The volume of the right pyramid with a square base is
v = 1/3 Ahwhere v is the volumeA is the area of the baseh is the height
since A = y2
v = 1/3 y2h3v = y2hh = 3v / y2 is the expreesion represents the height of the pyramid

5 0

4 years ago

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An archaeologist locates a fossil of an early human skeleton. To determine the age of the fossil, the archaeologist utilizes a

Pani-rosa [81]

Answer:

15549 yrs old

Step-by-step explanation:

To find the decay constant r we use the formula

t1/2 = 0.693/r

t1/2 is the half-life 5700

5700 = 0.693/r

r = 0.693/5700 = 0.000122 per sec

For the 15% remaining from an initial value of 100%, time t is calculated from

N = Noe^(-rt)

0.15 = 1e^(-0.000122t)

we take natural log of both sides

Ln 0.15 = Ln e^(-0.000122t)

-1.897 = -0.000122t

t = -1.897/-0.000122 = 15549.18 yrs

Approximately 15549 yrs old

8 0

3 years ago

A savings account earns 7.2 (APR) compounded monthly, so it earns 0.6% each month. Cooper has $1500 in the account now. if he de

iragen [17]

Answer-

Cooper will receive $12.00 at the end of the month.

Solution-

Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.

So the total principal becomes 1500+500 = $2000

Given here,

APR = annual percentage rate = 7.2%

But as we have to calculate the monthly interest, so monthly interest rate would be $=\dfrac{7.2}{12}=0.6\%$

Time period = 1 month

So, the interest after 1 month will be,

$\text{interest}=\dfrac{\text{Principal}\times \text{Rate of interest}\times \text{Time period}}{100}$

$=\dfrac{2000\times 0.6\times 1}{100}$

$=\$12.00$

Therefore, Cooper will receive $12.00 at the end of the month.

7 0

3 years ago

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