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Liula [17]
2 years ago
14

Find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0

Answer:

$114,000

Step-by-step explanation:

Use formula

I=P\cdot r\cdot t,

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

I_{25}=190,000\cdot 0.03\cdot 25=142,500

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

I_5=190,000\cdot 0.03\cdot 5=28,500

The unpaid balance is

I=I_{25}-I_5=142,500-28,500=114,000

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Solve each system using elimination. 3x+3y=27 x-3y=-11
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Answer:

x=4

y=10

Step-by-step explanation:

3x +3y = 27

x - 3y = -11 (add these up so 3y will be eliminated and you'll have x only)

4x = 16

now let's eliminate x (you can put 4 instead of x though)

3x + 3y = 27

-3/ x -3y= -11 (multiple the the 2nd equation with -3 to eliminate x )

3x + 3y =27

-3x + 3y =33

6y = 60

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3 years ago
Scott baked a batch of rolls. He gave a bag of 10 rolls to each of 7 friends he kept 1 roll for himself. How many rolls did he b
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7 times 10 is 70, so in total the friends got that amount, but we aren’t done, because we still need to add the roll that he kept for himself, so it’s 71. Notice that it didn’t say he left a whole bag for himself, just one roll.
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Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi
Studentka2010 [4]

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

The formula to compute the variances are:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

                 =(5\times 165)-(30\times 25)\\=75

Thus, the covariance is 75.

Compute the variance of X and Y as follows:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

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3 years ago
Help, I’m really tired after a flight and I can’t do this please help me
maxonik [38]

Answer:

they r all the same shap but that is all I know

5 0
2 years ago
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