simon will deposit $250 into two savings accounts. account 1 earns 1.6% interest compounded annually. account 2 earns 1.6% simple annual interest. if simon makes no additional deposit or withdrawals, which account is closest to the difference in the interest that the account will have earned at the end of 10 years. A. $253.01 B.$43.01 C.$83.01 D.$3.01

Answers

Answer 1

The difference in the interest that the account will have earned at the end of 10 years is of:

D. $3.01.

What is the account 1 interest earned?

The amount of interest earned, in compound interest, after t years, is given by:

[tex]I(t) = P\left(1 + \frac{r}{n}\right)^{nt} - P[/tex]

In which the variables are listed as follows:

P is the principal.r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

In the context of this problem, these parameters are given as follows:

P = 250, r = 0.016, n = 12, t = 10.

Hence the interest earned by account 1 is:

[tex]I(10) = 250\left(1 + \frac{0.016}{12}\right)^{12 \times 10} - 250 = 43.35[/tex]

What is the account 2 interest earned?

For simple interest, the amount of interest earned is:

I(t) = Prt.

Hence:

I(10) = 250 x 0.016 x 10 = 40.

Hence the difference is:

43.35 - 40 = $3.35.

Which is closest to option D.

More can be learned about simple interest at https://brainly.com/question/25793394

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Related Questions

What expression is equal to 8 + 2(y + 5)? 10y + 50 10y + 5 2y + 13 2y + 18

Answers

Answer:

2y + 18

Step-by-step explanation:

8 + 2(y + 5)

8 + 2y + 10

2y + 18

The price of an ipad went from $450 to $360. What was the percent of decrease?

Answers

Answer:

90

Step-by-step explanation:

450-360 = 90

Simple subtraction.

1. What is the radius of the red circle?

2. What is the radius of the blue circle?

3. What are the coordinates for the center of the red circle?

4. What are the coordinates for the center of the blue circle?

5. What is the equation for the red circle?

6. What is the equation for the blue circle?

Answers

Answer:

See Below

Step-by-step explanation:

1. Radius of the red circle = 2 units

2. Radius of the blue circle = 1 unit

3. Coordinates for the center of the red circle = (-2, 2)

4. Coordinates for the center of the blue circle = (2, 2)

5. Equation for the red circle:

[tex] \{x - (-2)\}^2 + (y-2)^2 = 2^2 [/tex]

[tex] \red{\boxed {(x+2)^2 + (y-2)^2 = 4}} [/tex]

6. Equation for the blue circle:

[tex] (x-2)^2 + (y-2)^2 = 1^2 [/tex]

[tex]\purple {\boxed {(x-2)^2 + (y-2)^2 = 1}} [/tex]

please help me

I will give brainliest :)

Answers

Answer:

11.75

Step-by-step explanation: Good Luck :)

Answer:

hi! I don’t know what any of this means but I hope you have an amazing day and I hope god/allah/etc. blesses you :)

sorry I couldn’t answer

Step-by-step explanation:

Find the common property and use it to describe these sets. C={1,4,9,16} C is a set of x, where x depends on n.

Answers

Answer:

x depends on natural number.

Answer:

C={1,4,9,16} C is a set of x, where x depends on .

Step-by-step explanation:

x depends on natural number of.

hope it is helpful to you

A bag contains 3 red, 2 white, and 5 blue marbles. If one marble is drawn what is the probability that the marble will be red?

Answers

Answer:

3/10

Step-by-step explanation:

Given data

Sample space

3 red,

2 white, and

5 blue marbles.

Sample size

=3+2+5

=10

Hence the probability of picking a red marble is

=3/10

Can someone please help?

Answers

18 Step-by-step exclamation

What is the area of the semi circle whose radius is 8cm

Answers

Answer:

Area of a semicircle = ½ × πr²

= ½ × 3.14 × (8)²

= 3.14 × 4 × 8

= 100.48 cm²

Help with permutations (no links or files)
How many ways can 3 different math books, 5 different chemistry books, and 7 different physics books be arranged on a shelf if the books of each subject must be kept together?

Answers

5040 ways

....!!....

Solve the following quadratic by
completing the square.
y = x2 + 10x + 10

Answers

Answer:

        x = -5 - √15    or   x = -5 + √15

Step-by-step explanation:

[tex]y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}[/tex]

Will mark brainliest for whoever answers correctly.

Answers

Answer:

-0.2588 but rounded is -0.26

Step-by-step explanation:

what is (2x + 5) + 3 < 22 ?

Answers

Inequality Form : x < 7
Interval Notation: (-∞, 7)

........????????....

Answers

Answer:

83438143e + 21

Step-by-step explanation:

83438143e + 21

What is the circumfrence of a circle with a diameter of 10 feet? Use 3.14 for pi. A P E X

Answers

Answer: 31.416

Step-by-step explanation: Multiply the diameter by pi OR you could divide the diameter by 2 and then use the formula 2(pi)(radius).

