Lincoln invested $2,800 in an account paying an interest rate of 5\tfrac{3}{8}5
8
3

% compounded continuously. Lily invested $2,800 in an account paying an interest rate of 5\tfrac{7}{8}5
8
7

% compounded quarterly. After 15 years, how much more money would Lily have in her account than Lincoln, to the nearest dollar?

Answers

Answer 1

Answer: 445

Step-by-step explanation:

Lincoln’s Final Amount:

Compounded Continuously: A=Pe^rt

P= 2800

r= 0.05375

t=15

A=2800e^0.05375(15)

A=2800e^0.80625

A=6270.5833

Lily’s final amount:

Compounded quarterly:

A=P(1+r/n)^nt

P=2800

r=0.05875

t=15

n=4

A=2800(1+ 0.05875/4)^4(15)

A=2800(1.0146875)^60

A=6715.7829

How much more money does Lily have?

6715.7829-6270.5835

=445.1994

Answer 2

The money would Lily have in her account than Lincoln, to the nearest dollar 445.

We have to determine the compound interest Lincoln’s final amount

Compounded Continuously

A=Pe^rt

P= 2800

r=0.05375

t=15

A=2800e^0.05375(15)

A=2800e^0.80625A=6270.5833

What is the formula for compound interest?

A=P(1+r/n)^nt

P=2800

r=0.05875

t=15

n=4

A=2800(1+ 0.05875/4)^4(15)

A=2800(1.0146875)^60

A=6715.7829

=6715.7829-6270.5835

=445.1994

Therefore money would Lily have in her account than Lincoln, to the nearest dollar 445.

To learn more about the interest visit:

https://brainly.com/question/2151013#SPJ2


Related Questions

Which pair of vectors is orthogonal?

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⟨2, –3⟩ and ⟨9, –6⟩
⟨–2, 3⟩ and ⟨–6, –4⟩
⟨–5, 4⟩ and ⟨–4, –2⟩

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Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

C on edge

Step-by-step explanation:

what has to be the same in order to add fractions?

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Answer: The denominator

Explanation: you can’t add 3/12 and 2/6. You would have to change it to 3/12 + 4/12.

How should I go about solving this question?

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Answer:

A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length

Step-by-step explanation:

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A liquid starts at a temperature of 210 degrees and cools in a room held at a constant 68 degrees. After 8 minutes of cooling, it is at a temperature of 97 degrees. The temperature, F, can be modeled as a function of time in minutes by the equation
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It would be round 180 degrees

what is 2/4 × 1/4 + 1/4 ÷ 3/4


renegade renegade woo hah hah boom boom boom boom​

Answers

Answer

0.45833333333

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Solve the system of equations. y=-3/2+9
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Answers

y=-1.5+9=7.5
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the y-intercept is the y -value of the point at which the graph of a function crosses the y-axis True or False​

Answers

Answer:

True

Step-by-step explanation:

The y intercept is where the line "crosses through" or "goes through" the y axis.

What is the size of angle s !!

Answers

The sum of the angles of a quadrilaterals is 360 so 8s=360 s=45

A rectangular price tag has a perimeter of 24 centimeters. Its area is 27 square centimeters. What are the dimensions of the price tag?

Answers

The answer is 3x9

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3*2+9*2=24


And area is b*h

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Connor has five nickels in one hand and some dimes in his other hand. He has more than two times as many dimes as nickels. He has fewer than three times as many dimes as nickels.

Answers

Complete question :

How many dimes might he have?

How many coins would he have altogether?

Answer:

11, 12, 13, 14 ;

16, 17, 18, 19

Step-by-step explanation:

Let :

Nickel = n

Dimes = d

Total number of nickels = 5

He has more than 2 times as many dimes as nickels ;

d > 2n

d > 2*5 ; d > 10

He has fewer than 3 times as many dimes as nickels;

d < 3n

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Meaning he has more than 10 dimes but less than 15.

10 < d < 15

So, d could be ;

11, 12, 13, 14

Number of coins altogether :

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12 + 5 = 17

13 + 5 = 18

14 + 5 = 19

Find the slope hurryyy

Answers

Answer:

-5

Step-by-step explanation:

Answer:

The slope is -5

Step-by-step explanation:

hope it helps....

have a great day!!!

table represents a quadratic function?
Which

Answers

Answer: third graph -4,2 -2,-7

Step-by-step explanation:

The ratio of sixth-grade students to fifth-grade students in the Kirkpatrick Elementary school band is 5:4. If there are 20 fifth-grade students in the band how many sixth-grade students are in the band?

Answers

Answer: 25 sixth graders

Step-by-step explanation:

Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.

