Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount invested or collected as a loan.
R represents interest rate.
T represents the duration of time in years before the loan is bald back.
From the information given,
P = 1290
I = 5.75
Since there are 365 days in a year,
t = 65/365 = 0.1781 years
Therefore,
5.75 = (1290 × r × 0.1781)/100
5.75 = 229.749r/100 = 2.29749r
r = 5.75/2.29749
r = 2.5027
Rounding to the nearest percent,
r = 3%
Answer:
2.1 mph
Step-by-step explanation:
Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
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Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
Answer:
396
Step-by-step explanation:
circumference of a circle is 2 x pi x r = 2 x 63 x (22/7) = 396