Jonathan is getting a raise from $12.50 per hour to $14.75 per hour.
His supervisor, Makayla, got a raise from $22.00 per hour to $25.30 per hour.
(a) How much in terms of dollars per hour is Jonathan’s salary going up?
(c) Who received the larger increase in salary in terms of dollars per hour?
(b) By what percent is Jonathan’s salary increasing?
(d) Who received the larger percent increase in salary?

Answers

A) $2.15 C)Makayla because hers went up by $3.30 B) ?D) Makayla had a higher percent

Isabelle rides her bike to school. The graph shows her speed at different point
times during her ride, explain what is going on in the graph using the words
increasing decreasing, constant

Answers

Answer:

0 to 2 minutes - Accelerating

3 to 4 minutes - Constant

6 to 8 minutes - Decelerating

9 to 11 minutes Accelerating

hope i have helped u

Step-by-step explanation:

The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table.
Population Count Per Year
2 3 4
Number of Years (x)
1
5
6
7
8
Population (y)
1,440 1,728 2,074 2,488 2,986 3,583 4,300 5,160
A regression equation for this data is y = 1, 200(1.2).

Answers

Answer:

D. 10,699

Step-by-step explanation:

The given data for the Population Count Per Year is presented as follows;

Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8

[tex]\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}[/tex]The data regression equation is y = 1,200·(1.2)ˣ

Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;

After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32

Therefore, the option which is the best prediction is 10,699.

URGENT HELP
Pqr is an isosceles triangle and prs is a straight line

Answers

Answer:

∠ QRS = 132°

Step-by-step explanation:

Since the triangle is isosceles then the 2 base angles are congruent, that is

∠ PQR = ∠ PRQ = [tex]\frac{180-84}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48°

∠ PRQ and ∠ QRS are adjacent angles , so

∠ QRS = 180° - 48° = 132°

Help me please I don't understand

Answers

Answer:

Q1: E N W G Y U

Q2: R D S Q

Q3: X

Q4: B M F P L

1. N 3. L 5. Q 7. W

2. G 4. B 6. E 8. Y

9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)

10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)

I can't add the points on the graph tho sorry:(

Mr. Smith provides a diagram of a food web and asks the students to identify the various ways matter is flowing through these relationships. The diagram is provided.


Based on the diagram, it is reasonable to conclude that matter could follow which of the following paths as it cycles through this ecosystem?

Plant seeds grass deer Plant seeds field mouse robin

Eagle deer plant seedsGrass deer mountain lion

Answers

Answer:

B would be the best answer

Step-by-step explanation:

:The Answer is B. A Web diagram shows what connects these different types of doctors.Also B makes the most sience to me.

If f(x) = x 2 + 1 and g(x) = 3x + 1, find f(2) + g(3).

Answers

f(2) = (2)² + 1
g(3) = 3(3) + 1
-
(2)² + 1 + 3(3) + 1
simplify
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f(2) + g(3) = 15

how to find 62%of $400​

Answers

Answer:

248

Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

(400:100)*62 =

(400*62):100 =

24800:100 = 248

Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{62}{x}=\frac{100\%}{400\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{62}=\frac{400}{100}

\Rightarrow x=248

Therefore, 400 of 62 is 248

Answer:

248

Step-by-step explanation:

[tex]\frac{y}{400}: \frac{62}{100}[/tex]

y · 100 = 62 · 400

100y = 24800

100y ÷ 100 = 24800 ÷ 100

y = 248

your kitchen clock has a radius of 8 inches. you want to know how much it will cost to cover the outside edge of the clock in silver that costs $2.50 per inch.​

Answers

Answer:

31 cents

Step-by-step explanation:

do 2.50 divided by 8 which is 31 cents per inch

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?

Answers

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?????

He would end up with 18,600

Answer: he earned 10 percent intrest.

ILL BRAINLIEST YOU
PLEASE HELP ME

Answers

Answer:

From greatest to least: AB, AC, BC

Find the area of the irregular shape.

Answers

Answer:

42

Step-by-step explanation:

Break the shape into regular shapes and find the area and then add them all up: 12+6+24=42

I need it fast please

Answers

I think the answer is C not 100% sure tho ...

How are finding the volume of a rectangular prism and a triangular prism alike

Answers

Answer:

the triangular prism is ⅓ the size of the rectangular prism. they have the same concept equation of:

rectangular prism - length×width×height

triangular prism - ½×length×width×height

they both have to multiply the base and height to find the volume

Answer:

Finding the volume of a rectangular and triangular prism are alike, one way is they use similar formula base x length x height. Another way is They both have rectangle in the prism.

Step-by-step explanation:

Can someone pls give me the answer to this?

Answers

Answer:

Step-by-step explanation:

OPTION 3

Rewrite the radical expression using rational exponents and simplify

Answers

Answer:

[tex]a {b}^{3} \sqrt[4]{5} [/tex]

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