R = 8%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/2)((2320/2000) - 1) = 0.08
r = 0.08
Converting r decimal to R a percentage
R = 0.08 * 100 = 8%/year
The interest rate required to get a total amount, principal plus interest, of $2,320.00 from simple interest on a principal of $2,000.00 over 2 years is 8% per year.
The number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
<h3>How to determine the
number of solutions?</h3>
In order to determine the number of solutions, we would split the single equation to two different equations and then plot a graph, so as to reveal their solutions.
This ultimately implies that, the number of solutions is equal to the point of intersection between the lines of the equations plotted on a graph.
In conclusion, the number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
Read more on number of solutions here: brainly.com/question/12558210
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Answer:
the 2nd and 4th i think
Step-by-step explanation:
If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.
If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.
<span>The difference between the two possible lengths of the third side =
9.4 - 6.2 = 3.2 in.</span>
The shape goes through three transformations, and turns 180 degrees in total (flips). Therefore, each transformation is 180/3=60 degrees. The vertical of the L turns left in the first transformation, so that means that the L turns counterclockwise. The answer is 60 degrees counterclockwise.