Answer:
67
Step-by-step explanation:
the volume of a rectangular prism is the three sides multiplied together,
converting the mixed number to improper fraction to make multiplying easier.
=
converting back to mixed number in simplest form
= 67 R 1
= 67
Answer:
Step-by-step explanation:
Vertex form is
We know that h and k are both -4. Let x be -2 and y be -16.
So the equation in vertex form is
Answer:
Step-by-step explanation:
rate = 3.5% per month
A) Six days later the bank calculated the daily interest.
so, time = 6 days
= 6 / 30 = 1/5 month
simple interest
=35%
B) For $5000, t = 1 month
For $2000, t = 20 / 30 = 2/3 month
For $8000, t = 16/30 months
Simple interest for $5000
$175
Simple interest for $2000
=$46.67
Simple interest for $8000
=$149.33
Total amount in account at the end of 30 days is
= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33
= $15371
Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)
n+1 </span>≡ 1 ( mod 3)...(2)
n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2 ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)
n+1 ≡ 2 ( mod 3)...(2)
n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3 ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n ≡ 2 ( mod 3)...(1)
n+1 ≡ 3 ( mod 3)...(2)
n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4 ( mod 3) : ≡ 0 (mod 3) , 24≡ 0 (mod3)
Answer:
- height
- width
- id-k
- width
- base
- square
Step-by-step explanation: