To find the Least Common Multiple you first have to write down multiples of each number until one same multiple occurs in both lists. Once you find that multiple you can circle it to use it in your answer.
To find the greatest common factor you just have you list all the factors of that number and the other's too. Then you circle the largest factor that occurs in both lists.
Answer:
54 teachers
Step-by-step explanation:
Step one:
given data
The ratio of teachers to students on a field trip to New York City is 2 to 9.
That is the ratio is 2:9
We are told that there are 243 students
Required
We want to find the number of teachers
Step two:
Applying the part to part method we have
let the number of teachers be x
2/9= x/243
cross multiply we have
9x= 243*2
9x= 486
divide both sides by 9
x= 54
Hence there are 54 teachers
Answer:
a. Weekly Gross pay:
= 9.50 * 20
= $190
b. Federal tax withheld:
= 10% * 190
= $19
c. FICA Tax withheld:
= 5.65% * 190
= $10.74
d. State tax withheld:
= 5% * 190
= $9.50
e. Weekly net pay
= Gross pay - taxes
= 190 - 19 - 10.74 - 9.50
= $150.76
f. Percentage withheld for taxes:
= (19 + 10.74 + 9.50) / 190 * 100%
= 20.7%
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
= 925( 1 - 15%)^7
= 925( 1 - 15/100)^7
= 925(1 - 0.15)^7
= 925(0.85)^7
= 925 *(0.85)^7
= 925 * 0.3206
= 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
Answer:
slope for perpendicular line is -3
Step-by-step explanation:
just flip the reciprocal for the slope and change the positive/negative sign
