A deposit of $2,960 is placed into a scholarship fund at the beginning of every six months for 13 years. The fund earns 7% annual interest, compounded biannually, and paid at the end of the six months. How much is in the account right after the last deposit? Select the correct answer below:

Answers

Answer 1

Answer:

where are the awnsers??

Answer 2

The value of the initial deposit is $2,960, so a1=2960. A total of 26 six-month deposits are made in the 13 years, so n=26. To find r, divide the annual interest rate by 2 to find the biannual interest rate and add 1 to represent the new biannual deposit.

r=1+0.072=1.035

Substitute a1=2960, n=26, and r=1.035 into the formula for the sum of the first n terms of a geometric series and simplify to find the value of the annuity.

S26=2960(1−1.03526)1−1.035≈122286.78

Therefore, the account has $122,286.78 after the last deposit is made.

Related Questions

Simplify these expressions.
a. 6ab + (–3x) + 2ab
b. 12x + 4y + (–3x)
c. 6w + (–2y) + 3w
d. 4abc + (–9abc) + 10d

Answers

Answer:

a. 6ab +( - 3x) + 2ab

=6ab - 3x +2ab

=6ab + 2ab - 3x

=8ab - 3x

Step-by-step explanation:

Eliminated the brackets first

Collected like terms

Then I solved

1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(a) In how many ways can she arrange all 9 paintings? Show your work.
(b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she
wishes to display? Show your work.
Answer:

Answers

The number of ways to arrange the 9 paintings is 362880, and there are 126 ways to display only 4 out of the 9 paintings

Part A: The number of arrangements.

The number of paintings is given as:

n = 9

The number of arrangement is then calculated using:

n! = 9!

Evaluate the factorial

n! = 362880

Part B: The number of selection

To select 4 paintings from a total of 9, we make use of the following combination formula

Ways = 9C4

Evaluate the above expression using a calculator

Ways = 126

Hence, there are 126 ways to display only 4 out of the 9 paintings

Answers

Answer:

Option B will be the correct option.

Step-by-step explanation:

The given expression is

We can rewrite the term as

[As we know ]

Now we will simplify the expression

Therefore, Option B will be the correct option.

A computer fan's speed rises as the computer heats up. Based on the table, what is MOST LIKELY the fan's speed at 7 minutes?

A) 0 RPM
B) 1,400 RPM
C) 2,100 RPM
D) 2,800 RPM

Answers

Answer:

2,800

Step-by-step explanation:

Because they are adding 700 each time.

Find the Volume. 4 1/2 ft 3 ft 7 1/5

Answers

Answer:

97.2 ft

Step-by-step explanation:

4 1/2*3*7 1/5=13.5*7.2=

97.2

Joseph works 5 hours on Monday, 10 hours on Tuesday, 9.5 hours on Wednesday, 8.25 hours on
Thursday, 6 hours on Friday, and 7.5 hours on Saturday. He is paid $9.85 per hour and time and a
half for all hours over 40 per week. Find his gross earnings per week.
I
I

Answers

Answer:

459.9 or 460

Step-by-step explanation: add it all up and multiply and then add once more the half times the 6.25 hours of overtime

I need help with this question please

Answers

Answer:

I) 23

K) 96

J) 77

Step-by-step explanation:

All angles of a triangle equal up to 180

6x+4x-3+x+7=180

11x+4=180

11x=176

x=16

There are 350 eighth graders at Wilson Middle School. In the class president election, 252 students voted for Luke, 56 students voted for Alice, and 42 students voted for Chris. What percent of eighth graders voted for Luke?

Answers

72%

hope it helps...!!!

Answer:

72%

Step-by-step explanation:

Step 1.

Do 252 divided by 350

252/350

Step 2.

Convert answer into percentage

252/350=.72

.72=72%

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question:

What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number.

Answers

Answer:

¿Cuál es la probabilidad de aprobar un examen al azar?

Resultado de imagen para ¿Cuál es la probabilidad de adivinar correctamente al azar exactamente una respuesta correcta?

La probabilidad de acertar respondiendo al azar una pregunta es de una entre cuatro: 1/4 = 0.25. Normalmente decimos un 25% de probabilidad de acertar. La probabilidad de fallar sería tres entre cuatro: 3/4 = 0.75. O sea un 75%.

