Y=12/5 + 2x/5
Explanation:
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1) 
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>
Answer:18 19 20
Step-by-step explanation:"Consecutive" means that the integers will follow each other in value, for example: 1, 2, 3 or 4, 5, 6. Also, no decimals are needed here because "integers" are whole, counting numbers. Here is the set up: Let x= the first integer Then X+1= 2nd consecutive integer and x+2= 3rd .
Suppose that x=1 x+1= 1+1=2 and x+2=1+2=3 However, you need specific consecutive numbers whose sum is 57. Remember that sum means to add:
x+ (x+1) + (x+2) = 57 Addition of all 3 consecutive numbers Now solve for x
and substitute into each part to come up with the three integers:
3x + 3= 57 3x=54 x=54/3 = 18 x=18, x+1= 18+1=19 x+2=18+2=20
Check your answer: 18+19+20=57 57=57 Check
Answer:
saw dude
Step-by-step explanation:
Answer:
Step-by-step explanation:
This question is permutation problem. permutations is the number of arrangements or orderings within a constant group.
The formula for permutation is given as
nPk = n!÷(n-k)!
Where n is the number of objects, k is the is the number of objects we want to chose from.
Solution to the question
15P8 = 15!÷(15-8)!
= 15!÷7!
= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1÷7×6×5×4×3×2×1
= 259459200
