square method the value of c in the equation x^2 + 3x + c = 7/4 + c is calculated to be

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is one of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem x^2 + 3x + c = 7/4 + c it is

(b / 2a)^2 = (3 / 2)^2

= 9/4

Learn more on completing the square method here:

https://brainly.com/question/29338104

#SPJ1

The probability that all 4 cards are face cards is 0.00182842367.

The face cards are the King, Queen, and Jack (sometimes known as the Knaves). There are 12 face cards in the 52-card deck of playing cards.

The cards are drawn without replacement,

The probability of getting a face card in first draw is 12/52.

As it is without replacement, in the second draw the probability is 11/51.

In third draw, it is 10/50.

In the fourth draw the probability is 9/49.

We have to draw all the four cards, so we multiply the probabilities, to get the final probability.

=12/52x 11/51 x 10/50 x 9/49

=0.00182842367.

Therefore, the probability that all 4 cards are face cards is 0.00182842367.

To learn more on probability here:

https://brainly.com/question/11234923#

#SPJ4

Number which is greater than 320 and starts at 324 and count by multiple of 10 and have same number of tens and ones is given by 344.

As given in the number,

Condition for required number is given as follow:

Start at 324 and count by multiple of 10 are:

324 →334 but in this case tens is 3 and ones is 4 , so it is not a valid number.

324 → 334 →344

This number satisfy all the condition of required number.

It is a valid number.

Therefore, number which is greater than 320 and starts at 324 and count by multiple of 10 and have same number of tens and ones is given by 344.

Learn more about count here

brainly.com/question/17831375

#SPJ1

The linear equation is 10C+13A=859 and number of children ticket is 17.

What is linear equation ?

 A linear equation is also known as a one degree equation. The linear equation's highest power is 1. Linear equations are equations with variables on both sides that are multiplied by a constant.

Let us take Number of children's ticket as C and number of adult's ticket as A.

Here cost price of one adult ticket = $13

Cost price of one children ticket =$10

A total of $859 was collected in ticket sales for the 7:15PM show.

Total cost price = cost price of children ticket + cost price of adult ticket

=> Total cost price = 10*C+13*A

=> 859=10C+13A

Hence the linear equation is 10A+13A=859.

Here If number of adult ticket = 53. Then

=> 13*53+10C=859

=>689+10=859

=>10C= 859-689=170

=> C=170/10 = 17.

Hence the number of children ticket is 17.

To learn more about linear equation refer the below link

https://brainly.com/question/28732353

#SPJ1

Answer:

Step-by-step explanation:

hours of sleep, with a standard deviation of1.93hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.

(a)What is the probability that a visually impaired student gets less than6.2hours of sleep?

answer:

(b)What is the probability that a visually impaired student gets between6.8and10.93hours of sleep?

answer:

(c)Thirty percent of students get less than how many hours of sleep on a typical day?

answer:

hours

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

For the first point, we would have 9=3k;

So we have k=9/3.

For the second point, we would have 13=4k;

this would mean that k=13/4.

And for 3rd point, we would have 23 =7k;

Checking using proportions shows us that 11/7 does not equal 13/4:

cross multiply.

Since this is untrue, k is not a constant and y does not change in direct proportion to x.

Hence the equation of the for the different points are determined.

Learn more about Slope, by the following link

https://brainly.com/question/16949303

#SPJ1

The period used = 4 years, Rate used = 6%, the PV factor used = 0.792, and the PV of the amount desired at end of the period = $7049.63.

According to the given question, the required solution would be as:

The period used = 4 years,

Rate Used = 6%

We know that,

PV factor = 1/(1+r)ⁿ

Here r = 6% = 6/100 = 0.06, and n = 4

PV factor = 1/(1+0.06)⁴

PV factor = 1/(1.06)⁴

PV factor = 0.792

PV of the amount desired at end of the period = FV/(1+r)ⁿ

Here FV = $8,900.00

PV of the amount desired at end of the period = 8,900.00/(1+0.06)⁴

PV of the amount desired at end of the period = 8,900.00/(1.06)⁴

PV of the amount desired at end of the period = $7049.63

Thus, the period used = 4 years, Rate used = 6%, the PV factor used = 0.792, and the PV of the amount desired at end of the period = $7049.63.