Step-by-step explanation:

this is the best ✔️ 5+(2-3)49_.56837659=0-9

Step-by-step explanation:

0 upto 9

solve the inequality: |6w+2|-6>8

Answers

Answer:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Step-by-step explanation:

The solution is given

[tex] |6x + 2| - 6 > 8[/tex]

[tex] |6x + 2| > 8 + 6[/tex]

[tex] |6x + 2| > 14[/tex]

Now wit will be swprated into two parts

First part

[tex]6x + 2 > 14 [/tex]

[tex]6x > 14 - 2[/tex]

[tex]x > 12 \div 6[/tex]

[tex]x > 8[/tex]

The second part is

[tex]6x + 2 > - 14[/tex]

[tex]6x > - 14 - 2[/tex]

[tex]x > - 16 \div 6[/tex]

This question has two answers

6-16/6

These are Questions/answers for #1, 2, 3, 17, 18, 19 & 20 if you can't see what it says in the picture (Please answer all questions in correct order)

#1.Given w = −96i −180j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.

204; 62°

816; 62°

204; 242°

816; 242°

# 2. A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos 48°)t and y = 6.1 + (24sin 48°)t − 16t 2. What is the height of the ball, in feet, when it is 13 feet from the free throw line? Round to three decimal places.

10.053

10.292

10.673

11.025

#3.Vectors u and v are shown on the graph.

vectors u and v share an initial point and vector u points down 8 units and vector v points to the right 6 units

Which of the following vectors represents u + v? (Please put/show a graph if you can)

17.What are the magnitude and direction of u + v + w? Round the magnitude to three decimal places and the direction to the nearest degree.

53.241; 355°

52.822; 355°

53.241; 5°

52.822; 5°

#18. Which point represents z1 + z2?

P

Q

R

S

Question 19. A barge is being towed by two tugboats, using ropes with force vectors as shown.

Two vectors named F sub 1 and F sub 2 that share an initial point from the barge each pointing to a different tugboat

Given vector F sub 1 equals open angled bracket 12000 comma 7000 close angled bracket and vector F sub 2 equals open angled bracket 14500 comma negative 5000 close angled bracket comma what is the angle between the ropes? Round to the nearest degree.

31°

33°

49°

54°

Question 20.Given v = 8i − 3j and w = −12i + 4j, find 7v − 2w.

−80i − 29j

−80i + 29j

80i − 29j

80i + 29j

Answers

Answer:

See below for answers and explanations (along with a graph for #3)

Step-by-step explanation:

Problem #1

Applying scalar multiplication, [tex]-4w=-4\langle-96,-180\rangle=\langle384,720\rangle[/tex].

Its magnitude would be [tex]||-4w||=\sqrt{384^2+720^2}=816[/tex].

Its direction would be [tex]\displaystyle\theta=tan^{-1}\biggr(\frac{720}{384}\biggr)\approx61.927^\circ\approx62^\circ[/tex].

Thus, B) 816; 62° is the correct answer

Problem #2

Find the time it takes for the ball to cover 13ft:

[tex]x=(24\cos48^\circ)t\\13=(24\cos48^\circ)t\\t\approx0.8095[/tex]

Find the height of the ball at the time it takes for the ball to cover 13ft:

[tex]y=6.1+(24\sin48^\circ)t-16t^2\\y=6.1+(24\sin48^\circ)(0.8095)-16(0.8095)^2\\y\approx10.053[/tex]

Thus, A) 10.053 is the correct answer

Problem #3

We have [tex]u=\langle0,-8\rangle[/tex] and [tex]v=\langle6,0\rangle[/tex] as our vectors. Thus, [tex]u+v=\langle0+6,-8+0\rangle=\langle6,-8\rangle[/tex]. Attached below is the correct graph. You can also solve the problem visually by using the parallelogram method where the resultant vector is the diagonal of the parallelogram.

Problem 4 (#7)

[tex]\displaystyle t \cdot v=(7)(-10)+(-3)(-8)=-70+24=-46[/tex]

Thus, C) -46 is the correct answer

Problem 5 (#8)

Find [tex]r[/tex] and [tex]\theta[/tex]:

[tex]r=\sqrt{x^2+y^2}=\sqrt{2^2+(-8)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}\approx8.246[/tex]

[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{y}{x}\biggr)=tan^{-1}\biggr(\frac{-8}{2}\biggr)\approx-75.964^\circ[/tex]

Find the true direction angle accounting for Quadrant IV:

[tex]\theta=360^\circ-75.964^\circ=284.036^\circ[/tex]

Write the complex number in polar/trigonometric form:

