For which of these ARMs will the interest rate stay fixed for 4 years and then be adjusted every year after that?

Answer:

For number three you did everything correct.

But, number 4 it has to be equal to.

[tex]3/6=1/2[/tex]

They are equal to each other.

So just change it to an equal sign and your good.

Hope this helps

All is right, just one wrong.

3 sixths are not lesser than 1 half.

[tex]\displaystyle \frac{3}{6} =\frac{1}{2}[/tex]

3 sixths are equal to 1 half.

Answer:

16

Step-by-step explanation:

If Paula is 17, then Lindsey is 17-3 (14). Since Lindsey is 14,  Dave is 2+14 (16), so Dave is 16

Answer:

16 years old

Step-by-step explanation:

Let Lindsey's age be x.

Paula's age be x+3

Dave age be x+2

If Paula is 17.

x+3=17

x=14

x+2

(14)+2=16

Dave is 12 years old.

Answer:

431,707

Step-by-step explanation:

To figure out the total number, you need to divide the part of the whole by the percentage it is of the whole.  This means that you need to divide 35,400 by 8.2%.

Before dividing the percentage, you need to convert it to a decimal.

8.2% = 0.082

Divide the number to find the answer.

35,400/0.082 = 431,707.3

Converted to the nearest whole number, the answer is 431,707.

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

Step-by-step explanation:

Differentiate xy using the product rule, then

Given

x - y = xy

1 - [tex]\frac{dy}{dx}[/tex] = x. [tex]\frac{dy}{dx}[/tex] + y. 1 = x[tex]\frac{dy}{dx}[/tex] + y ( subtract 1 from both sides )

- [tex]\frac{dy}{dx}[/tex] = x [tex]\frac{dy}{dx}[/tex] + y - 1 ( subtract x [tex]\frac{dy}{dx}[/tex] from both sides )

- [tex]\frac{dy}{dx}[/tex] - x [tex]\frac{dy}{dx}[/tex] = y - 1 ( multiply through by - 1 )

[tex]\frac{dy}{dx}[/tex] + x[tex]\frac{dy}{dx}[/tex] = 1 - y

[tex]\frac{dy}{dx}[/tex] (1 + x) = 1 - y ← divide both sides by (1 + x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

Differentiation is a method of finding the derivative of a function.

It shows instantaneous rate of change in a function.

The given expression is,

x - y = xy

Differentiate with respect to x,

d/dx (x-y) = d/dx (xy)

Use multiplication formula for differentiation,

d/dx(ab)= a.db/dx+da/dx.b,

1 - dy/dx =  x.dy/dx + y. 1

1 - dy/dx = x.dy/dx + y

1 - y =x.dy/dx + dy/dx

1 - y = (x+1).dy/dx

dy/dx = (1-y)/(x+1)

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

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Answer:

35

Step-by-step explanation:

Area of patio = 12 x 16

                      = 192 square feet

Cost = 192 x 8

        = $1536

Answer:

184

Step-by-step explanation:

46 divided by .25

Answer:

200 Ribbons

Step-by-step explanation:

To break even Lucas needs to sell 200 ribbons --> this is because, =>

let's make an expression for this equation -->

x = amt. of ribbons

y = expense or revenue

x(0.25) = y + x(0.02)

Let's plug he given in --> 0.25x = 46 + 0.02x -->

now we can solve => x = 200

Hope this helps!

Answer:

8624.03

Step-by-step explanation:

(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)

8000+600+20+4+.03

8624.03

Answer:

8624.03

Step-by-step explanation:

8000 + 600 + 20 + 4 + .03

Answer:

The height of the triangle is 24 cm.

Answer:

The answer is B.

Answer:

D is correct answer

Step-by-step explanation:

Answer: 1.67

Step-by-step explanation:

Z = ( x - mean) / standard deviation

Z = (97-75) / 12

= 20 / 12 = 1.67

Answer:

6

Step-by-step explanation:

Because triangles ADC and ACB are similar:

[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]

The area of ABC is therefore bh/2=3*4/2=6.

Hope this helps!

I just took the test and the answer is n= 6

Answer:

n=6

Step-by-step explanation:

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete. The correct question is:

A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.

