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? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer 1

Answer:

$104,000.00

I tried, but I'm not a math whiz or anything.

Answer 2

The amount of interest is $1170.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal =$6500, rate of interest =4.25% and time period = 4 years.

Here, Amount = 6500(1+4.25/100)⁴

= 6500(1+0.0425)⁴

= 6500(1.0425)⁴

= 6500×1.18

= $7670

Interest = Amount-Principal

= 7670-6500

= $1170

Therefore, the amount of interest is $1170.

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Related Questions

How many pounds are in 6 tons, 200 pounds

Answers

Answer:

there are 12000 pounds in 6 tons

There are 12,200 pounds in 6 tons, 200 pounds .

To convert tons to pounds, we need to multiply the number of tons by the conversion factor of 2,000 pounds per ton .

A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds .

Given that there are 6 tons and 200 pounds, we can calculate the total weight in pounds as follows :

6 tons * 2,000 pounds/ton + 200 pounds = 12,000 pounds + 200 pounds = 12,200 pounds .

Therefore, there are 12,200 pounds in 6 tons, 200 pounds .

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How many pounds of $1.75/lb trail mix should a grocer combine with 3 lb of $3.75/lb trail mix to get $2.95/lb trail mix? I WILL GIVE BRAINLIEST. PLLLLS!!!

Answers

Answer:

1.847

Step-by-step explanation:

divide 2.45 and 1.75 dats ur ans

The grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Let's assume that the grocer needs to combine x pounds of $1.75/lb trail mix to the 3 lb of $3.75/lb trail mix.

To find out how many pounds of $1.75/lb trail mix are needed, we can use the following equation:

$1.75x + $3.75(3) = $2.95(x + 3)

Simplifying the equation, we get:

$1.75x + $11.25 = $2.95x + $8.85

Subtracting $1.75x from both sides, we get:

$11.25 = $1.20x + $8.85

Subtracting $8.85 from both sides, we get:

$2.40 = $1.20x

Dividing both sides by $1.20, we get:

x = 2

Therefore, the grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.

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. Marco has $100 in a savings account. He
puts in an additional $15 per week. Write an
equation to represent the total amount in
Marco's account after each week. Identify
your variables.

Answers

15x+100
x-number of weeks
100-starting amount

What is the slope the line?

Answers

Answer:

the slope is 3/4x

Step-by-step explanation:

if you need it in slope intercept form too its y=3/4x-1

A circle has a circumference of 1,133.54 units.What is the diameter of the circle?

Answers

Answer:

361 units

Step-by-step explanation:

Please help! (i'll give the best answer brainliest)

Answers

Answer:

I think False umm...

i'm so so sorry if im rong

Step-by-step explanation:

This statement is in fact true.

***PLEASE HELP ME WITH THIS I AM BEHIND*** I WOULD BE HAPPy

Which of the following values make the inequality x≤16.3 true?

Select all that apply. pick that all work more than one answer 17 points

. 18.5
. 8
. 16.3
. 14
. −3
. 32

Answers

Answer:

16.3, 14, 8, -3

Step-by-step explanation:

Any number less than 16.3 and 16.3 are acceptable answers

Is that right? Help, please

Answers

Answer:

The answer is GV and VD

Step-by-step explanation:

Those are the answers because of the points on the line. Please pick me as brainliest!!  :)

(3x-4)(x+5)= I need help with this fast

Answers

Answer:

3x^2+11x-20

Step-by-step explanation:

step 1 3x(x+5)-4(x+5)

step 2 3x(x+5)-4(x+5)= 3x^2+15-4(x+5)

step 3 3x^2+15x-4x+20

Given the set of ordered pairs: {(1,3), (2,7), (x,5), (6,4)}.
What is a value for x that would NOT make the set a function? Explain why.

Answers

Answer:

2

Step-by-step explanation:

2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.

Note:

The x-coordinate could also be 1 or 6 because they have been used as domains as well.

Hope it helps!

Michelle and Rhonda eat dinner at
la fancy restaurant, Their bill came to
$105.36. They gave their waiter a tip that
was 22% of the bill. About how much
money did they give the waiter for his tip.

Answers

Answer:

$22.17

Step-by-step explanation:

105.36 multiplyed by 0.22 ( you need to change the 22% to a decimal so just make it 0.22) then once you multiplyed them then you get your answer.

Which of the values in the set {1, 2, 3, 4} is a solution to the equation 3x + 3 = 15? (4 points) a 1 b 2 c 3 d 4

Answers

Answer:

3

Step-by-step explanation:

Answer: The answer is 4

Step-by-step explanation:
the x is equal to an exponent. Since 3x4 equals 12, and 12+3 equals 15

please answer these questions

Answers

What’s the question

Please solve this FAST!

Answers

Answer:

1 hour = 7.50

5 hours = 37.50

9 hours = 67.50

answer is

7.50 per hour.

97.50 = 13 hours

Step-by-step explanation:

like this

[tex] \frac{22.50}{3} [/tex]

or

[tex] \frac{52.50}{7} [/tex]

= 7.50/1 hour

hope it helps you ☺️

Answer:

1. 7.50

5. 37.50

9. 67.50

Unit rate- 15$ an hour.

She worked 11 hours.

Hope these answers are right and hope they help.

A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins 16% are pennies and 42% are dimes. There are 5 more nickels then pennies. How much does the bag contain

Answers

Answer: 21 Nickels

21 dimes

8 pennies

Step-by-step explanation:

I need help..........​

Answers

Answer:

[C] 3 ⅔

Explanation:

5 ⅓ - 1 ⅔

= 3 ⅔

HELP!! please, quick!

Answers

A because if the answers are all determined then you would have to doactuakly see them in the number line

Answer:

The answer is B

Step-by-step explanation:

To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)

The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)

Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

Answers

Answer:

[tex]c^2 = 9dp[/tex]

Step-by-step explanation:

Given

[tex]dx^2 + cx + p = 0[/tex]

Let the roots be [tex]\alpha[/tex] and [tex]\beta[/tex]

So:

[tex]\alpha = 2\beta[/tex]

Required

Determine the relationship between d, c and p

[tex]dx^2 + cx + p = 0[/tex]

Divide through by d

[tex]\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0[/tex]

[tex]x^2 + \frac{c}{d}x + \frac{p}{d} = 0[/tex]

A quadratic equation has the form:

[tex]x^2 - (\alpha + \beta)x + \alpha \beta = 0[/tex]

So:

[tex]x^2 - (2\beta+ \beta)x + \beta*\beta = 0[/tex]

[tex]x^2 - (3\beta)x + \beta^2 = 0[/tex]

So, we have:

[tex]\frac{c}{d} = -3\beta[/tex] -- (1)

and

[tex]\frac{p}{d} = \beta^2[/tex] -- (2)

Make [tex]\beta[/tex] the subject in (1)

[tex]\frac{c}{d} = -3\beta[/tex]

[tex]\beta = -\frac{c}{3d}[/tex]

Substitute [tex]\beta = -\frac{c}{3d}[/tex] in (2)

[tex]\frac{p}{d} = (-\frac{c}{3d})^2[/tex]

[tex]\frac{p}{d} = \frac{c^2}{9d^2}[/tex]

Multiply both sides by d

[tex]d * \frac{p}{d} = \frac{c^2}{9d^2}*d[/tex]

[tex]p = \frac{c^2}{9d}[/tex]

Cross Multiply

[tex]9dp = c^2[/tex]

or

[tex]c^2 = 9dp[/tex]

Hence, the relationship between d, c and p is: [tex]c^2 = 9dp[/tex]

please help me with this i need is rn thank you so much

Answers

Answer:

18

Step-by-step explanation:

C = 2πr

r = 3

2π(3) = 18.85

CAN SOMEONE PLEASE HELP, ILL GIVE BRAINLIEST.

Answers

Answer:

x = 3.5

Step-by-step explanation:

3.5 x 3 is 10.5. Triangle two has been expanded each side by 1.5. So multiply 7 (the side with 3x on the other triangle) x 1.5 to get 10.5. To fid x divide 10.5 by 3. This gives you 3.5 as x.

Hope it helps!