To learn more about the present value factor click here:

https://brainly.com/question/21801625

#SPJ1

If Giuseppe’s buys supplies to make pizzas for $4. Operating expenses of the business are 110% of the cost and the profit made is 130% of cost. the regular selling price of each pizza is: $13.60.

Using this formula to find the regular selling price

Regular selling price = Cost price × (Operating expenses + Profit +1)

Where:

Cost price =$4

Operating expenses = 110% or 1.1

Profit = 130% or 1.3

Let plug in the formula

Regular selling price =$4 × (1.1 +1.3 +1)

Regular selling price  =$4 × 3.4

Regular selling price  = $13.60

Therefore the regular selling price is $13.60.

Learn more about selling price here:https://brainly.com/question/1153322

#SPJ1

Answer:

Tano=x

Step-by-step explanation:

First, let's call sin(tan−1(x))=sin(θ) where the angle θ=tan−1(x) . More specifically, tan−1(x)=θ is the angle when tan(θ)=x

Mean uses [tex]\frac{17}{18}[/tex] inches of chalk

What is algebra ?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

She used [tex]\frac{1}{3}[/tex] of a piece of chalk that was originally [tex]2\frac{5}{6}[/tex]  inches long.

Now, we have to find how many inches of chalk did she use

= 1/3 × 2 5/6

= 1/3 × 17/6

= 17/18 inches.

Hence, Mean uses 17/18 inches of chalk.

To learn more about algebra from the given link  

https://brainly.com/question/6143254

#SPJ1

The annual births that Maine should expect is about 18,164

Given,

The average annual birth in Lowa = 37,785

The average annual death in Lowa = 30,530

The average annual death in Maine = 14,676

Maine is proportional to Lowa in annual births to deaths.

We have to find the annual births that Maine should expect;

Here,

Maine is proportional to Lowa in annual births to deaths.

That is,

Annual birth in Lowa :  Annual death in Lowa = Annual birth in Maine : Annual death in Maine

37,785 : 30, 530 = x : 14,676

x = (37,785 x 14,676) / 30,530

x = 18, 164

That is,

The annual births that Maine should expect is about 18,164

Learn more about proportionality here;

https://brainly.com/question/26974513

#SPJ1

Answer:

The price for one pizza would be $11

Step-by-step explanation:

If its $264 for 24 pizzas you divide

264/24=11

The angle θ = 170° and  θ = 350°  have the same Sine and Cosine as 10° respectively

Since the Sine and Cosine of angle 10° are positive

In order to find an angle θ with 0° < θ < 360° that has the same Sine and

Cosine as 10°, we have to check the quadrants in Trigonometry where Sine and Cosine are positive

1st quadrant (0° - 90°) => Sine is positive (10° is here)

2nd quadrant (91° - 180°) => Sine is positive

3rd quadrant (181° - 270°) => None is postive

4th quadrant (271° - 360°) => Cosine is positive

We will consider the 2nd and 4th quadrants:

2nd quadrant: Sine 10° = Sine (180 - 10)° = Sine 170°

4th quadrant: Cosine 10° = Cosine (360 - 10)° = Cosine 350°

Therefore, θ = 170 degrees and  θ = 350 degrees have the same Sine and Cosine as 10° respectively

Learn more about Trigonometry on:

https://brainly.com/question/11967894

#SPJ1

The completion of the chart showing the hourly pay, gross pay, and hours worked by four JA Company employees, including the total wages for the week is as follows:

Employee       Hourly Pay  Hours Worked  Gross Pay

Jalen Smith         $9.25              40                $370.00

Kiara Grays         $9.45              32                $302.40

Tatiana Michel    $9.75              42               $429.00

Kisha Sil              $9.50              36               $342.00

Total wages                                                 $1,443.40

The gross pay for each employee is the product of the hourly pay and the hours worked.

