The rate at which a rumor spreads through an Alpine village of 500 residents is jointly proportional to the number of residents who have heard it and the number who have not. Initially, 15 residents heard the rumor, but 4 days later this number increased to 80. Find the number of people who will have heard the rumor after 1 wk.
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Round the answer to the nearest integer.
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__________ people

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Graph the polar equation.r = 3

A.

B.

C.

D.

Mathematics

Solve.Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.40. The total cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $10.60 each, how many must be reground and sold to break even?

A. C(x) = 1.40x + 230; 20 platens B. C(x) = 1.40x + 300; 33 platens C. C(x) = 1.40x + 300; 25 platens D. C(x) = 1.40x + 230; 25 platens

Mathematics

Solve the problem.The voltage across a resistor is jointly proportional to the resistance of the resistor and the current flowing through the resistor. If the voltage across a resistor is  for a resistor whose resistance is  and when the current flowing through the resistor is  find the voltage across a resistor whose resistance is  and when

the current flowing through the resistor is 

A. 16 volts
B. 12 volts
C. 48 volts
D. 6 volts

Mathematics

Simplify.

A.
B.
C.
D.

Mathematics