How much principal must be deposited to have a balance of $2,229,
compounded semiannually at 3% for 3 years?

Answer:

Step-by-step explanation:

ax² + 7x + b

Substituting 2/3 in equation

4a/9 + 14/3 +b = 0

4a/3 + 14 + 3b = 0

4a + 42 + 9b = 0 ------> (i)

Substituting -3 in equation

9a - 21 + b = 0

81a - 189 + 9b = 0 ------> (ii)

Elimination method

a = 3

substituting in any equation

b = -6

Answer:

A) P(chooses a blue pencil and then a red pencil) = 5/27

B) P(chooses yellow then blue) = 5/81

Step-by-step explanation:

She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack

Thus;

total number of pencils = 3 + 5 + 1 = 9 pencils

A) probability that she chooses a blue pencil and then a red pencil;

P(blue) = 5/9

Now she puts it bag after choosing which means the sum is back to 8 pencils.

Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3

Thus;

P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3

P(chooses a blue pencil and then a red pencil) = 5/27

B) probability that Chloe chooses the yellow pencil and then a blue pencil;

Similar to A above;

P(yellow) = 1/9

P(blue) = 5/9

P(chooses yellow then blue) = 1/9 × 5/9

P(chooses yellow then blue) = 5/81

Answer:

HK=66°

Step-by-step explanation:

Based on the diagram, we know the two sides of the arcs are equal.  So we set up an equation that solves for x, then plug it back into one of the sides, and double it.

x+20=6x-45

65=5x

x=13

x+20=33

33x2=66

Answer:

Step-by-step explanation:

6^2 + 10^2 = c^2

36+100 = c^2

136 = c^2

square root both sides

c = square root 136

Answer: A) (2x+1)(2x−1)

How to: Since both terms are perfect squares, factor using the difference of squares formula,

Have a great day and stay safe !

Answer:

it's

-21

or 12

which one you mean

Answer:

-7

Step-by-step explanation:

2(x+4)-3(x+4)-3=0

2x+8-3x-12-3=0

-x+8-15=0

-x-7=0

 +7  +7

-x=7

/-1  /-1

x=-7

--

hope it helps

Answer:

B and D buster

Step-by-step explanation:

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

4242

2 = 200 ( 2 is in hundred's place )

4242

2 = 2 ( one's place )

Difference = ?

[tex] = 200 - 2 \\ = 198[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

a

Step-by-step explanation:

just took it!

Answer:

Step-by-step explanation:

Stephanie,  so many people ask questions about this type of problem,  I think the teachers don't know how to explain these at all.  Ask your teacher if I can have some of their salary :)  I have to explain this to that many people..  :0

given"

point P1 (-4,-2)  in the form (x1,y1)

point P2(3,1)  in the form (x2,y2)

slope = m

formula for slope is:

m = (y2-y1) / (x2-x1)

m = (1-(-2) ) / (3 - (-4))

m = (1+2) / (3+4)

m = 3 /7

That's your slope,  ask if you need more explanation,  I'm really curious about why this type of problem causes so many questions  :/

Answer:

sin is only positive in 1st and 2nd quadrants

Step-by-step explanation:

As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.

Remember that sine is y while cosine is x.

Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.

Q1 and Q2 both are positive while Q3 and Q4 are negative.

Answer:

B. -1/5

Step-by-step explanation:

To find the slope we place (0-1) over (4- (-1))

Answer:

.

Step-by-step explanation:

Step-by-step explanation:

The answer is D 90

Answer:

Answer:2

0

+

1

0

Step-by-step explanation:

Answer:

question 1: 10 + 20f

question 2: 164,340

Step-by-step explanation:

question 1:

10(1 + 2f)

(10 x 1) + (10 x 2f)

10 + 20f

question 2:

120n + 160,500 n =32

120(32) + 160,500

3,840 + 160,500

164,340

Answer:

longest side =33

medium side =19

shortest side = 12

Step-by-step explanation:

Let medium side be x

then longest side =14 +x

shortest side = x-7

we know that ,

perimeter =sum of all side

or, 64 = 14+ x + x + x -7

or, 64 - 7 = 3x

or, 57 = 3x

or, 57÷3 = x

or, x = 19

then

medium side =x = 19

longest side =x+14 =33

shortest side = x- 7 = 12 #

Answer:

Step-by-step explanation:

Y= 320(1.5)^x-1

In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:

[tex]Y=320(0.5)^X-1[/tex]

Some data were informed in the text for this equation to be written, so:

Now writing the equation representing the given information is:

[tex]Y=320(0.5)^X-1[/tex]

See more about equation at  brainly.com/question/2263981

Answer: 56

394 goes into 22064 56 times.

Answer:

0.056

The Answer is 56!!!!

Step-by-step explanation:

Answer:

m = 0

Step-by-step explanation:

Answer:

7,3921

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.

Answer:

12 inches

Step-by-step explanation:

Find the square root

144² ÷ 2 = 12

Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.

Answer:

[tex]y = 18*4^x[/tex]

Step-by-step explanation:

We want an exponential equation in the following format:

[tex]y = ab^x[/tex]

Point (0,18):

This means that when [tex]x = 0, y = 0[/tex]. So

[tex]y = ab^x[/tex]

[tex]18 = ab^0[/tex]

[tex]a = 18[/tex]

So

[tex]y = 18b^x[/tex]

Point (2,288):

This means that when [tex]x = 2, y = 288[/tex]. So

[tex]y = 18b^x[/tex]

[tex]18b^2 = 288[/tex]

[tex]b^2 = \frac{288}{18}[/tex]

[tex]b^2 = 16[/tex]

[tex]b = 4[/tex].

So

[tex]y = 18*4^x[/tex]

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

To know more about standard error here

https://brainly.com/question/13179711

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Answer: its 23 meters

Step-by-step explanation:

The volume of a sphere with a diameter of 6.2 in is 39.72π

The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.

The radius of the sphere is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]

The volume of the sphere is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]

Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.

Learn more about sphere here;

https://brainly.com/question/9994313

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Answer:

1/2 because a coin is a 50/50 % chance of both sides

Answer:

1/12

Step-by-step explanation:

It says that she flips a coin and a dice. So you do 2x6=12. And you get 1/12. Sorry if the explanation doesnt make sense.