Answer:
Rent in 10th year = $5345.90
Step-by-step explanation:
Rent of apartment during first year = $1800 per month
But growth in rent with 11.5% per year will be represented by the exponential function,
Rent in 't'th year =
=
=
Therefore, rent during 10th year will be,
Rent in 10th year =
= $5345.90
Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
=
where a₁ is the first term and r the common ratio
Here = 1530 and r = 2, thus
= 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Option C: is the surface area of the prism
Explanation:
Given figure is a triangular prism.
We need to determine the surface area of the triangular prism.
The formula to find the surface area of the triangular prism is given by
where b is the base of the triangle,
h is the height of the triangle,
are the three sides of the triangle and
H is the height of the prism.
Let us substitute the values ,
,
,
,
and
in the formula, we get,
Simplifying, we get,
Multiplying the term, we get,
Adding the terms, we have,
Thus, the surface area of the prism is
Hence, Option C is the correct answer.
Answer:
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is
Suppose the height of the building is
From the figure, we can write
The height of the building is 45.03 ft
