At a fixed interest rate, an investment of $4000 earns $210. How much do you need to invest at the same rate to earn $336?

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

y+4=-2(x-2) or

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Answer:

Heather

Step-by-step explanation:

If you use pythagorean theorm you can set up the equations for each girl.

For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.

Answer:

The answer is C. 35/37

Step-by-step explanation:

We know that cos Θ = adjacent/ hypotenuse

so the answer is 35/37.

Answer:

it's I believe it's (A) 12 / 37

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Answer:

The IQR (interquartile range) of the data set represented by this box plot is 22 units.

Step-by-step explanation:

Each number of the data set represented as a box plot is something the numbers have individually. The lowest number there (the first number), 38, is called the minimum. The highest number there (the last number), 75, is called the maximum. The second number there, 45, is called the lower quartile. The third number there, 50, is called the median or middle quartile. The fourth number there, 67, is called the higher quartile. In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.

67 (highest quartile) - 45 (lower quartile) = 22 (interquartile range)

Therefore, the IQR (interquartile range) of the data set represented by this box plot is 22 units.

Answer:

It’s 22

Step-by-step explanation:

Answer:

[tex]b. (x + 10)(x + 1)[/tex]

[tex] {x}^{2} + 11x + 10[/tex]

[tex]x(x + 10) + x + 10[/tex]

factor out x from the expression

[tex]x(x + 10) + x + 10[/tex]

factor out x +10 from the expression

[tex](x + 10)(x + 1)[/tex]

then its the answer

i hopenit helps , even though it was just my.....own opinion .....answer

Answer: A) -7 + 2.5

Step-by-step explanation:

- and - makes +, which makes -(-2.5) a +2.5

Answer:

simple interest = $525

total amount = $ 2025

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

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Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

Answer:

A

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer: A Bank Statement

Step-by-step explanation:

used to own bank account

Answer:

Step-by-step explanation:

Today's calculators have statistical functions built in.

A.  Here we use:

normalcdf(10,310,205,35), WHICH returns 0.999.

B.  normalcdf(135,275, 205,35) = 0.954

C.  normalcdf(240, 10000, 205, 35) = 0.159

Answer:

0.788

Step-by-step explanation:

Sin 52° = 0.788

Therefore

Cos 38° Is 0.788

The approximate value for 38° is 0.788

Answer:

D. 18

Step-by-step explanation:

12.50 x 18 = 225

hope it helps :)

Answer: Low

The overlap of data set 1 and data set 2

Answer:

Answer is in the pic I promise nothing bad

Step-by-step explanation:

In scientific notation, the number 6,267,000 is expressed as 6.267 × 10⁶, where the coefficient is 6.267 and the power of 10 is 6.

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The first step is to move the decimal point to the right or left so that only one nonzero digit remains to the left of the decimal point. In this case, we can move the decimal point six places to the left, as follows:

6,267,000 ⇒ 6.267000

Since we moved it six places to the left, the power of 10 will be positive 6.

Finally, we write the number in scientific notation using the coefficient and the power of 10:

6.267000 × 10⁶

6.267 × 10⁶

In scientific notation, the number 6,267,000 is expressed as 6.267 × 10⁶.

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Answer:

the LCM of those would be 15.

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

Answer:

$2.50

Step-by-step explanation:

5 x 1/2 =

5/2 =

2 1/2

each half is .50

Answer:

2.5$ ( 2 Dollars And 50 Cents )

Step-by-step explanation:

Since your dividing the amount of beef by 2 , you also have divide the cost by 2 . 5$ divided by 2 is 2.5$ .

Answer:

35 / 7 = 20 / 4

Step-by-step explanation:

20 / 4 equals to 5

35 / 7 equals to 5

Answer:

Function B

Step-by-step explanation: