Otis has saved $18,500 so far to buy a
house. He can put this amount into an
account that earns 5.1% simple interest,
or another with 5.1% compounded
annually. Which method of earning
interest should he choose, simple or
compound, and how much more interest
will the account earn using that method
after 4 years?
F Compound interest; $15,106.30
G Simple interest; $15,106.30
H Simple interest; $298.65
J Compound interest; $298.65
no

Answers

Answer 1

9514 1404 393

Answer:

  J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.


Related Questions

Will give 100 points !!!!!!! Due today!!! A family creates a monthly budget based on their combined wages and expenses for one month. Complete the budget
by choosing the correct option for each cell labeled A through E.

Answers

Answer:

Step-by-step explanation:

Budgeted Income $ Actual Income $ Difference

Wages $2,500.00 Wages $2,650.00 $150.00

Total Budgeted Wages $2,500.00 Total Actual Income $2,650.00 $150.00

Budgeted Expenses $ Actual Expenses $ Difference

Food $525.00 Food $500.00

A.

Credit Card $100.00 Credit Card $100.00 $0.00

Field Trips $0.00 Field Trips $15.00 -$15.00

Gas $150.00 Gas $120.00 $30.00

Clothing $0.00 Clothing $80.00

B.

Gifts $100.00 Gifts $20.00 $80.00

Entertainment $100.00 Entertainment $65.00

C.

Mortgage Payment $1,080.00 Mortgage Payment $1,080.00 $0.00

Utility Bills $160.00 Utility Bills $140.00 $20.00

Car Payment $225.00 Car Payment $225.00 $0.00

Car Insurance $157.00 Car Insurance $157.00 $0.00

Total Budgeted Expenses $2,597.00 Total Actual Expenses $2,502.00 $95.00

Surplus/Shortage D. Surplus/Shortage

E.

$245.00

Can you answer this and explain ​

Answers

Answer:

600g chopped tomatoes, 450ml stock, 390ml red wine

Step-by-step explanation:

You need to divide the 3 ingredients by the minced beef to see the unit rate. ex. 800/400 = 2, 2 x 300 (current amount of minced beef) = 600.

Solve this equation: x + 1 < 5

Answers

Answer:

x<4

Step-by-step explanation:

simple linear inequality

x+1<5

add -1 to both side of the inequality

x+1-1<5-1

x<4

Will Give Brainliest
Answer Choices:
The relation is a function because each input has exactly one output.
The relation is not a function because each input has the same output.
The relation is a function because each input has the same output.
The Relation is not a function because each input should have a unique output.

Answers

Answer:

The relation is a function because each input has exactly one output.

Step-by-step explanation:

Which of the books is perpendicular to the shelf?
11
C D
book A
book B
book c
bookD

Answers

Answer:

Book D

Step-by-step explanation:

The shelf goes horizontal and Book D is standing vertically, so they're perpendicular.

Which are the correct measures for WXZ, UZY, and VYX?

Answers

Answer:

UZY

Step-by-step explanation:

what fraction of an hour is 32 minutes
Give your answer in its simplest form

Answers

Answer:

32/60

Step-by-step explanation:

Answer:

i think the answer would be 0.533

Step-by-step explanation:

i hope its right

A square is attached to a semicircle to make the figure shown in the diagram below .
if the radius of the semicircle is 4 meters ,what is the aproximate area of the figure .

Answers

Answer:

C) 89.12 m^2

Step-by-step explanation:

You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.

To find the area of a semicircle, use this formula:

1/2πr^2 (1/2 x 3.14 x radius x radius)

Here, this radius is 4.

Now, we just plug in the numbers.

[3.14 is always used for π (pi)].

1/2 x 3.14 x radius x radius

                ↓

1/2 x 3.14 x 4 x 4 = 25.12

25.12 is the area of the semicircle.

Now, we must find the area of the square.

SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.

8 x 8 = 64.

Now that we have both areas, we add to find the area of the figure.

25.12 + 64 = 89.12

Therefore, the area of this figure is 89.12 meters^2.

(06.01)The scatter plot shows the relationship between the number of homework assignments turned in over a week and the test score for that same week:

art A: What is the group of points labeled X called? What is the point labeled Y called? Give a possible reason for the presence of point Y.
Part B: Describe the association between a student’s test scores and the number of homework assignments submitted.

Answers

Answer:

a: positive association, the y point is called a deviation

b: looks like the student scores are positive pattern (well accept for that little guy ..little y...)