Answer:

x = 3.5

Step-by-step explanation:

What we know that the scale factor is 1.5 going from DEF to XYZ (4.5/3 = 1.5; 7.5/5 = 1.5)

So, multiply 7 by 1.5 to get ZX's length. It would be 10.5 units long.

We now know the equation, which is 3x = 10.5

3x = 10.5

Cancel out the multiplication by dividing both sides by 3

x = 10.5/3

Divide 10.5 by 3 to get 3.5

x = 3.5 in this case.

Find the Volume of a hemisphere that has a radius of 8 centimeters. Round to the nearest tenth

Answers

Answer:1072.3

Step by step:

use the hemisphere formula which is 2/3*pie*r^3

substitute 8 centimeters into the equation.

The Volume of a hemisphere is,

⇒ Volume of hemisphere = 1071.78 cm³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of hemisphere = 8 centimeters

We know that;

Volume of hemisphere = 2/3 (πr³)

Hence, We get;

⇒ Volume of hemisphere = 2/3 × 3.14 × 8³

⇒ Volume of hemisphere = 1071.78 cm³

Thus, The Volume of a hemisphere is,

⇒ Volume of hemisphere = 1071.78 cm³

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factor: p2−6−q(p2−6)2

Answers

Answer:

(p2−6)(1−2q)

Step-by-step explanation:

hope this helped <3

Calculate x
I ll mark you as the brainliest

Answers

Answer

x = 18 cm

Step-by-step explanation:

Here, we want to calculate the value of x

let half of x = b

so b is the base of each right-triangle

As we can see, the triangle is isosceles

we can calculate the length of the base of one of the smaller right angled triangle and multiply by 2 to get the full x length

According to Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

15^2 = 12^2 + b^2

225 = 144 + b^2

b^2 = 225-144

b^2 = 81

b = √81

b = 9

but x = 2b

x = 2(9)

x = 18 cm

Find the slope of the line
y=-7x - 2​

Answers

Answer:

-7

Step-by-step explanation:

Hi there!

In the form y=mx+b

M is equal to your slope

B is equal to your why intercept

If you have any of these questions in the future just look at m!

-7 means the point goes down seven and one to the right!

Hope this helps!

Have a wonderful day :)

Answer:

-7

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

y = (-7)x-2

m = -7

42/48 simplify and trlurn to decimal​

Answers

0.875
hope that helps
Both numerator and denominator are divisible by 6 so can simply to 7/8
1/8 is 0.125
0.125x7 is 0.875

HERES JOHNYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Johnny, Johnny
Yes, papa?
Eating sugar?
No, papa.
Telling lies?
No, papa.
Open your mouth!
HAHAHAH!

The recipe calls for 2 cups of flour for every cup of sugar.

What is the ratio of sugar to flour?

Answers

The ratio is 1:2
Hope this helps!!!!
The answer is 1:2 I think

Use quadrilateral ABCD with A(1, 5), B(2, 6), C(3, 3) and D(1, 3) and its transformation A'B'C'D' with A'(-3, 1), B'(0, 4), C'(3, -5) and D'(-3, -5). What is the scale factor of the transformation

Answers

Answer:

The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3

Step-by-step explanation:

Quadrilateral ABCD has the following coordinates

A(1, 5), B(2, 6), C(3, 3) and D(1, 3)

The image A'B'C'D' has the following coordinates;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2

The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10

The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2

The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2

For quadrilateral, we have;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {A'B'}[/tex] =  √(0 - (-3))² + (4 - 1)²) = 3·√2

The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10

The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6

The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6

The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;

[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]

Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3

Given the equation: y = -3x + 5

Which of the following equations would create a system of equations with INFINITE SOLUTIONS?

A) y = 1/3x - 5

B) y = 5 + -3x

C) y = 3 + 5x

D) y = 5x +3

Answers

Answer:

B

Step-by-step explanation:

They both are the same equation with the same slope and y intercept which means that they are the same line, thus concluding that they will have infinite points of intersection.

I think it’s B) not sure but hope it helps

Vincent van Gogh is making one-color versions of all his paintings. He uses the colors in the following order and then starts over from the beginning: red blue pink green a purple. what color is painting 31?

Answers

Answer:

The color of painting 31 is RED

Step-by-step explanation:

it should be red :)

Vincent vanThat answer is 37

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