Jon Deposits $14,500 into an account paying 5% annual interest compounded quarterly and Sara deposits $16,250 into an account paying 4% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.

Answers

Answer 1

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Jon:

Initial investment (PV)= $14,500

Interest rate (i)= 0.05/4= 0.0125

Number of periods (n)= 4 quarters

Sara:

Initial investment (PV)= $16,250

Interest rate (i)= 0.04/365= 0.00011

Number of periods (n)= 365 days

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+ i)^n

Jon:

FV= 14,500*(1.0125^4)

FV= $15,238.71

Sara:

FV= 16,250*(1.00011^365)

FV= $16,915.67

Sara will have $1,676.96 more than Jon.


Related Questions

help pleaseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

it is number 2 just read it with an open mind

Step-by-step explanation:

Find the circumstance: ?

Answers

The circumference of this circle will be 31.42 cm

A program evaluator wanted to know if a combination of experience and education gave leadership candidates an advantage in meeting job performance standards better than experience alone, or education alone. There were a total of 39 candidates who had both experience and education, and 200 candidates who had either experience or education. Of the candidates who had both experience and education, 21 met the standards, while 18 did not meet the standards. Of the candidates who had only experience or education, 100 met the standards, and 100 did not meet the standards.
Select the correct statistical test to determine if there is a relationship between preparation and meeting the standards, calculate the results, and communicate the results.
a. None of the choices are correct.
b. A Spearman rs is the best choice. The test reveals that there is a strong correlation between preparation and meeting the standards (rs = [237] = 1.00, p <.05). This means there is a relationship between the variables.
c. A chi-square test would be the best choice for examining observed data. The results are significant, (X- [1, N = 239] = 0.19, p<.05). This means that there was a relationship between preparation and meeting the standards, we reject the null hypothesis that the variables are independent.
d. A chi-square test would be the best choice for examining observed data. The results are not significant (X4 [1, N = 239] = 0.19, p > .05). This means that there was not a relationship between preparation and meeting the standards, we retain the null hypothesis that the variables are independent.

Answers

Answer:

pol

Step-by-step explanation:

Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.

Which equation represents this situation?

Answers

Answer:

n+(n+6)=24

Step-by-step explanation:

we know that he has 24 in total so it has to equal 24

we also know that he has 6 more marbles meaning he has n number of yellow marbles plus 6 and that will give you the total of the blue marbles he also has n number of yellow marbles that he has to add to the number of blue marbles to get the total of 24

What is the fraction midway between 7/9 and 8/9

Answers

Answer:

5/6.

Step-by-step explanation:

This is (7/9 + 8/9) / 2

= 15/9 / 2

= 15/9 * 1/2

= 15/18     Now, dividing top and bottom by 3, we get:

5/6.

The required fraction midway between 7 / 9 and 8 / 9 is 5/6.

Given that,
To determine the fraction that lies between the fraction 7/9 and 8/9.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole.

Here,
According to the question,
Fraction midway to the fractions, 7 / 9 and 8 / 9
= [7 / 9 + 8 / 9] / 2
= 15/9/2
= 15 / 9 * 2
= 15 / 18
= 5 / 6

Thus, the required fraction midway between 7 / 9 and 8 / 9 is 5/6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

PLease help!!!! NO LINKS!! Will mark brainliest for right answer!!
Which answer below represents the number of solutions the graph of a linear function and a quadratic function could have?
A) 2
B) 4
C) 5
D) 3

Answers

Answer:

b

it's b bbbbbbbbbbbbbb

Answer:

The answer would be A I believe

Step-by-step explanation:

at what rate will £420 yield
£70 in 4 years​

Answers

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

26) Cary hiked 18 miles in 6 hours. If he continues at the same pace, how much farther can he hike in the next 2 hours?

27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times
at-bat?

28) In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?

Mixed Review

Use the rules of divisibility to solve each problem below. Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10.

29) 12

30) 30

31) 360

32) 96

Answers

Answer:

same question

Step-by-step explanation:

A bag contains 8 red M&Ms, 12 blue M&Ms, 3 brown M&Ms, and 7 green M&Ms. An M&M is picked at random from the bag. What is the probability of getting the first color M&M, eating it, then grabbing the second color? Green, then another green:

Answers

Answer:

7/145

Step-by-step explanation:

7/30x6/29=42/870 = 7/145

1800=3×N
help asap plzzz

Answers

Okay first step is dividing by three on both sides.
1800/3 = 3/3 • N
now you have
600 = N
and you’re done!!! :)

common
factors of 10 and 20​

Answers

Answer:

Step-by-step explanation:

common factor of 10 and 20 is 2 and 10 because 2 and 10 are the numbers which didides both the number exactly.

