Answer:
Property of Addition
Step-by-step explanation:
Answer:
Rs. 112000
Step-by-step explanation:
- Borrowed money = Rs. 126000
- Interest rate = 15% PA simple
- Time = 3 years
<u>Hari is due to pay after 3 years:</u>
- 126000* (1+ 3*15/100) = 182700
He pays Rs. 70700, remaining money is cleared by giving buffalo.
<u>Cost of buffalo:</u>
- 182700 - 70700= Rs. 112000
<u>Answer is:</u> Rs. 112000
Answer:
Write the expression as:"
70 + 2 * 2 − 18a " ;
______________________________________________________or; write as:
______________________________________________________ "
70.32 + (2.1) * (2.7) − 18a " ;
______________________________________________________To simplify:
______________________________________________________ Using "PEDMAS" (the "order of operations") ;
the "multiplication" comes first;
So: → "(2.1) * (2.7) = 5.67 " .
And rewrite:
______________________________________________________ " 70.32 + 5.67 − 18a " .
Now: " 70.32 + 5.67 = 75.99 " ;
So, we can the final simplified expression as:
______________________________________________________ "
75.99 − 18a " ;
or; write as: "
75 − 18a " .
______________________________________________________
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48
The given sequence is:
1,-1,-3, . . -13
and there are 8 terms.
The related series of this sequence is:
1-1-3-5- ... -13
Notice that the series is an arithmetic series with:
first term, a(1) = 1
common difference, d = -1 - (1) = -2
last term, a(8) = -13
To find the sum of the series, use the sum formula:
S(n) = n/2 [(a(1) + a(n)]
Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:
S(8) = 8/2 [1 + (-13)]
S(9) = 4 . (-12) = -48
Learn more about sum of a series here:
brainly.com/question/14203928
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