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Alexxandr [17]
3 years ago
14

(4,?) is in line y=2/7x-3. Find the other half of the coordinate

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0
y =  \dfrac{2}{7} x - 3

When x = 4,

y =  \dfrac{2}{7} (4) - 3

y =  \dfrac{8}{7} - 3

y = -\dfrac{13}{7}

----------------------------------------------------------
Answer: (4 , -13/7)
----------------------------------------------------------

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You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

                                                    = $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0
3 years ago
Find the range for the measure of the third side of a triangle given that the measures of two sides are 13 and 27.
IgorLugansk [536]

Answer:

<em>0 < X < 40</em>

Explanation:

[ Leg A ] 13

[ Leg B ] 27

[ Leg C ] x

Since We Are Missing The Third Side Of The Triangle.

x Has To Be Greater Than 0 But Less Than 40

6 0
3 years ago
A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to
solong [7]
Refer to the diagram shown below.

w = 6 7/8 in = 6.875 in, the width of each device.
d = 3 1/2 in = 3.50 in, the space between teo devices.

The total space needed is
D = 4(w+d) + w
    = 5w + 4d
    = 5*6875 + 4*3.5 
D  = 48.375 in  or 48 3/8 in

Answer:  48 3/8 inches or 48.375 inches

6 0
3 years ago
What’s equivalent to 2(3 - x) - 12 + 4x
anygoal [31]

Answer:

2(3-x)-12+4x

6-x-12+4x

6-x-8x

6+8x =

14x

Step-by-step explanation:

3 0
3 years ago
Which are vertical angles?
zhuklara [117]

Answer:

The verticle angles are AB and ED

Step-by-step explanation:

7 0
3 years ago
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