an investment has been losing money at a rate of 4% per year. the value of the investment now is $75,000. what will be the value of the investment im 10 years?

Answer:

9

Step-by-step explanation:

When there are any negatives they will always be less then a positive.

-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10

The larger the negative the less it is since its so far away from the middle (0)

-Greatest to least

-8,-5,3,9

============================================================

Explanation:

We have two similar triangles here, so we can set up the proportion below to solve for x

5200/(5200+6500) = 5600/x

5200/11700 = 5600/x

5200x = 11700*5600 .... cross multiply

5200x = 65,520,000

x = (65,520,000)/(5200)

x = 12,600 which shows why the answer is choice D

side note: 12,600 ft = 2.386 miles approximately

The plane’s distance from point A when it reaches point C is 12600 feet.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

From the figure,

The two triangles are similar.

This means,

The ratio of its corresponding sides is equal.

So,

(5200 + 6500) / 5200 = (5600 + BC) / 5600

Solve for BC.

(5200 + 6500) / 5200 = (5600 + BC) / 5600

(11700 / 5200) x 5600 = 5600 + BC

117/52 x 5600 = 5600 + BC

BC = 12600 - 5600

BC = 7000

Now,

The plane’s distance from point A when it reaches point C.

= AB + BC

= 5600 + 7000

= 12600 feet

Thus,

The plane’s distance from point A when it reaches point C is 12600 feet.

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Answer:

the answer is given on the picture

The number of people like only coffee is 30 and the number of people like only tea is 55.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

Let T=tea and C=coffee

n(T)=80

n(C)=55

n(T∩C)=25

People did not like both tea and coffee=30

ii) Number of people surveyed

n(T∪C)=n(T)+n(C)-n(T∩C)

= 80+55-25

= 110

Then,

n(∪)=n(TUC)+People did not like both tea and coffee

= 110+30

= 140

iii) Number of people like only Tea

=n(T)-n(T∩C)

=80-25

=55

iv) Number of people like only coffee

=n(C)-n(T∩C)

= 55-25

= 30

Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.

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Answer:

Step-by-step explanation:

y = 4 - 3x + x^2 is to be rewritten in standard form.  To do this, rearrange the terms in order of powers of x, from highest to lowest.

y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4

Answer:

100

Step-by-step explanation:

Given:

Tn = 2n

Where,

n = nth term

what will be its 50th term?

Tn = 2n

T(50) = 2(50)

= 100

T(50) = 100

Therefore,

The 50th term = 100

-2

Answer:

Solution given:

|-3| -|5|=3-5=-2

since modules gives a value of any number alwats positive

Answer:

-2

Step-by-step explanation:

Absolute value means take the non-negative value

|-3| = 3

|5| =5

|-3| -|5| = 3 -5 = -2

Answer:

side a = 17.58722

angle a = 41.96 degrees

angle b = 47.04 degrees

Step-by-step explanation:

Obtuse Scalene Triangle

Side a = 19.25

Side b = 17.58722

Side c = 26.3

Angle ∠A = 47.04° = 47°2'23" = 0.821 rad

Angle ∠B = 41.96° = 41°57'37" = 0.73234 rad

Angle ∠C = 91° = 1.58825 rad

C=91°B=41.96°A=47.04°b=17.587a=19.25c=26.3

Area = 169.25122

Perimeter p = 63.13722

Semiperimeter s = 31.56861

Height ha = 17.58454  

Height hb = 19.24707

Height hc = 12.87082

Median ma = 20.19553  

Median mb = 21.30255

Median mc = 12.92339

Inradius r = 5.36138  

Circumradius R = 13.152  

Vertex coordinates: A[0, 0] B[26.3, 0] C[11.98551, 12.87082]

Centroid: [12.76184, 4.29027]

Inscribed Circle Center: [12.31861, 5.36138]

Circumscribed Circle Center: [13.15, 0.22953]

Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

I went on Doyourmath, and it helps me if the image didn't help then I am sorry, but I am truly hoping I answered your question.

Answer:

-5

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here,

We have to determine:

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph; g(x) = f(x - 9)

here, we have,

The straight-line x=6 is a vertical asymptote of the graph of the function  g(x) = f(x - 9) if at least one of these conditions is true:

we have,

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

we know,

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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Answer:

$94.314

Step-by-step explanation:

Given data

Commission = 12%

Sale= $785.95

Let us find 12% of  $785.95

=12/100* 785.95

=0.12* 785.95

=$94.314

Hence she earns $94.314

Step-by-step explanation:

hope it helps

Answer:

12f^5

Step-by-step explanation:

3f x 4f⁴

=3x4xf^(4+1)

=12xf^(5)

=12f^5

Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

Answer:

1188

Step-by-step explanation:

33 X 36 = 1188

TO FIND AREA: Height x width= area

Height is 33 Width is 36

40 is just a distraction! :)

Answer:

1.5

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{3}^x[/tex]

[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]

Required

What value cause a stretch

For the function to stretch, then the scale factor must be greater than 1.

