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ankoles [38]
3 years ago
13

a company is offering a job with a salary of $30,000 for the first year and a 5% raise each year after that. if the 5% raise con

tinues every year, find the amount of money you would earn in a 40-year career

Mathematics
1 answer:
Ber [7]3 years ago
8 0
<span>First year is 30,000.
</span><span>Earn 5% raise every year.
</span>Growth factor is 1.05 this sounds a lot like a geometric ratio.

An = A1 × r^(n-1)Sn = A1 × (1 - r^n) / (1-r)<span>n = 40
A1 = 30,000
A40 = $30,000 * 1.05^39 = $201,142.53

S40 = A1 * (1 - 1.05^40) / (1-1.05) which becomes:
S40 = 30,000 * -6.039988712 / -.05 which becomes: 
</span>S40 = -181,199.6614 / -.05 which becomes:
S40 = $3,623,993.227

<span>The individual yearly calculations are shown below: </span>

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What is the 4th term of the geometric sequence with a=5 and ratio=3
denis23 [38]
The 4th term is 135 
                                                            n-1
 you get it by using the formula Tn= ar                                                <span />
8 0
3 years ago
700 is 35% of what number??
harina [27]

Answer:

245

Step-by-step explanation:

35                    x

-------             --------

100               700

then you cross multipy and you get

24500

------------------

100

cross out the zeros

and get 245

8 0
3 years ago
The joint probability mass function of XX and YY is given by p(1,1)=0p(2,1)=0.1p(3,1)=0.05p(1,2)=0.05p(2,2)=0.3p(3,2)=0.1p(1,3)=
inessss [21]

Answer:

P(Y=1|X=3)=0.125

Step-by-step explanation:

Given :

p(1,1)=0  

p(2,1)=0.1

p(3,1)=0.05

p(1,2)=0.05

p(2,2)=0.3

p(3,2)=0.1

p(1,3)=0.05

p(2,3)=0.1

p(3,3)=0.25

Now we are supposed to find the conditional mass function of Y given X=3 :  P(Y=1|X=3)

P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)

P(X=3)=p(3,1) +p(3,2) +p(3,3)

P(X=3)=0.05+0.1+0.25=0.4

P(Y=1|X=3)=\frac{P(X=3,Y=1)}{P(X=3)} =\frac{p(3,1)}{P(X=3)}=\frac{0.05}{0.4}= 0.125

Hence P(Y=1|X=3)=0.125

8 0
3 years ago
A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200
kotykmax [81]

Answer:

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

        (x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

   (x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } ) = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

                         ( 10 ±4 )

                  ( 10 -4 , 10+4)

                  ( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

8 0
2 years ago
Work out the area of a triangle of base 8.2m and height 5m
11Alexandr11 [23.1K]
Area of a triangle is calculated by using the formula A=1/2bh
A= 1/2 (8.2) (5)
A=1/2 (41)
A=20.5 or 20 1/2, whichever way you think your teacher wants it.
5 0
3 years ago
Read 2 more answers
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