The first step is 10 - 7 + (2)(14)/4 which equals (2-step) = 3 + 28/4 (3-step) = 3 + 7 (finale-step) = 10
Don't be snarky !
<u>4x - x/4 + x + 1/3 = 2x</u>
Add up the 'x' terms on the left side: (4 + 1/4 + 1)x = 5-1/4 x = 21/4 x
Now the equation is: 21/4 x + 1/3 = 2x
2x is the same as 8/4 x . Subtract it from each side:
13/4x + 1/3 = 0
Subtract 1/3 from each side :
13/4 x = - 1/3
Multiply each side by 4 :
13 x = - 4/3
Divide each side by 13 :
<em>x =</em> (- 4/3) / (13) = <em>- 4 / 39</em>
Answer:
Number 1 can form a right triangle. Numbers 2 & 3 cannot.
Step-by-step explanation:
To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side. In other words, do the Pythagorean Theorem.
5² + 12² = 13²
25 + 144 = 169
169 = 169
<u><em>They are equal therefore Number 1 can form a right triangle.</em></u>
5² + 7² = 9²
25 + 49 = 81
74 = 81
<em>They are not equal, therefore Number 2 can't form a right triangle.</em>
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10² + 12² = 30²
100 + 144 = 900
244 = 900
<em>They are not equal, therefore Number 3 can't form a right triangle.</em>
The numbers are both equal because, 6.80 is six and eight hundredths, and 6.8 is six and eight tenths. When writing decimals any zero added to the end of the number has no value, 8/10 as a fraction is equal to 80/100 if simplified, so Nicky and Marta wrote equal numbers. :)
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000
Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer
