Answer:
Step-by-step explanation:One yard equals 0.9144 meter. Therefore 20 yards = 20 * 0.9144 = 18.288 meters
A = P(1 + rt)
Where:
<span>·
</span>A = Total Accrued Amount (principal + interest)
<span>·
</span>P = Principal Amount
<span>·
</span>I = Interest Amount
<span>·
</span>r = Rate of Interest per year in decimal; r = R/100
<span>·
</span>R = Rate of Interest per year as a percent; R = r * 100
<span>·
</span>t = Time Period involved in months or years
A = 15,000(1+ 0.07(5))
A = 20,250 they acquired in total for 5 years
The yearly amount the get is 15,000 xx 0.07 = $ 1050 per
year
So in the next 25 years addition of 1050x25 = $26250 they
will get
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
The answer is
<span>A. 2/14, 3/21, 4/28
B. 1/8, 2/16, 3/24
C. 1/9, 2/18, 3/27
D. 5/40, 5/45, 5/50</span>
Solutions are 3 and - 5.
Step-by-step explanation:
Step 1:
Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.
⇒ 3x² + 6x - 45 = 0
⇒ x² + 2x - 15 = 0
⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)
⇒ x (x + 5) - 3(x + 5) = 0
⇒ (x - 3)(x + 5) = 0
⇒ x = 3, - 5
