9514 1404 393
Answer:
$129,992
Step-by-step explanation:
The sum of a geometric series is given by ...
Sn = a1·(r^n -1)/(r -1)
Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...
S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992
The total earned over 5 years was $129,992.
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A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
To answer this item, we have 4 as the speed of the kayaker in still water and the speed of current be y.
When the karayaker moves upstream or against the current, his speed would be 4 - y. Further, if he moves downstream or with the current, the total speed would be 4 + y. The time utilized for the travel is equal to the ratio of the distance and the speed.
Total time = 9/(4 - y) + 9/(4 + y) = 6
We multiply the equation by (4-y)(4+y)
9(4-y) + 9(4 + y) = 6(4-y)(4+y)
Simplifying,
72 = 96 - 6y²
Transposing all the constants to only one side of the equation and rearranging,
6y² = 96 - 72
y² = 4
y = 2
Hence, the speed of the river's current is 2 miles/hr. <em>The answer is letter B.) 2 miles/hour.</em>
Answer:
-18
Step-by-step explanation:
So you have to always add the ones with parentheses. I added (-6) + (-6) and I get the answer -12. Last but not least I add -12 + -6 to get -18
Answer:
(x + 1) (x^2 + 5)
Step-by-step explanation:
Simplify the following:
x^3 + x^2 + 5 x + 5
Factor terms by grouping. x^3 + x^2 + 5 x + 5 = (x^3 + x^2) + (5 x + 5) = x^2 (x + 1) + 5 (x + 1):
x^2 (x + 1) + 5 (x + 1)
Factor x + 1 from x^2 (x + 1) + 5 (x + 1):
Answer: (x + 1) (x^2 + 5)