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 1

Answer:

A≈165553.09

Step-by-step explanation:

Samuel Invested $53,000 In An Account Paying An Interest Rate Of 6.7% Compounded Continuously. Assuming

Answer 2

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 pleasee i dont understand

Answers

To find slope on the graph you use rise/run like #1 you go up 3 and across 2 so it’s 3/2 and positive because the line is going up if it were going going down it’s a negative slope…now to find it with the formula it says it right there y2-y1 over x2-x1 for example 14-10 over -7-8 and simplify if you can…on the table you will do the same as you did with the formula on #15 you will use the formula like this 2-5 over -2+3 because we all know when you subtract a negative with a negative you’re basically adding them together

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!

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

Slope:

y-intercept:

(0,3)

Step-by-step explanation:

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:

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]

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]

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

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

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

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

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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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

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answers

Answer:

Step-by-step explanation:

ILL MARK YOU AS BRAINLIEST, PLEASE HELP!!!

Answers

Answer:

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:

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

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!

What’s 19,975 divided by 25 show your work

Answers

the answer to the question is 799

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 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

The total amount of the salesperson's sales for the week is $6,200

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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Evaluate the expression when c=5 and d=6.
7c+d.

Answers

Answer:

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 :)

u would have to plug in the numbers meaning

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

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