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zhannawk [14.2K]
3 years ago
12

How do I show that |3 + 10| = |3| + |10|

Mathematics
1 answer:
forsale [732]3 years ago
4 0
Because the absolute value of both is 13. Just put 13=13
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Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
VikaD [51]

Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

P\approx 865.42

We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
3 years ago
The terminal side of an angle measuring pi/6 radians intersects the unit circle at what point?
olga nikolaevna [1]
X = cos(pi/6) = √3/2

y = sin(pi/6) = 1/2

So at point (√3/2, 1/2)
6 0
3 years ago
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Semenov [28]

Okay okay okay

Answer:

r = \frac{30}{71}

Step-by-step explanation:

12 - \frac{r}{6} = 5

6 × 12 × r × 6 - \frac{r}{6} = 5 × 6

72r - r = 30

71r = 30

r = 30 ÷ 71

r = \frac{30}{71}

8 0
2 years ago
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Move the points to create an equation with a positive slope and an integer (positive or negative whole number) y-intercept.
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Answer: there no picture to see it

Step-by-step explanation:

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2 years ago
Hot dogs and hot dog buns are complements. if the price of a hot dog falls, then
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Then the price of hot dog buns would go up, I assume.
If you were the owner of the leading hot dog bun company, and hot dog prices went down, then more people would need to buy hot dog buns. So if you wanted to profit from that you'd raise your prices a little bit to make more money.
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