If you want to be a millionaire by age 70, and you start saving $50 a month at age 18 (with no previous savings), what expected
1 answer:
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Answer:
B. Between 9% and 9.9%
Step-by-step explanation:
The equation for the sum of a series of monthly payments P earning interest rate r compounded monthly for t years is given by ...
A = P((1 +r/12)^(12t) -1)/(r/12)
The number of years in this case is ...
70 -18 = 52
We want to find r such that ...
1,000,000 = 50·12((1 +r/12)^(12·52) -1)/r
10,000/6 = ((1 +r/12)^624 -1)/r
We can try some values for r to see what may work.
<u>r = 9%</u>
((1 +.09/12)^624 -1)/.09 = 1165.60 . . . not quite enough
<u>r = 10%</u>
((1 +0.10/12)^624 -1)/0.10 = 176408 . . . > 1666.67
The required interest rate will be between 9% and 10%, option B.
_____
In general, finding the exact interest rate is an iterative process. A financial calculator can do it for you. The result is near 9.86%. The graph shows a solution using a graphing calculator.
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Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
Answer:
a = . Surface Area =
. and area of the Dish =
+pi
=
+50.27=51.6
Step-by-step explanation:
(1) Constant. y(x) = a that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.
y max = 2, x max = 4 setting up a equation with a unknown gives
2=a4 and a = .
so we have now.
y(x) = (Done with solving for a Constant).
(2) Surface Area.
Setting Up surface integral.
(i) range in x = 0 to 4.
(ii) range in y = 0 to 2.
integral is.
Integral(0-2)[{integral[(0-4)]}]dy
Evaluating this integral gives. .
and area is surface area + area of the circle with 8ft diameter.
= +pi
=
+50.27=51.6
...
Note the Difference between area and aurface area.!