Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?

Answers

Answer 1

Answer:

Rate 1: 8

4

1

%=8+1/4=

8.25

%

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

0.085

8.5%→0.085

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Compounded Continuously:

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Compounded Daily:

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

How much more money Daniel has:

60025.6058

Rate 1: 8

4

1

%=8+1/4=

8.25

%

0.0825

8.25%→0.0825

Rate 2:

8

1

2

%

=

8

+

1

/

2

=

Rate 2: 8

2

1

%=8+1/2=

8.5

%

0.085

8.5%→0.085

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Calculate Final Amount for Ellie

Compounded Continuously:

Compounded Continuously:

A

=

P

e

r

t

A=Pe

rt

P

=

13000

r

=

0.0825

t

=

18

P=13000r=0.0825t=18

Given values

A

=

13000

e

0.0825

(

18

)

A=13000e

0.0825(18)

Plug in

A

=

13000

e

1.485

A=13000e

1.485

Multiply

A

=

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Calculate Final Amount for Daniel

Compounded Daily:

Compounded Daily:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

13000

r

=

0.085

t

=

18

n

=

365

P=13000r=0.085t=18n=365

Given values

A

=

13000

(

1

+

0.085

365

)

365

(

18

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

A

=

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

A

=

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

How much more money Daniel has:

60025.6058

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

2631.0554

$

2631

$2631

Round to the nearest dollar

Step-by-step explanation:


Related Questions

What would be the angles for D, E, and F?

Answers

Answer:

D:21

E:126

F:33

Step-by-step explanation:

3x+18x+5x-2=180

26x-2=180

26x=182

x=7

Use the table below to determine the approximate height of the flag pole.

Answers

Answer:

B 17.5 ft

Step-by-step explanation:

tangent = opposite / adjacent

tan 35° = h / 25

multiply both sides by 25

h = 25 (tan 35°)

tan 35° = 0.70 (from your calculator)

h = 25 (0.70)

h = 17.51 ft.

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality?


Answers

Answer:

I am sorry but i need more information to anwser this question. I need to be able to see the symbol in order to help you. Have a great day! I hope you got them right!

Answer:

no :)

Step-by-step explanation:

Simplify 9x^0y^-3 write your answer using only positive exponents 

Answers

Answer:

9x/y³

Step-by-step explanation:

The simplification of the expression 9x⁰y⁻³ will be 9/y³.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

As per the given expression,

9x⁰y⁻³

By the law of indices that, [tex]x^{-m}[/tex] = 1/[tex]x^{m}[/tex]

9x⁰y⁻³ = 9x⁰ × 1/y³

⇒ 9(1)/y³ = 9/y³

Hence "The simplification of the expression 9x⁰y⁻³ will be 9/y³".

To learn more about indices,

https://brainly.com/question/170984

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Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.

Write an inequality to determine the number of days Diego’s father can drive the car before the warning light comes on. Use t as your variable.

Answers

his father can drive 25 days without the warning light

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a
radius of 3.5 cm. How much water is needed to fill 50 cups?
Use 3.14 for pi and do not round your answer.

Answers

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

Select all equations that have x = 3 as a solution.

Answers

Answer:

Plug in a 3 every time you see an "x" and the left side should equal the right side

Step-by-step explanation:

Find the slope that passes through the two points. (9,3) and (6,7)

Answers

Answer:

m=4/-3

Step-by-step explanation:

the equation for slope (m) when given two points is (y2-y1)/(x2-x1)

we are given the points (9,3) and (6,7)

we can label the points:

x1=9

y1=3

x2=6

y2=7

now substitute into the equation

m=(7-3)/(6-9)

subtract

m=4/-3

the slope is 4/-3

hope this helps!

If I have 48 cards and and gave 10 to my friend and I have 38 left what what fractionbb be is my original number of cards

Answers

Question isn't well formatted :

If I have 48 cards and and gave 10 to my friend and I have 38 left. what fraction of original number of card do I have left.

