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2 years ago

How much paper will be needed to cover the triangular prism shown?

Mathematics

2 answers:

djverab [1.8K]2 years ago

7 0

Try c you should not need to much paper prob like 3 peace’s of paper

kodGreya [7K]2 years ago

3 0

ANSWER: 84

A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c/2

A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·6+5·6+4·6+1
2·﹣34+2·(3·5)2+2·(3·4)2﹣54+2·(5·4)2﹣44=84

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rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

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to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × $e^{rt}$ ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × $e^{rt}$

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in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal

rt = 0.08 × 40 = 3.2

amount = principal × $e^{rt}$

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in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × $e^{rt}$

1000000 = 2500 × $e^{40r}$

take ln both side

ln $e^{40r}$ = ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

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