Answer:
You need to add a picture
Step-by-step explanation:
1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81
Answer: c] $37507.81
2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99
Answer: b)$3211.99
3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87
Answer:
A] $21,526.87
4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20
Answer: d] $52.20
5. Continuously compounded annuity is given by:
FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50
Answer: % increase ≈ 3433%
Step-by-step explanation:
Step 1: work out the difference (increase) between the tow numbers you are comparing.
Increase = New Number - Original Number
Step 2: Divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number x 100
Step 3: Plug in known values
Increase = 6.18
Original Number = 0.18
% increase = 6.18 ÷ 0.18 x 100
% increase = 34.333... x 100
% increase ≈ 3433%
Answer:
I dont know if you need a graph but x≥5 or x≥-3
Step-by-step explanation:
solve
3lx-1l≥12
lx-1l≥4
open into two statements x-1≥4 and x-1≥-4
x≥5
x≥-3
