Caiden's balance after 5 years would be $831
<u>Explanation:</u>
Given:
Principal, p = $475
Rate of interest = 3.8%
time, t = 15 years
Balance after 15 years = ?
We know:

where,
n = number of compounding periods
r = rate of interest
t = number of years
Substituting the value;

Therefore, Caiden's balance after 5 years would be $831
Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:

Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
<u><em>3118=61*x</em></u>
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:

51.11 seconds=x
<u><em>
The amount of time the roller coaster is in motion is 51.11 seconds.</em></u>
Answer:
<h2>x=3</h2>
Step-by-step explanation:
Let's solve your equation step-by-step.
8.88=−2.22(x−7)
Step 1: Simplify both sides of the equation.
8.88=−2.22(x−7)
8.88=(−2.22)(x)+(−2.22)(−7) (Distribute)
8.88=−2.22x+15.54
Step 2: Flip the equation.
−2.22x+15.54=8.88
Step 3: Subtract 15.54 from both sides.
−2.22x+15.54−15.54=8.88−15.54
−2.22x=−6.66
Step 4: Divide both sides by -2.22.
−2.22x
/−2.22
=
−6.66
/−2.22
x=3
Remember that the formula for the surface area of a sphere is

. Substitute the given surface area to solve:

. Divide by 4 on both sides:

. Divide by pi on both sides:

. Square root on both sides to find the radius: