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Savatey [412]
3 years ago
5

Justine earned $26,000 during the first year of her job at city hall. After each year she received a 3% raise. Find her total ea

rnings during the first five years on the job.
A. $138,037.53
B. $1,004,704.20
C.$4,020.51
D.$108,774.30
And could you show your work I need to see if i got my math right
Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0
First Year: $26000
Second Year: $26780 because 3% • $26000 = $780  
Third Year: $27583.40 because 3% • $26780 = $803.40
Fourth Year: $28410. 90 because 3% • $27583.40 = $827.50
Fifth Year : $29263.23 because 3% • $28410. 90 = $852.33

$26000 + $26780 + $27583.40 + $28410. 90 + $29263.23 = $138037. 52

Your answer is A. $138037. 52


hichkok12 [17]3 years ago
4 0
To find how much each percentage is you need to make each one a fraction so 3/100 x 26000/1 your answer is 780 for 3 percent so her first raise makes it 26780 and 26000 plus 26780 is 52780 then keep adding 780 to 26000. So your answer would be A i think

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7 0
3 years ago
A researcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. If she ob
777dan777 [17]

Answer:

(2, 12)

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have 3 groups and on each group from j=1,\dots,n_j we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1=3-1=2 where k =3 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=15-3=12.  

And the total degrees of freedom would be df=N-1=15 -1 =14  

And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator

(2, 12)

3 0
3 years ago
A box with an open top has vertical sides, a square bottom, and a volume of 108 cubic meters. if the box has the least possible
Colt1911 [192]
Let x be the height  of the  box and y be the length of one side of the base then:-

V = xy^2 = 108

x = 108/y^2

Surface area = y^2 + 4xy 
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy  = 2y - 432/y^2  = 0
2y^3 = 432
y^3 = 216
y = 6 

Check if this gives a minimum value:-
second derivative = 2 + 864/y^3  which is positive so  minimum.

V = xy^2 = 108
36y = 108
y = 3

Answer :-  dimensions of the box is 3*6*6 metres


 
7 0
3 years ago
Find the whole amount in each case 9% is 45 cm
____ [38]

Answer:

500

Step-by-step explanation:

8 0
3 years ago
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George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the expe
jenyasd209 [6]

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability of landing on the orange section = proportion of the orange section / total proportions of all the colours

= 1/3

6 0
3 years ago
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