-10 and -1 multiply to get 10 and add to get -11
I assume that in this question, you are asked to evaluate the value(s) of r. To answer that question, dividing 1252 by 48 gives us 26.0833 or 26. Mathematically expressing the solution,
26 = 26r^4
Then, divide the equation by 26, giving us 1 = r^4. Evaluate r. This will give us answers of +-1.
Answer:
When you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3.
Step-by-step explanation:
The given function is
.
So, for real zeros and x-intercept, the y-coordinate must be equal to zero.
Then it becomes
⇒ x - 2 = 1 {Since log 1 = 0}
⇒ x = 3
Therefore, when you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3. (Answer)
<u>We are given:</u>
The function: y = -16t² + 64
where y is the height from ground, t seconds after falling
<u>Part A:</u>
when the droplet would hit the ground, it's height from the ground will be 0
replacing that in the given function:
0 = -16t² + 64
16t² = 64 [adding 16t² on both sides]
t² = 4 [dividing both sides by 16]
t = 2 seconds [taking square root of both sides]
<u>Part B:</u>
for second droplet,
height from ground = 16 feet
time taken = t seconds
acceleration due to gravity = 10 m/s²
initial velocity = 0 m/s
h = ut + (1/2)at² [second equation of motion]
16 = (0)(t) + (1/2)(10)(t²)
16 = 5t²
t² = 16/5
t = 1.8 seconds (approx)
Therefore, the second droplet takes the least amount time to hit the ground
Answer:
f(t) = 101,234
Step-by-step explanation:
First, use FV formula to find the rate ;r given PV=101,234 and FV=104,271.02 and time= 1 year

104,271.02 = 101,234
Divide both sides by 101,234 to get;
104,271.02 / 101,234 = 1+r
1.03 = 1+r
1.03 -1 =r
therefore r= 0.03 or 3%
Next, to get the function of FV of estate after t years; f(t) ;
Plug in the 3% rate found above into the FV formula with PV being the current value of 101,234 and it becomes;
f(t) = 101,234