A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation. ​

Answers

Answer 1

Answer:

A.  $29,045.68

B.  $28,981.85

C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.

Step-by-step explanation:

3% compounded daily:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)

      = 25000(1.00008219)¹⁸²⁵

      = 25000(1.161827)

      = 29045.6770

3% compounded annually:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)

      = 25000(1.03)⁵

      = 25000(1.159274)

      = 28981.8518


Related Questions

What percentage of births occurred among women between the ages of 38 and 40? Give your answer to one decimal place.​

Answers

98.0 it doesn’t need a decimal but I hope this helps

We are to find the percentage of births which occurred among women between the ages of 38 and 40 using the graph.

The percentage of births which occurred among women between the ages of 38 and 40 using the graph is 98.0

From the graph above, each bar represent 2 years.

There are 5 bars each between 20 and 30, 30 and 40 respectively.

The percentage of births occurred among women between the ages of 38 and 40 is 98

To one decimal place

= 98.0

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Evaluate 6x – y if x = 5 and y = 8.
3
22
43
57

Answers

Answer:

the answer is 22

Step-by-step explanation:

you just need to plug in the values of x and y so...

6(5)-8

30-8

=22

Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.

Answers

Answer: The amount would be $3.70

Step-by-step explanation: 0.20x6=1.20+2.50=3.70

What is the only real number which, when divided by itself, is 2020
times itself?

Answers

Answer:

1/2020

Step-by-step explanation:

We can set up an equation, where x is the number that, when divided by itself, is 2020 times itself:

x/x = 2020*x

The left-hand side reduces to 1:

1 = 2020*x

Now, you can divide both sides by 2020:

x = 1/2020

To check, we can divide 1/2020 by itself:

[tex]\frac{\frac{1}{2020}} {\frac{1}{2020}} = \frac{1}{2020}\cdot \frac{2020}{1} = \frac{2020}{2020} = 1[/tex]

1 is indeed 2020 times 1/2020.

We have that

x=4.95*10^{-4}

From the question we are told

What is the only real number which, when divided by itself, is 2020

times itself

Generally the equation for the statement  is mathematically given as

[tex]\frac{x}{x}=2020*x\\\\1=2020*x\\\\x=\frac{1}{2020}\\\\x=4.95*10^{-4}[/tex]

Hence

the only real number which, when divided by itself, is 2020

times itself is

[tex]x=4.95*10^{-4}[/tex]

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A car travels about 74 feet in one second. At this speed, about how many feet will the car travel in 6 seconds?

Answers

444 ft traveled in 6 seconds.

If the car travels 74 ft in 1 second, all you have to do is multiply 74 by 6 to find the answer, which is 444 ft.

What is faster? 15 meters per minute or 15 kilometers per hour?

Answers

Answer:

15 kilometers

Step-by-step explanation:

15 kilometers is in conversion with miles

Given m||n, find the value of x.
+
m
(2x+6)º(x+9)
Someone please help?

Answers

Answer:

x=55

Step-by-step explanation:

(2x+6)+(x+9)=3x+15

3x+15=180

3x=165

x=55

Which demonstrates the distributive property? *
a + b = b + a
O (a + b) + c = a + (b + c)
a(b + c) = ab + ac
a + 0 = a

Answers

Answer:

a(b + c) = ab + ac demonstrates the distributive property ⇒ C

Step-by-step explanation:

The distributive property is the product of a number by the sum of the other two numbers equal to the sum of the product of the number with each of the other two numbers.

Example: x(y + z) = xy + xz

Let us check the choices to find which of them demonstrates the distributive property

∵ a + b = b + a

→ Adding a and b equals to adding b and a,

∴ It demonstrates the commutative property

∵ (a + b) + c = a + (b + c)

→ Adding the sum of a and b to c equals to adding c to the sum of a and b

∴ It demonstrates the associative property

a(b + c) = ab + ac

→ Multiplying a by the sum of b and c equals the sum of the products

  of a, b and a, c

It demonstrates the distributive property

∵ a + 0 = a

→ The additive identity is zero

∴ It demonstrates the additive identity property

a(b + c) = ab + ac demonstrates the distributive property

Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X

Answers

Answer:

P=0.025x+100

Step-by-step explanation:

The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.

that's the correct answer^^^

y = 1/40x + 100 is  an equation that represents P as a function of X

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.

