Mathematics High School

The XYZ company is seeing it's worth declining at a rate of 3.2% per year. If the current worth is 2,300,000, what will the value be in 5 years?

A.) about $1,954,810

B.) about$2,692,318

C.) about $1,932,000

D.) about $1,951,836

Answers

Answer 1
Every year the company's worth is declining at a rate of 3.2%. If the current worth is 2,300,000 then after one year the worth will be:

2,300,000 - 3.2% of 2,300,000=2,300,000-73600=2,226,400
after two years the worth sill be:

2,226,400 - 3.2% of 2,226,400 =2,226,400 - 3.2/100*2,226,400 =2,226,400 -71244=2155156
after three years the worth will be:
2155156-3.2/100*2155156=2155156-68965=2086191
after four years the worth will be:
2086191-3.2/100*2086191=2086191-66758=2019433
after 5 years the worth will be:
2019433-3.2/100*2019433=2019433-64621=1954812

A)
about $1,954,810















Related Questions

Find the point on the line y = 92x closest to the point (1, 0)

Answers

Let the point on the line y = 92x closest to the point (1, 0) be (x, 92x), then the distance between point (1, 0) and (x, 92x) is given by:

[tex]L=\sqrt{(x-1)^2+(92x-0)^2} \\ \\ =\sqrt{x^2-2x+1+8464x^2}=\sqrt{8465x^2-2x+1}[/tex]

For shortest distance,

[tex] \frac{dL}{dx} =0[/tex]

[tex] \frac{dL}{dx} =0 \\ \\ \Rightarrow \frac{16930x-2}{2\sqrt{8465x^2-2x+1}} =0 \\ \\ \Rightarrow16930x=2 \\ \\ \Rightarrow x= \frac{1}{8465} [/tex]

and [tex]y=92\left(\frac{1}{8465}\right)=\frac{92}{8465}[/tex]

Therefore, the required point is [tex]\left(\frac{1}{8465},\ \frac{92}{8465}\right)[/tex]

Select the property that allows the statement 10 = y to be written y = 10. Commutative - additionDistributive Associative - multiplication Symmetric Commutative - multiplication Associative - additionIdentity - addition

Answers

Hi dear........
The answer is Commutative
because according to this property
a=b
b=a

5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the plywood.

Answers

5w^2 = A
 
You would multiply the width (w) by 5 because it's 5 times more than twice it's width. Then w (Width) would be to the power of 2 because it's 5 times more than twice its width. And this will all equal the Area (a) 

Given that x is a positive number, Niram conjectured that x3>x2 .

What value is a counterexample to Niram's conjecture?

​ −5 ​

110

1

5

Answers

The answer is 1 for those wondering.

4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each side of the window? A. 12 inches B. 6 inches C. 8 inches D. 10 inches

Answers

I think the answer is C

Which is the quadratic variation equation for the relationship y varies directly with x^2 and y=72 when x=3

Answers

y =72

x = 3

X^2 = 3^2 = 9

k = y/x = 72/9 =8

 so you should have an option of:

y =8x^2


the answerto your question is =8x^2

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?

Which three expressions could be used to represent the numbers?

n; n - 4; 4n
n; 4 - n; n + 4
n; n/4; n + 4

Answers

Let's translate these sentences to math one-by-one.

"The sum of three numbers is 62..." translates to the expression:

? + ? + ? = 62

We aren't given any modifications to the first number, so let's just pick a variable n to represent it.

n + ? + ? = 62

The second number is "equal to the first number diminished by 4. We can interpret "diminished by 4" as meaning "subtracted by 4," so we now have:

n + (n - 4) + ? = 62

And finally, we have that the third number is "four times the first," which evidently implies multiplication of the first number by 4. Which gives us:

n + (n - 4) + (4n) = 62

At this point, we don't even need to solve for n, since we already have our three expressions, and those are n, n - 4, and 4n.

Factor this expression: ab + 4 + a + 4b

Answers

Grouping method works best on this one:

ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)

Answer:

Grouping method works best on this one:

ab+a+4+4b=a(b+1)+4(b+1)

=(a+4)(b+1)

Step-by-step explanation:

How to turn a repeating decimal into a fraction 0.1515?

