<h3>Answer:</h3>
56 m²
<h3>Explanation:</h3>
The altitude from point B to segment CP is the same for ∆BMP as for ∆BMC. Since both have the same base length (MP = MC), both have the same area, 21 m². Hence the area of ∆CPB is (21+21) m² = 42 m².
The altitude from point C to segment AB is the same for ∆CPA as for ∆CPB, so the areas of those triangles will have the same proportion as the base segments AP and BP. That is, ...
... AACPA : ACPB = PA : PB = 1 : 3
The ratio of ACPB to the total is then ...
... ACPB : (ACPA +ACPB) = 3 : (1+3) = 3 : 4
The area of ∆ABC is the total of the areas of the smaller triangles CPA and CPB, so we have
... ACPB : AABC = 3 : 4
... AABC/42 m² = 4/3 . . . . . rearranging slightly and substituting for ACPB
... AABC = (42 m²)×(4/3) . . . . multiply by the denominator
... AABC = 56 m²
Answer:
where is the question
have a good day :)
Step-by-step explanation:
Answer:
one tenth of a sandwich
Step-by-step explanation:
8 because it’s the largest coefficient
Answer:
$6261.61
Step-by-step explanation:
The solution to the differential equation is the exponential function ...
A(t) = 5000e^(0.0225t)
We want the account value after 10 years:
A(10) = 5000e^(0.225) = 6261.61
The value of the account after 10 years will be $6,261.61.
_____
The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).
Or, you can solve the differential equation using separation of variables:
dA/A = 0.0225dt
ln(A) = 0.0225t +C . . . . integrate
A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000