Answer:
a
Step-by-step explanation:
when you times 5 by 2 you get 10 and 10 minus 6=4
30 girls , 12 were selected
40 boys, 16 were selected
We can simplify these down by finding the Greatest Common Factor in both girls and boys:
30:12 .... 15:6 .... 1 : 2.5 30/12 .... 15/6 .... 2.5
40:16 .... 20:8 .... 1 : 2.5 OR 40/16 .... 20/8 .... 2.5
They are equal ratios because their most simplified ratios/fractions are equivalent
The starting salary is $35,000.
Salary is increased by 6% at the end of every year.
Nos of years worked = 16 years
Total salary earned in 16 years is given by An * (( 1+i )^n - 1 ) / i
Where, An = Present Salary = $35000
i = Increase in salary per year = 6% = 0.06
n = number of years = 16
= 35000 * ( 1.06 ^16 - 1 ) / .06
= 35000 * ( 2.54035 - 1 ) / .06
= 35000 * 1.54035 / .06
= 898538
Total earnings in 16 years is $ 898538
Answer:
Step-by-step explanation:
<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>
- x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
- 2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
- x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2
<u>Common solution of the three inequalities above is:</u>
Correct choice is C
