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:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
1.five hundred and three thousand six hundred seventy-two
2. 500000+3+600+70+2
Hope it helped ;)
1/4 # hamburger = 16 oz to a pound so 1/4 is 4 oz.
1 doz baseballs (12), 5 oz each
Box = 9 oz.
Total weight = 12x5 = 60 oz. + 9 oz. = 69 oz.
69/16 = 4 lb. 5 oz.
The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.
<h3>Trigonometry</h3>
First, when we have two angles, whose sum equals, 90°.
In essence, Since the algebraic sum of angles A and B is 90°;
By trigonometric identity;
Where; (90 - A) = B.
Therefore; Sin A = Cos B = 0.68.
Read more on trigonometry;
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