Answer:
(−5t−1)(3t−4)
Step-by-step explanation:
Factor −15t2+17t+4
−15t2+17t+4
=(−5t−1)(3t−4)
Answer:
Number of year in which population will be 180,000 = 6 year (Approx.)
Step-by-step explanation:
Given:
Population in 2007 = 168,979
Rate of increase in population = 1% = 0.01
Future population = 180,000
Find:
Number of year in which population will be 180,000
Computation:
A = P[1+r]ⁿ
Future population = Population in 2007[1+Rate of increase in population]ⁿ
180,000 = 168,979[1+0.01]ⁿ
180,000 = 168,979[1.01]ⁿ
1.06522 = [1.01]ⁿ
n = 6 (Approx.)
Number of year in which population will be 180,000 = 6 year (Approx.)
Answer:
In February, 423 daytime minutes is used
Step-by-step explanation:
Let the base plan charges be x
And cost per daytime minute be y
In December,
x + 510y = 92.25------------------(1)
In January,
x + 397y = 77.56---------------------(2)
Subtracting eq(2) from eq(1)
x + 510y = 92.25
x + 397y = 77.56
-------------------------------
0 + 113y = 14.69
-------------------------------
y = \frac{14.69}{113}
y = 0.13----------------------------------(3)
Substituting (3) in (1)
x + 510(0.13) = 92.25
x + 66.3 = 92.25
x = 92.25 - 66.3
x = 25.95
So In February
base plan + (daytime minute)(cost per daytime minute) = 80.9
25.95 + (daytime minute)(0.13) = 80.9
(daytime minute)(0.13) = 80.9 - 25.95
(daytime minute)(0.13) = 54.95
(daytime minute) =
daytime minutes = 422.69
daytime minute 
MLN is an isosceles triangle
ML = MN
3x = x + 8
Subtract x from both sides
2x = 8
Divide both sides by 2
x = 4
MN = 4 + 8 = 12
Answer
A. 12
To find the perimeter, just add all those numbers.
4.8+2.3+2.1+3.9=13.1
Hope this helps!