$394.51 is future value of money after 2 years.
What future value means?
- A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time.
- Investors and financial planners use the future value to project how much an investment made now will be worth in the future.
The method that results in more money after 2 years is Peggy's investment.
Which method results in more money in 2 years?
The formula for calculating the future value of an investment:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379
Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51
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Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
0.114,0.5263
Step-by-step explanation:
Given that a firm buys components from two suppliers:
A : 60% Defective 9%
B:40% Defective 15%
a) the probability that the next component the firm buys is defective
=prob purchased from A and defective + prob purchased from B and defective
= 
b) the probability that the component that the firm buys is from supplier B if we know that it is defective
=Prob from B and defective/Prob defective
= 
5. 6√3
6. x = 10√3 y = 30
7. x = 34 y = 17√3
8. 30
9. SinA = 3/5 CosA = 4/5
10. Tan20 = 9/x
Multiply both sides by x to get it on the other side
x(tan20) = 9
Divide 9 by tan20 to get x.
x = 9/tan20
x = 24.7