[tex]z=8.246(\cos284.036^\circ+i\sin284.036^\circ)[/tex]

Thus, C) 8.246(cos 284.036° + i sin 284.036°) is the correct answer

Problem 6 (#12)

Eliminate the parameter and find the rectangular equation:

[tex]x=3t\\\frac{x}{3}=t\\ \\y=t^2+5\\y=(\frac{x}{3})^2+5\\y=\frac{x^2}{9}+5\\9y=x^2+45\\0=x^2-9y+45\\x^2-9y+45=0[/tex]

Thus, D) x^2-9y+45=0 is the correct answer

Problem 7 (#13)

Find the magnitude of the vector:

[tex]||v||=\sqrt{(-77)^2+36^2}=85[/tex]

Find the true direction of the vector accounting for Quadrant II:

[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{36}{-77}\biggr)\approx-25^\circ=180^\circ-25^\circ=155^\circ[/tex]

Write the vector in trigonometric form:

[tex]w=85\cos155^\circ i+85\sin155^\circ j[/tex]

Thus, D) w=85cos155°i+85sin155°j is the corrwect answer

Problem 8 (#15)

[tex]\frac{z_1+z_2}{2}=\frac{(3-7i)+(-9-19i)}{2}=\frac{-6-26i}{2}=-3-13i=(-3,-13)[/tex]

Thus, C) (-3,-13) is the correct answer

Problem 9 (#16)

Treat the golf ball and wind as vectors:

[tex]u=\langle1.3\cos140^\circ,1.3\sin140^\circ\rangle[/tex] <-- Golf Ball

[tex]v=\langle1.2\cos50^\circ,1.2\sin50^\circ\rangle[/tex] <-- Wind

Add the vectors:

[tex]u+v=\langle1.3\cos140^\circ+1.2\cos50^\circ,1.3\sin140^\circ+1.2\sin50^\circ\rangle\approx\langle-0.225,1.755\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v||=\sqrt{(-0.225)^2+1.755^2}\approx1.769[/tex]

Find the true direction of the resultant vector accounting for Quadrant II:

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{1.755}{-0.225}\biggr)\approx-82.694^\circ\approx-83^\circ=180^\circ-83^\circ=97^\circ[/tex]

Thus, B) 1.769 m/s; 97° is the correct answer

Problem 10 (#17)

Identify the vectors and add them:

[tex]u+v+w=\langle50\cos20^\circ,50\sin20^\circ\rangle+\langle13\cos90^\circ,13\sin90^\circ\rangle+\langle35\cos280^\circ,35\sin280^\circ\rangle=\langle50\cos20^\circ+13\cos90^\circ+35\cos280^\circ,50\sin20^\circ+13\sin90^\circ+35\sin280^\circ\rangle=\langle53.062,-4.367\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v+w||=\sqrt{53.062^2+(-4.367)^2}\approx53.241[/tex]

Find the true direction of the resultant vector accounting for Quadrant IV:

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{-4.367}{53.062}\biggr)\approx-4.705^\circ\approx-5^\circ=360^\circ-5^\circ=355^\circ[/tex]

Thus, A) 53.241, 355° is the correct answer

Problem 11 (#18)

We observe that [tex]z_1=-8-6i[/tex] and [tex]z_2=4-4i[/tex], hence, [tex]z_1+z_2=(-8-6i)+(4-4i)=-4-10i[/tex]

Thus, Q is the correct answer

Problem 12 (#19)

Find the dot product of the vectors:

[tex]F_1\cdot F_2=(12000*14500)+(7000*-5000)=174000000+(-35000000)=139000000[/tex]

Find the magnitude of each vector:

[tex]||F_1||=\sqrt{12000^2+7000^2}=1000\sqrt{193}\\||F_2||=\sqrt{14500^2+(-5000)^2}=500\sqrt{941}[/tex]

Find the angle between the two vectors:

[tex]\displaystyle \theta=\cos^{-1}\biggr(\frac{F_1\cdot F_2}{||F_1||||F_2||}\biggr)\\ \theta=\cos^{-1}\biggr(\frac{139000000}{(1000\sqrt{193})(500\sqrt{941})}\biggr)\\\theta\approx49.282^\circ\approx49^\circ[/tex]

Thus, C) 49° is the correct answer

Problem 13 (#20)

Using scalar multiplication, [tex]7v-2w=7\langle8,-3\rangle-2\langle-12,4\rangle=\langle56,-21\rangle-\langle-24,8\rangle=\langle56-(-24),-21-8\rangle=\langle80,-29\rangle=80i-29j[/tex]

Thus, A) -80i - 29j is the correct answer

Can someone help please

Answers

Answer:

24sq.ft

Step-by-step explanation:

Area of a parallelogram = Base*Height

Here,

→Base = 6ft, Height = 4ft

→ 6*4ft

→24sq.ft

While writing area of a figure, we have to express the area in sq which means square

ThankYou

Please mark me as brainliest

A number is chosen at random from 1 to 50. Find the probability of see tiny multiples of 12

Answers

Answer:

4/50

Step-by-step explanation:

12,24,36,48 are multiples of 12

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 14

y = 30

Step-by-step explanation:

x + 10 = 3x - 18

x = 3x - 18 - 10

x = 3x -28

x - 3x = -28

-2x = -28

x = 14

(3x - 18) + (6y - x - 10) = 180

3x - x -18 - 10 + 6y = 180

2x - 28 + 6y = 180

2x + 6y = 180 + 28

2(14) + 6y = 208

6y = 208 - 28

6y = 180

y = 30

I hope this helps!

16. Jason leaves Detroit at 2: 00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at [tex]2\colon50\mathrm{PM}\text{.}[/tex]
(b) Draw the graph of the equation in part (a).

Answers

Answer:

at 2: 00 PM constant speed may 4:00 constant speed

Step-by-step explanation:

makatulong po ba

which expressions are equivalent to 5 times 5 times 5 times 5 times 5 times 5? Select all the expressions that apply.

Answers

Answer:

5 to the power of 5. In other words, 3125

Answer:

5*5*5*5*5*5

[tex]5^6[/tex]

Step-by-step explanation:

If your answer choices show exponents, then any base 5 exponents multiplied that have exponents adding up to 6 will work too.

Can someone explain why this equation equals 2?

Answers

Answer:

bc it dose

Step-by-step explanation:

PLEASE HELP ME ON THIS QUSTION
The data shows the age of thirteen different dogs at a dog park.
3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
Create a histogram of this data.

To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.

Answers

Answer:

Given the following data shows the age of thirteen different dogs at a dog park:

3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4

The frequency table is as shown below;

Age | number of dogs

0 - 2 | 1

3 - 5 | 5

6 - 8 | 3

9 - 11 | 2

12 - 14 | 2

Step-by-step explanation:

To create a histogram of the given data, you would have to plot the ages of the dogs against the number of dogs.

Calculations and Parameters:

Given the set of data: 3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4

You would have to create a frequency table and this would contain the ages and number of the dogs as displayed below:

Age | number of dogs

0 - 2 | 1

3 - 5 | 5

6 - 8 | 3

9 - 11 | 2

12 - 14 | 2

Answers

6200 grams are equivalent to 6.2 kilograms

What is the circumference of a circle with a radius of eight inches

Answers

Answer:

50.24 inches

[tex] \: [/tex]

Step-by-step explanation:

It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

[tex] \: [/tex]

To find the circumference of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]

Where

r is the radius of the circle.

We'll take the value of π as 3.14

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 2 \times 3.14 \times 8}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 3.14 \times 16}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{\frak{{ \: Circumference_{(circle)}= 50.24}}}}}} \: \: \\ \\[/tex]

Therefore,

The circumference of the circle is 50.24 inches

Answer:

C = 50.24 in

Step-by-step explanation:

Given that,

→ Radius (r) = 8 in

Formula we use,

→ 2πr

The circumference of the circle will be,

→ 2πr

→ 2 × 3.14 × 8

→ 6.28 × 8

→ [ 50.24 in ]

Hence, the circumference is 50.24 in.

Volume of a Cylinder

Answers

The volume is 54,437.52.

Answer:

54,437.52 ( fifty four thousand four hundred thirty seven and fifty two thousanths.)

Step-by-step explanation:

A cube has a volume of 216 cubic inches. What is the width of the cube?

Answers

Answer:

Step-by-step explanation:

Find the cube root of 216

Round 2566.36 to the nearest tenth

Answers

the answer would be 2566.4
Explanation: Since 6 is above 5 it will allow the tenth place to move up one

A case of 12 jars of salsa weighs 180 ounces. How many ounces will 5 jars of salsa weigh?

