Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?
Answers
Answer:
A≈165553.09
Step-by-step explanation:
To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
What is continuous compounding?The formula for calculating the amount of money in an account with continuous compounding is:
[tex]A = Pe^{(rt)}[/tex]
where:
A = the amount of money in the account after t years
P = the principal amount invested
r = the annual interest rate (as a decimal)
t = the time in years
e = Euler's number (approximately 2.71828)
Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:
[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]
A ≈ $174,529.50
Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
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Related Questions
Help me please I don’t get it I put false and my teacher said it’s wrong
Answers
ur teacher is wrong im in algebra 2 an this is correct
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answers
Answer:
$ 2,273.25
Step-by-step explanation:
On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).
Use the Pythagorean theorem to find the distance on the coordinate plane.
a2 + b2 = c2
What is the distance between the two points?
StartRoot 20 EndRoot
StartRoot 40 EndRoot
StartRoot 45 EndRoot
StartRoot 58 EndRoot
Answers
Answer:
StartRoot 58 EndRoot
Step-by-step explanation:
Given the coordinates (-4, -3) and (-1, 4)
To get the distance between the two points, we will use the formula:
D =√(y2-y1)²+(x2-x1)²
From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4
Substitute
D =√(4-(-3))²+(-1-(-4))²
D = √(4+3)²+(-1+4)²
D = √7²+3²
D = √49+9
D = √58
Hence the correct option is D
StartRoot 58 EndRoot
Answer:
D. 58
Step-by-step explanation:
··4 m 1 3
··4 m 2 3
··8 (m 1 1)?
Answers
Answer:
what does the m stand for
Step-by-step explanation:
What is the sample mean of the data set? Round to the
nearest hundredth
1
33
What is the sample standard deviation of the sample?
Round to the nearest hundredth
2
34
3
42
4
36
5
39
6
36
7
39
8
40
9
44
Answers
Answer:
38.11 and 3.66
Step-by-step explanation:
The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively.
What is the mean absolute deviation?The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.
The mean is the average of the data set and given by
Mean = sum of all the data sets/number of data set
Mean = (33 + 34 + 42 + 36 + 39 + 36 + 39 + 40 + 44)/9
Mean = 38.11
Now standard deviation is given by
[tex]s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}[/tex]
Where N is the number of data while the x bar is the mean.
So by using the formula,
Standard deviation = 3.66.
Hence "The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively".
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Select Noun Phrase if the underlined group of words is a noun phrase. Select Not a Noun Phrase if the underlined group of words is not a noun phrase.
Answers
Answer:
First option is NOT a noun phrase
Second is a noun phrase
Third is a noun phrase
Fourth is NOT a noun phrase.
Step-by-step explanation:
It depends on if there is a noun in the underlined portion of words. If there is, then it IS a noun phrase. If there is not, then it is NOT a noun phrase.
Nouns are like: I, You, His/Her, He/She, etc.
Answer: 1 is a noun phrase, 2 is a noun phrase, 3 is a noun phrase, and 4 is a not a noun phrase.
Step-by-step explanation: flowers are a noun, paint on the walls is a noun,
his lunch is a noun, and while yawning is a verb.
Write the word sentence as an equation. Then solve.
The difference between a number pand 6 is -14
Equation
Solution p=
25
Answers
Answer:
p - 6 = -14
p = -8
Step-by-step explanation:
The difference between a number p and 6 is -14
Let the number = p;
Equation:
difference between the numbers:
p - 6
equality;
p - 6 = -14
Equation; p - 6 = -14
Solution:
p - 6 = -14
add (+6) to both sides of the expression;
p - 6 + (+6) = -14 +(+6)
p = -8
Help on activity serious
Answers
Answer:
The M it's in 3 cuz y2-y1
x2-x1
Help Me pleasee i dont understand
Answers
Solve the inequality 3(x - 2) + 1 = x + 2(x + 2).
A XS4
B. XX-5
C. no solution
D. all real numbers
Answers
Answer:
No solution
Step-by-step explanation:
calculate the sum) 3x-5+x+2(x+2)
distribute 2 through the parentheses) 3x-5=x+2x+4
calculate the like terms) 3x-5=3x+4
calculate equal terms on both sides of the equation) -5 = 4
-5 = 4 meaning that the statement is false!
Question 3. The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard deviation of 0.02 inches. The diameter L of a medium coffee cup LID at the coffee shop follows the Normal distribution with a mean of 3.01 inches and standard deviation of 0.01 inches. Assume that M and L are independent random variables. Let D = L-M be the difference between the lid's diameter.
What is the mean of D? Use 2 places after the decimal.
What is the standard deviation of D? Use 4 places after the decimal.
For a lid to fit on the cup, the difference, D, needs to be less than .08 inches. Find the probability that a randomly select lid will fit on the medium coffee cup. Use 3 places after the decimal.
Answers
Answer:
The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard ... Assume that M and L are independent random variables. ... Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.
you either add all of the math numbers together or you either multiply all of the math numbers together cuz
Step-by-step explanation:
What’s 19,975 divided by 25 show your work
Answers
the answer to the question is 799
how to do this question plz
Answers
Step-by-step explanation:
Volume of a cube is the side length cubed.
V = s³
27 cm³ = x³
x = 3 cm
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbooks published show that 20 %20% are huge successes, 30 %30% are modest successes, 30 %30% break even, and 20 %20% are losers. Before a decision is made, the book will be reviewed. In the past, 99 %99% of the huge successes received favorable reviews, 60 %60% of the moderate successes received favorable reviews, 40 %40% of the break-even books received favorable reviews, and 30 %30% of the losers received favorable reviews. If the textbook receives a favorable review, what is the probability that it will be huge success?
Answers
Answer:
[tex]Probability = 0.198[/tex]
Step-by-step explanation:
Given
Publish
[tex]Huge\ Success = 20\%[/tex]
[tex]Modest\ Success = 30\%[/tex]
[tex]Break\ Even = 30\%[/tex]
[tex]Losers = 20\%[/tex]
Favorable Reviews:
[tex]Huge\ Success = 99\%[/tex]
[tex]Modest\ Success = 60\%[/tex]
[tex]Break\ Even = 40\%[/tex]
[tex]Losers = 30\%[/tex]
Required
Determine the probability that a textbook is huge success and favorable
To do this, we simply multiply the probability of a textbook being huge success and being favorably reviewed. as follows;
[tex]Probability = 20\% * 99\%[/tex]
[tex]Probability = 0.198[/tex]
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
Answers
Answer:
39
Step-by-step explanation:
plz answer the top one #13 (its not D)
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
boiling point is not related to the amount present
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts
Answers
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
A farmer has 180 bushels of wheat to sell at her roadside stand. She sells an average of
15. bushels each day. Represent the total change in the number of bushels she has for sale after
8
7 days.
The total change in the number of bushels she has for sale is
(Type an integer, proper fraction, or mixed number.)
Answers
Answer:
Step-by-step explanation:
Elope
PLEASE ANSWER. Its suppose to be really easy. I am in the middle of a test PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! I will give you more than 5 points!!
Answers
Answer:
[tex]8x+8[/tex]
Step-by-step explanation:
[tex]2((x-2)+(3x+6))=2(4x+4)=8x+8[/tex]
ILL MARK YOU AS BRAINLIEST, PLEASE HELP!!!
Answers
Answer:
A
Step-by-step explanation:
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earning were $692. What was the total amount of her sales for the week?
Answers
Answer:
The answer is $6216.66
Step-by-step explanation:
(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6;
x=6216.66
Total earnings= $692
Total hours worked = 40 hours
Earnings per hour = $8
Total hourly earnings = Total hours worked × Earnings per hour
= 40 hours × $8
= $320
Commission earnings = Total earnings - Total hourly earnings
= $692 - $320
= $372
Total amount of her sales for the week = x
6% of x = $372
0.06 × x = 372
0.06x = 372
x = 372 / 0.06
x = $6,200
Therefore, her total amount of her sales for the week is $6,200
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What are the points for y=-3x+4 and how do I graph it
Answers
Answer:
(-3,13) (-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,5) (4,8) are your graph points.
Step-by-step explanation:
Okay so to find the points, you have to create a table graph with a set of x values.
in this case, your equation y=-3x+4 the x can be replace with a set of numbers and these will be your plots.
-3(-3)+4= 13
-3(-2)+4= 10
-3(-1)+4= 7
-3(0)+4= 4
-3(1)+4= 1
-3(2)+4= -2
-3(3)+4= -5
-3(4)+4= -8
Naturally with these points a shape will form ideally a straight line. Hopefully this helps and good luck!
y=1x-3 find the value of y
Answers
Answer:
Find the Slope and y-intercept
Use the slope-intercept form
y=mx+b
to find the slope
m and y-intercept
b.
Slope:
1
y-intercept:
(0,3)
Step-by-step explanation:
Please help me I’ll give brainliest
Answers
Answer:
x<3
Step-by-step explanation:
Is not a negative so it wont be on the left
4.32(3.7+1.65)= ??????
Answers
Answer:
9.67
Step-by-step explanation:
Evaluate the expression when c=5 and d=6.
7c+d.
Answers
Answer:
41
Step-by-step explanation:
Step 1:
7c + d Equation
Step 2:
7 ( 5 ) + 6 Input c and d
Step 3:
35 + 6 Multiply
Answer:
41 Add
Hope This Helps :)
C=5 & D=6
so u would when they ask 7C+D u have to add parentheses for the numbers that are getting plugged in
7(5) + (6) = 41
please help i will make brainlest if you have correct answers please put your answers in order like the pictures like 1 2 3 4 5
Answers
1. 22/25
2. -1 1/4
3. -1 7/10
4. 1 5/6
5. 1 2/3
Answer:
Step-by-step explanation:
1= 22/25
2= -1 1/4
3= - 1 7/10
4= 1 5/6
5= 1 2/3
if y=4 when x=12, ind y when x=24
Answers
Answer:
y=8
Step-by-step explanation:12 time what equals 24 its times two so you do 4 time 2 and you get your answer.
Which of the following sets represents a function?
O [(1, 2), (3, 2), (5, 7))
O [(3,5),(-1,7), (3,9)}
O [(1, 2), (1,4), (1, 6)
Answers
Answer:
(1, 2), (1,4), (1, 6)
Step-by-step explanation:
They're adding the Y-axis
The mapping below shows y as a function fo x?
True
False
Answers
Answer:
False
Step-by-step explanation:
x is the input and y is the output
the same input cannot have more than 1 output
-8 has 1 output
5 has 1 output
but "1" has 2 outputs