First, you can factor out 625 using the 'tree' method or the 'ladder' method.
625
/ \
5 125
/ \
5 25
/ \
5 5
This means you can say that 625=5 to the power of 4
If your problem requires you to use only whole integers with exponents, then that would be the only way.
If not, then you can also do 625=25*5²
You would write the following proportion: 4/12= 180/x
When you solve the proportion the answer is 540, which means that 12 game packet costs $540.
Answer:
3
Step-by-step explanation:
First we put the sentence into a function
9/10 * x + 6= 51Well then we solve<span>.</span><span>9/10* x= 51-6
9/10*x= 45
(<span>for</span> me is easier to make the fraction into a decimal...)
0.9*x= 45
x=45/0.9
x= 50
We check
9/10 * 50 + 6= 51
45+6=51
51=51
So the answer is x= 50</span>
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