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Modified water usage = $ 50 \times (1 - 0.40) = 50 \times 0.60 = 30 $ liters.
A research team receives a $500,000 grant. They spend 25% on equipment, 50% on personnel, and the rest on materials. How much is spent on materials?
Equipment: $ 0.25 \times 500,000 = 125,000 $, Personnel: $ 0.50 \times 500,000 = 250,000 $.
Remaining for materials: $ 500,000 - 125,000 - 250,000 = 125,000 $.
#### $125,000
A plant biologist finds that a gene modification increases yield by a factor of $ x^2 $, where $ x = 2 $. If the base yield is 100 bushels, what is the new yield?
New yield = $ 100 \times (2^2) = 100 \times 4 = 400 $ bushels.
#### 400The temperature at noon was 18°C. It dropped by 3°C every 2 hours until midnight. What was the temperature at midnight?
It dropped from noon to midnight, which is 12 hours, or 6 intervals of 2 hours. The total drop was 6 × 3 = 18°C. The temperature at midnight was 18°C − 18°C = 0°C.
#### 0