Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
2. Jay Smith deposited $5,000 into an annuity due at the beginning of each quarter for 3 years at 6%
compounded quarterly.

Answer:

one possible way was because she knew what she did and started playing innocent

They will earn If they work every week If the year is $22100.

We have given that,

you currently make 425

We have to determine what is the gross they will earn If they work a week If the year.

We know that

A worker currently makes $425 per week

1year=52 weeks

So by proportion find the amount that the worker will earn in one year

[tex]\frac{425}{x}\times \frac{\$}{weeks}[/tex]

[tex]=\frac{x}{52}\times \frac{\$}{weeks}[/tex]

[tex]x=52\times 425[/tex]

x=22,100

Therefore, The answer is $22100.

To learn more about the gross money visit:

https://brainly.com/question/27511176

#SPJ1

Answer:

625

Step-by-step explanation:

here we are in an inverse proportion situation :

As the number of days increases

when the number of students decreases and vice versa.

__________________

Say n is the original number of students.

___________________________________________

After 15 days, the rest of food is enough for n students for 45 days,

or enough for n+500 students for 25 days.

Then

45n = 25×(n + 500)

Then

45n = 25n + 25×500

Then

45n - 25n = 25×500

Then

20n = 12500

Then

n = 12500÷20

  = 625

and thus , there were 625 students in the hostel.

Answer:

System has no solutions.

Step-by-step explanation:

Double the first, change sign to the second. You get

[tex]6x-4y=8\\6x-4y=-7[/tex]

You need a quantity ([tex]6x-4y[/tex]) which, at the same time is both equal to 8 and -7, which is obviously impossible.

System has no solutions.

Answer:

-4  option (c)

Step-by-step explanation:

Cramer rule : In this method, the values of the variables in the system are to be calculated using the determinants of matrices

if , D :determinant of the coefficient matrix

[tex]{D}_{x}:[/tex]determinant of the matrix with coefficients except x

then,

[tex]x=\frac{{D}_{x}}{D}[/tex]

similarly,

[tex]y=\frac{{D}_{y}}{D}[/tex]

[tex]z=\frac{{D}_{z}}{D}[/tex]

given,

D = -23

[tex]D_{y}[/tex]  =           [tex]det\left[\begin{array}{ccc}5&7&-1\\2&6&-2\\3&-7&2\end{array}\right][/tex]

[tex]D_{y}[/tex] = 92

therefore, y = 92/(-23)

   y = -4 answer

learn more about determinants at

https://brainly.com/question/11841826

#SPJ10

There are a total of five theorems congruent triangles. They are summarized as:

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
https://brainly.com/question/2102943
#SPJ1

Answer:

AD=BC (given)

DC=DC (reflexive property)

DE=CE (converse of isosceles triangle thm)

<BCD=<ADC (given)

<ECD=<EDC (CPCTC)

TriangleADC=TriangleBCD (SAS)

Answer: 95 degrees (not an answer choice)

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so the left part of the angle is 40 degrees.

Adjacent angles of a parallelogram are supplementary, so the right part of the angle is 55 degrees.

Adding these together, we get 95 degrees.

Answer:

Hi

The answer is C

Step-by-step explanation:

Because it descend means goes down so it's minus and after that it ascends means goes up so it's plus so the answer will be -

26,843-1,284+5832

D

Step-by-step explanation:

The points dx are at -1, 1, 2 and 3 so it must be D

Answer:

To find the range,

first see the value of each points -

first = (3,5)

second = (2,0)

third = ( 1,3)

fourth, ( -1, 2)

let's take X Axix to find the range

so the range is ( -1, 1 , 2 ,3)

Option D is correct

The width of the cooling tower at the base of the structure will be A. 36 meters.

From the information given, the towers walls are modeled by x²/324 - (y² - 90)²/1600.

Therefore, the width of the cooling tower at the base of the structure will be:

= 2 × ✓324

= 2 × 18

= 36

In conclusion, the width is 36 meters.

Learn more about width on:

brainly.com/question/25855344

#SPJ1

Answer:

It is actually D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

24 minutes

Explanation:

Given:

Formula:

time taken = distance/speed

Applying the formula:

time taken = 6/15 = 0.4 hours = 24 minutes

Now

If you talk for 384.23 minutes the two plans will have the same cost.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

x is the number of minutes that will be used during a month:

C₁ = 0.24x

C₂ = 49.95 + 0.11x

So, when 1st = 2nd

0.24x = 49.95 + 0.11x

0.24x - 0.11x = 49.95

0.13x = 49.95

x = 49.95/0.13

x = 384.23 minutes

Hence, If you talk for 384.23 minutes the two plans will have the same cost.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Option A is the correct answer.

The independent variable is the input variable and should be represented by the x-axis.

A variable is a symbol and placeholder for a quantity that may change, or any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.

For the Scatterplot, out of given options,

Option A is the correct option which represents The independent variable is the input variable and should be represented by the x-axis.

Thus, The independent variable is the input variable and should be represented by the x-axis.

Learn more about Variable from:

https://brainly.com/question/1511425

#SPJ1

Step-by-step explanation:

The top has been multiplied by 5 so multiply the bottom by 5, 2 x 5 = 10. also why is there a pig lol

Answer:

0.125 mm

Step-by-step explanation:

A/L=W

W=0.125

The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 5x²+(24/5x)+(24/x).

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the width of the rectangular box be x. Therefore, the length of the box is 5x. Now, the height of the box can be written as,

Volume of the box = length × width × Height

12 = 5x² × H

H= 12 / 5x²

Further, the surface area of the open box is,

Surface area of the box

[tex]= (5x \times x) + 2(h \times x) + 2(5x \times h)\\\\= (5x^2) + 2(\dfrac{12}{5x^2} \times x) + 2(5x \times \dfrac{12}{5x^2})\\\\\\= 5x^2 + \dfrac{24}{5x} + \dfrac{24}{x}[/tex]

Hence, the surface area of the prism is 5x²+(24/5x)+(24/x).

Learn more about the Area:

https://brainly.com/question/1631786

#SPJ1

Answer:

Option B is correct.

Step-by-step explanation:

Trigonometry is defined as the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. There are three basic trigonometric ratios: sine, cosine, and tangent. Trigonometry and its functions have an enormous number of uses in our daily life. For instance, it is used in geography to measure the distance between landmarks, in astronomy to measure the distance of nearby stars and also in the satellite navigation system.

The trigonometric function of sine for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse while the cosine is the ratio of the base and the hypotenuse.

Here, [tex]sin 30[/tex]° [tex]=\frac{4}{8}[/tex]

[tex]sin 30[/tex]° [tex]=\frac{1}{2}[/tex]

[tex]cos 30[/tex]° [tex]=\frac{4\sqrt{3}}{8}[/tex]

[tex]cos30[/tex]°[tex]=\frac{\sqrt{3} }{2}[/tex]

Learn more about trigonometry-https://brainly.com/question/13729598

#SPJ10

Answer:

x= 14, –12

Step-by-step explanation:

The given question might make you believe that it's difficult due to it's frightening digit (168) but in fact in you use the following methods, it's going to be a pieces of cake.

the delta formula:

Δ=b²–4ac===> (–2)²–4(1)(–168)=676

[tex]x 1 = \frac{ - ( - 2) + \sqrt{676} }{2} = 14 [/tex]

[tex]x2 = \frac{ - ( - 2) - \sqrt{676} }{2} = - 12[/tex]

well this can be on of the methods and the other one is

The full square formula:

[tex]x ^{2} - 2x - 168 = 0 \\ {x}^{2} - 2x = 168[/tex]

[/tex]

now what you need to do is to put this on both side of the equation (½b)²=1

[tex] {x}^{2} - 2x + 1 = 168 + 1 \\ {(x - 1)}^{2} = 169 \\ x - 1 = 13 = = > x = 14 \\ x - 1 = - 13 = = = > x = - 12[/tex]

Answer:

Step-by-step explanation:

If a = 0, f(a) = f(0) = 0 + 0 + 7 = 7;

If a = 1, f(1) = 3(1^2) + 2(1) + 7 = 12;

and so on.  Normally an 'a' value would be given as part of this problem.

Actually, the value of f(a) is given and is  f(a) = 3a^2+2a+7 for input value a.

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

Read more about Algebra Word Problems at; https://brainly.com/question/21405634

#SPJ1

Answer:

y = 3

Step-by-step explanation:

2x + 3y = 9

-2x + 2y = 6

We have to add these two equations which gives us 5y = 15. Now, if you divide by 5 on both sides you get y = 3.

Answer:

The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y. That concept can be translated in two ways. for some constant k. The k is called the constant of proportionality. Therefore a chance of probability is a binary table.

Step-by-step explanation:

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

Answer: A'(-3, 7), B'(3, 6), C'(-7, -2)

Step-by-step explanation:

Reflecting over y = x maps (x,y) onto (y,x).

Answer:

[tex]x^4-x^3+3x^2-x+6[/tex]

Step-by-step explanation:

Multiply each term in the first equation by all the terms in the second and add them together.

Answer:

22 cm

Step-by-step explanation:

First we need to know that The golden number

= (1+√(5))÷2

= 1.61803398875 (in decimal)

………………………………………………

We get the length of a golden rectangle

by multiplying its width by the golden number itself.

Then

The width = 35÷ 1.61803398875

                 =21.631189606245

Answer:

45.5%

Step-by-step explanation:

The increase in population was 45.5%

Answer:

The parent function of linear functions is y=x and it passes through the origin.The domain and range of all linear functions are all real numbers.



Step-by-step explanation:

The correct answer is option B which is the value of Y will be 12.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

If the ordered pair (-5/2, y) lies on the graph of y=7-2x,

The value of Y will be calculated as:-

Y = 7 - 2x

Y = 7 - 2 ( -5/2 )

Y = 7 - ( - 5 )

Y = 7 + 5

Y = 12

Therefore the correct answer is option B which is the value of Y will be 12.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1