Answer:
The general equation following the pattern becomes is 7 + (n - 1)×2
Where, n = The figure number - 1
Step-by-step explanation:
The pattern in the question can be described as follows;
Figure 2 = (5 + 2) squares boxes = 7 squares boxes
Figure 3 = (5 + 2 + 2) squares boxes
Figure 4 = (5 + 2 + 2 + 2) squares boxes
Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;
7 + (n - 1)×2.
Answer:
a. $45.86
b. $43.87
c. Percentage change = -4.40%)
Step-by-step explanation:
a. Let the price of share at the beginning of first year be represented with X
Now, Price of company's share dropped by 3.50% at the end of first year.
So, Price of share at the end of first year = x - 3.5% of x
= x - 0.035x
= 1x - 0.035x
= 0.965x
But it is equal to $44.25
=> 0.965x = 44.25
x = 44.25 / 0.965
x = 45.8549223
x = $45.86
b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99 = $43.87
c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100
= (1.99/45.86)*100
= 0.04339294 * 100
= 4.40%
Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)
Step-by-step explanation:
TSA of a cuboid= 2(lb+bh+lh)
= 2(5×4+4×1.5+5×1.5)
= 2(20+6+7.5)
= 2× 33.2
= 66.4 square units
The volume of the planter that measures 60 l, 60 w. 60 h (D) 216000 cm³
<u>Explanation:</u>
Length, l = 60 cm
Width, w = 60 cm
Height, h = 60 cm
Volume, v = ?
We know,
Volume = length ×width × height
Substitute the values in the formula.
Therefore, the volume of the planter is 216,000 cm³
Answer:
It is the longest one (20).
Step-by-step explanation:
The hypotenuse is the length opposite the right angle and between the legs. In this case it is the longest one.
