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dimulka [17.4K]
3 years ago
5

In Covina, California, the population is 47,000. The population increases 18% every year. Determine how long it will take to rea

ch 192,000.
Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

Answer: 8.5 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)  =18/100 = 0.18

t= years

A = population after t years

Replacing with the values given:

192,000 = 47,000 (1+ 0.18)^t

Solving for t:

192,000/47,000 = 1.18^t

4.08 =1.18^t

ln 4.08 = ln 1.18^t

ln 4.08 =t (ln 1.18)

ln 4.08 / ln 1.18  =t

8.5 years = t

Feel free to ask for more if needed or if you did not understand something.

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The mean score on a set of 17 test is 72. Suppose two more students take the test and score 68 and 63. What is the new mean?
Masja [62]

Answer:

New mean=71.32

Step-by-step explanation:

The expression for the total initial score is;

T=M×S

where;

T=total initial score

M=mean score

S=number in the set

replacing;

T=unknown

M=72

S=17

replacing;

T=72×17=1,224

The total initial score=1,224

Determine the total score by;

total score=total initial score+total final score

where;

total initial score=1,224

total final score=(68+63)=131

replacing;

total score=1,224+131=1,355

Determine the new mean;

New mean=total score/new number

where;

total score=1,355

new number=(17+2)=19

replacing;

new mean=1,355/19=71.32

8 0
3 years ago
Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equa
sweet-ann [11.9K]

Answer:

<h2>90 min or 1hr 30 mins</h2>

Step-by-step explanation:

Even though the options to choose from are not given in this question we can try and lay our hand on the most likely equation for the number of minutes Jack reads his book.

firstly on a daily Jack reads a total of = 8+10 = 18 mins

He attends school from Mon- fri = 5 days

Now on a weekly basis jack reads = 5*18

in other words, the equation is simply the number of days times the time spent to read his book per day

hence this is  = 90 min or 1hr 30 mins

5 0
3 years ago
Pl help will give brainlyest to right answer and 20 points
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Answer: sum=1 subtrahend=2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
ABCD is a parallelogram. If mZCDA = 63, then mZABC = _?_ The diagram is not to scale.
nevsk [136]

Answer:

b. 63

Step-by-step explanation:

A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.

The above answer is correct because opposite angles of a parallelogram are equal:

m∠CDA = m∠ABC

where m∠CDA = 63

∴ m∠ABC = 63 (answer)

4 0
3 years ago
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