From the list of options.

Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]

Hence, 1.5 will cause a stretch.

Answer:

ITS D. 1.5

Step-by-step explanation:

Step-by-step explanation:

h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer

Answer:

The given table is

Quantity(x)     Price(y)

   1                  2.00

   2                 3.50

   3                 5.00

   4                 6.50

   5                 8.00

   6                 9.00

It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).

The graph 1 represents all the above mentioned point, therefore option 1 is correct.

According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.

The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.

Therefore the option 3 and 4 are incorrect.

Step-by-step explanation:

Answer:

$58.8

Step-by-step explanation:

You will take 60 which is the the amount of songs you bought then multiply it by .98. This will then give you 58.8

Answer:

Step-by-step explanation:

(5/6) itself is less than 1 (but greater than 0).  Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.

For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.

The fraction 5/6 is less than one anything multiplied to this number will be less than 1.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fraction is 5/6.

5/6 is less than 1 on its own (but greater than 0). Anything multiplied by (5/6) will provide a magnitude-less result. Because 5/6 is more than 0 but less than 1, it can be shown that (5/6)(3/4) is less than 3/4.

Therefore, the fraction 5/6 is less than one anything multiplied to this number will be less than 1.

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Answer:

105.12

Step-by-step explanation:

Find the area of the rectangle (8 x 10 = 80)

Find the area of the whole circle (3.14 x 4^2 = 50.24)

Divide the area of the circle by 2 since it is a semi circle (50.24 / 2 = 25.12)

Add the area of the two (25.12 + 80 = 105.12)

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

Answer:

Step-by-step explanation:

[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]

In exponent division, if both numbers have same base, subtract the exponents.

Answer:

45 is the anwser

Step-by-step explanation:

thank you

Answer:

2nd and 4th are parallel

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y + x = 5 ( subtract x from both sides )

3y = - x + 5 ( divide terms by 3 )

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/tex]

-------------------------------------------------------

x - 3y = 12 ( subtract x from both sides )

- 3y = - x + 12 ( divide terms by - 3 )

y = [tex]\frac{1}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

-------------------------------------------------------

y = 3x - 2 ← in slope- intercept form

with slope m = 3

---------------------------------------------------------

6y - 2x = 7 ( add 2x to both sides )

6y = 2x + 7 ( divide terms by 6 )

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{7}{6}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

--------------------------------------------------------

Parallel lines have equal slopes.

The 2nd and 4th have equal slopes and are parallel

Answer:

x=80* y=20* and X=100*

Step-by-step explanation:

If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.

We know that a triangle adds up to 180 degrees.

Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).

By opposite angles, QXP is equal to 80 degrees also.

Then we are left with solving for X.

Supplementary angles add up to 180 degrees.

Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.

Answer:

x=70

Step-by-step explanation:

All the angles in a triangle have to add up to 180. 40 degrees is already taken up so there is 140 degrees left. There are 2 remaining angles, so 140/2=70. x=70.

Hope this helps!

Answer:

70

Step-by-step explanation:

all the angles add up to 180

180= 40 +x +x

180-40=2x

140=2x

140/2=x

x=70

Answer:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

Step-by-step explanation:

we want to differentiate the following by using limit:

[tex] \displaystyle \frac{d}{dx} \sqrt{x} [/tex]

derivative definition by limit given by

[tex] \rm \displaystyle \frac{d}{dx} = \lim _{\Delta x \to 0} \left( \frac{f(x + \Delta x) - f(x)}{ \Delta x} \right) [/tex]

given that,

f(x)=√x

so,

f(x+∆x)=√(x+∆x)

thus substitute:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \right) [/tex]

multiply both the numerator and denominator by the conjugate of the numerator:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \sqrt{x + \Delta x}- \sqrt{x} }{ \Delta x} \times \frac{ \sqrt{x + \Delta x} + \sqrt{x} }{\sqrt{x + \Delta x} + \sqrt{x}} \right) [/tex]

simplify which yields:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ (\sqrt{x + \Delta x}) ^{2} - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

simplify square:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{ \Delta x \to 0} \left( \frac{ x + \Delta x - x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

collect like terms:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ \Delta x }{ \Delta x(\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

reduce fraction:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \lim _{\Delta x \to 0} \left( \frac{ 1 }{ (\sqrt{x + \Delta x} + \sqrt{x})} \right) [/tex]

get rid of ∆x as we are approaching its to 0

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ \sqrt{x } + \sqrt{x}} [/tex]

simplify addition:

[tex] \rm \displaystyle \frac{d }{dx} \sqrt{x} = \frac{ 1 }{ 2\sqrt{x } } [/tex]

and we are done!