Answer:
see explanation
Step-by-step explanation:
The main diagonal is the perpendicular bisector of the other diagonal. However the other diagonal does not bisect the main diagonal.
Thus the diagonals do not bisect each other.
Answer:
y=-x+8
Step-by-step explanation:
First distribute the negative
2y=(-x+4)2+8
then you would multiply the (-x+4) by the two
2y=-2x+8+8
then you would combined like terms
2y=-2x+16
then you would divide both sides by 2
y=-x+8
Answer:
8
Step-by-step explanation:
Because if you do 15•8•8 then it equals 960 and the formula for volume is l•w•h
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%