Which would produce a larger balance: an annual interest rate of 8.05% compounded monthly or an annual interest rate of 8% compounded continuously? Explain.

Answers

Answer 1

Answer:

8% compounded monthly has higher yield

Step-by-step explanation:

Here, we want to compare which of the two options would give a higher yield

An interest rate of 8% compounded monthly or 8% compounded annually

Let us say we are looking at a time frame of two years

If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times

While if it is annual, we would have only twice

The higher the number of times we compound, the more the return


Related Questions

Compare using >, <, or =,
64 ounces
4 pounds

Answers

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

Write the expression as a single multiplication sentence without
parentheses.

11 × (15 + 5)

Answers

Answer:

11x20

Step-by-step explanation:

15=5 equals 20 so 11x20 is 220

add 15 and 5 to get 20, your answer is 11x20!

Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers? Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

Answers

Answer:

11 and 12

Step-by-step explanation:

Let the consecutive integers be x and x+1

The lesser integer = x

The greater integer = x+1

Two times the greater of two consecutive integers is expressed as;

2(x+1) = 2x+2.

9 less than three times the lesser integer is expressed as;

3x - 9

Equate both expression

2x+2 = 3x - 9

2x-3x = -9-2

-x = -11.

x = 11

The greater integer = x+1 = 11+1 = 12

Hence the integers are 11 and 12

Answer:

11 and 12

Step-by-step explanation:

credit:answer above me

Solve the following inequality algebraically.
x + 2 < 11

Answers

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

-4x+9-x<-3 can someone give me the answer olease

Answers

Answer:

Yes I will always help someone in need. Your answer is x= >12/5

Step-by-step explanation:

Add me and ask any question.Please give me Brainiest

does this figure have symmetry?

A)
Yes, because if you fold it in half, both halves match up
b) No, because if you fold it in half, both halves do not match up.
c) No because if you rotate it 90 degrees, it does not carry onto itself.
D) Yes, because if you rotate it less than one full turn, the figure carries onto itself.

Answers

D) Yes, because if you rotate if less than one full turn the figure carries onto itself

I need not just the answer but the work written out

Answers

Answer:

A(3) = -6 + (3 - 1) (5)

-6 + (2)(5)

-6 + (10)

4

A(4) = -6 + (4 - 1) (5)

-6 + (3)(5)

-6 + 15

9

A(10) = -6 + (10 - 1) (5)

-6 + (9)(5)

-6 + 45

39

Question 33 (1 point)
(04.01)
Which of the following best defines
2/3^3
a
Square root of 9

B
Cube root of 9
C

Cube root of 3

D
Square root of 3

Answers

Answer:

A

Step-by-step explanation:

Answer:

when I finish the test I will tell you the right answerer

Step-by-step explanation:

What's the next number? 0 , 1/3 , 1/2 , 3/5 , 2/3​

Answers

Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding [tex]\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }[/tex] to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

[tex]0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}[/tex]

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

[tex]\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}[/tex]

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

[tex]\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}[/tex]

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

[tex]\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}[/tex]

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

[tex]\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}[/tex]

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

Find the base angles of the figure below.

A.) 72°
B.) 108°
C.) 36°
D.) 54°

Answers

Answer:

36

Step-by-step explanation:

The angles of a triangle have a sum of 180 degrees. This is an isosceles triangle indicated by the red markers on sides ED and EF. This means that the sides and angles are congruent.

Subtract 108 from 180 and divide that by 2.

180-108 = 72

72/2 = 36

36 is the answer to your problem

Twenty seconds after a plane in the air show- dives, it is 300 feet from where it begin. At what rate is the plane diving ​

Answers

Answer:

15 feets per second

Step-by-step explanation:

Given that:

Distance traveled by plane = 300 feets

Time taken by plane to travel such distance = 20 seconds

Rate at which the plane is diving is obtained thus :

Distance / time

= 300 feets / 20 seconds

= 15 feets / second

Hence, the plane is diving at a rate of 15 feets per second.