After receiving a discount of 14.5% on its bulk order of toner cartridges, John's Office Supply pays $6,498.00. What was the price of the order before the discount?​

Answers

?Answer:

Step-by-step explanation:

How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 3.7 lb of the population mean, and the population standard deviation is known to be 28 lb.

Answers

Answer: the required sample size = 155

Step-by-step explanation:

If the standard deviation of the prior study is known, then the formula to compute required sample size:

[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] =  populion standard deviation.

Given: E = 3.7 , [tex]\sigma=28[/tex]

Critical value for 90% confidence = 1.645

Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]

[tex]n=(12.4486486486)^2\approx155[/tex]

Hence, the required sample size = 155

Which ordered pair is NOT a solution to the inequality in the graph? (5,1) (4,6) (0,0) (-2,-8)

Answers

Answer:  (5,1)

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

Explanation:

The red shaded region is the solution set. In other words, if the point is in the red region, then it is a solution. A point like (0,0) is in the red area, so we cross that off the list. The same applies for (4,6) and (-2,-8) as well.

In contrast, a point like (5,1) is not in the red shaded area, so this point is not a solution. Hence it's the final answer.

Note: the solid boundary line means points on the boundary are considered solutions. A dashed boundary line would be used to exclude boundary points from the solution set. Solid boundary lines always go with "or equal to".

Refer to the drawing below if you need a visual of what's going on. I've plotted the four points on the graph given.

--------------------------

Here's an algebraic approach if you don't have a graph and only have the inequality. Ignore this section if you prefer the first section above.

If we plugged (x,y) = (0,0) into the inequality, then we get...

[tex]y \ge 2x-4\\\\0 \ge 2(0)-4\\\\0 \ge 0-4\\\\0 \ge -4\\\\[/tex]

That's a true statement because 0 is to the right of -4 on the number line, making 0 larger than -4. Since the last inequality is true, this makes the first inequality true. Furthermore, it algebraically confirms why (0,0) is a solution. You should find that (4,6) and (-2,-8) will lead to true statements as well, so they are solutions.

In contrast, (x,y) = (5,1) is not a solution because...

[tex]y \ge 2x-4\\\\1 \ge 2(5)-4\\\\1 \ge 10-4\\\\1 \ge 6\\\\[/tex]

which is false. The value 1 is not larger than 6, nor is it equal to 6.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]tan^{-1}(\frac{12}{16})[/tex] = 36.87°

≈37°

Given that y2 is directly proportional to the cube of x and y is always positive. Find the
value of. when x = 3 if y = 18 when x =4


A) 27 B) 11.67 C) 29

Answers

Answer:

11.69

Step-by-step explanation:

Given that y2 is directly proportional to the cube of x and y is always positive. then;

y² = kx³

if y = 18 when x =4

18² = k4³

324 = 64k

k  = 324/64

k = 5.0625

To get y when x = 3

Recall

y² = kx³

y² = (324/64)3³

y² = 324/64 * 27

y² = 136.6875

y = √136.6875

y = 11.69

Hence the value of y is 11.69

value of. when x = 3 if y = 18 when x =4

A) 27 B) 11.67 C) 29

Jose starts with $250 and spends $25 a week. Martin starts with $30 and saves $30 a week. When do Jose and Martin have the
same amount of money? Use for time and for saving.

Answers

Answer:

250-25=225 week 1

200=week 2

175= week 3

150= week 4

Martin

60= week 1

90= week 2

120=week 3

150= week 4

Step-by-step explanation:

36. Saudi Arabia has proven oil reserves of
2.63 x 1011 barrels. Kuwait has proven oil
reserves of 9.78 x 1010 barrels. Canada
has proven oil reserves of 1.789 x 1011
barrels. What are the combined proven
oil reserves of the three countries?

Answers

Answer:

5.397*10^11

Step-by-step explanation:

2.63*10^11

0.978*10^11

1.789*10^11

--------------

5.397*10^11

BESTIES PLEASE HELP ME

Answers

negative
-6

Not sure about “initial value” possibly either the initial time which is 0, or the initial height which is about 90

3 A random sample of 100 PUJ (public utility jeep) shows that a jeepney is driven on the average 24,500 km per year, with a standard deviation of 3,900 kilometers a Construct a 99% confidence interval for the average number of km a jeepney is driven annually b. What can we assert with 99% confidence about the possible size of our error if we estimate the average number of km driven by jeepney drivers to be 23, 500kn per year

Answers

Answer:

Step-by-step explanation:

If the function f (2) 3x2 + bx + 2 has no real roots, which of the following could be the value of b? -7, -1, 8, 0
10​

Answers

Answer:

b could be -1 or 0

Step-by-step explanation:

f(x) = 3x^2 +bx+2

if it has no real roots, the discriminant must be less than zero

b^2 -4ac <0

a=3  b=b  c=2

b^2 - 4(3)(2) <0

b^2 - 24 <0

b^2 < 24

Taking the square root of each side

b< 2 sqrt(6)  and b > 2 sqrt(6)

b could be -1 or 0

y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4​

Answers

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

A simple random sample of eight high school students' ACT scores gave the following data: What is a point estimate for μ, the mean test score for the population? a. A point estimate cannot be computed since the data for the whole population are not available. b. 235 c. 29.38 d. 4.84

Answers

Answer: c, is the correct option.

