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Vsevolod [243]
3 years ago
9

Hunter invested $750 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded continuously. London invested $7

50 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 ​ % compounded daily. After 18 years, how much more money would Hunter have in his account than London, to the nearest dollar?
Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Answer: $ 55

Step-by-step explanation:

When interest is compounded continuously, the final amount will be

A=Pe^{rt}

When interest is compounded daily, the final amount will be

A=P(1+\dfrac{r}{365})^{365t}

, where P= Principal , r = rate of interest , t = time

For Hunter , P= $750, r = 6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625

t = 18 years

A=750e^{0.06625(18)}=\$2471.48

For London , P= $750, r = 6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065

t = 18 years

A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55

Hence, Hunter would have $ 55 more than London in his account .

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3 years ago
Liam and Kaiden are brothers who go to different schools. The school day is just as long at Liam's school as at Kaiden's school.
Triss [41]

Answer:

He's not right

Step-by-step explanation:

L = 4/6 = 2/3

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4 0
2 years ago
Write an equation parallel to the function y=2x+3 and goes through the point (1, -4)
sergey [27]

Answer:

y=2x-6

Step-by-step explanation:

Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)

So this means that the function will have a slope of 2

To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)

(-4)= 2(1)+c

-4-2=c

-6=c

This means that the parallel function that goes through the point (1,-4) is

y=2x-6

6 0
3 years ago
there are 12 ducks and 15 gesse swimming in a pond. what is the ratio of gesse to total brids at the pond?
lana66690 [7]
 Best Answer:  15 (number of geese) : 27 (total # of birds)<span>
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3 0
2 years ago
Read 2 more answers
8th out of 10 questions 2
nydimaria [60]

Hi!

Let's divide to solve this.

17.5 ÷ 8.75 = 2

The answer is 2 rooms.

Hope this helps! :)

-Peredhel

7 0
2 years ago
Read 2 more answers
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