A total of $10,000 is invested at an annual interest rate of 3%. Find the balance after 5
years if the interest is compounded a) quarterly and b) continuously.

Answers

Answer 1

Answer:

Step-by-step explanation:

We will need 2 different equations for this problem. For compounding a certain number of times a year, the formula is

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] so let's do that first. Filling in we get

[tex]A(t)=10000(1+\frac{.03}{4})^{(4)(5)[/tex] and simplifying a bit gives us

[tex]A(t)=10000(1+.0075)^{20}[/tex] and a bit more,

[tex]A(t)=10000(1.0075)^{20}[/tex] and then

A(t) = 10000(1.161184142) so

A(t) = 11611.84

Then for the compounding continuously, the formula is

[tex]A(t)=Pe^{rt[/tex]

[tex]A(t)=10000e^{(.03)(5)}[/tex] and simplify a bit to\

[tex]A(t)=10000e^{.15}[/tex] Now raise e to the power of .15 on your calculator to get

A(t) = 10000(1.161834243) so

A(t) = 11618.34

Not too much of a difference between the 2 values at the end.


Related Questions

A bag of marbles contains three blue, one black, and four
yellow marbles. If two marbles are chosen at random
without replacement, what is the probability that both
marbles will be yellow?

Answers

Answer:

3/14

Step-by-step explanation:

Blue = 3Black = 1Yellow = 4

Total = 3 + 1 + 4 = 8

Probability of two yellows:

4/8*3/7 = 3/14

What does a polygon look like

Answers

A polygon looks like this,

what is the slope of line
x -3,-2,-1,0

y 6,4,20?
PLEASE HELP ASAP

Answers

Answer: y=-2x
Solution:

Please answer, will give brainliest.

Answers

Answer:

third one

Step-by-step explanation:

Answer:

I think one solution

Step-by-step explanation:

*Sorry if this did not help. I'm only in 5th grade*

What the slope of (-2, 3) and (-8, -1)

Answers

the slope would be 2/3

Answer:

slope of given points are;(y2-y1)÷(x2-x1)

=(-1-3)÷(-8+2)

= -4÷-6

=2/3

It says to classify what does this mean I be dumb

Answers


for 10 x = 28.

8x-44=180
+44. +44

8x=224

224/8=28

Any help please I appreciate it

Answers

Answer:

12

Step-by-step explanation:

18-6

Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?

Answers

Answer:

69.99

Step-by-step explanation:

Answer:

23.80

Step-by-step explanation:

In a card game it is possible to have negative score. If Laura starts with a score is 10 what will be her new score if she loses 38 points ?

Answers

Answer:

28

Step-by-step explanation:

10-38=28

$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr

Draw a rough sketch of the graph of f(x)=(x+1)^2(x-4). Insert a picture of your sketch below.
WILL GIVE BRAINLIEST PLS PLS HELP

Answers

Answer:

I will help you since you asked :) sorry for taking so long

step explanation:

The solution is f ( x ) = ( x + 1 )² ( x - 4 )

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

The equation is f ( x )

f ( x ) = ( x² + 2x + 1 ) ( x - 4 )

On Simplifying the equation , we get

f ( x ) = ( x³ - 4x² + 2x² - 8x + x - 4 )

Now , this is a polynomial equation and can be plotted on a graph and is shown below

To learn more about equation of the graph click :

https://brainly.com/question/16957172

#SPJ2

HELP PLEASE! IMAGE ATTACHED

Answers

Answer:

I cannot see the picture it just shows the image logo

Step-by-step explanation:

Helpp me pleasee correct answers! (10 points )

Answers

Answer:  Approximately 30.4 degrees

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

Work Shown:

324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.

The adjacent side is 550 since it is the leg closest to the angle theta.

We'll use the tangent rule to connect the two sides

tan(angle) = opposite/adjacent

tan(theta) = 322.4/550

theta = arctan(322.4/550)

theta = 30.3780566013696

theta = 30.4

Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.

For f(x) = x3-x2, which gives an output of 48?
A. f(-8)
B. f(-4)
C. f(4)
D. f(8)

Answers

Answer:

The input is x−2, therefore

Step-by-step explanation:

f(x−2)=(x−2)2−3(x−2)+1

Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
32 quarts
52 quarts
O 36 quarts
12 quarts

Answers

Answer:

A.) 32 quarts

Step-by-step explanation:

If there are 4 quarts in a gallon, and Sally has 8 gallons of punch total, 4*8=32 quarts.

Answer:

32 quarts

Step-by-step explanation:

1 gallon = 4 quarts

5+1+2=8

8 × 4 = 32

this is 10 points, PLS help

Answers

Answer:

Sound can travel 12 miles per minute.

Step-by-step explanation:

Speed equation is distance divided by time.

So we have 1 mile per 1/12 of a minute.

Let’s write the equation.

Speed of sound = 1 / 1/12

Multiply by the reciprocal.

