Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it.

At the end of the 4 years, how much interest in dollars and cents did the account earn?

Answers

Answer 1

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.


Related Questions

help me please, i don’t get it loll

Answers

Answer:

subtract to find A

Step-by-step explanation:

You have to subtract and then that number that you get is a

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2

A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?

Answers

He should get $855. 28500 x 3% = 855

can you help me please ​

Answers

Answer:

25/6

Step-by-step explanation:

solve : 2⁴
I need to show work​

Answers

Answer:

16

Step-by-step explanation:

2 to the power 4

2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16

2⁴=16

2•2=4

4•2=8

8•2=16

hope i helped. (:

Find the product.
10(-7)

Answers

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

-70 (multiply what’s in the parenthesis and since there’s only one negative number in your problem it’s negative

Sheldon is creating a graph to represent the trip he takes from his home to his favorite clothing store. In his graph, one unit on the coordinate plane is equal to one mile. He draws a point at $\left(4,\ 3\right)$ to represent the location of his house. The store is $5$ miles away from his house. Which coordinate pairs could represent the location of Sheldon's favorite clothing store?

Answers

Answer:

hjgfghjk

Step-by-step explanation:

:)

15 pints because 2 questions

Answers

Answer:

1.its B

2.G

Step-by-step explanation:

One angle of a right triangle measures 34°. What is the measure of the other acute angle?

Answers

Answer:

Step-by-step explanation: one has to be 90 degrees, so 34 plus 90. The angles of a triangle always add up to 180 so, subtract the answer of 34 plus 90 from 80 and you should get the answer.

I need help it’s only one question

Answers

Answers and Step-by-step explanations:

9:  (4/6) (-5/8)  

This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother.  Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,)  You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48.  Simplify and you get -5/12.  

10:  (3/4) (-1/5)  

Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20.  This is the lowest it can be simplified to, so therefore your answer is -3/20.  

11.  (-1/8) (-6/7)  

Multiply -1 and -6 to get 6, (since two negatives make a positive.)  Multiply the denominators, (8 and 7,) to get 56.  This maks 6/56, which simplifies to 3/28.  

12.  (-4/9) (1/5)  

Multiply the numerators, (-4 and 1,) to get -4.  Multiply the denominators (9 and 5,) to get 45.  Your answer is -4/45.    

I'm really sorry if I'm wrong for anything, hope this helps!  :)

Please help !! (no fake answers please !!) I'll mark brainlist.

Answers

Answer: area mean multiply

Step-by-step explanation:

Answer:

76 feet (Just put 76 in the answer box)

Step-by-step explanation:

Knowing the perimeter of a rectangle is 2l + 2w, multiply 2 by 3.5. Then multiply 2 by 4.5, and add them together.

2(3.5) + 2(4.5)

The two products would be 7 and 9 respectively.

7 + 9 = 16 feet of fencing for 1 rabbit pen.

We have 2 pens, so multiply 16 by 2.

The rabbit pens need 32 feet of fencing.

(Alternatively you could have done 2(2(3.5 + 4.5)).

2(2(8))

2(16)

32 ft of fencing (rabbit pens))

Now, add 12 and 10. Then multiply that by 2.

2(12 + 10)

2(22)

The garden needs 44 feet of fencing.

Now add 32 and 44 to get the total amount of fencing needed.

32 + 44

The rabbit pens and the garden need 76 feet of fencing. (Just put 76 in the answer box as the unit (feet) is already given.)

Please help me ASAP

Answers

(-4,1) if I get it wrong I tread
The correct answer is(-3,4)

help please lol yuhaaaaaas

Answers

Answer:

When you read the points on the graphs answer choice A is the only answer choice with all of the points grasped correctly.

9 ounces = how many pounds? in fraction form

Answers

Answer:

9/16 pounds

Step-by-step explanation:

1 pound = 16 ounces

With this information, we have make a proportion to find the number of pounds 9 ounces is

Let p = the number of pounds

16/1 = 9/p

Multiply both sides by 1 to get

16 = 9/p

Multiply both sides by p

16p = 9

Divide both sides by 16

p = 9/16

This fraction is in its simplest form and can't be simplified any more.

Answer:

9/16 is the answer brainliests

Step-by-step explanation:

can someone please help with this? will give brainliest

Answers

Answer:

0.004

Step-by-step explanation:

Just mutiply and divide by 2

y=-6x-4 as integer form

Answers

Answer:

y=-24

Step-by-step explanation:

hope this will help you

In your own words what is the definition of reflection (in geometry)

Answers

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

Un elev a depus la banca suma de 250 lei. Știind ca banca oferă dobânda anuala de 1%,iar stația impozitează dobânda cu 16%,aflati ce suma va avea elevul după un an de depunere.

