Lincoln invested $440 in an account paying an interest rate of 5\tfrac{7}{8}5 8 7 ​ % compounded continuously. Robert invested $440 in an account paying an interest rate of 5\tfrac{1}{2}5 2 1 ​ % compounded daily. After 11 years, how much more money would Lincoln have in his account than Robert, to the nearest dollar?

Answers

Answer 1

Answer: $34

Step-by-step explanation:

Answer 2

After 11 years,188.76 more money would Lincoln have in his account than Robert

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lincoln invested $440 in an account paying an interest rate of 7 ​% compounded continuously.

Robert invested $440 in an account paying an interest rate of 5 ​ %.

We need to find how much more money would Lincoln have in his account than Robert in 11 years.

[tex]A=Pe^{rt}[/tex]

For Lincoln:

P=440,

r=7%=0.07

t=11

A=440e⁰⁰⁷ˣ¹¹

A=440e⁰⁷⁷

A=949.96

For  Robert,

P=440,

r=5%=0.05

A=440e⁰⁰⁵ˣ¹¹

A=440e⁰⁵⁵

A=761.2

Now find the difference of Albert and Robert money

949.96-761.2

188.76

Hence, After 11 years,188.76 more money would Lincoln have in his account than Robert

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Related Questions

A number between 10 and 20 is both a foctor of 60 and
a multiple of 6.
What is the number?​

Answers

Answer:

12

Step-by-step explanation:

List out factors of 60 =

1 x 60 = 60

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.

List out multiples of 6 from 10 to 20.

12 and 18.

Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.

Cosx=4/5 what is sin2x cos2x and tan2x

Answers

Answer:

-24/5

Step-by-step explanation:

The solution to the problem is as follows:

cscx < 0 means 1/sinx < 0, or sinx < 0.  

sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established

sinx is negative.  

sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25  

cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5  

tan2x = sin2x / cos2x = -24/5

For each parallelogram below, find the value of x.
Will give brainliest for full answer

Answers

Answer:

x = 3 and x = 8

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, then

WA = DR , substitute values

12x - 9 = 5x + 12 ( subtract 5x from both sides )

7x - 9 = 12 ( add 9 to both sides )

7x = 21 ( divide both sides by 7 )

x = 3

------------------------------------------------------

The diagonals of a parallelogram bisect each other, then

QS = [tex]\frac{1}{2}[/tex] QT , that is

8x - 14 = [tex]\frac{1}{2}[/tex] × 100 = 50 ( add 14 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Answer:

x = 3 and x = 8

Step-by-step explanation:

Hope this will help

Which expression is equivalent to -2(x - 5) - 9x?
11x - 5

7x + 10

-11x - 5

-11x + 10

Answers

Answer:

-11x+10

Step-by-step explanation:

-2(x-5)-9x

Distribute:

-2x+10-9x

Combine like terms:

-11x+10

Hope this helps!

-2x + 10 - 9x

-11x + 10 is the answer

HELP! WORTH 25 POINTS. Which sets of ordered pairs represent functions from A to B? (Select all that apply.)


A = {0, 1, 2, 3} and B = {−2, −1, 0, 1, 2}

A. {(0, 2), (3, 0), (1, 1)}

B. {(0, 0), (1, 0), (2, 0), (3, 0)}

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

D. {(0, 1), (1, −2), (2, 0), (3, 2)}

Answers

Answer:

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

hope it helps you

can someone please help me

Answers

Answer:

A. 3*6-4-4

Step-by-step explanation:

He starts with 3 rows of 6 eggs, which can be shown in the formula 3*6, and each time he is taking away 4 eggs and hew does that twice so the only logical explanation is A. 3 x 6 - 4 - 4.

can u pls help me i need help​

Answers

Answer:

cbbbbb

Step-by-step explanation:

Her equation is wrong. It should be
(20)(0.85)(1.06) = 18.02

20 x 0.85 = 17, the price after the 15% discount. Cat’s equation added 15%.

You could also do 20 x 0.15 = 3, the amount of the discount, and subtract from $20.

17 x 0.06 = 1.02, the amount of tax
Total cost = 17 + 1.02 = 18.02
This tax part is represented by the 1.06 in the equation. The sale price + 0.06 of that price in tax.

Let me know in the comments if you have questions.


Why is it a problem to find the square root of a negative number, for example √-4?

Answers

Answer:

It is not possible because no number times itself can equal a negative number.

Answer:

Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).

This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."

For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.

Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week. The equation and solution model the situation.

5 (4.50 + x) = 28.75; x = 1.25

What does the solution, x = 1.25, represent?
the total cost of snacks for the week
the cost of each snack
the total amount of lunch for the week
the amount she spends each day for lunch and snack

Answers

Answer:

The cost of each snack

Step-by-step explanation:

Because if we are using what makes sense and what doesnt it would not be that much for lunch each week and it wouldnt be for the day so it must be the cost of each snack

Answer:

Step-by-step explanation:

B, the cost of each snack

daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours

Answers

You would just move the 0 over from 7.5 then add that to 50 so 75+50 so 125
Daniel will make 75 dollars in 10 hours

Anyone’s know the answer??

Answers

Answer:

y = 3/2x + 5/2

Step-by-step explanation:

Find the quotient. 42j4k2 ÷ (-3j3k)

Answers

Answer:

(-14) (4/3k) = -56k/3

Step-by-step explanation:

42/-3 = -14

j/j = 1, so j "cancels"

4k²/3k = 4/3k

Answer:

-14jk

Step-by-step explanation:

Find the value of r(q(-5)).