A bakery made 360 cookies. Twenty percent of the cookies were chocolate chip. How many cookies were chocolate chip

Answers

Answer:

72

Step-by-step explanation:

To calculate how much 20% of 360 makes we multiply 360 with 20 then divide it with 100

360 × 20 ÷ 100 = 72

There are 30 students in the class and 270 apples. if the apples are divided equally among the students, how many does each student get?

Answers

Answer:

9

Step-by-step explanation:

270/30=9

The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year?

Answers

Answer:

This population, the population is 45 fish.

Step-by-step explanation:

This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

x= 60*0.75

x=45

This population, the population is 45 fish. Please make the brainliest.

60-25% of 60 =number of fish this year

60-25/100 x 60

60-15

45 fish are present in the lake

Pls help me ill give brainliest.

Pls do all 3 to get brainliest

Answers

Answer:

5. 8(a-5)= -40

8a-40= -40

8a= -40+40

8a=0

a=0/8

a=0

option c is correct.

6. for d,

-1<d<1

I think the answer is option d , which is missing in the attachment.

the 4 question is missing.

so I am not able to answer that

help please btw last part of d it is 6​

Answers

Answer:

Ans is C

Step-by-step explanation:

Answer: the answer is b!

Step-by-step explanation: Hope this helps! Merry Christmas!

if x= (4/5)^-2 divided by (1/4)^2,find the value of x^-1

Answers

Answer:

[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]

Step-by-step explanation:

We are given the value of x:

[tex]x= (4/5)^{-2}[/tex] divided by [tex](1/4)^2[/tex]

We need to find the reciprocal of x or:

[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]

Operating:

[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]

[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]

[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]

I have no idea how to do this
Solve 3 x < 6

Answers

Answer:

X < 2

If you need an explanation, feel free to leave a comment

Cheers! :)

A computer that cost 1099 last year cost 9999 this year. What is the percent change in price rounded to the nearest tenth
1%
0.1%
9.1 %
10 %

Answers

1%
Type into a calculator as 1098 • 0.1

Phoebe knit a hat for a friend. She started with 197 meters of yarn. When she finished, she had 8,200 centimeters of yarn left over. How much yarn did Phoebe use to knit the hat? Write your answer in centimeters.

Answers

Answer:

Phone used 11,500 centimeters of yarn

Step-by-step explanation:

So first we know that 1 meter is equivalent to of 100 centimeters

Now lets convert everything into centimeters

197*100=19700

And thats it

Now we know she started with 19700 centimeters of yarn and has 8200 centimeters left over.

We can make an equation

We can make “x” stand for amount of yarn used.

19700-x=8200

Minus x becuase thats how much she used and equal 8200 becuase Thats what was left over

Now use inver operations

-x=-11,500

Now divide - on both sides

x=11,500

She used 11,500 centimeters of yarn

Answer:   11,500 centimeters of yarn

Step-by-step explanation:

the perimeter of a triangle is 29cm. the three sides lengths (all measured in cm) of the triangle are 8, 12 and x. Write and solve an equation to find x.​

Answers

Step-by-step explanation:

We have 8 + 12 + x = 29.

Solving, we get x + 20 = 29, x = 9.

Answer:

9 cm

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all the sides of the polygon.

If a polygon is a triangle, and its 3 sides have length a, b, and c, then the perimeter is the sum of a, b,, and c.

perimeter = a + b + c

Here, the perimeter = 29 cm

The lengths of the sides are a = 8 cm, b = 12 cm, c = x.

8 + 12 + x = 29

x + 20 = 29

x = 9

Answer: 9 cm


a A persen sold on article at a profit of 15% If he
sold it for Rs. 81 less, his loss would love been
12% Find the cost price of the article​

Answers

Answer:

cost price (cp)=RS.300

State the null and alternative hypotheses in testing following claims: (a) At most, 20% of next year’s wheat crop will be exported to UK. (b) On the average, homemakers drink 3 cups of tea per day. (c) The proportion of university graduates in this year who majored in the data analytics is at least 0.15. (d) The average donation to the Indian Council for Medical Research is no more than Rs. 10. (e) Residents in Gujarat commute, on the average, 15 kilometers to their place of employment

Answers

Answer:

A) Null hypothesis: H0: p_o ≤ 0.2

Alternative hypothesis: Ha: p_o > 0.2

B) Null hypothesis: H0: μ = 3

Alternative hypothesis: Ha: μ ≠ 3

C) Null hypothesis: H0: p_o ≥ 0.15

Alternative hypothesis: Ha: p_o < 0.15

D) Null hypothesis: H0: μ ≤ 10

Alternative hypothesis: Ha: μ > 10

E) Null hypothesis: H0: μ = 15

Alternative hypothesis: Ha: μ ≠ 15

Step-by-step explanation:

A) Null hypothesis: H0: p_o ≤ 0.2

Alternative hypothesis: Ha: p_o > 0.2

B) Null hypothesis: H0: μ = 3

Alternative hypothesis: Ha: μ ≠ 3

C) Null hypothesis: H0: p_o ≥ 0.15

Alternative hypothesis: Ha: p_o < 0.15

D) Null hypothesis: H0: μ ≤ 10

Alternative hypothesis: Ha: μ > 10

E) Null hypothesis: H0: μ = 15

Alternative hypothesis: Ha: μ ≠ 15

Which of the following is a perfect square ?

A. - 4
B. 1 over 4 over 19 (1/4/19)
C. 0.9
D. 100

Answers

D is a perfect square

HELPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!

Answers

Answer:

15: B. 6

16. D. 12.5

17. B and D

Step-by-step explanation:

What is the M.A.D for 5 10 15 20 25

Answers

Answer:

6

Step-by-step explanation:

Find mean

Find. Absolute deviation=[Xi-mean]

Find mean deviation

Mark takes out a $238,000 mortgage for 30 years. Instead of paying his monthly payment of $1,220.09, he decided to pay $1,420.09. This leads to Mark paying off the entire mortgage in 22 years and 5 months. Mark calculates the percent of the total loan he pays back in interest with and without the extra payments. What is the difference between Mark's calculated percentages?

Answers

Answer:

24.04%

Step-by-step explanation:

Given that:

Mortgage = $238,000

Number of years = 30

Monthly payment without extra payment= $1220.09

Monthly payment with extra payment = $1420.09

Total amount paid :

Number of months * monthly payment

12 months = 1year

30 years = (30 * 12) = 360 months (without extra payment)

22 years 5 months = (22 * 12) + 5 = 269 months (with extra payment)

Amount paid without extra payment :

$1220.09 * 360 = $439232.4

Percentage of total loan paid as interest :

((439232.4 - 238000) / 238000) * 100%

= 0.8455142 = 84.55%

Amount paid with extra payment :

$1420.09 * 269 = 382004.21

Percentage of total loan paid as interest :

((382004.21 - 238000) / 238000) * 100%

= 0.6050597 = 60.51%

Difference between percentages:

84.55% - 60.51% = 24.04%

In a theater, there are 20 seats in the first row. Each row has 3 more seats than the row
ahead of it. There are 35 rows in the theater.
a. Express the number of seats in the nth row of the theater in terms of n.
b. Use sigma notation to represent the number of seats in the theater.

Answers

Answer:

b. Use sigma notation to represent the number of seats in the theater.

Find the unit price of each item, rounding answers to the nearest tenth of a cent. A) 4 lbs for $2.37 b) 15 lbs for $8.57 c) 25 lbs for $13.59 Which bag (4, 15, or 25) is the best deal?

Answers

Answer:

A. $0.59

B. $0.57

C. $0.54

The best deal is 25 lbs for $13.59

Step-by-step explanation:

A) 4 lbs for $2.37

Units price (price per lb) = $2.37 / 4

= $0.5925

Approximately $0.59

b) 15 lbs for $8.57

Price per lb = $8.57 / 15

= $0.5713

Approximately $0.57

c) 25 lbs for $13.59

Price per lb = $13.59 / 25

= $0.5436

Approximately $0.54

Which bag (4, 15, or 25) is the best deal?

The best deal is 25 lbs for $13.59

Connor is driving on a long road trip. He currently has 9 gallons of gas in his car. Each hour that he drives, his car uses up 2 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after t hours?

Answers

i think its 2 gallons

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