Answer:

0.7917

Step-by-step explanation:

If I have 48 cards and and gave 10 to my friend and I have 38 left what what fractionbb be is my original number of cards

Given that :

Total number of cards = 48

Number given to friend = 10

Number of cards left = 48 - 10 = 38

Number of cards left / original number of cards

38 / 48

= 0.7917

Today, where does our culture stand on issues of racism and discrimination? What civil rights issues are we currently dealing with? What should be the responsibilities of both whites and blacks? Explain.

Answers

Answer:

Step-by-step explanation:

help me find the answer, please!

Answers

Answer:

7/10

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Hey There!

there are a total of 10 balls and only 3 out of the ten are pink

so the probability of them picking a pink one is 3/10 and the probability of them not picking a pink one is 7/10

guys please help i have 5 mins left please 50 points

Answers

Answer:

domain: (4, 1, 0, -1, 1)

range: (2, 3, 0, -1, -3)

Step-by-step explanation:

domain: x-values

range: y-values

Answer:

Domain: {-1, 0, 1, 4}       Range: {-3, -1, 0, 2, 3}

Step-by-step explanation:

Hi there,

To find the domain, list all of the x values and put them in numerical order. Don't repeat the same numbers.

Do the same thing for the y values when finding the range.

Hope this helps. Cheers.

Ms. Aluma is 165 cm tall. She wants to find her height in meters. Divide her height in centimeters by 100 to find her height in meters.

Answers

1.65 meters...........

Unit conversion is a way of converting some common units into another without changing their real value. Ms. Aluma is using the correct option.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that Ms Aluma is 165 cm tall and She wants to find her height in meters. Therefore, if we divide her height in centimeters by 100 to find her height in meters.

Since 1 meter is equal to 100 cm, therefore, the method used by Ms. Aluma is correct. Therefore, the height of Unit conversion is,

Height of Ms. Aluma = 165 cm

                                  = 165/100 meters

                                  = 1.65 meters

Hence, Ms. Aluma is using the correct option.

Learn more about Units conversion here:

https://brainly.com/question/4736731

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[Help asap, will mark brainliest] The figure below has a point marked with a large dot. First, translate the 5 figure units to the left.
Then, give the coordinates of the marked point in the original figure and the final figure.

Point in original figure: (?, ?)

Point in final figure: (?, ?)

Answers

Answer:

Original (7,-3)

Final (2,-3)

Step-by-step explanation:

I need to write a equation for this graph​

Answers

Answer:

y= 2x + -2

Step-by-step explanation:

y=4/2x-2 hope this helps!! :)

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed.

• Plumber W estimated that the radius had a length of 3/25 inches.
• Plumber X estimated that the radius had a length of \|3/11 inches.
• Plumber Y estimated that the radius had a length of 9/100 inches.
• Plumber Z estimated that the radius had a length of pi/24 inches.

Which list shows these lengths in order from greatest to least?

Answers

Answer:https://brainly.com/question/22157981

Step-by-step explanation:

https://brainly.com/question/22157981

I need help for geometry

Answers

the answer is 38 i believe?

Can someone plz help me with this one problem plz!!!

I WILL MARK BRAINLIEST!!!

Answers

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)

Functions A function is defined by the equation f(x) = 2x - 5​

Answers

2 x 1 is 2x -5 = 3 so you js subtract the 2 get 3x -5 = -2

The graph of which line intersects the graph of y + 10 = -5(x - 1) in only one point?

Answers

A

First, I’m going to the line is question into slope intercept form.
y + 10 = -5x + 5
y = -5x + 5 -10
y = -5x -5
y + 10 = -5 (x - 1) becomes y = -5x -5 in slope intercept form. I will call this line ‘line 1’

A becomes y = 5x -15 in slope intercept form
B becomes y = -5x + 25 in slope intercept form
C becomes y = -5x -5 in slope intercept form
D becomes y = -5x + 10 in slope intercept form

C is the same line as line 1. Any point that is on line 1 is also on line C, so C cannot be it.

Notice that line B and D have the same slope but different y-intercepts as line 1. That means these lines are parallel (not the same line though - different y intercepts) to line 1, so they will never intercept.

Line A has a different slope vs line 1, so they will eventually intersect only once

What is 34 * 67 equal too?

