1.5, 2.25, 3.375, 5.0625, 7.59375... and so on
Answer:
The vertex angle is 180-(60+75)=45.
k/sin75=900/sin45 so k=900sin75/sin45=1229km approx.
Step-by-step explanation:
We know that
Based on the table
Percent%=[1-Decay factor]*100%
so
for decay factor=0.98
Percent%=[1-0.98]*100%----> 2%
for decay factor=0.50
Percent%=[1-0.50]*100%---->50 %
for decay factor=0.64
Percent%=[1-0.64]*100%----> 36%
for decay factor=0.23
Percent%=[1-0.23]*100%----> 77%
therefore
the answer is
36%
Answer: 8° per day.
Step-by-step explanation:
Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:
= 24° / 3 days
= 8° per day
Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P
, where
- A is the future value of the investment, including interest
- P is the principal investment amount (the initial amount)
- r is the interest rate in decimal
- t is the time the money is invested for
∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000
→ Divide both sides by 3000
∴
= 
→ Insert ㏑ in both sides
∵ ㏑(
) = ㏑(
)
→ Remember ㏑(
) = n
∴ ㏑(
) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%