<span>peter will need 60 packages of biscuits and pamphlets.</span>
Answer: 13
Step-by-step explanation:
Pythagoras's theorem:
A^2 + B^2 = C^2
12^2 + 5^2 = x^2
144 + 25 = x^2
169 = x^2
13 = x
1st let's calculate the decreasing rate & let V₁ be the initial value & V₂ the final's
we know that V₂=V₁.e^(r,t) where r=rate & t-time (& e=2.718)
After t= 2 years we can write the following formula
2350,000=240,000.e^(2r)==> 235,000/240000 = e^(2r) =>47/48=e^(2r)
ln(47/48)=2rlne==> ln(47/48)=2rlne=2r (since lne =1)
r= ln(47/48)/2==>r=-0.0210534/2 =-0.01052 ==> (r=-0.01052)
1) Determine when the value of the home will be 90% of its original value.
90% of 240000 =216,000
Now let's apply the formula
216,000=240,000,e^(-0.01052t), the unknown is t. Solving it by logarithm it will give t=10 years
1.a) Would the equation be set up like so: V=240e^.09t? NON, in any case if you solve it will find t=1 year
2)Determine the rate at which the value of the home is decreasing one year after : Already calculated above :(r=-0.01052)
3)The relative rate of change : it's r = -0.01052
First, distribute 3 into the parenthesis(multiply it to every term inside):
Add 21 to both sides:
Subtract 15m to both sides:
Divide -11 to both sides:
To check our work we can plug this back into the original equation for 'm':
Multiply:
Distribute 3 into the parenthesis:
Subtract:
Both sides are equal to each other, so we solved it correctly.
