Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earn
2 answers:
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The possible value of x = 4, dimensions 8 by 9 by 1 (option D), if the volume of a box is .
Step-by-step explanation:
The given is,
................................(1)
Step:1
Check for option A,
x = 1, dimensions 8 by 9 by 1
From the equation (1),
Volume =
= -24...................(2)
From the dimensions,
Volume = ( 8 × 9 × 1 )
= 72............................................(3)
From equation (2) and (3)
-24 ≠ 72
So, X=1; dimensions 8 by 9 by 1 is not possible.
Check for option B,
x = 1, dimensions 2 by 5 by 3
From the equation (1),
Volume =
= -24...................(4)
From the dimensions,
Volume = ( 2 × 5 × 3 )
= 30.........................................(5)
From equation (4) and (5)
-24 ≠ 30
So, X=1; dimensions 2 by 5 by 3 is not possible.
Check for option C,
x = 4, dimensions 2 by 5 by 3
From the equation (1),
Volume =
= 72.............................................(6)
From the dimensions,
Volume = ( 2 × 5 × 3 )
= 30............................................(7)
From equation (6) and (7)
72 ≠ 30
So, X=4; dimensions 2 by 5 by 3 is not possible.
Check for option C,
x = 4, dimensions 8 by 9 by 1
From the equation (1),
Volume =
= 72............................................(8)
From the dimensions,
Volume = ( 8 × 9 × 1 )
= 72............................................(9)
From equation (8) and (9)
72 = 72
So, X=4; dimensions 8 by 9 by 3 is possible.
Result:
The possible value of x = 4, dimensions 8 by 9 by 1 (option D), if the volume of a box is .
Answer:
I think this is a pretty good question of law of indices
Step-by-step explanation:
Given that
a) express n in terms of p and q ,
b) hence if p = 1 and q = 2 find the value of n
Solution to part a)
Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,
now we multiply p with 2 and
multiply q with 3 respectively,
now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base
now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,
hence n is expressed in terms of p and q
Solution to part b)
if p = 1 and q = 2 we plug in these values in the above equation we found for n
n = 2p + 3q
n = 2(1) + 3(2)
n = 2 + 6
n = 7