Answer: ₱40,909.1
Step-by-step explanation:
Given data:
Rate for first year = 4%
Rate for next two years = 6%
Rate for the next 3 years = 7.5%
Interest paid back after 5years = ₱ 15,750
Solution:
How much did she borrow.
= let the sum borrowed be P
= P * 4 / 100
= 4P/100
= 1P/25.
For the next two years
= P* 6 * 2/100
= 12P/100
= 3P/25
For the next 3years
= P* 7.5*3/100
= 22.5P/100
= 9P/40.
1P/25 + 3P/25 + 9P/40 = 15750
77P/200 = 15750
P = 15750 * 200 / 77
P = 315,0000/77
P = ₱40,909.1
The amount borrowed is ₱40,909.1
The standard equation the circle is given by:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
(xo, yo): coordinates of the center of the circle
r: radius of the circle
Substituting values we have:
(x - (- 2)) ^ 2 + (y-1) ^ 2 = (4/2) ^ 2
Rewriting:
(x + 2) ^ 2 + (y-1) ^ 2 = 4
Answer:
An equation that represents the sunflower is:
(x + 2) ^ 2 + (y-1) ^ 2 = 4
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
<u> -1 -4 (4 - a) (a - 1) </u>
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer:
Step-by-step explanation:
quadratic trinomial
: YES. Three terms, 2nd order polynomial.
cubic monomial: NO; this is neither a cubic nor a monomial (1 term).
not a polynomial
: NOT true; this is definitely a polynomial.
fourth-degree binomial: NO; it's a second-degree trinomial.
As the angles are complementary sin A = cos B and sin B = cos A
so sin A + sin B = 0.55 + 0.83 = 1.38
