Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.
In 6 months, Simple interest of $6 will be earned for investing $100.
<u>Step-by-step explanation:</u>
Step 1:
Given details are Principal (P) = $100, SI rate (R) = 12%, Time (T) = 6 months = 0.5 years
Step 2:
Calculate Simple Interest by the formula SI = PRT/100
⇒ SI = 100 × 12 × 0.5/100
⇒ SI = $6
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1000/7 = <span>142.857142857
Because this is not an even number we take "142", then times it by 7 teachers.
142*7= 994
1000 - 994 = 6 Pencils left</span>