Answer:
Question 1: A,B,D,F
Queation2: the order is 2,3,1
Question3:A
Question4:A
Step-by-step explanation:
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
But 4 = 2² and 8 = 2³
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ
Multiply out the powers, also since the
2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ
Since the bases are the same, hence the powers are also the same.
4x + 10 = 9x
4x - 9x = -10
-5x = -10
x = -10/-5
x = 2
Hope this explains it.
Answer:
The amount after 8 years is $ 16,031.579
Step-by-step explanation:
Given as :
The Principal invested = $ 16000
The rate of interest compounded daily = 9 %
The time period = 8 years
Let The amount after 8 years = $ A
<u>From Compounded method </u>
Amount = Principal invested × 
Or, Amount = 16000 × 
Or, Amount = 16000 × 
∴ Amount = $ 16,031.579
Hence The amount after 8 years is $ 16,031.579 Answer
Answer:
11 cm
Step-by-step explanation:
Given:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
Question asked:
The pencil is centimeters shorter now than when it was new = ?
Solution:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm
= 11 cm
Length of pencil has been used during a month = 11 cm
Answer:
Option (D)
Step-by-step explanation:
Surface area of a square pyramid is determined from the formula,
Surface area = Area of the square base + 4(Area of one lateral triangular side)
Area of the base = (Side)²
= 8²
= 64 cm²
Area of one lateral triangle = 
= 
= 32 cm²
Therefore, surface area of the square pyramid = 64 + 4(32)
= 64 + 128
= 192 cm²
Therefore, Option (D) will be the correct option.