Step-by-step explanation:

a reason: if you were to draw a line through those points it would be positive linear correlation and that one plot had nothing to do with the correlation

In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Graph is given in relation of test score with student home work assignment. Relationship and association of the graph to be determined.


What is correlation?

Correlation implies that one of the subject or value related to other subject or value.


Here, from the graph the sets of value of x is increasing and having positive association. Other side y has only single value in it showing as deviation and nothing else.


Thus, In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Learn more about correlation here:
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Estimate 349.6-112.8

Answers

Answer:

349.6 - 112.8 = 236.8

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

someone help please

Answers

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 9. What is the probability that a randomly
selected male's systolic blood pressure will be less than 100, to the nearest
thousandth?

Answers

Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= [tex]N(\frac{100-105}{9} )[/tex]

= [tex]N(\frac{-5}{9} )[/tex]      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  [tex]N(\frac{-5}{9} )[/tex]      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

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The volume of B is 160 millilitres. Work out the volume of A.

Answers

Answer:32

Step-by-step explanation: The volume of A is 32:)

right answer = gets brainliest

Answers

Answer:

4.   12c(3a^5b - 1)

Step-by-step explanation:

Greatest common factor of 36 and 12: 12

There are variables a^5b on left term but not on right term, so there is no common factor of a or b.

Greatest common factor of c and c: c

Common factor: 12c

36a^5bc / 12c = 3a^5b

-12c / 12c = -1

Answer: 36a^5bc - 12c = 12c(3a^5b - 1)

Tries remaining: 3Points out of 1.00Not flaggedFlag question
Question text
If 5750 is the half-life of carbon-14, what would you use for the exponential decay model for carbon-14?

Select one:

A.
A = A0e^-7.0475t


B.
A = A0^1.2055t


C.
A = A0e^-0.000103k


D.
A = Ae^-0.000121t

Answers

[tex]\rm\underline\bold{Answer \purple{\huge{\checkmark}}}[/tex]

C.

A = A0e^-0.000103k

Correct answer is option C

NO LINKS PLEASE

what fraction is greater than 3/5 and less than 3/4 and has a denominator of 20?

Answers

Answer:13/20 and 14/20

Step-by-step explanation:

3/5=12/20 3/4=15/20

Please help!!! I will mark brainliest

Answers

Answer:

option 2...........…..

On a given day, eight rabbits, 12 mice, and four snakes are present on the mountain range. If each animal is equally likely to be caught and consumed, what is the probability that the wolf will eat two rabbits?

Answers

Answer:

7 / 69

Step-by-step explanation:

Rabbit = 8

Mice = 12

Snake = 4

Total = (8 + 12 + 4) = 24

If each animal has equal probability of being caught ;

Probability of catching a rabbit ;

Number of rabbits / total number of animals

P(catching 1 rabbit) = 8 / 24 = 1/3

P(catching 2nd rabbit) :

Number of rabbits left = 8 - 1 = 7

Total number of rabbits = 24 - 1 = 23

Hence, P(catching 2nd rabbit) = 7 /23

Probability of catching two rabbits :

1 /3 * 7/ 23 = 7 / 69

Help.Help.Help.Help. Km doing a test so I need the answer quickly
The sim of two consecutive off integers is 72. Find the numbers

Answers

Answer:

x + (x+2) = 72

2x + 2 = 72

2x = 70

x = 35

The two odd numbers are 35 and 37.

The number that lies between is 36.

Step-by-step explanation:

Marielle computed her table income last
year as $47 678 Over the year, she paid
$7 201 in federal withholding. Use the tax
table to find the amount of money
Marielle wil owe in additional taxes
If line 43 (taxable And you are
income) is single
At But less
least than
Your taxis
47 800 47,650 8,031
47 650 47,700 8,044
47,700 47,750 8,056
47.750 47 800
8,069

Answers

Answer:

843

Step-by-step explanation:

According to the tax table, she owes 8,044. She paid 7201.

additional amount owed is 8044-7201=843

yooo help me i need help on ixls no cap

Answers

Answer:

131°

Step-by-step explanation:

(disclaimer this isn't necessarily right, please don't come at me if this is wrong)

So the only we have is the measurement of angle H, which is 49°. So we're going to assume that they're all equal, cause I don't know what else to do, so:

180° - 49° = 131°

So, I think that angle F is 131°

hope this is right and helps:)

Hi! Please explain how you got the answer! Thank you! :) ​

Answers

Answer:

(b) 6

Step-by-step explanation:

if n=5 and m=6

[tex] {6}^{2} - {5}^{2} \\ 36 - 25 = 11 \\ \\ 6 + 5 = 11[/tex]

11 less than 12

11 is greater than 10

The answer is B

Which is 6

Find the indicated probability
A class consists of 63 women and 67 men. If a student is randomly selected, what is the probability that the student is a woman?
ОА.
1
130
ОВ.
67
130
ОС.
63
67
OD
63
130
is this right ?

