You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?

Answer:

234.98

Step-by-step explanation:

in class notes

Answer:

1:2.25

12/12 = 1

27/12 = 2.25

Hope this helps!

Answer:

the distance is called the circumference

Answer:

DE = AE - AD

=> DE = 18.5 - 15.5 = 3

CD = CE - DE = 8 - 3 = 5

Answer:

Step-by-step explanation:

11:30-9:30=2

so Danielle starts 2 hrs late.

let Danielle catches them after x hrs.

x×60=(x+2)×20

divide by 20

3x=x+2

3x-x=2

2x=2

x=1

so Danielle takes 1 hour to catches them.

Answer:

time=16.3 sec

Step-by-step explanation:

let time taken be x

speed=distance/time taken

2.75=45/x

2.75x=45

x=45/2.75

x=16.36

x=16.3 seconds

The time taken is 16.3 seconds.

Speed = Distance/Time

This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.

Let x be the time taken

speed = distance/time taken

2.75 = 45/x

2.75x = 45

x = 45/2.75

x = 16.36

x = 16.3 seconds

Therefore, the time taken is 16.3 seconds.

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Answer:

X = 17

Step-by-step explanation:

If you created equivalent expressions with equal bases that should be the answer.

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Answer:

y = -2x - 3

Step-by-step explanation:

A standard equation written in slope-intercept form looks like this:

y = mx + b

m is the slope and b is the y-intercept.

First let's identify the y-intercept.

This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.

y = mx - 3

Now let's find the slope.

This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.

We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.

To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.

rise: 2

run: -1

rise/run = 2/-1 = -2

-2 is our slope.

y = -2x - 3

This is your equation.

Hope this helps!

Answer:

8

Step-by-step explanation:

7 x 8 = 56 56 - 4 = 52.

3 x 8 = 24 24 + 28 = 52

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

Answer:

0.0152 probability

Step-by-step explanation:

first there are 12 marbles: odds are 2/12 = 1/6

Then, there are 11 marbles: odds are 1/11

So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152

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Answer:

Lauren tutors 42 students in total

Step-by-step explanation:

She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42

Hope it helps:)

Answer: [tex]\dfrac{6}{26}[/tex]

Step-by-step explanation:

Given

Denominator is 4 more than twice its numerator

Suppose the numerator is x. So, it follows above condition, fraction becomes

[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]

If both numerator and denominator are reduced by 6, they become equal

[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]

The fraction is

[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]

Answer:

x=4

AB=19

Step-by-step explanation:

in such a parallelogram the length of AD must be equal to the length of BC.

=>

18x = 17x + 4

x = 4

AB = 4x + 3 = 4×4 + 3 = 19

Step-by-step explanation:

5(4× - 2)

5x4=20

5×2=10

Answer = 20x - 10

Answer:

20x-10

Step-by-step explanation:

Simply multiply.

5 × 4X = 20X

5× -2 = -10

Combine both

20X - 10

Answer:

The volume 27.

The volume of a cube:

Volume = side³

The volume of a cube with side 3 units is 27 cubic units.

It is a polygon having six faces.

The volume of a cube:

Volume = side³

Example:

The volume of a cub with a side length of 2 cm is 8 cubic cm.

We have,

Side = 3 units

Volume = Side³

Volume:

= 3³

= 3 x 3 x 3

= 27 cubic units

Thus,

The volume of a cube with side 3 units is 27 cubic units.

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Answer:

Step-by-step explanation:

it has a 50/50 chance if it lands on tailes it is 50/50

Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%

Step-by-step explanation:

Let x denotes the height of male students.

As per given,

[tex]\mu=158,\sigma=5[/tex]

The probability of male students who are between 145 cm and 170 cm

= [tex]P(145<X<170)[/tex]

[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]

Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%

Answer:

I=use PTR/100

ii =p+i

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

y=a√x

y/a=a√x/a a will cancel out on the right side of the equation

therefore, √x=y/a

x=√y/x

X = 21

Y = 30

X:

(3x - 15) + (6x + 6) = 180 -- combine like terms

9x - 9 = 180 -- add 9 to both sides

9x = 189

x = 21

Y:

Plug x into 3x-15

3(21) - 15 = y + 18

63 - 15 = y + 18

48 = y + 18 -- subtract 18 from both sides

y = 30

Answer:

x = 12.2

Step-by-step explanation:

to solve for 'x', we can use the sine ratio of opposite/hypotenuse

we need to find the angle opposite side 'x', which can be found by:

180-(44+90) = 46

sin46° = x/17

x = 17·sin46°

x = 12.2

Answer:

c. the solution is 3 times as large as 5x(465x4)

Step-by-step explanation:

I assume you are using the letter x as the multiplication sign.

Start with:

15 x (465 x 4)

We know that 15 = 3 x 5

Now we replace 15 with 3 x 5 in the original expression.

15 x (465 x 4) = 3 x 5 x (465 x 4)

Answer: c. the solution is 3 times as large as 5x(465x4)

Answer:

Step-by-step explanation:

It's a cubic.

It has 1 root that cuts the x axis at x = -4

It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.

y = (x + 4) (x - 3)(x - 3)

Notice the sign change. x has to have sign change when going from a root to a binomial

The root is - 4. The binomial is (x + 4)

The same argument works for x = 3