Answer:

The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:

[tex]\frac{height\ of\ frustum}{height\ of \ pyramid}=\frac{base \of\ upper\ edge}{base \of\ lower\ edge}[/tex]

Substituting:

[tex]\frac{30}{15}=\frac{10}{b} \\ b=15*10/30=5[/tex]

The volume of the frustum is given by the formula:

[tex]V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )[/tex]

Where h is the height of the frustum = 15 cm, A1 is the area of the lower base = 10 * 10 = 100 cm², A1 is the area of the upper base = 5 * 5 = 25 cm²

Substituting gives:

[tex]V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )=\frac{15}{3}(100+25+\sqrt{100*25} )= 875\ cm^3[/tex]

Answer:

that equals 5 cups

Step-by-step explanation:

40% in ounces is 5 cups

Step-by-step explanation:

If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.

Answer:

C. 4

Step-by-step explanation:

By definition y = ax +b

b is the incline with the y-axis

a = incline or gradient.

Given y = -5x + 4

By this alone you can see b = 4

Choose your answer, which is answer C.

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

Answer:

5

Step-by-step explanation:

(-1)+5-(-6)-5

Negative times negative is positive.

-1 + 5 + 6 - 5

Both 5 cancel.

- 1 + 6

Add.

= 5

Answer:

the answer is 5

Step-by-step explanation:

Answer:

jenny got 15 pair of shoes

her bro got 10 pairs of shoes

Step-by-step explanation:

Jenny: 15 shoes

Brother: 10 shoes

Answer:  see proof below

Step-by-step explanation:

[tex]\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}[/tex]

Answer:

Given: TU = US = SV

Prove: ST > SV

Step-by-step explanation:

Answer:

i hope its clear !

Answer:

5°

Step-by-step explanation:

Answer:

m=22.2

Step-by-step explanation:

By using the Pythagorean’s theorem i.e

hypotenuse^2=opposite^2+adjacent^2

Where

Hypotenuse =unknown

Opposite =18

Adjacent =13

Hyp^2=18^2+13^2

Hyp^2=324+169

Hyp^2=493

Hyp=sqrt 493

Hyp=m=22.2

Answer:

The solution of system of equations is (1 , 5)

Step-by-step explanation:  

The first equation is:

3y + 2x = 17  

The second equation is:

-x - 4y = -12  

3y + 2x = 17 :

For x = 0 , y = 5.67

For x = 1 , y = 5

For x = 2 . y = 4.33

For x = 3 , y = 3.67

For x = 4, y = 3  

-x - 4y = -21 :

For x = 0 , y = 5.25

For x = 1 , y = 5

For x = 2 . y = 4.75

For x = 3 , y = 4.5

For x = 4, y = 4.25  

Solve the system of Equations:

3y + 2x = 17  ⇒  a

-x - 4y = -21  ⇒  b

Multiply equation b by -1:

x + 4y = 21

Rearrange:

x = 21 - 4y

Substitute x into equation a:

3y + 2(21-4y) = 17

3y + 42 - 8y = 17

-5y = 17 - 42

-5y = -25

y = 5

Substitute y in equation b:

-x - 4(5) = -21

-x -20 = -21

-x = -21+20

-x = -1

x = 1

Answer:

y = -3x + 4

Step-by-step explanation:

So the -3 is the slope and the slope always has an x and the y intercept is b which is 4

Answer:

y = -3x + 4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that: m = slope

y- intercept = b

m = slope = -3

y-intercept = b = 4

Plug in the corresponding number to the corresponding variables:

y = mx + b

y = -3x + 4 is your answer.

~

Answer:

x = 198

Step-by-step explanation:

To find our unknown number, we simply use algebra:

x + 400 = 598

Subtract both sides by 400

x = 198

Answer:

To fill in the blank just subtract

[tex]598-400=198[/tex]

To check add 198 and 400

[tex]400+198=598[/tex]

So, the answer is 198

Hope this helps

(ﾉ´ヮ`)ﾉ*: ･ﾟ

Answer:

x = 8

Step-by-step explanation:

24 : x = 36 :12

36x = 24 * 12

x = 24*12/36 = 8

It’s B.

The numbers match the histogram.

The bar graph which displays the frequency table for the 30 best lifetime baseball batting averages of all time is given by graph B

Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. Sometimes referred to as a column chart, a vertical bar graph.

Discrete, continuous, or categorical data are typically organized into class intervals in bar charts. They are made up of a set of marked horizontal or vertical bars and an axis.

Given data ,

Let the bar graph be represented as A

Now , the x axis of the bar graph is represented by the class

where Class = { 0.320 - 0.329 , 0.330 - 0.339 , 0.340 - 0.349 , 0.350 - 0.359 , 0.360 - 0.369 }

And , the y axis of the graph represents the frequency of the class

where Frequency = { 1 , 14 , 12 , 2 , 1 }

Now , the graph which represents the bar graph for the following situation is graph B

Hence , the bar graph is graph B and is attached below

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