Answers

Răspuns:

292,50

Explicație pas cu pas:

Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17

Suma principală depusă, P = 250

Suma totală, A după 1 an poate fi calculată astfel:

A = P (1 + rt)

Unde ; r = rata dobânzii; t = timp

A = 250 (1 + (0,17 * 1))

A = 250 (1,17)

A = 292,5

HELP PLEASE CHECK MY ANSWER!!!

Answers

Answer:

its almost correct but its just a little bit off

Step-by-step explanation:

1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.

2. on the left side its going to be right before -2.

3. on the bottom its going to be moved down to -18 and a little bit out going to the right.

the picture is right there hope it helped

Tell whether each equation has no solution, one solution, or infinitely many solutions.
3x-12=3x+1

Answers

There are no solutions to the equation.
Subtracting 3x from both sides gets you -12 = 1 which is never true therefore for any value of x you choose the equations will never equal each other

what is the volume of the sphere?

Answers

2304π is the answer and if you don’t want pi it’s 7238.2294738709 feet

Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?

Answers

Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

Use the limit definition of the derivative to find the slope of the tangent line to the curve
f(x)= 7x^2 + 7x + 3 at x= 4

Answers

Answer:

[tex]\displaystyle f'(4) = 63[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Expand by FOIL (First Outside Inside Last)FactoringFunction NotationTerms/Coefficients

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]  

Step-by-step explanation:

Step 1: Define

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Substitute in function [Limit Definition of a Derivative]:                              [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x + h)^2 + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Expand [FOIL]:                                                                    [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7(x^2 + 2xh + h^2) + 7(x + h) + 3]-(7x^2 + 7x + 3)}{h}[/tex][Limit - Fraction] Distribute:                                                                            [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[7x^2 + 14xh + 7h^2 + 7x + 7h + 3] - 7x^2 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x²):                                                     [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7x + 7h + 3 - 7x - 3}{h}[/tex][Limit - Fraction] Combine like terms (x):                                                      [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h + 3 - 3}{h}[/tex][Limit - Fraction] Combine like terms:                                                           [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{14xh + 7h^2 + 7h}{h}[/tex][Limit - Fraction] Factor:                                                                                 [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{h(14x + 7h + 7)}{h}[/tex][Limit - Fraction] Simplify:                                                                               [tex]\displaystyle f'(x)= \lim_{h \to 0} 14x + 7h + 7[/tex][Limit] Evaluate:                                                                                                 [tex]\displaystyle f'(x) = 14x + 7[/tex]

Step 3: Find Slope

Substitute in x:                                                                                                [tex]\displaystyle f'(4) = 14(4) + 7[/tex]Multiply:                                                                                                           [tex]\displaystyle f'(4) = 56 + 7[/tex]Add:                                                                                                                  [tex]\displaystyle f'(4) = 63[/tex]

This means that the slope of the tangent line at x = 4 is equal to 63.

Hope this helps!

Topic: Calculus AB/1

Unit: Chapter 2 - Definition of a Derivative

(College Calculus 10e)

Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?

Answers

Answer:

3 spoons and 6 forks

Step-by-step explanation:

9 = x + y; x= 9-y

44 = 4x + 6y

44 = 4(9-y) + 6y

44 = 36 - 4y +6y

44 = 36 +2y

2y = 44-36 = 12

y = 12/2 =6

x= 9-y = 9-6 =3

Answer: she bought five spoons & four forks.

Explanation: 4 x 4= 16 + 6 x 4 = 24 + 4 = $44 or 4 x 5 = 20

The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone

Answers

Answer:

14x-4

Step-by-step explanation:

2(3x-2)+2(2x-4x+8)

6x-4+4x-8x+16x

14x-4

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

a. 2

b. 1/2

c. -3

d. 2/3

Answers

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

Ok last question its very "hard" mods don't delete

what is 3x+12= 42

Answers

Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

2/5 divided by 4 and reduce the answer

Answers

Answer:

1/10 i guess

Step-by-step explanation:

2/5=0.4

0.4/4=0.1

0.1=1/10 (one tenth_

Answer:

1/10

Step-by-step explanation:

2/5 ÷4 is the same as 2/20, which is 1/10

Which expressions have exactly two factors? Choose ALL that apply.

Please Help

Answers

Answer: xy and 3(b - 1 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

this expression is xy and 3(b-1)

plz help this is what might get m to a 100 so plz help me

Answers

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

Other Questions
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