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Bad White [126]
2 years ago
9

In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population

fall below 1,200,000?
a. 2024
b. 2027
c. 2036
d. 2049
Mathematics
1 answer:
frez [133]2 years ago
7 0
The equation
                                            P(t) = 1405233 * (1 - 0.011)^(t)
models the population at t years after 2010. Then, when P(t) = 1,200,000, we have
                                 1200000 = 1405233 * (0.989)^t
                                  (0.989)^t = 1200000/1405233
                                                t = log(1200000/1405233)/log(0.989)
                                                t = 14.27 years
This means 14.27 years after 2010. Therefore, the answer to this question is 2024.
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Find the functions y-intercept algebraically
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At the time of her​ grandson's birth, a grandmother deposits $ 2000 in an account that pays 3.5 % compounded monthly. What will
11Alexandr11 [23.1K]
At the time of her grandson's birth, a grandmother deposits $12,000.00 in an account that pays 2% compound monthly. What will be that value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawls are made during the period.
---
A(t) = P(1+(r/n))^(nt)
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A(21) = 12000(1.5214)
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7 0
2 years ago
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Giuliana has 22 quarters and dollar coins worth a total of $10.75.
sertanlavr [38]
Use the letters q and d to represent # of quarters and # of dollars.

q + d = 22 coins.

$0.25q + $1.00d = $10.75        Mult. this by 100 to eliminate fractions:
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Subst. q = 22 - d into the 2nd equation:

25 (22  - d) + 100 d = 1075

550 - 25d + 100d = 1075
550 + 75d = 1075
           75 d = 525
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q + d = 22, so if d = 7, then q = 22-7, or q=15.

There are 15 quarters and 7 dimes.
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Answer:

3rd Option

Step-by-step explanation:

Which equation is the inverse of y = 7x2 – 10?

y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot

y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

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