Answers

take the first 2 numbers and put them over 99

so 0.151515 would become 15/99

You would take the first two numbers of the decimals .15 and move the decimal place two places to the left making it 15. Then to make it a fraction is would be 15/100.

How many solutions are there?

Answers

the answer should be two

What is the value of x

Answers

Hello there!

This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.

How do we find the missing angles?

The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.

We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.

Well, all we have to do is follow the rules.

They say we need to add all the angles together.

40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70

The correct answer is 70.
----------------------------------

Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180


I hope this helps!

The drama club can wash 9 cars in 40 minutes. At this rate, how many cars can they wash in 2 hours?

Answers

9/40=0.225 0.225*120(for 2 hours) =27

2Hr=120min 120/40=3 9*3=27

they can wash 27 cars in 2 hours

Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair?

Answers

She can buy 6 scarfs and 4 earrings
She can buy 4 pairs of earrings.

Thursday is 3 days before 2 days before today. what was yesterday?

Answers



Thursday is 3 days before 2 days before today.
So Thursday  was 5 days ago..
5 days after Thursday is tuesday 
If today is  tuesday  tomorrow is wednesday

"Thursday is 3 days before 2 days before today. "

This means Thursday is 5 days before Today.

So, what is 5 days after Thursday?

It is Tuesday [which is Today].


If today is Tuesday, what was yesterday? It was Monday.


ANSWER: Monday

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

Enter your answer in the box.

Answers

Answer:

the slope is 3/4

Step-by-step explanation:

the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.

The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2  is  3/4

The given line equation is:

3y  =  -4x  +  2

Express the equation in the point-slope form of a line equation

The point-slope form of the equation of a line is y = mx + c

where m represents the slope

and c represents the y-intercept

3y  =  -4x  +  2

[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]

Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:

The slope, m = -4/3

The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:

[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]

The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2  is  3/4

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Simplify 2(x - 4) + 7(x + 2).

9x - 6
9x - 4
9x + 6

Answers

2(x - 4) + 7(x + 2)
= 2x - 8 + 7x + 14
= 9x + 6

answer
9x + 6
With this question you will distribute and add. You want to do this from left to right.

2*x = 2x
2*-4 = -8

Now the equation is (2x-8)+7(x+2). This is where you distribute again.
7*x = 7x
7*2 = 14

The equation is now (2x-8)+(7x+14) which can also be rewritten to be 2x - 8 + 7x + 14. Here you combine like terms through adding.
2x + 7x = 9x
14 - 8 = 6

Remember to always keep the sign of the number when adding. This means your answer would be 9x+6 or 6+9x.

What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.

Answers

we know that

The equation of the line into slope-intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]2x+3y=6[/tex]

Isolate the variable y

[tex]3y=-2x+6[/tex]

[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]

[tex]y=-\frac{2}{3}x+2[/tex]

the slope is [tex]m=-\frac{2}{3}[/tex]

the y-intercept is [tex]b=2[/tex]

the answer in the attached figure

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

A linear equation is given by:

y = mx + b;

Where y,x are variables, m is the slope of the line and b is the y intercept.

Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:

2x + 3y = 6

3y = -2x + 6

Dividing through by 3:

y = (-2/3)x + 2

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

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Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.

Answers

The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.

The ratio of female students to the total number of students:

11 female students to 21 total students: 11/21

Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2

In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance? In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?

Answers

no because it is taking the mean if the whole group and not each individual

Answer:

The weight loss program is statistically significant.

Step-by-step explanation:

We can define a statistically significant difference or result as a result which is not attributed to chance. In other words we can say that a statistical significance shows if the difference observed between groups is real or if it has occurred simply due to chance.

Here, given is that 40 subjects lost a mean of 3.0 lb after 12 months.

So, here the weight loss program is statistically significant as the results are unlikely to occur by chance.

A set of positive and negative rational numbers are shown. 715 , –215 , 1115 , 415 , –815 What is the difference between the largest and the smallest numbers in the list?

