Answer:
A. $4,960
B. 8%
C. $120
Step-by-step explanation:
<u>Part A</u>
The amount in the account at the end of 3 years is the original amount ($4000) plus the earned interest ($960). That sum will be ...
$4,000 + 960 = $4,960 . . . account balance
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<u>Part B</u>
The amount of interest is computed using the formula ...
I = Prt
where I is the interest earned, P is the principal invested, r is the annual rate, and t is the number of years. Putting the given values into this equation, we can solve for r:
960 = 4000·r·3
960/12000 = r = 0.08 = 8%
The interest rate was 8%.
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<u>Part C</u>
The additional interest can be computed using the same formula as for part B.
I = Prt
I = 4000·0.01·3 = 120
The additional interest earned at a 1% higher rate would be $120.
Answer:
The equation is true.
Step-by-step explanation:
In order to solve this problem, one must envision a right triangle. A diagram used to represent the imagined right triangle is included at the bottom of this explanation. Please note that each side is named with respect to the angle is it across from.
Right angle trigonometry is composed of a sequence of ratios that relate the sides and angles of a right triangle. These ratios are as follows,

One is given the following equation,

As per the attached reference image, one can state the following, using the right angle trigonometric ratios,

Substitute these values into the given equation. Then simplify the equation to prove the idenity,



Remember, any number over itself equals one, this holds true even for fractions with fractions in the numerator (value on top of the fraction bar) and denominator (value under the fraction bar).





The inequality graph shown is a graph of x < -6
The correct option is option B because it is the only one whose solution give x<-6
x + 9 < 3
x < 3 - 9
x < -6
Therefore the answer is B