Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
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For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
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The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
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The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
Someone help me on my quesstion plsssss go to my acct
<h3>
Answer: c = 29</h3>
Work Shown:
Use the pythagorean theorem
a^2+b^2 = c^2
21^2 + 20^2 = c^2
441 + 400 = c^2
841 = c^2
c^2 = 841
c = sqrt(841)
c = 29
Answer:
The garden is 10 ft. wide.
Step-by-step explanation:
2 • (2w + w) = 60 here is an equation to show how I got the width (10 ft.)
2 x 3w = 60
6w = 60
Divide 6 from both sides, 6 & 6 cancel out and 60 divided by 6 is 10.
ABC is a 30 60 90 triangle
In such a triangle, the shortest side AB multiplied by the square root of 3 equals the length of the "medium" side CB.
6 * sq root (3) = 10.39
(Incidentally, the hypotenuse AC = short side*2 = 12)
