Answer:
$153
Step-by-step explanation:
180 * 0.85 = 153
Answer: $59313.58
Step-by-step explanation:
We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-
, where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.
Given : Annuity payment deposit :A= $4500
rate of interest :r= 6%=0.06
No. of periods : m= 1 [∵ its annual]
Time : t= 10 years
Now we get,

∴ the accumulated amount of the annuity= $59313.58
Answer:
Value of x is, 8
Step-by-step explanation:
Given:
,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by
we get;

Simplify:

or

Simplify:
x = 8
Therefore, the value of x is, 8
Answer:
(-10, 10) and (0,10).
Step-by-step explanation:
For a point to be a solution to the system of inequalities, you will need to see which of the points falls into the shaded area.
When we test out each of the points, we can see that only:
(-10, 10) and (0,10) fall into the blue-shaded area.
To solve this we are going to use the kinematic equation for final velocity:

where

is the final velocity

is the initial velocity

is the acceleration

is the time
We know for our problem that the the velocity at the beginning of the slope is

, so

. We also know that the speed ad the bottom of the slope is

, so

. We also know that the acceleration is

, so

. Lets replace those values in our formula and solve for

:





seconds
We can conclude that it takes the roller coaster
3 seconds to reach the bottom of the slope.