For the employee, who worked 42 hours, the overtime pay is calculated at the double the regular hourly rate, which can also be described as double time.

The total wages are the addition of each employee's gross pay for the week.

Employee       Hourly Pay  Hours Worked  Gross Pay

Jalen Smith         $9.25              40              $370.00 ($9.25 x 40)

Kiara Grays         $9.45              32              $302.40 ($9.45 x 32)

Tatiana Michel    $9.75              42              $429.00 ($9.75 x 40 + (2 x 2 x $9.75)

Kisha Sil              $9.50              36              $342.00 ($9.50 x 36)

Total wages                                                $1,443.40

Learn more about the gross pay at https://brainly.com/question/25273589

#SPJ1

The simple radical form is 72√2.

What is simple radical form?

If we know the prime factorization of 32, we can write the simplest radical form of the square root of 32. Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.

Given,

3√2•2√8•√3•√6

= 3×√2×2×√8×√3×√6

as we know √ab = √a√b

we can write, √8 = √2√4 and √6 =√2√3

we get,

=3×√2×√2×√4×√3×√3×√2

=3×2×2×3×√2

=72√2

To know more about radical form, visit:

https://brainly.com/question/11600746

#SPJ13

The match of the equation are listed below:

A. y = 1.5x => (14,21) ,(2,3), (8, 12)

B. 2x + 3y = 7 => (1, 1 2/3), (-1, 3), (0, 2 1/3)

C. x - y = 4 => (-3, -7), (0, -4), (-1, -5)

D. 3x = y/2 => (0.5, 3), (1, 6), (1.2, 7.2)

E. y = - x + 1 => (1/2, 1/2), (1/4, 3/4), (1/8, 7/8)

Equation:

Equation refers the statement that the values of two mathematical expressions are equal and indicated by the equal sign.

Given,

Here we have list of equation and the matching solutions also.

Now, we need to find the correct pairs from it.

In order to find the correct matching pair, in each solution we have to take one point and apply it on the given equation, then we get,

Then when we take the point (14,21)

Apply it on the equations, then we get,

A. 21 = 1.5(14)

=> 21 = 21

Now, we have to take the second one (-3, -7)

And apply it on the equations,

B . 2(-3) + 3(-7) = 7

=> -6 - 21 = 7

=> -27 ≠ 7

C. -3 - (-7) = 4

=> -3 + 7 = 4

=> 4 = 4

Then the third point (1/2, 1/2), the apply the equation,

B. 2(1/2) + 3(1/2) = 7

=> 1 + 3/2 = 7

=> 5/2 ≠ 7.

D. 3(1/2) = (1/2)/2

=> 3/2 ≠ 1

E. y = -x + 1

=> 1/2 = -1/2 + 1

=> 1/2 = 1/2

Now, we have to take the point (-1, 3)

B. 2(-1) + 3(3) = 7

=> -2 + 9 = 7

=> 7 = 7

Then the remaining match with the final one.

To know more about Equation here.

https://brainly.com/question/10413253

#SPJ1

Answer:

Independent and dependent

Step-by-step explanation:

68.50 would stand as the independent as x could stand for anything such as months or days. 127.95 acts like a static number as it will never change regardless.

The mode of the data set is 15.

A data set's mode or modal value is the value that appears the most frequently.

The given data are:

15, 12, 20, 19, 20, 15, 7, 12, 7, 19, 15.

Note that the number 15 occurs 3 times in the data set which is highest than the occurrence of any other number in the data set.

Hence, the mode of the data set is 15.

