Answer with explanation:
The Given Inequality is
|x-4|<9
Modulus of a number yields always a positive value.
→|x-4|= x-4, when, x-4≥0
That is , x≥4.
= -(x-4), when, x-4<0
means, x<4.
it can be Written as
→ -9<x-4<9
→ -9+4 < x -4+4 < 9+4
→ -5<x<13
→x∈(-5,13)
Answer:
13 and 53
Step-by-step explanation:
First Integer: x
Larger integer: 5x-12
66=x+(5x-12)
66= x+5x-12
66=6x+12
78=6x
13=x
First Integer: 13
Larger Integer: 13*5-12= 65-12=53
Check Work:
13+53=66
1/10 of 3,000 is 300. Just divide by 10 to get the answer
Answer:
12862.83cm³
Step-by-step explanation:
Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]
Volume of the Sphere: [
] (
=pi=3.14) (r=radius=15) or [
×3.14×3375] or [14137.17cm³]
Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³
Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)
Hope I helped!
9514 1404 393
Answer:
- $304
- $91.83
Step-by-step explanation:
1. The finance charge is found from the simple interest formula;
I = Prt
where P is the principal amount, r is the annual rate, and t is the number of years.
24 months is 2 years, so the interest charged is ...
I = $1900×0.08×2 = $304
The finance charge is $304.
__
2. The monthly payment will be the total amount due, divided by the number of months.
payment = ($1900 +304)/24 = $2204/24 ≈ $91.83
The monthly payment is $91.83.
