help me moderate helping me​

Help Me Moderate Helping Me

Answers

Answer 1

Problem 1

It's not clear if the person deposits at the start of the quarter, or at the end of the quarter. I'm going to assume they deposit at the end of the quarter. This means we go with an ordinary future value of annuity.

The formula we use is

F = P*( (1+i)^n - 1)/i

where,

F = future value of the accountP = payment per periodi = interest rate per periodn = number of periods

In this case,

F = 300,000P = unknown, what we want to solve fori = 0.08/4 = 0.02n = 25*4 = 100 quarters (equivalent to 25 years)

So,

F = P*( (1+i)^n - 1)/i

300,000 = P*( (1+0.02)^100 - 1)/0.02

300,000 = P*(312.232305912618)

P = (300,000)/(312.232305912618)

P = 960.823061288088

P = 960.82

You must deposit $960.82 per quarter

If you deposit that amount of money per quarter, for 100 quarters, then you deposited a total of 960.82*100 = 96,082 dollars in total.

The amount of interest is 300,000 - 96,082 = 203,918 dollars

============================================================

Problem 2

We use the same formula from problem 1. This time we know the periodic payment ($250 per month) and we want to find the value of F

More specifically, we have this given info:

P = 250i = 0.072/12 = 0.006n = 30*12 = 360 months (aka 30 years)

So,

F = P*( (1+i)^n - 1)/i

F = 250*( (1+0.006)^360 - 1)/0.006

F = 317,306.360545277

F = 317,306.36

If you deposit $250 per month, for 360 months, then you'll have $317,306.36 in the account.

This includes interest. The total amount deposited, without interest involved, is 250*360 = 90,000 dollars.

Therefore, the amount of interest earned is 317,306.36 - 90,000 = 227,306.36 dollars.


Related Questions

-7x - 3 equals 5x + 3
solve for x

Answers

The answer: x= -1/2

-7x-3=5x+3

-3=12x+3

-6=12x

-6/12=12x/12

x=-6/12
Simplify to x= -1/2

Answer:

x = -0.5

Step-by-step explanation:

-7x-3=5x+3

+7x       +7x

-3=12x+3

-3        -3

-6=12x

x=-0.5

I. Read each question carefully, then write the letter of the correct answer.
1. What is the relationship of the volume between a prism and a pyramid of the same dimensions?
A. the volume of the pyramid is 2/3 of the volume of the prism
B. the volume of the pyramid is 3/3 of the volume of the prism
C. the volume of the pyramid is 1/3 of the volume of the prism
D. the volume of the pyramid is 3/2 of the volume of the prism
2. The volume of a cone is the volume of a cylinder if both are of the same dimensions.
A. double B. thrice
C. twice
D. 4 times
3. How many cones can fill the whole sphere with the same dimension?
A. 1
B. 2
C.3
D.4
4. If the volume of a cylinder is 120 m3, what will be the volume of a cone with the same dimension?
A.180m3
B. 60 m3
C. 40 m3
D. 30 m3
5. What is the length of the edge of a cube if it has a volume of 27 cubic inches?
A. 9 in
B. 6 in
C. 3 in
D. 2 in

Answers

Answer:

The answer for number 1 is C

ppose we are testing a new shampoo to see if it makes hair grow faster. We knowthat the average rate of hair growth is 0.5 inches per month. The hypothesis are as follows:H0:m0:5vs.H1:m>0:5. Suppose that the null hypothesis is not rejected and that thereal truth is that the shampoo actually does make hair grow faster. What type of error, if any,occurred?

Answers

Answer:

Type II error occurred

Step-by-step explanation:

It is given that a new shampoo is being tested to determine whether the hair grows faster by using this shampoo.

It is known that hair grow at 0.5 inches per month at average.

The hypothesis are,

Null hypothesis, [tex]$H_0: \mu=0.5$[/tex]

Alternate hypothesis, [tex]$H_1: \mu>0.5$[/tex]

But it is known that :

Type [tex]$I$[/tex] error occurs when rejecting the null hypothesis when the null hypothesis is true actually.

Type [tex]$II$[/tex] error occurs [tex]\text{when we fail reject the null hypothesis}[/tex] when the null hypothesis is actually false.

Now here since the null hypothesis is not been rejected, type  [tex]$II$[/tex] error had occurred.

You deposit $10,000 in an account that pays 4.5% interest compounded quarterly. Find the future value after one year. ​

Answers

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

Answer:

After 1 year, $10,457.65

Step-by-step explanation:

P = $ 10, 000

r = 4.5% = 0.045

T = 1 year

n = 4 ( compounded quarterly )

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

         [tex]= 10000( 1 + \frac{0.045}{4})^{4 \times 1}\\\\=10000 \times 1.01125^{4}\\\\= 10000 \times 1.04576508633\\\\= 10457.6508633\\\\= \$ 10, 457.65[/tex]

bine like terms.
7 – 64 – 5x3 – 1 + x3 – 7 – 2y
PLS HURRY

Answers

Answer:

-4x³ - 8y - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

7 - 6y - 5x³ - 1 + x³ - 7 - 2y

Step 2: Simplify

[Addition] Combine like terms (x³):                                                                  -4x³ + 7 - 6y - 1 - 7 - 2y[Subtraction] Combine like terms (y):                                                              -4x³ - 8y + 7 - 1 - 7[Subtraction] Combine like terms:                                                                   -4x³ - 8y - 1

please help steps thx

Answers

Answer:

240 cubic metres

Step-by-step explanation:

I'm not really sure for Q17 but I do know Q18.

Q18. Volume of cuboid = Length×Breadth×Height

=12×4×5

=240 cubic metres

hope it helps!!!

Trong một lớp học có 50 sinh viên. Hỏi có bao nhiêu cách bầu ra một ban cán sự lớp gồm 3 người: 1 lớp trưởng, 1 lớp phó, 1 bí thư và không kiêm nhiệm chức vụ.

Answers

Answe

SI Si olla amigo lel just spammin here

Step-by-step explanation:

Simplify this algebraic expression.
Z-4/4+8
O A. Z+7
O B. z+ 9
O c. z-3
O D. Z-7

Answers

Answer:

Z +7

Step-by-step explanation:

Z-4/4+8

Divide first

Z -1 +8

Add and subtract

Z +7

What are the 2 \ 3 parts of a right angle in a whole wheel?​

Answers

Answer:

[tex]\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} \ of \ a \ right \ angle \ = \frac{2}{3} \times 90^{\circ} = 60^{ \circ}\\\\A \ whole \ wheel \ is \ = 360^ {\circ}\\\\[/tex]

Now to find what part of 360 is 60 :

[tex]Let \ it \ be \ x\\\\x \times 360 = 60 \\\\x = \frac{60}{360} = \frac{1}{6}[/tex]

Therefore ,

          [tex]\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.[/tex]

Có 7 cây hãy trồng thành 6 hàng, mỗi hàng 3 cây?

Answers

Answer:

Step-by-step explanation:

Bạn vẽ 1 tức giác ABCD lồi sau đó nối AB và CD cắt nhau tại E, AD và BC cắt nhau tại F, AC và BC cắt nhau tại G. Trồng 7 cây vào các điểm ABCDEFG  l. Ta có sáu hàng là ABE, DCE, BCF, ADF, ACG, BDG

Ivy is competing in a 400 m race.
She runs at a constant speed of 5.4 m/s for the first 150 m, then 4.5 m/s for 40 seconds.
The remainder of the race takes her 34 seconds to complete.
What is Ivy's average speed for the entire race to 1 dp?

Answers

Answer:

4.5m/s

Step-by-step explanation:

4.5x40=180

180+150=330

400-330=70

70/34=2.05882352941

(2.05882352941x70)+(5.4x150)+(4.5x180)=1791.11764706

1791.11764706/400=4.47779411765

4.47779411765=4.5

4.5m/s

Answer:

Average speed = 3.9 m /s

Step-by-step explanation:

Total distance = 400m

First 150m = 5.4m/s

[tex]speed = \frac{distance}{time} \\\\time = \frac{distance}{speed} = \frac{150}{5.4} = 27.78 \ s[/tex]

Second part :

S = 4.5m/s for 40s

[tex]Distance = speed \times time = 4.5 \times 40 = 180 \ m[/tex]

Third part :

Remaining distance = 400 - 150 -180 = 70m

Time taken to cover it = 34s

[tex]speed = \frac{distance}{time} = \frac{70}{34} = 2.05 \[/tex]

Speed = 2.05m/s

Find average speed

        [tex]Average\ speed = \frac{total \ distance }{total \ time \ taken } \\\\Average \ speed = \frac{400}{101.78} = 3.93 \ mps[/tex]

Round to 1 dp => average speed = 3.9m /s

Four veterinarians at an animal clinic were surveyed about the type of animals they had seen as patients in a particular week. The results of the survey are shown in the table.
Veterinarian
Dr. Greene
Dr. Fluke
Dr. Johansen
Dr. Ponce

Type of animal)
dog)
cat)
bird)

Dr. Greene)
Dog) 77
Cat) 56
Bird) 0
Total) 133

Dr. Fluke
Dog) 64
Cat) 54
Bird) 7
Total) 125

Dr. Johansen
Dog) 59
Cat) 30
Bird) 21
Total) 110

Dr. Ponce
Dog) 39
Cat) 52
Bird) 16
Total) 107

TOTAL animals
Dog) 239
Cat) 192
Bird) 44
Total) 475
Of the patients that are cats, what percent were seen by Dr. Fluke? Express your answer to the nearest whole percent.

Answers

Answer:

28.125%

Nearest whole percent: 28%

Step-by-step explanation:

54/192 = .28125

move decimal to the right (two times)

28.125%

Using the percentage concept, it is found that 28% of the patients that are cats were seen by Dr. Fluke.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 54 out of 192 cats were seen by Dr. Fluke, hence the percentage is given by:

[tex]P = \frac{54}{192} \times 100\% = 28.1\%[/tex]

Rounding to the nearest percent, 28%.

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Determine if segment AB is tangent to the circle.

Answers

Answer: Segment AB is tangent to the circle

Step-by-step explanation:

3 sides are 16, 20, and 12

If angle a is 90 then ab is tangent

now check using Pythagorean theorem

since 12^2 + 16^2 =20^2, this means angle a is a right angle meaning segment AB is tangent to the circle

a bag contains 16 red coins , 8 blue coins , and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair? Justify your answer

Answers

Answer:

Step-by-step explanation:

there are a total of 16+8+8=32 coins in bag

16 out of 32 are red

player wins by pulling a red coin

assume it is a single pull, the winning probability = 16/32 = 1/2

so it is 50/50 chance n hence a fair game

Step-by-step explanation:

yes it is a fair game because any one don't know what the coin will get, it is based on luck

The mid point of the line segment joining the points A(4,7) and B(2,5)

Answers

Answer:

hope it helps you.......

It May Help You

Thank You:)

I need help resolving this please

Answers

27x^6 = 387420489

You want something similar but cubed.

[tex]\sqrt[3]{387420489}[/tex] = 729

YOUR ANSWER: 729x^3 = 387420489

Step-by-step explanation:

Which of the following equations is NOT an example of inverse variation?
I. f(x)=kx
II. f(x)=2kx
f
(
x
)
=
2
k
x
III. f(x)=−kxz

Answers

Based on the equation,the equation which is not an inverse variation is f(x) = kx

Inverse variation

f(x) = kx

= k × x

f(x) = 2k/x

= k(2/x)

f(x) = -kx/z

= k(-x/z)

Inverse variation is given by:

y = k(1/x)

where,

k = constant of proportionality

Therefore, f(x) = kx is not an inverse variation.

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Which function is increasing and has a domain of (1,∞ )

Answers

The graph of a square root function has a domain of (0, ∞) and range of [1, ∞).