Learn more about the mode:

https://brainly.com/question/300591

#SPJ1

1. nine hundredths and five hundredths

2. seventy-six hundredths and twelve hundredths

3. two and seven hundred and fifty thousandths

4. four thousand seven hundred thirty-nine tenths

5. five hundred and eighty-two thousandths

6. twenty-five thousand three hundred sixty-six thousand tenths

7. 17 and three tenths

8. two million seven hundred fifty-one hundredths

9. nine hundred and twenty-three hundredths

10. eight thousandths of a percent

1. Write down the complete number.

2. Enter "and" as the decimal point.

3. The decimal part should be written exactly like a whole number.

4. Write down the place value of the last digit.

For both integer and non-integer numbers, the decimal numeral system is the most often used representational scheme. Non-integer values have been added to the Hindu-Arabic numeral system. The word "decimal notation" refers to the method through which decimal numbers are represented.

To know more about decimal, visit:

https://brainly.com/question/548650

#SPJ1

Answer:

48 minutes

Step-by-step explanation:

Jacob can wax 1/4 of the floor in 1 hour so we need to find how much he can do in 40 minutes

Since 40 in 2/3 of an hour we multiply 1/4 by 2/3

1/4*2/3

2/12

1/6

Jacob can do 1/6 of the floor in 40 minutes so that means his brother can do 5/6 of the floor in 40 minutes

we need to find that 1/6 more of floor he needs to do by dividing 5/6 by 5 and 40 by 5

5/6/5

5/6*1/5

5/30

1/6

40/5

8

It takes 8 minutes for his brother to do 1/6 of the floor so we add that to the original

40+8

48 minutes it takes for jacob’s brother to do the entire floor

Hopes this helps please mark brainliest

Answer:

19%

Step-by-step explanation:

number of economics students/total students in class * 100

1634/8600 * 100

1634/86

817/43

19%

Answer: the answer  is D i just did that

Step-by-step explanation:

The new coordinate points of the line will be -

Point X' → (-4, 2)

Point Y' → (3, -4)

Translation is s transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

We have -

The transformation rule : (x, y) → (x − 1, y + 1).

Coordinates of the vertices of the line -

Point X → (-3, 1)

Point Y → (4, - 5)

After the translation, the coordinate points will become -

Point X' → (-4, 2)

Point Y' → (3, -4)

Hence, the new coordinate points of the line will be -

Point X' → (-4, 2)

Point Y' → (3, -4)

To solve more questions on Translating coordinate points, visit the link below -

brainly.com/question/26906246

#SPJ1

Answer:

(4,6)

Step-by-step explanation:

PLS MAKE BRAINLIEST

Answer:

See below

Step-by-step explanation:

Pick two convenient integer coordinat e points to calculate the slope

(-1,1) AND  (1,0)

Slope = (y1-y2) / (x1-x2) = (1-0)/(-1-1) = -1/2

Slope-yaxis intercept form   y = mx + b

     y = -1/2 x +b    sub in either of the points to calculate  b = 1/2

y = -1/2 x   + 1/2    Done.

The number of months that it would take for the price of the gallon to get to 1.90 dollars is 20 months.

We have the following details with which we are to solve this problem.

The price of gas is given as $1.79

The rate of increase is given as 0.3% = 0.003

We are to find the value for when it would be $1.90

The formula that would be used to solve this is given as

[tex]F = P * (1 + r)^n[/tex]

Where f = final value

p = present value

r = rate

n = number of months

From the question

f = 1.90

p = 1.79

r = 0.03

we have to put these values in the formula that we have here

[tex]1.9 = 1.79 * (1 + 0.03)^n[/tex]

[tex]1.9 = 1.79 * (1.003)^n[/tex]

Divide through by 1.79

[tex]\frac{1.9}{1.79} = (1.003)^n[/tex]

take the ln of both sides

[tex]ln\frac{1.9}{1.79} = nln(1.003)[/tex]

We have to simplify the equation above from this stage

ln1.0615 = n0.002995

0.05968 = n0.002995

divide through by the value of n

n = 0.05968 / 0.002995

n = 19.92

n ~ 20

Read more on future value here: https://brainly.com/question/25805668

#SPJ1