Answer:
415,000
Step-by-step explanation:
First, find the decimal equivalent of 125%. To do this, divide 125 by 100 or move two decimal places to the right: 125/100 = 1.25
Now multiply the amount of cars sold last year, 332,000, by the percentage decimal, 1.25: 332,000 x 1.25 = 415,000
The car manufacturer sold 415,000 cars this year
The standard eqn of a parabola in vertex form is y-k = a(x-h)^2, where (h,k) is the vertex. There are a good number of steps involved. I don't think it wise not to "show work." I cannot answer this question without going through all those steps.
However, there's an easier way to find the vertex. Identify the coefficients a, b and c:
a= -4, b= -3 and c = 1
Then the x-coord. of the vertex is x = -b / (2a). Subst. -3 for b and -4 for a and simplify. x = ??
Then find the y-coord. of the vertex by subbing your result, above, into the original equation.
Write the vertex as (h,k).
Once you have this vertex, you can find the equation in vertex form as follows:
Start with the general form y-k = a(x-h)^2, where (h,k) is the vertex.
You've already found the vertex (h,k). Subst. h and k into the general form, above. Then only the coefficient "a" remains undefined.
To find the required interest rate, you need to solve the following equation for r:
Answer:
Yeet
Step-by-step explanation:yeet
Use the attached formula.
exp = [log (total / principal) / n*years]
where "n" is compounding periods per year
exp = [log (7,194.66 / 2,978.41) / (365*21)
exp = log (
<span>
<span>
<span>
2.4156042989
</span>
</span>
</span>
) / 7,665
exp = log (
<span>
<span>
2.4156042989
</span>
</span>
) / 7,665
exp = 0.38302579382 / 7,665
exp =
<span>
<span>
<span>
0.00004997074935681670
</span>
</span>
</span>
rate = (10^exp -1)* n
rate = (10^<span>0.00004997074935681670 -1) * n
</span>rate = <span><span>(1.0001150685
</span>
-1) * 365
</span>rate = <span>(.0001150685) * 365</span>
rate =
<span>
<span>
<span>
0.0420000025
</span>
</span>
</span>
rate = <span>4.20000025
%
rate = 4.2 %
Yes, it's just that easy. LOL
</span>