Answers

Answer:

75 ounces

Step-by-step explanation:

Divide 180 by 12 to see how much a single jar weighs

180/12 = 15

Multiply the weight of one jar by how many jars you need

15x5 = 75

Answer: 75 ounces

Step-by-step explanation:

The 12 jars combined weigh 180 ounces in total. We find the weight per jar by dividing 180 ounces by 12 which gives is 15 ounces per jar. We find the weight of 5 jars by multiplying 5 jars by 15 ounces. Here are the calculations as follows.

180÷12=1515x5=75

Here are the travel times in minutes of 19 randomly chosen New York workers:
5
10
15
15
15
15
20
20
20
20
30
30
40
40
45
60
60
65
85

1. Find the mean of the New York travel times.

Answers

32 because you add all the number the divide by the total amount witch is 19

In a cash drawer there is $208.00 in $1 bills and $5 bills. The number of $5 bills is three times as the
number of $1 bills. How many of each are in the drawer?

Answers

Answer:

there are $624.00 $5 in the money drawer

HELP! Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?

The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.

The population of the survey is the 242 that said they would be interested.

The population of the survey is all residents of the neighboring city whose phone number is listed.

The survey sample includes current customers.

Answers

Answer:

The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.

Step-by-step explanation:

that one makes the most sense

Please help me fast!

Answers

Find the Inverse

To find the inverse, interchange the variables and solve for

−

(

)

Can you help me with the top question please I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

Other Questions

A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a 200-meter sprint in which there are 8 runners Which line is a line of symmetry for the figure attached?A. Line BB. Line AC. Line CD. Line D Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots.Identify any values of data that may affect the statistical measures of center and spread. (1 point)A)The males worked less than the females, and the male median is close to Q1.B)There are significant outliers at the high ends of both the males and females.C)Both graphs are symmetrical, so IQR and median are appropriate measures of spread and center for both males and females.D)There is a high data value that causes the data set for the or females to be asymmetrical. Based on the chart above, which country has the highest standard of living? O Country A O Country B O Country C O Country D. What is a disadvantage of using radio waves to transmit information?Multiple choice question.A)They do not permanently move matter.B)They can travel over long distances.C)They can be varied to hold information.D)They lose energy as they travel through mediums. what is public administration 35.0 L of an ideal gas at 268 K and 5.16 atm are heated to 343 K with a new pressure of 8.00 atm. What is the new volume (in L)? Name three black artisans of antebellum period Brainliest given.Which person is elected by the citizens of Japan? A. President B. Member of the Diet C. Emperor D. Prime Minister Which of the following is a solution of the inequality?-3 < 2x + 1 < 5 I The following data set representsthe shoe size of a group ofkindergarteners.12, 12, 9.5, 10.5, 11.5, 12 Calculate the area of a square with side length 12 cm She would still have to decide which words to use_________ now a haiku would give her a structure to followOptions:ThusSoIfBut The endpoints of adiameter of a circle are (2,4) and (-4, 7). What is thestandard form of theequationof this circle?I know one of the answer is not cHurry i got like 30 mins left and a girl is tired Jenny puts aside $10,000 in an account that earns 3% annual interest, compounded monthly. How long will it take for the account to have $20,000? Round to the nearest whole number. Use the model A=P\left(1+\dfrac rn\right)^{nt}. How long does it take for kentucky bluegrass to germinate. What discovery was made by Alvin? The function h(x) is given in the table above.Which of the following choices shows theaverage rate of change of the function over theinterval 2 x 6?A. 6/4B. -3/2C.-7/6D. -1 Which line from Edgar Allan Poe's "Annabel Lee" contains alliteration?Annabel Leeby Edgar Allan PoeIt was many and many a year ago,In a kingdom by the sea,That a maiden there lived whom you may knowBy the name of Annabel Lee;And this maiden she lived with no other thoughtThan to love and be loved by me./was a child and she was a child,In this kingdom by the sea,But we loved with a love that was more than love-I and my Annabel Lee-With a love that the winged seraphs of HeavenCoveted her and me.And this was the reason that, long ago,In this kingdom by the sea,A wind blew out of a cloud, chillingMy beautiful Annabel Lee;So that her highborn kinsmen cameAnd bore her away from me.To shut her up in a sepulchreIn this kingdom by the sea.The angels, not half so happy in Heaven.Went envying her and me-Yes!-that was the reason (as all men know,In this kingdom by the sea)That the wind came out of the cloud by night,Chilling and killing my Annabel Lee. Which factored form is equivalent to the expression x^2 + 5x + 4? A) (x + 2)(x + 3) B) (x + 4)(x + 1) C) (x + 5)(x 1) D) (x 4)(x + 1)