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Sophie deposited money into an account in which interest is compounded semiannually at a rate of 3.7%. She made no other deposits or withdrawals and the total amount in her account after 15 years was $12,158.10. How much did she deposit?

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Answers

Answer 1

$7,015.11

total money accrued : $12,158.10years :  15 years rate of interest : 3.7%deposited : A

Depth meanings:

P is deposited moneysemiannually : 2 times in a yearA is received or acquired moneyt is time in yearsr is rate in percentage

[tex]\sf P = \dfrac{A} { (1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{3.7\%}{2})^{(2)(15)}}[/tex]

[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{0.037}{2})^{(2)(15)}}[/tex]

[tex]\rightarrow \sf P = 7015.113646[/tex]


Related Questions

Please help 8, 9, and 10 you don't need to explain

Answers

Answer:

8.

x

12

9

4.5

9.

3, 4, 12

3, 3, 12

6, 12

-6, -12

2

10.

plug in x to check work

Step-by-step explanation:

8.

1/2(x + 24) = 21

1/2x +12 = 21

1/2x = 9

x = 18

9.

28 - 3x - 4 = 2x + 12 + x

24 - 3x = 3x + 12

24 - 6x = 12

-6x = -12

x = 2

10.

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6

-2x - 12 = -6

-2x = 6

x = -3

hope it help.

can you answer my question, i can help you in math, can you help me in english? please

Which expression is equivalent to the following complex fraction?

Answers

Answer:I think it might be D but i'm not 100% sure

-3(10)
Simplify
[Multiplication with integers]​

Answers

Answer:

[tex]\boxed{\sf{-30}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is solve by order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

-3(10)

First, remove parenthesis.

Multiply.

-3*10

Solve.

[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]

-30

Therefore, the correct answer is -30.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-30

Step-by-step explanation:

it is adding 10 three times, but then you add the negative after

so it is 10+10+10 because you are multiplying it by 3

you could also add 3 ten times because the communitive property

so 3+3+3+3+3+3+3+3+3+3

you would do the same whether the -3 was in parentheses or not

can anyone pls answer dis math problem

Answers

Answer:

the answer would be  3x^2 + 29x + 6/15x(x+2)

Adrian is 3 times as old as Anisah now. 4 years ago,Adrian was 28 years older than Anisah . How old will Anisah be in years' time?

Answers

Lets have Anisah be x right now.

4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.

Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)

x+24=3x-4
24=2x-4
28=2x
x=14

Right now Anisah is 14, and in 4 years he will be 14+4 = 18.

HELP ME OUT PLS!!!!!

Solve for x.

A) -30

B) -6

C) 6

D) 30​

Answers

Step-by-step explanation:

-3x + 6 = 2x - 24

6 = 5x - 24

30 = 5x

x = 6

Which field is required when importing vendors

Answers

Import field: Tax Identification Number, Tax Number for Customers or Vendors. Tax Identification Number (customers) or Tax ID Number (vendors).

Write an equation of the line in the slope-intercept form from each of the following. the y-intercept of 2, the slope is 4

Answers

Answer:

y=4x+2

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 2, and a slope of 4

We want to write the equation of that line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.

First, substitute 2 as the y intercept (b)

y=mx+2

Now substitute 4 as the slope (m)

y=4x+2

We have found the equation of the line.

Hope this helps!


See more on this subject here: https://brainly.com/question/12232875

Find five numbers so that the mean, median, mode and range is 4.

Answers

Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

14 + d /5 = 4

2.2 + d = 4

1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

1, 1.8, 4, 4, 5

Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

2, b, 4, 4, 6

Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

How many cubes with the side lengths of 1/2 cm does it take to fill the prism? 1 x 2 x 3/2 as the measurements.

Answers

Answer:

24

Step-by-step explanation:

Volume to fill =  1 x 2 x 3/2 = 3  cm^3

Volume of cube to fill this volume  1/2 * 1/2 * 1/2 = 1/8 cm^3

3/ (1/8) = 24

HELP PLEASE ITS DUE TODAY

Answers

3rd option.

The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.

In how many ways can you spell the word FOOT in the grid below? You can start on any letter F, then on each step you can step one letter in any direction (up, down, left, right, or diagonal).

Answers

There are six ways in which the word FOOT may be spelt starting at any letter.

What is combination?

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 *  1

4C2 = 12/2

4C2 = 6

Learn more about combination: https://brainly.com/question/25351212

Which of the following polynomials has solutions that are not real numbers?
A
x2 - 6x +3
B
x2 + 4x +3
-*? - 9x - 10
x? + 2x +3

Answers

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Step-by-step explanation:

Consider an experiment of tossing an unbiased coin three times. What is the probability of obtaining four heads?​

Answers

Answer:

0.0625

Step-by-step explanation:

the probability of getting 4 heads in a row is 0.5^4

answer is 0.0625 or 1/16

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x+1/3=1/2x+5
2
3
6
12

Answers

Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation:

What is the volume of this object?

PLSSS HELP RIGHT ANSWER BRAN;EST

Answers

Answer:

23 cubic units

Step-by-step explanation:

1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units

8+7+5+3 = 23
See the attachments below


Hope this helps :)

Write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that have the following solution sets:
two solutions: x=1/2, x=-1/3
one solution: x=-3
all numbers such that x≤5
all numbers that x ≥-1.3

anything helps!

Answers

All cases rewritten in the form of difference expressions are listed below:

x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0How to translate equalities and inequalities into difference expressions

Equalities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:  

x - a = 0   (1)

And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:

x - a = b   (2)

Where b have the following cases:

If x < a, then b < 0.If x > a, then b > 0.If x ≤ a, then b ≤ 0.If x ≥ a, then b ≥ 0.

Now we proceed to rewrite each case in term of difference expressions:

x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0

To learn more on inequalities, we kindly invite to check this verified question: https://brainly.com/question/19491153

Briana has 3/4 pound of rabbit food. She feeds her rabbit 1/12 pound each day. How many days can Briana feed her rabbit with the food she has?

Answers

The answer is 9 days. I have attached my working with it. Hope this helps!
Answer: 3 pounds

Hope this helps you!

help and walk me thru pleasee

Answers

Answer:

Your answer is 63

Step-by-step explanation:

First lets find the area of the rectangle:

To find the area of a rectangle your multiply the length by the width.  In this case it is 5 and 9 so..

5 x 9 = 45

Now to find the area of the triangle:

Formula for triangle: 1/2(bh)

9 is your height to find the base subtract 5 from 9:

9 - 5 = 4

Now divide that by 2:

4 / 2 = 2

2 is your base

Now we know the base and height solve:

1/2(2 x 9)

1/2(18)

18 / 2 = 9

multiply 9 by 2

9 x 2 = 18

Now add your areas to find the final area:

45 + 18 = 63

Determine the equation of a Linear Function with a negative slope, goes through the point (0,5), and has a hole at x = -1

Answers

Answer:

[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.

What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people

Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel

Answers

Two people, Anne and Charlie.

Statistics

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

Learn more about statistics in brainly.com/question/8058700

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

180-135=45

Step-by-step explanation:

the angles should total 360.

the opposite angle R is 135 and is equal to P

S is equal to Q so that can help

ik it's a bit Blurry but Can someone help me Please best answer will be brainliest<33​

Answers

The answer to this question is A

Describe and correct the error in using the percent proportion to answer the question below
“6 is 6.25% of what number”

Answers

Using proportions, it is found that the error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that 100% = 1 of the number is w, while 6 is equals to 6.25% = 0.0625. Hence the rule of three is given by:

1 - w

0.0625 - 6

Applying cross multiplication:

0.0625w = 6.

w = 6/0.0625

w = 96.

The error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.

More can be learned about proportions at https://brainly.com/question/24372153

Write the word sentence as an inequality.


1. A number x divided by 3 is at most 5

An inequality that represents this word sentence is ____ .

Answers

Answer:

[tex]\boxed{ \dfrac{x}{3} \leq 5}[/tex]

Explanation:

A number {x} {divided by} {3} is {at most} {5}.

                  ↧          ↧             ↧            ↧         ↧

                  x          ÷             3                    5

[tex]\text{Inequality formed} \rightarrow \boxed{ \dfrac{x}{3} \leq 5}[/tex]

Answer:

[tex]\sf \dfrac{x}{3}\leq 5[/tex]

Step-by-step explanation:

x divided by 3 = x/3

at most 5 means "equal or less than 5" =  ≤ 5

Final solution

[tex]\sf \dfrac{x}{3}\leq 5[/tex]

------------------------------------------------------------------------------------------------

Extra information

Alternative ways of writing the inequality:

x ÷ 3 ≤ 5

[tex]\sf \dfrac13x\leq 5[/tex]

a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize

Answers

Answer:

£120

Step-by-step explanation:

96 divided by 4=£24

1=£24

24+96=120

Find the area of the parallelogram.
3 cm
5 cm

Answers

Answer:

Area = Base ×Height

Step-by-step explanation:

Area = Base × Height

Area = 3cm × 5cm

Area = 15cm

Area of the parrallelogram is 15cm

in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?

Answers

Answer:

800ml

Step-by-step explanation:

solution A= 2% alcohol

solution B=7% alcohol

1200ml=1.2L

1200ml=1200cm^3

X= solution B

solution A + solution B=(1200+x)cm^3

% alcohol= amount of alcohol/total solution(AorB)×100

☆in 1200ml of solution A there's

0.02x1200

2x12

=24ml of alcohol (in 1200ml of solution A)

0.07x X

=0.07Xml of alcohol (in some ml of solution B)

(24+0.07X)ml of alcohol in = solution A and solution B

solution A + solution B= 1200+X

0.04 (1200+X)=24+0.07X

48+0.04X=24+0.07X

48-24=0.07X-0.04X

24=0.03X

X=800ml

The perimeter of the triangle at the right is 22.6 in. What is the value of n?
A. 3.5
B. 4.6
C. 7.8
D. 9.4

Answers

Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

Magan has a bag that contains pineapple chews, cherry chews, and lime chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment 68 times. The results are shown below:
A pineapple chew was selected 59 times.
A cherry chew was selected 3 times.
A lime chew was selected 6 times.

Based on these results, express the probability that the next chew Magan removes from the bag will be cherry chew as a decimal to the nearest hundredth.

Answers

Answer:

The Answer is 0.04

Step-by-step explanation:

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