Answers

the largest is 1115
The smallest -815

to get the range, subtract smallest from largest

1115 - (-815) = x

x = 1930

The difference is 1930

hope this helps
The difference between these numbers is 1930

At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item

Answers

The full explanation can be found on my page because I've answered this exact question before, but the individual cost is $9.

What equation is equivalent to √x+11=15

Answers

Greetings and Happy Holidays!

Solve for x:
[tex] \sqrt{x}+11=15[/tex]

Add -11 to both sides:
[tex](\sqrt{x}+11)+(-11)=(15)+(-11)[/tex]

[tex]\sqrt{x}=4[/tex]

Sqaure both sides.
[tex]\sqrt{x}^2=4^2[/tex]

[tex]x=16[/tex]

The Answer Is:
[tex]\boxed{x=16}[/tex]

I hope this helped! 
-Benjamin

Complete the point-slope equation of the line through (-4,8) and (4,4)

Answers

Point Slope Form looks like this:

[tex]y-y_{1} = m(x-x_{1})[/tex]

First, we need to find the m value, or slope. We can do this by using this equation:

[tex]y_{2} - y_{1 }= x_{2} - x_{1}[/tex]

4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2

Now, select one of the coordinate points, input those values and m, and solve for b.

4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b

y = -1/2x + 6

Now, input any number for x (I prefer 0, the y-intercept), and solve for y.

y = -1/2(0) + 6
y = 6

(0, 6)

After doing that, you can input that coordinate point into Point-Slope Form.

y - 6 = -1/2(x - 0)

Answer:

Step-by-step explanation:

How to tell if an equation has no solution without solving?

Answers

if the awnsers equal eachother for example 
x+3=5+x-2

A ray that contains a point that is equidistant from both sides of the angle. *

Answers

Consider a angle â BAC and the point D on its defector Assume that DB is perpendicular to AB and DC is perpendicular to AC. Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC Proof Consider triangles ΔADB and ΔADC Both are right angle, â ABD= â ACD=90 degree They have congruent acute angle â BAD and â CAD( since AD is angle bisector) They share hypotenuse AD therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

Answers

The answers are:
__________________________
    [B]:  "√12 " ;   AND:
__________________________
    [D]:  "√20" .
__________________________
Note:  "Irrational numbers" have decimals that are:  1) non-terminating;  AND:  2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A)  "√9"  =  3 .  Rule out this choice.
__________________________________
Choice C)  "√16" = 4 .  Rule out this choice.
__________________________________
Choice E)  "√25" = 5.   Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
    [B]:  "√12"  ;  and:  [D]:  "√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer.   However, let us explore these two choices, using a calculator.
____________________________
    [B]:  "√12"  =  3.4641016151377546

    [D]:  "√20"  =  4.4721359549995794
_________________________________
These two answer choices should the correct answers.

150 adults complete a survey. 80 are women. Write the ratio men:women in its simplest form?

Answers

Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.

Given :

Total number of adults = 150.

Total number of Women = 80.

Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:

Step 1 - Let the total number of men be x.

Step 2 - Now, the total number of adults is 150 that is:

        150 = x + 80   ---- (1)

Step 3 - Subtract 80 from both the sides of the equation (1).

        150 - 80 = x + 80 - 80

        70 = x

Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:

[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]

[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]

So, the ratio men:women in its simplest form is 7:8.

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https://brainly.com/question/22687297

which is not a solution of the inequality 5 - 2x at least -3 ?

a.) 0
b.)2
c.)4
d.)5

Answers

0the answere is zero
the answer ur lookin for is 0 

How to solve it using the system of substitution

Answers

Find x, y,and z. Once ypu find that you should be able to find your answer

An ion has a charge of +7. How far is it from being neutral?


A. -0.07
B. -7
C. 7
D. 70
E. 0.7

Answers

wsedrftghjiuytrewsdfghjhgres

Your answer is E. Sorry if wrong hope this helped

(Might be wrong!)

Answer:

B. -7

Step-by-step explanation:

An atom has a neutral charge with equal numbers of positive and negative particles,

That is, an atom with no chargen or 0 charge is called neutral.

Given,

The ion has a charge of +7,

Also, + 7 - 7 = 0,

Thus, for being neutral the ion needs -7 charge,

Hence, option 'B' is correct.

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