Answer:
(About) 20043.46 after 14 years
Step-by-step explanation:
~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~
1. First let us assign the values:
interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒ 14 years
2. Now let us convert interest ⇒ decimal form: 0.065
3. Add 1 to this value 0.065 ⇒ 1 + 0.065 = 1.065
4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......
5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300 ⇒
(About) 20043.46 after 14 years
Answer:
2.6 x 10^21
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
<em><u>The slope of HI is 1/2
</u></em>
<em><u>
The slope of EF is 1/2</u></em>
<em><u>Solution:</u></em>
Given that,
Triangle DEF is congruent to right triangle GHI
Which means,
These pairs of angles are congruent
{D, G}, {E, H}, and {F, I}
In triangle DEF, E is a right angle
This means that the line segments are perpendicular.
We know that,
Product of slope of a line and slope of line perpendicular to that line is equal to -1
Given that,
Slope of DE = -2
Since the sides EF and HI are congruent,
Slopes of parallel lines are equal
Thus, Slope of HI is 1/2
Answer:
• discriminant: 73
• # of real solutions: 2
Step-by-step explanation:
Comparing the equation ...
2x^2 -9x +1 = 0
to the generic form ...
ax^2 +bx +c = 0
we find the coefficient values to be ...
a = 2; b = -9; c = 1
That makes the value of the discriminant, (b^2 -4ac), be ...
(-9)^2 -4(2)(1) = 81 -8 = 73
Since the discriminant is positive, the number of real solutions is 2.