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Alekssandra [29.7K]
2 years ago
8

Suppose Brianna invests $1,300 each year for 5 years, in an annuity that pays 6% annual interest, compounded annually. What perc

entage of the balance, after 5 years, is from Brianna’s contributions? Enter your answer as a percentage, rounded to two decimal places, but omit the percent sign.
Mathematics
1 answer:
love history [14]2 years ago
7 0

Answer:

74.73%

Step-by-step explanation:

First, we're gonna find out her total amount

We're gonna use the count interest formula: P = A(1 + r)ⁿ

P = final amount

A = starting amount (1300)

r = rate (0.06)

n = years (5)

P = 1300(1 + 0.06)⁵

P = 1739.693251

Now divide the starting amount by the total amount

1300 ÷ 1739.693251 = 0.7472582

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Gerri spends 1/21 of her money on pencils and 2/21 on paper. What fraction of her money does she spend. Give the answer in simpl
BigorU [14]

Answer:

Gerri spends 1/7 (A).

Step-by-step explanation:

If Gerri spends 1/21 of her money on pencils and 2/21 of her money on paper, adding these two fractions together will give us the total fraction of her money that she spent.  Since 1/21 and 2/21 have the same denominator, we can add the numerators to get 3/21.  However, fractions must always be in simplest form, meaning if the numerator (top number) and denominator (bottom number) can both be divided evenly by the same factor, then the fraction can be simplied to lower numbers.  In this case the number 3 and the number 21 can both be divided evenly by 3:  (3÷3)/21÷3) = 1/7.

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3 years ago
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leonid [27]
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5 0
3 years ago
Gradient of line AB (3,7) and (5,11)​
larisa [96]

Answer:

Gradient is change in y over change in x.

gradient = y1-y2 ÷ x1-x2

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3 years ago
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Sindrei [870]

Answer:

3 3/5 + 1 1/4 = <u>4 17/20</u>

7/8 + 1/12 =<u> 23/24</u>

8/9 - 2/5 = <u>22/45</u>

5 1/4 - 2 2/3 = <u>2 7/12</u>

Step-by-step explanation:

3 3/5 + 1 1/4

First convert into improper fractions

= 18/5 + 5/4

Now find the common denominator

72/20 + 25/20 =

97/20

Now simplify

4 17/20

<u>Next problem:</u>

7/8 + 1/12

find the common denominator

21/24 + 2/24 =

23/24

<u>Next problem:</u>

8/9 - 2/5

find the common denominator

40/45 - 18/45 =

22/45

<u>Next problem:</u>

5 1/4 - 2 2/3

First convert into improper fractions

21/4 - 8/3

find the common denominator

63/12 - 32/12 =

31/12

Now simplify

2 7/12

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3 years ago
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Leya [2.2K]

Answer: B, D, and E

Step-by-step explanation: 20% of 45 equals 9 D, D, and E all equal 9

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