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3 years ago

SOMEONE HELP ME WITH 12 PLEASE 10 POINTS FOR THIS. I NEED THIS ASAP AND I WILL MARK YOU BRAINIEST.

Mathematics

1 answer:

Inessa [10]3 years ago

5 0

Answer:

r ≈ 7.18%

Step-by-step explanation:

a = p(1 + r)^n

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

a = 10000 * 2 = 20000

p = 10000

n = 2035 - 2025 = 10

Plug in the knowns

20000 = 10000(1 + r)^(10)

Divide both sides by 10000

2 = (1 + r)^(10)

Take the log of both sides

log2 = 10 * log(1 + r)

Divide bot sides by 10

(log2)/10 = log(1 + r)

use calculator

0.030102999566398 = log(1 + r)

antilog both sides

10^0.030102999566398 = 1 + r

1.0717734625 = 1 + r

Subtract 1 from both sides

0.0717734625 = r

r ≈ 7.18%

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

Alternate method

2 = (1 + r)^(10)

Take 10th root of both sides

1.0717734625 = 1 + r

Subtract 1 from both sides

0.0717734625 = r

r = 7.18%

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