9514 1404 393
Answer:
$129,992
Step-by-step explanation:
The sum of a geometric series is given by ...
Sn = a1·(r^n -1)/(r -1)
Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...
S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992
The total earned over 5 years was $129,992.
___
A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.
Let's assume they meant C=40 degrees. With an angle like that they're asking for approximation; we'll oblige.
The circumradius is the product of the triangle sides divided by four times the area.
Here we have remaining side given by the Law of Cosines.
The area is
The circumradius is
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
In this case a=5, and d=-2 so
a(n)=5-2(n-1) which can be simplified...
a(n)=5-2n+2
a(n)=7-2n
The domain is restricted to integers from 1 to +oo.
Answer:
1) 5/4 or 1 1/4
2) 9/16
Step-by-step explanation:
3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4
1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16
Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Answer choices</u>
A. The equation represents a proportional relationship.
- TRUE, it is in the form of y = kx
B. The unit rate of change of y with respect to x is 8.5
- TRUE, y = mx + b, the slope m = 8.5 is the rate of change
C. The slope of the line is 2/17
D. A change of 17 units in x results in a change of 2 units in y.
- False, a change of x = 17 results in 17*8.5 = 144.5 units in y
E. A change of 4 units in x results in a change of 34 units in y.
