Please check the attached image for answer.
<em>By </em><em>Benjemin</em>
Answer:
After 45.7 years
Step-by-step explanation:
∵ r = 1/2% per year
∵ P0 = $40
∵ Pn = $50
∵ Pn = P0 ( 1 + r/100)^n-1
∵ P0 is initial value , Pn is the value after n years , is the rate
∴ 50 = 40 (1 + 0.5/100)^n-1
∴ 50/40 = (1.005)^n-1
∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides
∴ ln(1.25) = (n-1)ln(1.005)
∴ n - 1 = ln(1.25)/ln(1.005)
∴ n = ln(1.25)/ln(1.005) + 1 = 45.7 years
Answer:
Δ MNO ≅ ΔXYZ by AAS postulate.
Step-by-step explanation:
Given:
,
, and YO = NZ.
Consider YO = NZ
Add OZ on both sides
YO + OZ = NZ + OZ
YZ = NO
Consider triangles Δ MNO and ΔXYZ.
Statement Reason
1.
Given
2.
Given
3. YZ = NO ∵ YO = NZ
Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.
-10b--3b= 7b and then 113-71=42 and 42 divide it by 7b which is gonna be b=6
0.191= 19.1%
338mL × 0.191= 64.558mL acid
We round to the nearest tenth, getting a total of 64.6mL acid.