Answer:
Option a - $9,314.45
Step-by-step explanation:
Cost of the house = $268,500
Time of repayment = 30 years
Repayment is done monthly, so number of repayments = 30 X 12 = 360
Monthly Payment = $1595.85
Rate of interest per payment period =
So, Present value of monthly payments = 1595.85 X ![\frac{(1+\frac{.0625}{12})^{360}-1}{(1+\frac{.0625}{12})^{360}*(\frac{.0625}{12})}](https://tex.z-dn.net/?f=%5Cfrac%7B%281%2B%5Cfrac%7B.0625%7D%7B12%7D%29%5E%7B360%7D-1%7D%7B%281%2B%5Cfrac%7B.0625%7D%7B12%7D%29%5E%7B360%7D%2A%28%5Cfrac%7B.0625%7D%7B12%7D%29%7D)
= $259,185.55
So, Vanessa's down payment = $268,500 - $259,185.55 = $9,314.45
Hope it helps.
Thank you !!
<u><em>Answer:</em></u>
168
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following:</u>
+ve * +ve = +ve -ve * -ve = +ve
+ve * -ve = -ve -ve * +ve = +ve
<u>Now, for the given problem we have:</u>
(-4) * (6) * (-7)
<u>Let's take the first two terms:</u>
(-4) * (6)
Based on the above rules, the product will be negative
<u>Therefore, </u>
(-4) * (6) = -24
<u>Now, the expression became:</u>
(-24) * (-7)
Again, based on the above rule, the product here will be positive
<u>Therefore,</u>
(-24) * (-7) = 168
Hope this helps :)
Answer:
Step-by-step explanation:
![\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\](https://tex.z-dn.net/?f=%5Cmathrm%7BLine%5C%3Apassing%5C%3Athrough%5C%3A%7D%5Cleft%28-1%2C%5C%3A-3%5Cright%29%5Cmathrm%7B%2C%5C%3A%7D%5Cleft%282%2C%5C%3A1%5Cright%29%5C%5C%5C%5C%5Cmathrm%7BFind%5C%3Athe%5C%3Aline%5C%3A%7D%5C%5C%5Cmathbf%7By%3Dmx%2Bb%7D%5Cmathrm%7B%5C%3Apassing%5C%3Athrough%5C%3A%7D%5Cleft%28-1%2C%5C%3A-3%5Cright%29%5Cmathrm%7B%2C%5C%3A%7D%5Cleft%282%2C%5C%3A1%5Cright%29%5C%5C%5C%5C%5Cmathrm%7BCompute%5C%3Athe%5C%3Aslope%5C%3A%7D%5Cleft%28-1%2C%5C%3A-3%5Cright%29%2C%5C%3A%5Cleft%282%2C%5C%3A1%5Cright%29%3A%5Cquad%20%5C%5Cm%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-1%2C%5C%3A-3%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%5C%5C%5Cleft%5C%5C)
![\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\](https://tex.z-dn.net/?f=%5C%5Cm%3D%5Cfrac%7B1-%5Cleft%28-3%5Cright%29%7D%7B2-%5Cleft%28-1%5Cright%29%7D%5C%5C%5C%5CRefine%5C%5C%5C%5Cm%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5C%5Cmathrm%7BCompute%5C%3Athe%5C%3A%7Dy%5Cmathrm%7B%5C%3Aintercept%7D%3A%5Cquad%20b%3D-%5Cfrac%7B5%7D%7B3%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7Dx-%5Cfrac%7B5%7D%7B3%7D%5C%5C)
Convert equation to standard form
![y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5](https://tex.z-dn.net/?f=y%20-%20%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%20%5Cfrac%7B5%7D%7B3%7D%20%3D%200%5C%5C%5C%5CMultiply%20%5C%3Athrough%5C%3A%20by%5C%3A%203%3B%5C%5C%5C%5C3%5Ctimes%20%28y%20-%20%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%20%5Cfrac%7B5%7D%7B3%7D%20%29%3D0%5C%5C%5C%5C3y%20-4x%2B5%20%3D%200%5C%5CArrange%5C%3An%5C%3Aform%5C%3Aof%20%5C%3A%3B%5C%5CAx%20%2BBy%20%3D%20C%5C%5C%5C%5C-4x%20%2B3y%20%3D-5)
Carlos should have 1 tomato
if you solve the 2nd equation for c and plug it in you get 1