Answer:
61
Step-by-step explanation:
- 13 - 1 = 12
- 12 ÷ 2 = 6
- Put 6 and 1 together: 61
Therefore, the number is 61
Let's check:
- 6 × 2 = 12
- 12 + 1 = 13
The sum of the two digits is 13, and we got that, so we are correct. The number is 61.
Answer:
c = 8.14 million×(0.9166)^t
4.83 million
Step-by-step explanation:
Data:
t = y - 2007
c₀ = 8.14 million
c₃ = 23 % less than c₁
Part 1. Calculate c₃
c₃ = c₀(1 - 0.23) = 0.77c₀
Part 2. Calculate r
c₃ = c₀r^t
0.77c₀ = c₀r³
0.77 = r³ Divided each side by c₀
r = 0.9166 Took the cube root of each side
The explicit decay model is c = 8.14 million×(0.9166)^t
Part 3. Prediction
t = 2013 - 2007 = 6
c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million
The model predicts that there will be 4.83 million cars for sale in 2013.
Answer:
x = 59/35
Step-by-step explanation:
<u>Step 1: Distribute</u>
1/8 - 10(3/4 - 3/8x) + 5/8x
1/8 - 30/4 + 30/8x + 5/8x
<u>Step 2: Combine like terms</u>
1/8 - 30*2/4*2 - 30/8x + 5/8x
1/8 - 60/8 + 35/8x
-59/8 + 35/8x
<u>Step 3: Solve for x</u>
-59/8 + 35/8x + 59/8 = 0 + 59/8
35/8x * 8/35 = 59/8 * 8/35
x = 59/35
Answer: x = 59/35
