Ted invests $6,082 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 13 years?

Answers

Answer 1

Answer:

$11468.52

Step-by-step explanation:

Given data

Principal= $6,082

Rate= 5%

time= 13 years

The expression for compound interest is

A= P(1+r)^t

substitute

A=6082(1+0.05)^13

A=6082(1.05)^13

A=6082*1.885649

A=11468.52

Hence the Amount is $11468.52


Related Questions

I am so smart lol lol lollololololololololollololololololollolololololollololo

Answers

Answer:

2. c. 1/2

3. d. 13/16

5. d. 5/12

1. b. simplified

4. b. Nicholas did not divide the numerator and..............

Answer:

i know it’s been months since you posted this question but...

Step-by-step explanation:

2. c) 1/2, 9/18 / 9 = 1/2

3. d) 13/16, 26/32 / 2 = 13/16

5. d) 5/12, 10/24 / 2 = 5/12

1. b) simplified, you can’t simplify 8/9, it’s already smaller.

4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.

why does that say 20/24 tho?- i think it meant 20/30.

i hope this helped! also, a definition of gcf:

GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.

Stephen has $157.92 in his savings account. He deposited d more dollars into his account after receiving a gift from his grandmother. Enter an equation that represents the total amount of money, t, Stephen now has in his savings account.

Answers

Answer:

157.92 + d =t

Step-by-step explanation:

A parallelogram has an area of 37.72 m² and a height of 4.6 m.

How long is the base of the parallelogram?

Enter your answer as a decimal in the box

Answers

Answer:

8.2m

Step-by-step explanation:

Formula : Area = base x height

rearrange : Base = area ÷ height

37.72÷4.6=8.2m

Answer:

8.2

Step-by-step explanation:

Combine Like Terms 4a + 7a

Answers

4a+7a= 11a
There alike terms

Answer:

[tex]11a[/tex]

Step-by-step explanation:

[tex]4a + 7a = 11a[/tex]

Hope this helps you

Can I have the brainliest please?

Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)

Answers

Answer:

a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02

Expected frequency of losses per semester = 11.7 losses per semester

b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02

Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378

Variance = 35.61

c. As losses equal $60, expected losses per semester = 11.7*$60 = $702

d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500

Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

-6,144
-118,098
-3,072
-354,294

Answers

Answer:

3072

Step-by-step explanation:

double the number until the 11th time which would be -3072 so C

Jim is 5 feet tall. What is his height in inches?
Helppppppp

Answers

Answer:

5 feet = 60 inches

Step-by-step explanation:

Every foot is 12 inches, so.. this problem can be turned into simple multiplication..

12 x 5= 60

So, Jim is 60 inches tall.

Hope this helps! :)

Have a nice day!♥

Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.​

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem,

Hypotenuse² = base² + altitude²

Substitute the known values and you can find the missing length

Help me please & Thx
Not really understanding
If you help me i can help you :>
THANKS <3

*BTW this is pre-algebra*

Answers

Answer: 16 times 20 is 320

Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate

Answer is letter: C


The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]

A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.

Answers

Answer:

7 square inches hope this helps brainlest plzzz

Step-by-step explanation:

If the total cost is $30, use your expression to determine the cost per person.

Answers

Answer:

Well, how many people are there?

Step-by-step explanation:

We can't solve this without the number of people.

Laura says her triangle has angle measures of 100', 88°, and 72°.

Answers

Answer:

First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.

Step-by-step explanation:

Mark me brainly please hop this helps.

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence

Answers

Answer: After Nancy bought the sandwich, the cashier handed back $2.36

Step-by-step explanation:

The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1

Answers

Answer:

C

Step-by-step explanation:

The formula for any geometric sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.

We want the formula for the geometric sequence:

-3, -6, -12, -24, ...

Note that our first term is -3. Hence, a₁ = -3.

Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.

Therefore, by substitution, we acquire:

[tex]a_n=-3\cdot (2)^{n-1}[/tex]

Our answer is C.

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

Answers

Answer:

She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.

Step-by-step explanation:

Continuous compounding:

The amount of money earned, after t years, in continuous compounding, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.

This means that [tex]r = 0.057[/tex]

How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]7600 = A(0)(1+0.057)^7[/tex]

[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]

[tex]A(0) = 5156[/tex]

To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.

The sum of half of a number and 49 is 2 1/4 of the number. Find the number

Answers

try −23.375 pretty sure that’s it i did the math lmk if i’m wrong just in case

Answer:

x = 28

Step-by-step explanation:

given,  x/2 + 49 = 21/4

x/2 + 49 = 9x/4

2x +196 = 9x

7x = 196

x = 28

I hope this helps a little bit.

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.

Answers

Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]

H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]

H₁:  [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]

[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?

Answers

Answer:

one is 2 inches bigger that the other.

Step-by-step explanation:

becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .

can someone help me please​

Answers

The answer is the letter A)(3,6)

Answer:

A' = (1, 2)

B' = (2, 3)

C' = (2, 4)

Step-by-step explanation:

Ok so you are given the scale factor of 1/3. You will basically multiply 1/3 to all of the values of point A, B, and C in order to find the values of point A', B', and C'.

A = (3, 6) ---> 3 × 1/3 = 1 and 6 × 1/3 = 2

A' = (1, 2)

B = (6, 9) ---> 6 × 1/3 = 2 and 9 × 1/3 = 3

B' = (2, 3)

C = (6, 12) ---> 6 × 1/3 = 2 and 12 × 1/3 = 4

C' = (2, 4)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

What is the percent of increase from 54 to 81?

Answers

The increase percentage is 50 percent because the new value is greater than the old value.

Answer:

50

A change from 54 to 81 represents a positive change (increase) of 50%

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

X= -10
Y=7
Y=1/5X+9
Y=1/5 •(-10)+9
Y= -10/5 + 9
Y= -2+9
7=7

Y= -1/2 • (-10) +2
Y= 10/2 +2
Y=5+2
7=7

Yes

1 litre is equal to how many decalitre​

Answers

1 liter = 0.1 decaliter

Divide the volume value by 10

h(t)=-16t^2+80t+64 after 40 feet off the ground

Answers

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.

Answers

Answer:

X= 6.2 + 68 ???

Step-by-step explanation:

I'm not sure that's what I would write in an exam

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Answers

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos A=\dfrac{AC}{AB}[/tex]

[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]

[tex]0.857=\dfrac{b}{270}[/tex]

Multiply both sides by 270.

[tex]0.857\times 270=b[/tex]

[tex]231.39=b[/tex]

[tex]b\approx 231.4[/tex]

Therefore, the missing side length is b=231.4 inches.


True or False: This data set represents a function.
{(-5, 8), (-6, 2).(-2,-6), (-1, 8), (4, 6)}
True
False

Answers

Answer:
True


Explanation:
Each of the outputs got their own input but the inputs share a output

what is the answer for number 1?

Answers

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26

Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2

Answers

Answer:

13

Step-by-step explanation:

Other Questions
specific heat is defined as the amount of heat in what Why is chemistry important? i need 2 paragraph please Help,The question is down below Help me please okay thanks if you help me Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chases T shirt. What expression can be used? A. 3k B. 3-k C. K+3 D. K-3 Real quick please! A professor holds office hours during final exam week and discovers much to his dismay that his sudden popularity affords him little time to engage in his favorite activity, watching cat videos. Fifteen students per hour arrive at his office and he patiently answers questions, averaging three minutes per student. On average, how many students are waiting to ask questions? To do a works cited list properly, it shouldO include all of the sources used in the essay.O include the URL of any websites used in research.O never include an item if it has an unknown source.O include the titles of the sources in alphabetical order. HELP ASAP Which statement from the paragraph does the author support with additional details?1. "This food from the gardens is delicious and easy to grow."2. "Kids get to spend time in the outdoors, which is very healthy for them."3. "There is even a strong tie between student gardens and the classrooms."4. "Working together in a garden also encourages students to develop their social skills." HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP In which of the following does the process of natural selection produce change ?A: individual member of species B: organisms that reproduce asexually only C: population of species D: animal species only From an apple tree 2 metres high, a 100g mass apple fell of the tree, what work did it do? Select the Ratio that is not equivalent to the rest.25 points12:256:1514:352:5 Question 94During a clinical assessment, what secondary sex characteristics does the nurse observe in ateenage client? Select all that apply. Shasta's parents think she is unable to focus because they often see her checking her phone. Are they making a reasonable argument? Yes, checking her phone proves she is not focused on anything else Yes, teenagers are never able to focus on anything when they have their phones No, they are just picking on her because she is a teenager No, they do not have enough evidence to prove she is unable to focus PLEASE HELP A circular hot tub has a diameter of 3 feet. What is the approximatecircumference of the hot tub? 9.42 15.7018.84 25.12 Which example models a negative integer A.Students in a classroom B. The age of a parent C. Money lost from a pocket D. the height of a tree so what would the answer be to 2/3 x 6/7 HELP FAST The temperature in the morning was -4 F. At night the temperature dropped to -12.8 F. How can the temperature drop from the morning to the night be represented? A. 16.8 LB. 8.4 F C. -8.8 F D. -16.8 F If I touch a hot object, my hand gets hot through which type of heat transfer? What is the main idea of the " Wild Entertainment" section?