$e\cdot e^x -e^{-2}=-2$
$\implies e^{x+1}=e^{-2}-2$
note that RHS is negative. (because e with negative exponent is less than 1)
and LHS is always positive.
so there cannot be any solution
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1) 
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>
Answer:
Nikolai Lobachevsky and Bernhard Riemann
Step-by-step explanation:
Nikolai Lobachevsky (A russian mathematician born in 1792) and Bernhard Riemann (A german mathematician born in 1826) are the mathematicians that helped to discover alternatives to euclidean geometry in the nineteenth century.
The length of the hypotenuse = √(-3^2 +1^2) = √10
The point -3,1 tell us the length of y is 1 and the length of x is 3.
This would make opposite = 1 and adjacent = -3
Sinθ = opposite/hypotenuse = 1/√10 = √10/10
Cosθ = adjacent/hypotenuse = -3/√10 = - 3√10/10
Tanθ = opposite/adjacent = 1/-3 = -1/3
I can answer the first four
1 is 40%
2 is 60
3 is $1.35
4 is 6%
