9514 1404 393
Answer:
- 10,247.38 from continuous compounding
- 10,228.50 from semiannual compounding
- continuous compounding earns more
Step-by-step explanation:
The formula for the account balance from continuously compounded interest at annual rate r for t years is ...
A = Pe^(rt) . . . . P = principal invested
A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding
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The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...
A = P(1 +r/2)^(2t)
A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding
Continuous compounding earns more.
Answer:
y=2x
Step-by-step explanation:
Hope this Helped you out ♡
7. q+18 =22
q+18-18 =22-18 , q=4
at the problem q+18-18=22+18 mistake (should be subtracted from both sides)
8. r+10-10=22-10 r=12
r-15+15=5+15 r=20
r-18+18=14 +18 r=32
r+5-5=15-5 r=10
Answer:
J. The equation has one real solution and two complex solutions.
Step-by-step explanation:
Complex solutions come in pairs, so there can only be an even number of them. So we can rule out G, H, and K.
To find the other roots, we can factor using either long division or grouping. To use long division, see the attached picture. To use grouping:
3x³ − 4x² + x − 10 = 0
3x³ − 6x² + 2x² + x − 10 = 0
3x² (x − 2) + (2x + 5) (x − 2) = 0
(x − 2) (3x² + 2x + 5) = 0
The other factor is 3x² + 2x + 5. The discriminant of this is (2)² − 4(3)(5) = -56. Since the discriminant is negative, the roots are complex.
Answer:
Step-by-step explanation:
±3√2. Recall that 2 actually has two roots, one positive and the other negative.
