Given:
The value of car before two years = £10000
The value of the car decreases by 5% each year.
To find:
The present value of the car.
Solution:
The exponential decay model for present value is
Where, a is the initial value, r is the rate of decay and t is time in years.
Putting P=10000, r=5 and t 2, we get
On further simplification, we get
Therefore, the present value of the car is £9025.
Step-by-step explanation:
The given expression is :
We need to solve the above expression.
According to one of the law of indices,
Using above property,
Hence, this is the required solution.
Answer:
The slant height of a regular pyramid is
Step-by-step explanation:
we know that
The lateral area of a regular pyramid is equal to
where
LA is the lateral area
P is the perimeter of the base
l is the slant height
we have
substitute in the formula and solve for l
Answer:
139 degrees
Step-by-step explanation:
we only have a central angle here (angle at the center of the circle).
and that angle remains the same along these 2 lines all the way out to the circle arc (and beyond, wherever these 2 lines take us).
so, if there is nothing missing in this graph, then x is the same as the inner angle : 139 degrees
Notice that the two minus signs cancel out, so 12-(-5) is equivalent to 12+5. This sum is clearly 17.