Answers

Answer:

the chance that he pick a woman student is 67/130 or 51.5 %

PLEASE HELP AND HURRY!

The front of the home is being painted, not including the door the door measures 9ft by 2ft how many square feet will be needed

IGNORE THE WRITING

Answers

Answer:

ANSWER BELOW

Step-by-step explanation:

If the door is 9 x 2 ft (18 sq ft):

12 x 18 = 216 sq ft. (Front face including the door)

216 sq ft - 18 sq ft = 198 (Front face not including the roof or door)

For the roof, the formula is h b/2:

So if the height is 4 and the base is 18, the area of the roof is 36.

To find the total area, you must add the area of the front face and the roof (without the door).

198 + 36 = 234 sq ft

Have a wonderful day my friend!

Answer:

i only answered so you could give the other person brainliest.

Step-by-step explanation:

Yea.

Can someone please help me with math you probably will have to answer it on desmos.

Answers

Answer:

solution - (2,1)

For the graph - just copy my graph

Step-by-step explanation:

The equations are fully simplified already so all we have to do is graph them and find the solution

The solution being where the two lines graphed intersect

As you can see in the graph below the two lines intersect at point (2,1) therefore the solution to the system of equations is (2,1)

a square has an area of 1 square unit what is the length of the square

Answers

Answer:

1

Step-by-step explanation:

Leah is mixing peanut butter candy (p) that sells for $3.60 per pound with chocolate candy (c) that sells for $2.00 per pound. She needs 50 pounds of the mixture to sell in her store for $2.16 per pound. Which system of linear equations can Leah use to determine the number of pounds of each candy to use?

Answers

Answer:

45 pounds of the chocolate candy and 5 pounds of the peanut butter candy.

Step-by-step explanation:

let's define the variables:

p = pounds of peanut butter candy she uses

c = pounds of chocolate candy she uses.

We know that she wants to have a total of 50 pounds of the mixture, then we will have that:

p + c = 50

We also want that these 50 pounds sell for $2.16 per pound.

Then we must have that the price for the candies in the mixture must be equal to the desired price, we can write this as:

p*$3.60 + c*$2.00 = (50 )*($2.16 )

Then we have the system of equations:

p + c = 50

p*$3.60 + c*$2.00 = (50)*($2.16) = $108

To solve this, we first need to isolate one of the variables in one of the equations. I will isolate p in the first equation to get:

p = 50 - c

Now we can replace this in the other equation to get:

(50 - c)*$3.60 + c*$2.00 = $108

Now we can solve this for c.

$180 - c*$3.60 + c*$2.00 = $108

$180 - c*$1.60 = $108

$180 - $108 = c*$1.60

$72 = c*$1.60

$72/$1.60 = c = 45

This means that she should use 45 lb of the chocolate candy, and using the equation:

p + c = 50

p + 45 = 50

p = 50 - 45 = 5

p = 5

She should use 5 lb of the peanut butter candy.

Use substitution to solve the
following system of equations.
9x + 5y = 32 AND y = -3x + 4

Answers

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10

A rectangle has a length of (3x - 4) units and a width of (2x + 3) units. What is the perimeter of the rectangle in terms of x?

Answers

Answer:

(10x-2) units

Step-by-step explanation:

The perimeter of a rectangle is 2*length+2*width.

2(3x-4)+2(2x+3)

=6x-8+4x+6

=10x-2

The perimeter of a rectangle is ( 10x - 2 ).

Here,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

We have to find the perimeter of a rectangle.

What is the perimeter of a rectangle?

The sum of two times of length and width is called the perimeter of a rectangle.

Now,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

Since, The perimeter of a rectangle = 2 (length + width)

Hence, The perimeter of a rectangle = 2(3x - 4 + 2x + 3)

                                                         = 2 (5x -1)

                                                         = 10x - 2

Therefore, The perimeter of a rectangle is ( 10x - 2 ).

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If Each x represents 10 student then how mean students wrote 13 or more letter

Answers

Answer:

There are 3 x’s so the answer would be 30

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