Answers

2,278.
24 x 67 is 2,278

Answer:

Your answer will be 2278 hope this helps

Step-by-step explanation:

if u need the steps just ask me

Can someone help me do 13, 14 and 15 thank u

Answers

Answer:

Step-by-step explanation:

help!! i’m super confused on these math question explain !!

Answers

You are being asked to draw a line perpendicular to the graphed line which passes through the point (-6,5)

The slope of a perpendicular line is the opposite reciprocal: meaning you change the sign (from - to + or from + to -) and flip the numerator and denominator (for example if your slope is -2, the perpendicular line’s slope would be 1/2).

First, find the slope of the graphed line. The two points you are given are (-1, 4) and (-2, 7). The formula for slope is m = (y2 - y1) / (x2 - x1) where m is the slope, and (x1, y1) and (x2, y2) are points. Plugging these points into the slope formula you get:
m = (7-4)/ (-2+1) = 3/-1 = -3.

The opposite reciprocal of -3 is 1/3, so the slope of the new line is 1/3.

In slope-intercept form, equations look like this: y = mx + b. M is your slope, and b is your y-intercept. You know the slope of the perpendicular line is 1/3 but still need to find the y intercept. To do this, first plug in your slope to the formula: y = 1/3x + b. Next, plug in (-6,5) to the equation for x and y and then solve for b.
5 = 1/3(-6) + b
5 = -2 + b
7 = b

Now you know what b is, you now have the full equation of the line: y = 1/3x + 7. You can now graph the line, too.

For #2, you are being asked to draw a line parallel to the graphed line which passes through the point (6,5)

The slope of a parallel line is the same as the slope of the original line.

The two points you are given are (-6,0) and (0,9). Plug these into the slope formula:
m = (9-0)/(0+6) = 9/6

The equation of the parallel line so far is y = 9/6x + b

Plug the point (6,5) into the equation to solve for b.
5 = 9/6(6) + b
5 = 9 + b
-4 = b

The equation is y = 9/6x -4. Now you just have to graph it.

I hope this helps :)

Write the equation 3x + 6y = 12 in slope intercept form.

Answers

Answer:

Step-by-step explanation:

Caden, Zoe, and Sophia shared a pizza. Caden ate 20 percent of the pizza. Zoe ate 50 percent more of the pizza than Caden ate. Noah ate 50 percent more of the pizza than Zoe ate, and Sophia ate the rest of the pizza. Find the percentage of the pizza that Sophia ate.

Answers

Answer:

Step-by-step explanation:

c=.2, z=1.5(.2), n=1.5(1.5).2

s+c+z+n=1

s+.2+1.5(.2)+1.5(1.5).2=1

s+.2+.3+.45=1

s+.95=1

s=.05

So Sophia ate 5% of the pizza

Answer:

Sophia ate 5%.

Step-by-step explanation:

Caden ate 20%. Zoe ate 50% more than him, so 150% of 20%. That is 20+half of 20, which is 30. So zoe ate 30%. Noah ate 50% more than her, so 150% of 30%, which is 45%. Add them together and get 95%. That leaves 5% for Sophia to eat.

4
3.
A factory can produce 720 wagons in an 8-hour
day. What is the unit rate per hour?
sle
B.

Answers

Answer:

9

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i think its 90 because if 720 could be produced in 8 hours then 90 are being produced each hour

Which angle is complementary to DFE? Pls answer

Answers

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

Write each number in standard form.

7.3 × 10 -2

Answers

Answer:

10^-9

Step-by-step explanation:

Please help me with finding the length of AC. I’ll make this 20 points since it’s kinda long. Please don’t guess my grades depends on it

Answers

Since the triangle is a right angled, to find one side we should use the pythagoras theorem.

The longed side of the triangle is called the hypotenuse.

In equation form:  x² + y² = z²

Therefore: 12² + x² = 13²

114+x²= 169

x²= 169-114

x²= 55

x = 7.41

Therefore the length of AC = 7.41

How much simple interest will sean earn of $200 if he invest it for 3 years at 8% interest? ​

Answers

Answer:

$48

Step-by-step explanation:

He will earn $16 interest for one year. After 3 years, that will triple to $48

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