Answer:25,000 in 2 years at annual compound interest, if the rates for the successive years be 4% and 5% per annum respectively is: (1) Rs. 30,000 (2) Rs. 26,800 fa) Rs.
A=P[1+
100
r
]
n
⇒ A=Rs.25,000×(
100
106
)
3
⇒ 25,000×
50
53
×
50
53
×
50
53
⇒ A=Rs.29,775.40
⇒ CI=A−P
⇒ Rs.29,775.40−Rs.25,000
∴ CompoundInterest=Rs.4775.40.
Answer:
The answer is (x,y)=(-10,-7)
Step-by-step explanation:
- The solution comes from replace x= -10 into the equation of y=2/5 x -3.
- Replacement of x= -10 into y = 2/5 x -3 results:
.
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm
6+7 is not > 81
case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81
case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88
case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok
the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
Answer: Choice D
Explanation:
The range is the set of all possible y outputs of a function. The highest y can go is y = 1, which occurs at the vertex. We can have y = 1 or y be smaller than this. Therefore, the range is 
<h3>
Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
====================================================
Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
-----------------------
Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
-----------------------
SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
-----------------------
SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
