Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
Alright, so first we should add up all of the teachers to get the gist of how many there are in each school.
I got 50 in both North MS and West MS.
F. Half of the teachers would be 25. music+cooking=25 teachers. Correct.
But now, we need to find percentages.
Convert the problem to an equation using the percentage formula: P% * X = Y.
30%x50= 15. Does 9+6 equal 15? Yes, F is Correct.
G. A quarter of 50 is 12.5. (There can't be decimals of teachers though.) At West MS 11 teachers enjoy reading and 14 enjoy outdoor recreation. 11 is less than 12.5 and 14 is more. Incorrect.
H. A majority means more than half in simple terms. Do more than half of the teachers at North MS enjoy rec and cooking? (6+19) It's tricky as there's 25 teachers. However, it is not greater than 25 so it is not a majority. Incorrect.
J. Less than half of 50 teachers at West MS enjoy rec and music. (14+15=29)
Incorrect.
Hope this helped! Khan Academy is a fantastic resource.
<u>Answer:</u>
The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.
<u>Solution:</u>
Need to find the variable in the given equation 803 divided by 73 = m
That means need to solve below expression to determine value of variable m.
So let’s solve left hand side to get the value of m.
For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.
Hence value of variable m is equal to 11.
A million times greater I guess
Answer:
answer is 80.
Step-by-step explanation:
a line has to equal 180 degrees, so 180-100 is 80