Answer:
Please refer to the attached image.
The future worth of a certain item or money deposited at a certain percentage is obtained by the equation,
F = P x (1 + i)^n
F is the future worth, P is present worth, i is the percentage, and n is the number of years.
n = 2013 - 1938
n = 75
Substituting the known values,
300,000 = 100 x (1 + i)^75
The value of i from the equation is 0.1126.
The answer to this item is 11.26%.
-x(3x-10)=8
-3x^2+10x=8 (DISTRIBUTE)
-3x^2+10x-8=0 (BALANCE TO ZERO)
(-3x+4)(x-2)=0 (FACTOR)
(-x+4/3)(x-2)=0 (SIMPLIFY)
{x=2 OR x= 4/3}
Answer:
-3x+3
Step-by-step explanation:
The equation to the line shown is formed as follows.
It passes through the points (-6,0) and (-8,6)
The gradient of the line=Δy/Δx
=(y₂-y₁)/(x₂-x₁)
=(6-0)/(-8--6)
=6/-2
=-3
The line parallel to the line shown has the same gradient i.e -3
Therefore the line in question is
-3x+3.
Answer: 3/4
Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.
So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.
Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.
So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.
Therefore, 3/8 divided by 1/2 is 3/4.
