Answer:
A. $7,764.62
Step-by-step explanation:
The amount you will have after 10 years if you invest $2,500 into an account that pays 12% per year, compounded annually is given by
![A=P(1+r\%)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%5C%25%29%5Et)
where
years
![r\%=0.12](https://tex.z-dn.net/?f=r%5C%25%3D0.12)
and P=$2,500
We substitute these values into the formula to obtain;
![A=2500(1+0.12)^{10}](https://tex.z-dn.net/?f=A%3D2500%281%2B0.12%29%5E%7B10%7D)
This will give us;
![A=2500(1.12)^{10}](https://tex.z-dn.net/?f=A%3D2500%281.12%29%5E%7B10%7D)
![A=7764.6205](https://tex.z-dn.net/?f=A%3D7764.6205)
We round to the nearest hundredth to obtain;
![A=7,764.62](https://tex.z-dn.net/?f=A%3D7%2C764.62)
The correct choice is A.
Answer:
105 ft.
Step-by-step explanation:
5 x 12 = 60
So 5 feet is 60 inches.
60 + 3 = 63
That makes the ridge 63 inches long.
When the lion went up the ridge, it traveled 63 inches.
When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.
The lion did this 10 times.
126 x 10 = 1260
Divide 1260 by 12 to find the measurement in feet.
1260 ÷ 12 = 105
2.5 cm?
Is that what you are looking for??
Answer:
Step-by-step explanation
Total number of outcome = 36
Prob(bith <6) = 5/6
Probability (blue and green < 6) = 10/36
= 5/18
Answer:
The correct Option is B. Statement: ∠AFE ≅ ∠AFD Reason: Transitive Property of Equality
Step-by-step explanation:
A is true, but unnecessary. Because after proving statement A, it will imply BC ⊥ GH but that is not required.
C is also true, but this condition is also not useful in the proving the required statement which is to be proved.
D can be proved. But that is not required hence this will make the solution much bigger.
Now, let us take B. we need 2 facts to prove that lines are perpendicular when parallel lines with a transversal is given.
1. We need that the line we want to show perpendicular to the transversal and the transversal itself to form supplementary angles.
2. And the supplementary angles thus formed to be equal.
Condition 1 has been proved by the step 4.
So it must be condition 2 that you need in step 3.
∠AFD = ∠AFE
Reason : Two angles that are equal to the same angle must themselves be equal.( Transitive property of equality)