Answer:
37/5
Step-by-step explanation:
To solve this problem, let us say that:
money invested in stock A = A
money invested in stock B = B
money invested in stock C = C
The given problem states that:
C = A * (1 / 4) = 0.25 A
B = A * (1 / 2) = 0.50 A
It was stated that we only have $16,000 to invest.
Therefore:
A + B + C = 16,000
Substituting values of C and B in terms of A:
A + 0.50 A + 0.25 A = 16,000
1.75 A = 16,000
A = $9,142.86
So C and B is:
C = 0.25 (9142.86)
C = $2285.71
B = 0.50 (9142.86)
B = $4571.43
Answer:
y = -6/5x + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3/ 5 - 0
= -6/5
To find the y-intercept, you need to plug the coordinates into the equation,
y = -6/5x + b
3 = -6/5(0) + b
3 = 0 + b
b = 3
The equation is y = -6/5x + 3
Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Test each one out! Coordinates are written in (x, y) so just substitute each one
A) 3(1)+2(4) = 11
B) 3(2)+2(3) = 12
C) 3(3)+2(1) = 11
D) 3(4)+2(-1) = 10
Out of all these answers B has a value less than 12 so the answer is:
B (2,3)
