Two solutions were found :<span> t = 8 t = 0</span>
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "t2" was replaced by "t^2".
Step by step solution :Skip Ad
<span>Step 1 :</span><span>Step 2 :</span>Pulling out like terms :
<span> 2.1 </span> Pull out like factors :
<span> t2 - 8t</span> = t • (t - 8)
<span>Equation at the end of step 2 :</span> t • (t - 8) = 0
<span>Step 3 :</span>Theory - Roots of a product :
<span> 3.1 </span> A product of several terms equals zero.<span>
</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>
</span>We shall now solve each term = 0 separately<span>
</span>In other words, we are going to solve as many equations as there are terms in the product<span>
</span>Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
<span> 3.2 </span> Solve : t = 0<span>
</span> Solution is t = 0
Solving a Single Variable Equation :
<span> 3.3 </span> Solve : t-8 = 0<span>
</span>Add 8 to both sides of the equation :<span>
</span> t = 8
Two solutions were found :<span> t = 8<span> t = 0</span></span>
Answer:
4, 3, -2 are the 3 roots of the function
We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years
In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.
Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
Answer:
The correct answer is B. 144