Step-by-step explanation:

The sample mean is the best point estimate for the population mean in a particular study.

Given data of scores: [tex]$\begin{array}{llllllll}27 & 30 & 20 & 29 & 28 & 36 & 34 & 31\end{array}$[/tex]

Sample mean = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{27+30+20+29+28+36+34+31}{8}\approx29.38[/tex]

Hence, a point estimate for μ, the mean test score for the population is 29.38

Thus , c. is the correct option.

to
Angle JKL is a straight angle.
The measure of angle MKL is 25°.
The measure of angle JKM is xº.
What is the value of x?
M
25°
K
n

Answers

Answer:

180-25=155 degrees

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. 1/5

Step-by-step explanation:

Because

0.2222...>0.2>0.12

The answer is 1/5 hope that helps

Three plants manufacture hard drives and ship them to a warehouse for distribution. Plant I produces 54% of the warehouses inventory with a 4% defect rate. Plant II produces 35% of the warehouses inventory with an 8% defect rate. Plant III produces the remainder of the warehouses inventory with a 12% defect rate. (a) (5 points) A warehouse inspector selects one hard drive at random. What is the probability that a randomly selected hard drive is defectiv

Answers

Answer:

A. 0.028

B. 0.0628

C. 0.45

Step-by-step explanation:

A. Calculation to determine the probability that it is adefective hard drive and from plant II

Using CONDITIONAL PROBABILITY formula

P(B∩A2) =P(A2)P(B|A2)

Let plug in the formula

P(B∩A2)= 0.35×0.08

P(B∩A2)= 0.028

Therefore the probability that it is adefective hard drive and from plant II will be 0.028

B. Calculation to determine the probability that a randomly selected hard drive is defective

Using LAW OF TOTAL PROBABILITY formula

P(B) =P(A1)P(B|A1) +P(A2)P(B|A2) +P(A3)P(B|A3)

Let plug in the formula

P(B)= 0.54×0.04 + 0.35×0.08 + 0.11×0.12

P(B)=0.0216+0.028+0.0132

P(B)= 0.0628

Therefore the probability that a randomly selected hard drive is defective is 0.0628

C. Calculation to determine the probability that it came from plant II

Using CONDITIONAL PROBABILITY formula two twice

P(A2|B) =P(A2∩B)/P(B)

Let plug in the formula

P(A2|B)=0.0280/0.0628

P(A2|B)= 0.45

Therefore the probability that it came from plant II is 0.45

Question 9
Two sides of a triangle have lengths 10 and 15.
What must be true about the length of the third side?
Greater than 5 but less than 25
Less than 15
Less than 25

Answers

Answer:

Two sides of a triangle have lengths 10 and 15.

What must be true about the length of the third side?

Greater than 5 but less than 25

Less than 15

Less than 25

Step-by-step explanation:

Eugene and Jenny are selling cookie dough for a school fundraiser. Customers can buy packages

of chocolate chip cookie dough and packages of gingerbread cookie dough. Eugene sold i

package of chocolate chip cookie dough and 10 packages of gingerbread cookie dough for a total

of $174. Jenny sold 4 packages of chocolate chip cookie dough and 2 packages of gingerbread

cookie dough for a total of $50. Find the cost each of one package of chocolate chip cookie

dough and one package of gingerbread cookie dough.

.

.

Two sides of a triangle have lengths 10 and 15.

What must be true about the length of the third side?

Greater than 5 but less than 25

Less than 15

Less than 25

.

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Unit cube:
What is the volume of the rectangular prism?
Some of the cubes might be hidden behind other cubes.
Try to visualize all of the cubes.
cubic units
(Worth 13 points)

Answers

Answer:

12 unit cubes

Step-by-step explanation:

There are 4 unit cubes on each layer, and there are 3 layers as you can see. So 4 × 3 would equal 12.

If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.

Answers

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

solve for x + 24 = -12

answer in the box

x equals_______​

Answers

Answer:

x = -36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

x + 24 = -12

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 24 on both sides:                       x + 24 - 24 = -12 - 24[Subtraction] Simplify:                                                                                        x = -36
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