Let the equation of line y = kx + b

Where b is 100

Since the given line passes through (0, 100) and (4000,200)

since For a line k = (y₂ - y₁)/(x₂ - x₁)

Thus, k = (200 -100)/(4000-0)

k = 1/40

Thus,

y = 1/40x + 100

Therefore, an equation that represents P as a function of X is y = 1/40x + 100.

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Complete question:

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Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.

86, 101, 116, 131, 146,...

112, 110, 108, 106, 104,...

Answers

Answer:

Step-by-step explanation:

86,101,116,131,146,...

a=86

c.d d=101-86=15

explicit formula

[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]

recursive formula

[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]

2.

112,110,108,106,104,...

a=112

c.d d=110-112=-2

explicit formula

[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]

recursive formula

[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]

describes the end behavior of the graph.

Answers

Answer:  B) [tex]+\infty[/tex]

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

Explanation:

As x goes to positive infinity, we're moving forever to the right.

If we have a point on the curve, then the point will move to the right and it will also move upward forever.

So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]

Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]

The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]

In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.

Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12

Answers

Answer:

the 2nd and 4th i think

Step-by-step explanation:

Hi!
I’m pretty sure the answer would be
x(5) =10.

Help me !!! Please someone

Answers

Answer:

5 and 6

Step-by-step explanation:

The square root of 25 is 5 and the square root of 36 is 6. 33 falls between those

Mrs. Williams shops at a store that has an annual membership fee of $30. Today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her coworkers. Her total was $105. Write and solve the equation to find the number of fruit baskets Mrs. Williams purchased.​

Answers

Answer:

$15

Step-by-step explanation:

-4j-1-5j+6= pls help me

Answers

Hello

Answer:

-9j+5

Step-by-step explanation:

=-4j-1-5j+6

=-4j-5j+6-1

=-9j+5

Hannah likes candy. She wants to purchase some candies all varieties of candy are $4.20 each. Hannah buys one mango candy and one apple candy. Write an expression that represents the total cost,t,of the candy if m represents the number of mango candies and a represents the number of apple candies

Answers

Answer: 4.20(2)

Step-by-step explanation:

An)
is a value that does not change​

Answers

Answer:

An)  is a value that does not change​?  yes

y = -x – 1
What’s the slope?

Answers

Answer:

m = − 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The slope formula is y=mx + b. m is the slope and b is the y-intercept. m is the number that x is being multiplied by. In this problem, you just see -x, so m= -1.

Simplify the expression:
(1 + 5h)(4)

Answers

Answer:

20h + 4

Step-by-step explanation:

It's easy. Just disperse the multiplying by 4 to the others in the first group.

Multiply 1 by 4, and you get 4.

Multiply 5h by 4, and you get 20h.

The answer is 20h + 4.

If this question helped you, please rate and click THANKS!

Before i thought the dividing functions​

Answers

What is the question??

what is the value of x in the equation 3(x-2)+4x=10(x+1)​

Answers

Answer:

-16/3 =x

Step-by-step explanation:

3(x-2)+4x=10(x+1)​

Distribute

3x -6  +4x = 10x +10

Combine like terms

7x -6 = 10x+10

Subtract 7x from each side

7x-6-7x = 10x-7x +10

-6 = 3x+10

Subtract 10 from each side

-6-10 = 3x+10-10

-16 = 3x

Divide by 3

-16/3 = 3x/3

-16/3 =x

50+ POINTS I NEED HELP

Answers

Answer:

21 Yards

Step-by-step explanation:

Hope This Helps

Stay Safe And Happy Holidays

Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?

Answers

The percentage is 70%

Describe or show how to find the following product using both an algorithm and a diagram:

1 1/3 x 2

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Josie deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals how muck money is in Josie's account at the end of four months?

Answers

Answer:

$309.20

Step-by-step explanation:

$450 - 4(35.20)

After four months she will have $309.20

if you know RS=St and

Answers

Answer: The side angle side postulate

Step-by-step explanation:

someone help with this ASAP I HAVE FEW MINS !!!

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Answer:

Symmetric

Step-by-step explanation:

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A they’re parallel because they have same slope

Which statement is best represented by the inequality d greater-than 11?
Mo worked more than 11 hours this week.
Mo worked 11 more hours than Quinn worked this week.
Mo worked less than 11 hours this week.
Mo worked 11 less hours than Quinn worked this week.

Answers

answer:

mo worked more than 11 hours this week.

Answer:

A

Step-by-step explanation:

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Answer:

-5

Step-by-step explanation:

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