Answer: the athlete's salary for year 7 of the contract is $3795957
Step-by-step explanation:
The player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4%. This means that the amount he gets each year is 1.04 times of the previous year's amount. The rate at which his salary increases is in geometric progression. The nth term of a geometric progression is expressed as
Tn = ar^n-1
Where
Tn is the salary for the nth year
a is the salary for the first year
r is the rate at which the salary is increasing. So
a = 3,000,000
n = 7
r = 1.04
We want to determine T7. It becomes
T7 = 3000000 × 1.04^(7-1)
T7 = 3000000 × 1.04^6
Tn = $3795957
Answer:
<b = 108 degrees
<c = 36 degrees
<d = 36 degrees
Step-by-step explanation:
The sum of angle in a triangle is 180 degrees
Hence <b + <c + <d = 180
13x-35 + 5x - 19 + 2x + 14 = 180
13x+5x+2x-35-19+14 = 180
20x-40 = 180
20x = 180 + 40
20 x = 220
x = 220/20
x = 11
Get <b
<b = 13x-35
<b = 13(11) - 35
<b = 143-35
<b = 108 degrees
Get <c
c =5x-19
<c = 5(11)-19
<c = 55-19
<c = 36degrees
Get <d
<d = 2x+14
<d = 2(11) + 14
<d = 22+14
<d = 36 degrees
The <em>cost of the jacket</em> purchased using the <em>System of equation</em> is $46.16
<u>Given the cost prices</u> :
- Total cost = $95.11
- Cost of shoes = x
- Cost of jacket = x - 2.79
<u>We could set up an equation relating the cost of each item to the total Cost : </u>
<em>Total cost = cost of jacket + cost of shoes</em>
95.11 = x - 2.79 + x
95.11 = 2x - 2.79
95.11 + 2.79 = 2x
97.90 = 2x
x = 97.90 / 2
x = 48.95
Cost of jacket = $48.95 - 2.79 = $46.16
Therefore, Cost of jacket is $46.16
Learn more : brainly.com/question/24938959
Answer:
25% of the length is 7.5 (seven and five tenths) feet
Step-by-step explanation:
25% of 30