No it is not base e. It is 1.015.
An increase of 1.5 % = 1.015
Year 1, 2, 3,.........................., 30.
30000, 3000(1.015), 30000(1.015)²,........... 30000(1.015)²⁹
Her Total Income is sum over the thirty 30 year period:
Sn = a(r^n - 1) / (r - 1); a = 30000, r = 1.015, n = 30
Sn = 30000 ( 1.015^30 - 1) / (1.015 - 1)
= 30000 (1.56308022 - 1) / (0.015) = 1126160.44
Total = $ 1 126 160.44
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (1, -5)
Point (7, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
- Add/Subtract:
- Simplify:
There we have an information of two functions 
Using this two functions , we need to find the composition of functions (h\circ g)(t).
The composition of two functions h and g is the new function , by performing g first and then performing h.
Composition of h and g (t) = 
First plugin the value of 
We know that , we need to find h(3t+3),
That is, to replace t by 3t+3,
Now distribute 2 into 3t+3,
Now plug in 
Thus the solution is (D). 
Answer:
None
Step-by-step explanation:
Because the 3 angles do not add up to 180 degrees.
Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