1 * 12 = 12.

whats 2+2 lollololololololololololololololololololo

Answers

Answer:

4ssssssssssssssssssssssssssss

-4x +8 = 12
what does x =

Answers

Answer:

x = -1

Step-by-step explanation:

-4x + 8 = 12

      -8    -8

-4x = 4

divide both sides by -4

x = -1

Hope this helps!!!

Solve the following proportion for u.
5
7
11
Round your answer to the nearest tenth.

Answers

5 –> 6
7 —> 8
11 —> 10

Hope this helped! If any questions, feel free to ask! :D

[IMAGE ATTACHED]
Please help me with 9

Answers

Answer:

C=35x+75

It would cost $425 for 15 people

Step-by-step explanation:

A man drove 280 miles in 3.5 hours. If the posted speed limit was 65 miles per hour the entire way how many miles was he driving

Answers

Answer:

80

Step-by-step explanation:

Alicia took a survey to determine her classmates’ favorite pets. She wrote the results on the board. Select whether each statement is true or false

Answers

Answer:

c

Step-by-step explanation:

What is $6.00÷1.50? Please give me the right answers

Answers

Answer:

4

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

I used a calculator.

The sum of five times a number and four is equal to negative eleven. What is the number?

-4
-5
-2
-3

Answers

Answer:

-4

Step-by-step explanation:

Answer:

The answer is -3

Step-by-step explanation:

First I subtracted 4 from -11 giving me the product of 5 and n before 4 was added which is -15

I then divided -15 by 5 giving me -3

Daniel wanted to make note cards by cutting pieces of paper in half. Before starting he got three more pieces to use. When he had 20 half-pieces of paper. With how many did he start with? ( I need the step by step how to solve this)

Answers

Answer:

10

Step-by-step explanation:

before he started, he had 7 pieces of paper and then grabbed 3 more = 10 sheets of paper

he took those sheet and cut them in half so...

10 sheets cut in half = 20

Answer: 20

Step-by-step explanation:before he started, he had 7 pieces of paper and then grabbed 3 more = 10 sheets of paper

he took those sheet and cut them in half so...

10 sheets cut in half = 20

Solve for the variable 4-14=5x

Answers

Answer:

X = 2

Step-by-step explanation:

4-14=5x

10=5x

10/5=5x/5

2=x

Answer: x = -2

Step-by-step explanation:

Let's solve your equation step-by-step.

4−14=5x

Step 1: Simplify both sides of the equation.

4−14=5x

4+−14=5x

(4+−14)=5x

(Combine Like Terms)

−10=5x

−10=5x

Step 2: Flip the equation.

5x=−10

Step 3: Divide both sides by 5.

5x/5=−10/5

x=−2

52:54
If f(x) = 6x – 4, what is f(x) when x = 8?

2
16
44
52

Answers

Answer: 44

Step-by-step explanation:

f(x)=6x-4

f(8)=6(8)-4

f=48-4

f=44

Answer:

44 is the answer

Step-by-step explanation:

This is right on edg. 2020

КУ Meccahi Grant Question #21 The perimeter of a rectangle is given by the algebraic Part A. expression 2x2 + 4x + 4. The width of this rectangle Create an algebraic expression in terms of x to 2 is given by the algebraic expression x? – 4. represent the length of the rectangle. The perimeter of a rectangle is given by the algebraic expression 2x2 + 4x +4. The width of this rectangle is given by the algebraic expression x2 - 4. Part A Create an algebraic expression in terms of x to represent the length of the rectangle. Part B If x = 3, what is the area of this rectangle in squa units? Remember to include units.​

Answers

Answer: The question requires an understanding of how to compose and decompose multi digit numbers. The expanded form 70,000 + 4,000 + 70 + 2 corresponds to the number 74,072, which is the population of Davidson County.

(sorry if i'm wrong)

:(

A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 Refer to Exhibit 3-2. The coefficient of variation is _____.

Answers

Answer:

81.24%

Step-by-step explanation:

First we solve for the variance

Sample space of

3,5,12,3,2

n = 5

Variance = s²

= (3-5)²+(5-5)²+(12-5)²+(3-5)²+(2-5)²/5-1

= 4+0+49+4+9/4

S² = 66/4

= 16.5

Secondly we find the standard deviation

= √16.5

= 4.062

Coefficient of variation

Cv = sd/mean x 100

= 4.062/5 x 100

= 406.2/5

= 81.24%

Fill in the blank

A small scoop of ice cream holds 75% as much as a large scoop of ice cream.

If the small scoops holds 36 ounces, how much does the large scoop hold? _______________ ounces.

Answers

Answer:

48 ounces

Step-by-step explanation:

75% of x = 36

= 0.75x = 36

Dividing both sides by 0.75 we get:

x = 36/0.75

x = 48 units

The large scoop can hold 48 ounces.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A small scoop of ice cream holds 75% as much as a large scoop of ice cream. Let the large scoop hold x then as  per question we have  x×0.75=36

              x= 48

Hence, The large scoop can hold 48 ounces.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

Two cups of flour make 23 batch of bread. How many cups of flour make 1 batch?

Answers

chile its 11.5 (it won't let me put just that so ima spam :)))Ah
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