Let x= original savings
(x-1,600) - 2/5 (x-1,600) = 1/3x
(x-1,600) - 2/5 + 640 = 1/3x
(3/5)x - 960 = 1/3x
(3/5)x - (1/3)x = 960
(4/15)x = 960
(15/4)(4/15)x = (15/4) 960
x = 15* 240 (960/4 = 240)
x = $3,600 is his original savings
Check:
$3,600 - 1,600 = 2,000
(2/5)($2,000) = $800
2,000 - 800 = 1,200 left over
Answer:
7.5 metres
Step-by-step explanation:
height : shadow
1.5 : 3
X : 15
X/15 = 1.5/3
X = 15/2
X = 7.5
Answer: Option C) The solution contains points in three quadrants of the coordinate plane.
Please, see the attached files.
Thanks.
Answer:
Option B
Step-by-step explanation:
First term of the given arithmetic sequence 'a' = -3
Common difference in each successive term 'd' = -8 - (-3)
d = -5
Explicit formula for an arithmetic sequence will be,
Here, n = number of term
= nth term of the sequence
For n = 23,
= -3 + (23 - 1)(-5)
= -3 - 110
= -113
Option B is the answer.
Answer:
Emma will pay $5.25
Step-by-step explanation:
In order to find this, we first need to find the amount of the discount. We can do that by taking the overall amount and multiplying it by the percentage decrease.
$7.50 * 30% = $2.25
Now since we know the size of the discount, we can subtract it from the original cost.
$7.50 - $2.25 = $5.25
