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anyanavicka [17]
2 years ago
8

(Lesson 31) The population of Jacksonville, Florida, was 736,000 in 2000 and was increasing at a rate of 1.49% each year. At

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

Step-by-step explanation:

Population t years after 2000 = 736,000 × 1.0149^t

736,000 × 1.0149^t = 1,000,000

1.0149^t = 1,000,000/736,000 = 125/92

Take log base 1.0149 of both sides

t ≈ 20.7

Population exceeds a million in 2021

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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
2 years ago
Factor: k^2 + 7x + 10<br> A:(k+10)(k+4)<br> B:(k+2)(k+5)<br> C:(k+2)(k-5)<br> D:(k-2)(k-5)
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Answer:

the answer is B. (k+2)(k+5)

7 0
3 years ago
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Nadusha1986 [10]

Answer:

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Step-by-step explanation:

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Find an angle between 0 and 360 degrees that is coterminal with 1260 degrees
cluponka [151]
1260-360-360-360=180
Therefore,180
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I'm really bad at math
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What chapter is this?

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