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Novay_Z [31]
2 years ago
11

1/2x+5=-2/3x+1/2 Solve for x

Mathematics
2 answers:
Verdich [7]2 years ago
7 0

\frac{1}{2}x +5 = -\frac{2}{3} x +\frac{1}{2} \\\frac{1}{2} x + \frac{2}{3} x = \frac{1}{2}-5\\ \frac{7}{6} x=-\frac{9}{2} \\x=-\frac{54}{14} =-\frac{27}{7}

Hope that helped!

vagabundo [1.1K]2 years ago
4 0
<h2>Hi dear!!</h2>

●●●●●●●●●●●●●●●●●●●●●●●●

\small\boxed{\sf{\sf\red{{\: x = \sf\ \:{{\: \frac{ - 27}{7}  }}}}}}

●●●●●●●●●●●●●●●●●●●●●●●●

Step 1: Add 2/3x to both sides.

Step 2: Subtract 5 from both sides.

\frac{7}{6} x  + 5 - 5 =  \frac{1}{2}  - 5

Step 3: Multiply both sides by 6/7.

( \frac{6}{7} )*( \frac{7}{6} x) =  (\frac{6}{7} )*( \frac{ - 9}{2} )

So thr answer is

<h3>x=-27/7</h3>
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Fraction of the shape shaded on these two shapes??
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The one of the left isn't too tricky, in the bottom left of it you have 1/2 of 1/4 of the shape, and on the bottom right you have 1/4 of 1/4. Imagine the whole shape was cut up like that bottom right bit into 16 triangles, then you would have three of them shaded (see my diagram).

The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.

Answers: left picture: 3/16.
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3 years ago
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VladimirAG [237]

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3 years ago
Consider a home mortgage of ​$225,000 at a fixed APR of 4.5 ​% for 30 years. a. Calculate the monthly payment. b. Determine the
White raven [17]

<u>The formula for the monthly payment</u>.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1} , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate =\frac{4.5\%}{12}= 0.375\% = 0.00375

Total number of months = (30*12)months=360 months

Also given that, the principal amount is $225000

a.  So, the monthly payment will be.....

M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140

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So, the percentage of amount that is paid toward the principal =\frac{225000}{410400}*100\% =54.82\%

and the percentage of amount that is paid toward the interest =\frac{185400}{410400}*100\%=45.18\%

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