Answer:
$24,498,509.74
Step-by-step explanation:
The formula for the value as a function of time is ...
V(t) = P·e^(rt)
Filling in the numbers and doing the arithmetic, we have ...
V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74
Compounded continuously for 35 years, the investment will be worth $24,498,509.74.
9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
Answer: its 12,000
Step-by-step explanation:
(8x^2-9y^2-4x)+(x^2-3y^2-7x)
First, get rid of the parentheses and combine like terms
(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)
9x^2-12y^2-11x is your answer
Extraneous root since dividing by zero is undefined