Answer:
the equation should be corrected to fit the data of the problem. With the corrected equation a mass of 0.5 grams remains after 150 years
Step-by-step explanation:
for the mass y( in grams)
y=23* (1/2)^(t/45), t ≥ 0.
the initial mass is at t=0 , then
y= 23 grams → should be 16 grams
half-life from the equation = 45 years → should be 30 years
the correct equation should be
y=16*(1/2)^(t/30), t ≥ 0
then after 150 years → t= 150
y=16*(1/2)^(150/30)= 16*(1/2)^5 = 16/32 = 0.5 grams
then a mass of 0.5 grams remains after 150 years
Answer:
d. $10,234.80
Step-by-step explanation:
we are given
The equipment will cost $26,000
so, Amount is $26000
A=26000
should be invested today at 12%
r=12%=0.12
It is compounded semiannually
so, n=2
t=8
now, we can use formula
now, we can plug values
now, we can solve for P
Answer:
y is 150
Step-by-step explanation:
a straight angle always measures 180 degrees. if x is 30, the simply minus 30 from 180. that should give u 150 which is your answer.
hope this helped!
Answer:
Hans deposits $6000 into an account.
=> Principal P = 6000
Simple interest rate 5% per year.
=> Rate R = 5% = 5/100 = 0.05
The formula to calculate the amount of interest after 4 years:
A = P x R x years = 6000 x (5/100) x 4 = 1200$
Hope this helps!
:)
Hello!
We must use a certain formula to calculate the surface area of a rectangular prism. The formula is:
A = 2 (wl + hl + hw)
Substitute:
A = 2(4 × 5) + (2 × 5) + (2 × 4)
A = 2(20 + 10 + 8)
A = 76 cm squared
ANSWER:
The surface area of the right rectangular prism is 76 centimetres squared.
