Can anyone solve 3?
1 answer:
9514 1404 393
Answer:
a) $7715.10
b) $6022.02
c) 15263.10
Step-by-step explanation:
A calculator or spreadsheet can evaluate the formulas for you using the given parameters.
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.
The continuously compounded interest formula is ...
A = Pe^(rt) . . . . where P, r, t are defined as above
Often the function e^x is defined as the exp(x) function.
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A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.
For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.
The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).
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Answer:
21/4 = 5.25
Step-by-step explanation:
You want the sum of the x-values that are solutions to ...
21x -4x² = 5
4x² -21x +5 = 0 . . . . . subtract the left side, rearrange to standard form
x² -(21/4)x +5/4 = 0 . . . divide by 4
In this form the sum of the x-values that solve this equation is the opposite of the x-coefficient. That sum will be 21/4 = 5.25. (The attached graph confirms this result.)
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Consider a quadratic with roots p and q. It factors as ...
(x -p)(x -q) = 0 = x² -(p+q)x +pq
That is, the x-coefficient is the opposite of the sum of the roots p and q.
If 3/5 of sweets are red, the remaining sweets represent the
of the total. So, 3/5 are red and 2/5 are blue.
The blue to red ratio is