Gabe and Eugenia bought a house! Their loan is for $117,000 , for 15 years at an annual interest rate of 4% . This results in a

monthly payment of $865.43 . If only the minimum payment is made in month one, how much of the first payment goes toward reducing her balance? First, let's find the amount of interest she paid in month 1

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Each leg of a 45°-45°-90° triangle measures 12 cm. Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z

babunello [11817]

Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.

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Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre

Zina [12379]

To find the solution, we will utilize the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ represents the total amount after $t$ years
tex]P[/tex] indicates the original investment
$r$ signifies the interest rate expressed in decimal
$n$ shows the frequency of compounding per year
$t$ indicates the duration in years

According to our problem, the initial investment is $30,000 with a duration of ten years, thus $P=30000$ and $t=10$ . Interest is compounded annually, so $n=1$ . To convert the percentage interest rate into decimal, we divide it by 100%
$r= \frac{7.9}{100}$
$r=0.079$
Now, we can insert these values into our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=30000(1+ \frac{0.079}{1} )^{(1)(10)}$
$A=3000(1+0.079)^{10}$
Substituting $A$ with $P_{10}$ :
$P_{10}=3000(1+0.079)^{10}$

Consequently, we find that the correct answer is D. $P_{10}=3000(1+0.079)^{10}$

Finally, to determine the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation:
 $P_{10}=3000(1+0.079)^{10}$
$P_{10}=30000(1.079)^{10}$
$P_{10}=64170.54$

Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning at a compound interest rate of 7.9% yearly.

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A recent review of a compact disc distributor’s product line is summarized as follows: Selling Price ($) Number of Titles Midpoi

Inessa [12570]

I'm looking for the same answer. If you have found any solutions, please share them with me!!

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Ax+16=b−3x what is a= and what does b= ?

PIT_PIT [12445]

Response:

Slope=4

x−intercept=−

=−4

b−intercept=

=16.0000

Detailed breakdown:

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