Answer:

f(x)=log(x-1)+2

Step-by-step explanation:

I did the test on plato and got it right.

Low concentrations of EDTA near the detection limit gave the following dimensionless instrument readings: 175, 104, 164, 193, 131, 189, 155, 133, 151, and 176. Ten blanks had a mean reading of 50.0. The slope of the calibration curve is 1.75 x 10^-9 M^-1.

a. Estimate the signal detection limit for EDTA.
b. What is the concentration detection limit?
c. What is the lower limit of quantification?

Answers

Answer:

Step-by-step explanation:

From the given information:

The mean of the readings is:[tex]=\dfrac{175+104+164+193+131+189+155+133+151+ 176}{10}[/tex]

[tex]= \dfrac{1571}{10}[/tex]

= 157.1

The standard deviation (SD) can be computed by using the expression:

[tex]SD =\sqrt{ \dfrac{\sum_f(x_i - \bar x)^2}{n-1}}[/tex]

[tex]SD =\sqrt{ \dfrac{(175-157.1)^2+(104-157.1)^2+(164-157.1)^2+...+(176-157.1)^2}{10-1}}[/tex]

Standard deviation = 28.195

FOr the EDTA complexes;

The signal detection limit = (3*SD) + [tex]y_{blanks}[/tex]

= (3*28.195) + 50

= 84.585 + 50

= 134.585

We need to point out that the value of the calibration curve given is too vague and it should be (1.75 x 10^9 M^-1) as oppose to  (1.75 x 10^-9 M^-1)

The concentration of detection limit is:

[tex]=\dfrac{3 \times SD}{slope }[/tex]

[tex]=\dfrac{3 \times 28.195}{1.75 \times 10^{9} \ M^{-1} }[/tex]

[tex]\mathbf{= 4.833\times 10^{-8} \ M}[/tex]

The lower limit of quantification is:

[tex]=\dfrac{10 \times SD}{slope }[/tex]

[tex]=\dfrac{10 \times 28.195}{1.75 \times 10^{9} \ M^{-1} }[/tex]

[tex]\mathbf{= 1.611 \times 10^{-7} \ M}[/tex]

1.) If I am selling a dozen at $3, how much would each egg cost?
2.) If each egg costs that amount of money, how much would an 18 pack be?


I'm trying to figure this out because this is a real-life problem, and I'm trying to sell eggs to my teacher.

Answers

Answer:

1.$3÷12=0.25

each egg would cost 25 cents

2.12×18=216

216×25=5,400

3x-4=8 what is the value of X

Answers

Answer:

x = 4

Step-by-step explanation:

Given

3x - 4 = 8 ( add 4 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

look at attachment below

Answers

I think it’s 8/55=4/x
So it’s 8x=4(55)
8x=220
x=220/8
x=27.5

In an experiment, equal amounts of heated water and soil were left to cool down. The initial and final temperatures of each were recorded. A partial record of the temperature is shown. Experimental Record Substance Initial Temperature Final Temperature Water 27 °C 24 °C Soil 27 °C ? Which statement about the final temperature of soil is correct? (3 points) It will be less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.

Answers

Answer:less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.

Step-by-step explanation:

less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.


For the straight line defined by the points (2,57) and (4,83), determine the slope (m) and y-intercept (b).

Answers

Step-by-step explanation:

the answer is in the image above

A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radians. (That is, the rocket's path and the ground form an angle with a measure of 1.2 radians.)]

Required:
a. What is the slope of the rocket's path?
b. If the rocket has traveled 85 yards horizontally since it was launched, how high is the rocket above the ground? _____yards.
c. At some point in time, the rocket is 313 yards above the ground. How far has the rocket horizontally (since it was launched) at this point in time? _____yards

Answers

Answer:

a)[tex]S=2.57[/tex]

b)[tex]H=203.2yard[/tex]

c)[tex]X=121.79yards[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta=1.2=68.755^o[/tex]

a)

Generally the equation for Slope is mathematically given by

 [tex]S=tan \theta[/tex]

 [tex]S=tan 68.755[/tex]

 [tex]S=2.57[/tex]

b)

Given the right Angle triangle with horizontal distance [tex]x=85yard[/tex]

Generally the equation for Height traveled is mathematically given by

 [tex]H=tan\theta*x[/tex]

 [tex]H=2.57*85[/tex]

 [tex]H=218.45[/tex]

 [tex]H=203.2yard[/tex]

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

[tex]X=\frac{313}{tan65.75}[/tex]

[tex]X=\frac{313}{2.57}[/tex]

[tex]X=121.79yards[/tex]

Using the projectile principle, the slope of the rockets path, height above the ground and the distance traveled at a height of 313 yards would be 2.57, 218.63, 121.69 respectively.

Given the Parameters :

Angle of inclination = 1.2 radian

Converting to degree :

θ = 1.2 rads × 180/π = 68.755°

A.)

The slope of the rocket's path :

Slope = tanθ

Slope = tan(68.755) = 2.57

B.)

Horizontal distance, = distance along the x-axis = 85 yards

Vertical distance = height = distance along y-axis, y

y = tanθ × x

y = slope × x

y = tan(68.755) × 85

y = 218.63 yards

C.)

Vertical distance, y = 313 yards

From :

[tex] y = x tan\theta [/tex]

[tex] x = \frac{y}{tan\theta} [/tex]

[tex] x = \frac{313}{tan(68.755°)} [/tex]

x = 121.69 yards

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write the other side of this equation so its true for all values of x: 1/2(6x-10)-x=

Answers

9514 1404 393

Answer:

  2x -5

Step-by-step explanation:

Any equivalent expression can be used. It is perhaps easiest just to simplify the given expression.

  1/2(6x -10) -x = 3x -5 -x = 2x -5

Putting 2x-5 on the right will give an equation true for all x.

  1/2(6x -10) = 2x -5

I need help I’ll mark u as brainlest

Answers

Answer:

105 in³

Step-by-step explanation:

Volume of triangular prism = base area * height

here

base area =  (10*7)/2 = 35

height = 3

Volume = 35* 3 = 105

HELP HELPPP!!!у- 3
|
у+
у- 3
3
What is the common denominator of y+
3
in the complex fraction
5 2
9* Зу
?
Зу(у – 3)
у(у – 3)
Зу
О 3

Answers

Answer:

The common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3

Step-by-step explanation:

Given

The complex fraction

Required

The common denominator

To solve this, we need not consider the whole complex fraction.

We only consider

[tex]y + \frac{y-3}{3}[/tex]

Take LCM

[tex]y + \frac{y-3}{3} = \frac{3y - (y-3)}{3}[/tex]

Single out the denominator, i.e. 3

Hence, the common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3

Cómo chica quiere armar sus propios lindos para una galería de arte los cuadros deben ser de forma cuadrada así que todos los lados deben de medir los mismos y una amiga le donó dos trozos de madera de 128 cm y 224 cm respectivamente qué tan grande es podrían ser los lados sin que sobre madera?

Answers

You need to multiply 2 x 5 and then you get 10 idiot

An item costs $370 before tax and the sales tax is $11.10. Find the sales tax rate::Write your answer as a percentage.​

Answers

Answer:

3%

Step-by-step explanation:

Cost x sales tax rate =tax

370 x sales tax rate = 11.10

sales tax rate =11.10/370

sales tax rate=.03 or 3%

The sales tax rate is 3% if an item costs $370 before tax and the sales tax is $11.10.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

To determine the sales tax rate, we need to divide the amount of sales tax paid by the cost of the item before tax and then multiply the result by 100% to express it as a percentage.

As per the question, the amount of sales tax paid is $11.10, and the cost of the item before tax is $370. Therefore, the sales tax rate is:

sales tax rate = tax paid / (cost of the item before tax) x 100%

sales tax rate = $11.10 / $370 x 100%

Apply the division operation,

sales tax rate = $0.03 x 100%

Apply the multiplication operation,

sales tax rate = 3%

Therefore, the sales tax rate is 3%.

Learn more about the percentages here:

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