Answer:
Step-by-step explanation:
Let's say the Physics book costs $x
The Chemistry book will cost $x - $6
Two such Chemistry books will cost;
2($x - $6) = $(2x - 12)
Three such Physics books cost $3x
$(2x - 12) + $3x = $123
$5x - $12 = $123
$5x = $111
x = $22
So the Physics book costs; $22
and the Chemistry book costs $22
- 6 = $16
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
need to spend $18 more in addition to $12
Step-by-step explanation:
Given: According to online music store, if you spend $30 or more, you receive 3 songs for free
To find: How much more money need to be spend in addition to $12 to receive three free songs
Solution:
Let x denotes amount to be spend in addition to $12 to receive three free songs
According to question,

The group of those shapes are parallelograms
Answer:
48
Step-by-step explanation:
First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.
In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:
3 2 2 2 2
And you would multiply all the numbers.
3 x 2 x 2 x 2 x 2
= 6 x 8
= 48