You're looking for points that are both on plane A and plane B. Also, the intersection of two planes is a line. So all answers with just a point or point C in them are incorrect. That leaves line ED. E and D are both in plane A and B.
Compound interest formulaAccumulated sum= P(1+r)^twhere P=present valuer=interest per periodt=number of periods
Given
P=48000
i=7% per year
accumulated sum = 121
Need to find t
Apply compound interest formula
121000=48000(1.07)^n
Divide by 48000, and take log on both sides
n*log(1.07)=log(121000/48000)
n=log(121000/48000)/log(1.07)
=13.666 years
Ans. it will take 13.7 years the initial deposit will reach 121000
a) x-intercepts (where it passes through the x-axis) are: 0.05, 0.745, 0.8, 1.45, 1.55, 2.2
The x-intercepts represent when height = 0 and y-intercepts represent when time = 0
b) The graph is positive when height is positive: [0.05, 0.745] U [0.8, 1.45] U [1.55, 2.2]
c) The graph is negative when height is negative: [0, 0.05] U [0.745, 0.8] U [1.45, 1.55] U [2.2, ∞)
d) The average rate of change is the slope (rise/run) between the coordinates when x = 0.75 <em>(y = -5)</em> and when x = 1.125 <em> (y = 1.7). </em>
slope =
=
= 6
Answer:
The amount left with Valentina is $10,000.
Step-by-step explanation:
The question is:
Valentina goes shopping at the mall with $50,000. She spends 3/5 of that amount on a diver and half the rest on a skirt. How much money does Valentina have left?
The original amount Valentina had was, <em>P</em> = $50,000.
Compute the amount spent on a diver as follows:
D =
of $50,000

The amount spent on a diver was, <em>D</em> = $30,000.
Amount left:
A = P - D
= 50000 - 30000
= 20000
Compute the amount spent on a skirt as follows:
S =
of $20,000

Amount left:
A₁ = A - S
= 20000 - 10000
= 10000
Thus, the amount left with Valentina is $10,000.