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ladessa [460]
3 years ago
15

Aubree invested $27,000 in an account paying an interest rate of 0.0825% compounded monthly. Addison invested $27,000 in an acco

unt paying an interest rate of 0.08625 % compounded continuously. After 20 years, how much more money would Addison have in her account than Aubree, to the nearest dollar?
Mathematics
1 answer:
deff fn [24]3 years ago
7 0

Answer:

A = $27,445.50

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 0.0825%/100 = 0.000825 per year.

Solving our equation:

A = 27000(1 + (0.000825 × 20)) = 27445.5

A = $27,445.50

The total amount accrued, principal plus interest, from simple interest on a principal of $27,000.00 at a rate of 0.0825% per year for 20 years is $27,445.50.

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Jessii Vee is 1 5/8 gallons of paint to paint her room so he has 5/6 gallons of paint. How many more gallons of paint does she n
irakobra [83]

Answer:

3 1/2 gallons of paint

Step-by-step explanation:

1 5/8 - 5/6 = x

Turn the mixed number into an improper fraction:

1 5/8 = 13/8 = x

13/8 - 5/6 = x

make the denominator the same:

13/8 * 3 = 104/24

5/6 * 4 = 20/24

Subtract:

104/24 - 20/24 = 84/24

Simplify:

84/24 divided by 6 = 14/4

14/4 divided by 2 = 7/2

Turn into a mixed number:

3 1/2


Hope this helps!!!                                                   ~Carley

3 0
3 years ago
An arithmetic sequence begins as follows: a1=13 a2=19 Which of the following gives the definition of its nth term?
Otrada [13]

Answer:

the nth term of the sequence is a_n=6n+7

Step-by-step explanation:

Given : An arithmetic sequence begins as follows: a_1=13, a_2=19

To find : Which of the following gives the definition of its nth term?

Solution :

The nth term of the A.P is a_n=a+(n-1)d

The first term is a=a_1=13

The common difference is d=a_2-a_1

d=19-13=6

Substitute in the formula,

a_n=13+(n-1)6

a_n=13+6n-6

a_n=6n+7

Therefore, the nth term of the sequence is a_n=6n+7

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