Haley invested $750 into a mutual fund that paid 3.5% interest
each year compounded annually. Find the value of the mutual
fund in 15 years.

Answer:

Step-by-step explanation:

Let X be the initial price in March 2004.  

Let X'  be the price for March 2005.

Let X" be the price for June 2005.

March 2005:  The price was reduced by 20%.  Thus, X' = 0.8X

June 2005:  The price was reduced by 1/6 of the March 2005 price:  Thus,

    X" = X' - (1/6)X'

Substituting, we have X" = (0.8X) - (1/6)(0.8X)

X" = (0.8X) - (1/6)(0.8X)

X" = (0.8X) - (0.1333X)

X" = 0.6667X

The June 2005 price is 0.6667 of the 2004 price.  That's a (1-0.6667) or 33.33% reduction.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

Answer:

step 6 has an algebraic error

Answer: answer in attachment.

Answer:

Hindi ko na to I answer may nag answer na e

Explanation:

basta brainlest mo ako

Answer: 20%

Step-by-step explanation:

200 -> 160

160/200

= 0.8

1 - 0.8

= 0.2

There was a 20% decrease in attendance.

Answer:

r ≈ 7.963 cm

Step-by-step explanation:

Given the following dimensions of a cylinder:

Volume (V) = 3785 cm³

Height (h) = 19 cm

In order to find the value of the radius, it is necessary to determine the formula for finding the radius of a cylinder.

The formula for finding the volume of a cylinder is:  V = πr ²h

To isolate the radius, start by dividing both sides by π × h :

[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:\frac{\pi\:r^{2}\:h} {\pi\times\:h}}[/tex]

[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:r^{2}}[/tex]

Next, take the square root of both sides to isolate r :

[tex]\mathsf{\sqrt{\frac{V}{\pi\times\:h}} = \sqrt{r^{2}}}[/tex]

[tex]\mathsf{\:r\:=\:\sqrt{\frac{V}{\pi\times\:h}}}[/tex]

Now, we can finally substitute the given values into the formula for radius, r:

[tex]\mathsf{\:r\:=\:\sqrt{\frac{3785}{\pi\times\:19}}}[/tex]

r ≈ 7.963 cm

Therefore, the radius of the cylinder is 7.963 cm.

Answer:

He begun with 48.

Step-by-step explanation:

48/2 = 24

24+17 = 41

Answer:

46

Step-by-step explanation:

I subtracted 17 from 41 and got 23 so if you add 23 by 23 half you get 46, so in turn Cody started out at 46.

Answer:

243

Step-by-step explanation:

Simplify

27^2 / 3

729 divided by 3

= 243

Answer:

x = -201/80

Mixed form: x = -2 41/80

Step-by-step explanation:

Value of x =  [tex]-2\frac{1}{4}[/tex]

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Examples: (y²x² + 2xy – y)/(x – 1) = 12.

Given, equation

[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]

⇒4/5[(10x-3)/10] = -9/4

⇒2/5[(10x-3)/5] = -9/4

⇒(20x-6)/25 = -9/4

⇒80x - 24 = -225

⇒80x = -225 + 24

⇒x = -201/80

⇒x = -2.5125

⇒x = [tex]-2\frac{1}{4}[/tex]

Hence, the value of x in simplest mixed number is    [tex]-2\frac{1}{4}[/tex]

Learn more about algebraic equation here:

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Answer:

k= 1/4 m=16

Step-by-step explanation:

7 over 28 is 1/4 and 4 times 4 is 16

Answer:

177 total cups

Step-by-step explanation:

13×3=39 sugar

34×3=102 flour

12×3=63 milk

total 177

Answer:

36

Step-by-step explanation:

33.33333...% is 1/3 of a number

1/3 of 36 is 12

12(3)=36

Answer:

25

Step-by-step explanation:

Because when you add all the cost and divide by the amount of tickets you get 25

Answer:

-16u+32x−48

Step-by-step explanation:

(6-4x+2u)(-8)

Rearrange terms.

(2u-4x+6)(-8)

Re-order terms so constants are on the left.

-8(2u-4x+6)

Distribute.

-16u+32x−48

Hope this helps :)

The answer to that one is C

First we need to solve the inequality

[tex]\\ \sf\longmapsto 2x-8<4x+5[/tex]

[tex]\\ \sf\longmapsto -2x=13[/tex]

[tex]\\ \sf\longmapsto x=-\dfrac{13}{2}[/tex]

[tex]\\ \sf\longmapsto x=-4\dfrac{3}{4},6.5[/tex]

Answer:

b. LMN

Step-by-step explanation:

The angle opposite to the largest side is the largest angle, which means that angle MLN is the largest angle. Hence, option D is correct.

Two lines converge at a location, creating an angle. An "angle" is the term used to describe the length of the "opening" between these two rays. The letter is used to represent it. Angles are frequently expressed in degrees and radians, a unit of roundness or rotation.

The given lengths of the sides are,

LM = 13

MN = 17 and LN = 10

Then, the angle which is opposite to the side MN will have the greater angle then angle MLN has the greater angle.

To know more about Angles:

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Answer:

X = 17

Step-by-step explanation:

Mid segment theorem: the segment joining the midpoints of two sides of a triangle is half the length of the third side.

Answer:

x = 90

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{BC}{NE}[/tex] = [tex]\frac{AB}{TN}[/tex] , substitute values

[tex]\frac{3}{27}[/tex] = [tex]\frac{10}{x}[/tex] ( cross- multiply )

3x = 270 ( divide both sides by 3 )

x = 90

Answer:

your answer would be 9

Step-by-step explanation:

please mark this as brainlists

Answer:

9

Step-by-step explanation:

Because you do subtract 3 on both sides then divide 5x by 5 and 45 by 5

Answer:

The average is exactly 26,375 gallons of gas per hour.

How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.

Step-by-step explanation:

This is how much gas the jet uses per 1 hour

my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.

Answer:

EEEEZZZZZ     6.708203933

Step-by-step explanation:

Answer:

6√2

12

Step-by-step explanation:

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:

Let's solve

[tex]\\ \sf\longmapsto 2x^2+7x-15=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{7^2-4(2)(-15)}}{2(2)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{169}}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7+13}{4}\:or \:\dfrac{-7-13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{4}\:or\:\dfrac{-20}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{3}{2}\:or -5[/tex]

Subtract

[tex]\\ \sf\longmapsto 3/2-(-5)=3/2+5=13/2[/tex]

Option B

Answer:

Option (B.)

Step-by-step explanation:

Answer in the picture.hu

Answer:

-10 OR 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total students = 6 + 6 +8 + 4 + 2 +3 + 7 + 5 = 41

Probability of a chosen student be Physics or Chemistry or both =

[tex]\dfrac{8}{41}+\dfrac{4}{41}+\dfrac{5}{41}=\dfrac{17}{41}[/tex]

Answer:

a - 6%

b - $7.50

Step-by-step explanation:

The answer for a

the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%

The answer for b

Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50