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

Answers

Answer 1

Answer:

2038.51

Step-by-step explanation:

Compound interest formula:

[tex]FV=PV(1+\frac{i}{n})^{n*t}\\2229=PV(1+\frac{.03}{2})^{2*3}\\2229=PV(1.093443264)\\2037.514547=PV[/tex]


Related Questions

Determine the slope of the line that passes through the points (-4,-2) and (3,1).

Answers

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  :/

difference between the place values of 2 is in 4242​

Answers

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]

I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5

Answers

Answer:

B. -1/5

Step-by-step explanation:

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

If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.

Answers

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

Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = x + 4 Select the solution(s) of the original equation.

Answers

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:

Please hel p me. !!!!!!!

Answers

Answer:

7,3921

Step-by-step explanation:

At the end of each day of a bowling competition, half of the bowlers are eliminated until a winner is determined. There are 320 bowlers on day 1 of the competition. Which equation represents the number of bowlers, y, on the day x of the competition

Answers

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:

Y: the number of bowlersX: on the day320 bowlers

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

find the length of the hypotenuse of a right triangle if a=6 and b=10

Answers

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

WILL


GIVE


BRAINLIST



FIND THE OPPOSITE OF THE NUMBER


21

Answers

Answer:

it's

-21

or 12

which one you mean

There are 25 pineapples in a basket. Each pineapple weighs 100 grams. What is the total weight off all the pineapples in the basket? Please use complete sentences when answering the question.

Answers

The total weight is 2500 grams. 25 x 100 = 2500

The area of a square is 144 in.2
What is the length of one side of the square?

Answers

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.

Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.

ANSWER: A

Answers

I agree with answer a

Answer:

a

Step-by-step explanation:

just took it!

can someone help explain this problem

Answers

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

Which sentence has the quotation marks placed correctly ?

1.) “Mother ," I cut my finger , said Jane.

2.) "Mother, I cut my finger," said Jane.

3.) Mother, I cut my finger, "said Jane."

4.) "Mother, I cut my finger, said Jane."

Answers

“Mother”, I cut my finger, said Jane.
Option 2 is correct.

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).

Answers

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]

Factor 4x2 - 1.

A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)

Answers

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 !

In a rational function, what must be true for the graph to have a horizontal asymptote at
y = 0.

Answers

Answer:

m = 0

Step-by-step explanation:

Suppose two rectangles have the same area. Must they have the same length and width? Explain.​

Answers

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.

Find the volume of a sphere with a diameter of 6.2 in.

Answers

Answer: its 23 meters

Step-by-step explanation:

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

What is the volume of the sphere?

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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can I get help with this 3m⁵ x 3m⁷​

Answers

The answer is 9m^12

2. Katelyn flips a coin and rolls a standard 6-sided die. What is the probability that she
flips tails and rolls a 3?
1/2
1/4
1/8
1/12

Answers

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.

The perimeter of a triangle is 64 in. The longest side is 14 in. Longer than the medium side, and the medium side is 7 in. more than the shortest side. Find the length of each side of the triangle

Answers

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 #

At a local plant sale, Janice was selling Golden Barrel Cactus plants and baby Saguaros. During the sale, she sold 5 times as many Saguaros ($6 each) as Golden Barrels ($10 each). She made a total of $720 during the plant sale. How many Saguaros did Janice sell? A. 18 B. 40 C. 72 D. 90

Answers

Step-by-step explanation:

The answer is D 90

Answer:

5. Match each description with the correct equation below. Then solve the equation.
a) When 4.26 is added to a number, the sum is 17.04.
b) The product of 4.26 and a number is 17.04.
c) When a number is doubled and 4.26 is subtracted, the result is 17.04.

4.26n = 17.04 2n − 4.26 = 17.04 n + 4.26 = 17.04

Answers

Answer:

.

Step-by-step explanation:

No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68

Answers

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

What is standard error?

"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

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Find the median and mean of the data. Which reflects the best measure of the center?
43, 38, 37, 57, 57 58, 45

Answers

Mean: add all of the values together and then divide by the number of values
mean= 47.857

Median: like up the numbers least to greatest and then find the number in the middle. if there is an even number of values, take the average of the two middle values
median= 45

The mean reflects the beet measure of the center.

Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .


The probability that Chloe chooses a blue pencil and then a red pencil is


The probability that Chloe chooses the yellow pencil and then a blue pencil is


No links please :)

Answers

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

Please solve and I will give brainliest!

Answers

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

sine is positive in
Your answer:
o the 1st and 2nd quadrants
O the 1st and 3rd quadrants
o the 1st and 4th quadrants
o the 2nd and 3rd quadrants
Please help

Answers

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.

Solve:

22,064 ÷ 394=

Answers

Answer: 56

394 goes into 22064 56 times.

Answer:

0.056

The Answer is 56!!!!

Step-by-step explanation:

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