The first thing we must do for this case is to define a variable:
x: number of years
y: total salary
We have then:
For first company:
y = 1500x + 31000
For second company:
y = 2000x + 28500
Equaling both equations we have:
1500x + 31000 = 2000x + 28500
Clearing x:
2000x - 1500x = 31000 - 28500
500x = 2500
x = 2500/500
x = 5
Answer:
It will take for the salaries to be the same about:
x = 5 years
Answer:
4t + 29
Step-by-step explanation:
7(5 + t) - 3(t + 2)
35 + 7t - 3t - 6
4t + 35 - 6
4t + 29
To solve this, you divide the price by the amount of ounces, and find the one which results in the smallest number. That was B, $4.29 for 12 ounces.
Answer:
384π
Step-by-step explanation:
From the diagram,
Diameter ( d ) = 16
Height ( h ) = 16
To find : Surface area of Cylinder = ?
Radius ( r ) = ?
Formula : -
r = d / 2
r = 16 / 2
r = 8
Formula : -
Surface area of Cylinder = 2πr ( r + h )
Surface area of Cylinder = 2πr ( r + h )
= 2π x 8 ( 8 + 16 )
= 16π x 24
Surface area of Cylinder = 384π
Answer:
{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}
Step-by-step explanation:
The expansion of (p+q)^n for n = 5 is ...
(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5
When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.
For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.
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The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.