To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:

5                   :            4

x                    :            20

4x = 100

x = 100 / 4

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In ABC, b = 68 inches, B=65° and C=93º. Find the length of a, to the nearest
inches

Answers

Answer:

28inches

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

∠A + 65° +93° = 180°

∠A + 158° = 180°

∠A= 180°-158° = 22°

Using Law of Sines

a/sinA= b/sinB

a/sin22= 68 inches/sin65

a/sin22 = 68/0.9063 = 75.03

a = 75.03 x sin 22

a = 75.03 x 0.3746 = 28.106238≈28 inches

Help plz it would mean a lot thanks

Answers

Answer:

1. 128 cm^3

2. 28 ft^3

3.  45 yd^3

4. 675 in^3

5. 83.7 mm^3

6. 144 cm^3

Step-by-step explanation:

just multiply

Find the value of x.
48
(7x + 13)
A. 7
B. 11
C. 3
D. 5

Answers

The value of x is D. 5

A restaurant offers a dinner salad for $3.75. There is a choice of a lettuce salad or a spinach salad. Then there is a choice of one topping from mushrooms, beans, or cheese. Finally, there is a choice of dressing from ranch, oil, or vinegar. How many different salad combinations are possible?

Answers

Answer:

There are 12 possible salad combonations

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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Answers

Answer: Function A; 14 meters per seond

Step-by-step explanation:

do Distance/time for Function A: so you can show 140/10, or 280/20, it doesnt matter as they are all constant/consistent.

A has a rate of 14 m/s

B's  rate is given, 13 m/s

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Answers

Answer:

it should look like this

5. A line passes through the point (-2,6) and has a slope of 3/4. Which of the following points
would also be on this line?
a) (1, 10)
b) (-10,0)
c) (-5,2)
d) (2,3)

Answers

Answer:

A

Step-by-step

(Please Help Asap!)

Find the volume of a cylinder having a height of 105 millimeters and a base with a diameter of 40 millimeters. Use the volume formula and 22/7 for π.

Choose the values for r and h. (1 H and 1 R)

h = 22/7
h = 105
r = 20
r = 40

Answers

Answer:

132,000 millimeters squared, H= 105, R= 20

Step-by-step explanation:

Volume equation (r= radius, h = height)

v= (pie)x r^2 x h

Pie = 22/7

r = 1/2 the diameter, so 40/2= 20. r = 20

h = 105

Substitute

(22/7) x 20^2 x 105

20^2 = 400

(22/7) x 400 x 105 = 132,000

as a mixed number
13
Write
as a mixed number.
6

Answers

Answer:

2 (1/6)

Step-by-step explanation:

when 13 is divided by 6, the remainder is 1 with the result of 2. In the format of a(b/c), the result is a, the remainder is b, and the divisor is c.

Answer:[tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

Converting to a mixed number using long division with remainders for 13 ÷ 6.

       13÷6=2R1

Therefore:

        [tex]\frac{13}{6}=2\frac{1}{6}[/tex]

On a hot day, a football team drank an entire 40-gallon cooler of water and half as much again. How much water did they drink?

Answers

Answer:

60 gallons

Step-by-step explanation:

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Shirley bought 20.8 pounds of bird seed at a bargain store. She wants to fill her feeder 100 times
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Answers

Answer:

0.208

Step-by-step explanation:

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Answer:

0.208

Step-by-step explanation:

the number of squirrels in a park at the end of the month

Answers

Using the given recursive function, we have that:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

What is the recursive function for this problem?


The recursive function for this problem models the number of squirrels in the park at the end of month n+1, considering the amount present at the end of month n, as follows:

[tex]S_{n+1} = 1.6S_n - 30[/tex]

For this problem, we have that at the amount at the end of May is of 70, hence:

[tex]S_{5} = 70[/tex]

Hence, we find the amounts at the end of June, July and August, as follows:

[tex]S_6 = 1.6(70) - 30 = 82[/tex].[tex]S_7 = 1.6(82) - 30 = 101[/tex].[tex]S_8 = 1.6(101) - 30 = 132[/tex].

Hence:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

More can be learned about recursive functions at https://brainly.com/question/489759

#SPJ1

Can Someone help me with this work

Answers

Answer:

Oar City is cheaper

Step-by-step explanation:

27/3=9 (Boat Bunker)

45/9=5 (Oar City)

$4 Cheaper than Boat Bunker

Brainlist?

Answer: Oar City is the answer.

Step-by-step explanation:

Write and expression that could determine the area of the rectangular field.

Determine the length and width of the field rounded to the nearest tenth if the area is 300 ft2.

Answers

Answer:

to find the area of a rectangle multiple the length by the with the formula is 8 = LW where a is the area l is the length w is the width and* means multiple

Can someone please help me with this

Answers

Answer: 15 and 1/4

Step-by-step explanation:

3 + 4 + 3 + 4 + 3/16+3/16+7/16 + 7/16

14 + 20/16

14+ 1 4/16

15 and 1/4

what is the correct answer to this division monomial?
63a5 b4 c7
-7a3 b4 c5

Answers

Answer in image V

I couldn't write it as a fraction in here

Which is the better value? Circle it. 3 sandwiches for 15.00 or 4 sandwiches for 21.00?

Answers

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

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