Answers

Answer:

=−5qr

Step-by-step explanation:

i can't figure it out someone help pls

Answers

Hello this is very eaaaaasy

Answer:

I think it's 50 i don't know though

3
The diagram represents a portion of a small city. Maple Street and Pine
Street run exactly east to west. Oak Avenue runs exactly north to south.
All of the streets remain straight.

Answers

Yes. This is correct. Because the lines all cross eachother therefore maple street and pine are good.

All the statements that must be true are in options [tex]A, B, D, E[/tex].

What are parallel lines?

Parallel lines are those line which never intersect and maintains a constant distance.

We have,

From the given diagram,

Maple Street and Pine Street run exactly East to West.

And,

Oak Avenue runs exactly North to South.

Now,

From the given diagram,

A. Birch street and Elm street intersect at right angles. - True

B. Maple Street and Pine Street are parallel. - True

D. Pine Street intersect  both Birch street and Elm street.  - True

E. Oak Avenue and Maple Street are perpendicular. - True

Hence we can say that all the statements that must be true are in options [tex]A, B, D, E[/tex].

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Use the substitution method to solve the following pairs of simultaneous
equations.
a. x = 8-3y, 2x + 5y = 13,
Answer: x= , y=

Answers

Answer:

Step-by-step explanation:

2x+5y = 13

2(8-3y)+5y =13

16-6y+5y = 13

y=3

x =8-3y = -1

x/4 = 1/3 what is x?

Answers

Step-by-step explanation:

Given

[tex] \frac{x}{4} = \frac{1}{3} \\ cross \: multiply \\ 3x = 4 \\ x = \frac{4}{3} [/tex]

Hope it will help :)

Answer:

1/3×4 = 1, 3

x is 1,3

Step-by-step explanation:

hope this helps!

Find the measure of x in the right triangle.
X
21
2

Answers

Answer:

I'm not sure if this is the right answer b/c ur question is too vague but the answer is x = 67

Step-by-step explanation:

x + 21 + 2 = 90

x + 23 = 90

  - 23   - 23

x = 67

evaluate the function when x = -3

Answers

Answer:

10

Step-by-step explanation:

f(-3)=-2(-3)+4=6+4=10

ik this isnt part of math but I really need help with this question please answer as soon as possible im being timed on this test!

Each figure below shows a force measured in Newtons pushing on a block. If there are no other forces pushing on the block,in which case is the acceleration of the block greatest?​

Answers

Answer:I believe it is D I’m taking the same test to

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its d im also taking same test

anyone tell me the answer

Answers

Answer:

a. Pop

b. 30 CDs

c. 230 CDs

Step-by-step explanation:

Given that "O" represents 20 CDs

a. The CD that was the mode is the CD that has as much "O", which is Pop.

Mode = Pop

b. Number of Rock CDs = 3 × 20 = 60 CDs

Number of Classical CDs = 1½ × 20 = 30 CDs

Therefore, 30 more CDs of Rock were sold than Classical CDs were sold

c. Pop = 5*20 = 100 CDs

Jazz = 2*20 = 40 CDs

Classical = 1½*20 = 30 CDs

Rock = 3*20 = 60 CDs

Total sold altogether = 100 + 40 + 30 + 60

= 230 CDs

PLS PLS HELP
a trapezoidal prism has a volume of 1260 cm^3. the height of the prism is 18 cm while the bases of the trapezoid are 12 cm and 8cm. Sketch the prism and find the height of the trapezoidal base

Answers

Answer:

7 cm

Step-by-step explanation:

Volume of the prism is the product of its base area and height

V = AHV = 1260 cm³H = 18 cm

Find base area:

A = 1260/18 = 70 cm²

Area of the trapezoid:

A = 1/2(b₁ + b₂)h

Substitute given values and solve for h:

70 = 1/2(12 + 8)h70 = 10hh = 70/10h = 7 cm

Find area of base

Volume/Height1260/1870cm²

Now

Height of trapezoid base be x

1/2(12+8)x=7020x=140x=7cm

Which statement is true about the slope of the graphed line?

Answers

B. the slope is positive because its in a straight line

-2.73 as a mixed number

Answers

Answer: -2 73/100

Explanation: keep the -2 and just look at the .73. The .73 is in the hundredths place so you put it over 100.

7.23 I think I do not know

A rectangular pool at Andy's gym measures 25 meters by 50 meters. How many meters would Andy swim in order to swim diagonally across the pool?

Answers

Answer:

625 meters

Step-by-step explanation:

25 multiplied by 50 equals 1250 divided by 2 is 625 meters.

The store Matilda works at bought a pair of leggings for $12. They plan on selling them for $20. What percent are the leggings marked up?

Answers

Answer:

67%

Step-by-step explanation:

difference between the numbers = $8

8 ÷ 12 X 100 = 67%

can you solve this. ​

Answers

Answer:

a = 45°

Step-by-step explanation:

2a + a + a = 180°

4a = 180°

4a ÷ 4 = 180° ÷ 4

a = 45°

what is the inequality -24<3(3x-2)<30

Answers

Answer:

− 2  <  x  <  4

Step-by-step explanation:

Please help! Giving 20 points!! I only need number 11

Answers



Triangle 1:
a=1/2(175)(280)
a=24,500km^2

Triangle 2:
a=1/2(790)(480)
a=189,600km^2

189,600km^2 + 24,500km^2 = 214,100km^2

Hope this helps!

Please only show me the check how you get the check from 1 to 5

Answers

The answers and solution from 1-5 is below. Hope this helps.
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