You pay $300 for an antique lamp. The lamp is expected to appreciate every of about 8% annually At this rate, how long will it take for the value of the lamb to double

it will take 9 years for the value of the lamb to double.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the value of the lamb after t years.

t represents the number of years.

b represents the initial value of the lamb.

r represents rate of growth.

From the information given,

b = $300

y = 2 × 300 = $600

r = 8% = 8/100 = 0.08

Therefore

600 = 300(1 + 0.08)^t

600/300 = (1.08)^t

2 = (1.08)^t

Taking log of both sides to base 10

Log 2 = log1.08^t = tlog1.08

0.3010 = t × 0.0334

t = 0.3010/0.0334

t = 9 years

it's d

step-by-step explanation:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry