Answer:
I am gonna take a guest and say <em>178</em> for number 3. And for number 4, the answer is <em>44.</em>
Step-by-step explanation:
For number 3, I added 76 and 102 which equals 178. For number 4, I put n+6+3n-10=180 because its a triangle. Do the math and you get n=44. Correct me if I am wrong; I tried my best.
Let's say the numbers are "a" and "b"
now, we know one of them is 7 more than the other, so hmmm let's say "b" is 7 more than "a", so b = a + 7
the difference of their squares is 161, alrite

and surey you know how much that is
now, what's "b"? well, b = a + 7
Answer:
Original: 360 degrees
Opposite: 180 degrees
Step-by-step explanation:
I have no idea where 360 degrees for the full rotation. But that wasn't necessary.
How to calculate Opposite:
360/2=180
Answer:
the correct answer is 5/24. hope this helps
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