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Alexandra [31]
3 years ago
12

The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers? Original system: x + y

= 10, y = 4x Slope-intercept form: y = –x + 10, y = 4x Use the work shown to complete the statement. The slopes and y-intercepts of the two equations are , so this system has
Mathematics
2 answers:
mihalych1998 [28]3 years ago
7 0

Answer:

different

, so this system has

✔ exactly one solution

Step-by-step explanation:

Tcecarenko [31]3 years ago
6 0

Answer:

aight here ya go

The slopes and y-intercepts of the two equations are

✔ different

, so this system has

✔ exactly one solution

Step-by-step explanation: i got it wrong so you can get it right :0

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trapecia [35]

The monthly payment of Angelica on the loan after she graduates in 4 years is $97.22.

<h3>How do we calculate the monthly payment of a loan?</h3>

Firstly, we calculate the future value (FV) of the loan in 4 years as follows:

FV in 4 years = Loan amount * (1 + Interest rate)^4 = $16,000 * (1 + 0.056)^4 = $19,896.45

Secondly, the monthly payment is calculated using the formula for calculating the future value of an ordinary annuity as follows:

M = FV in 4 years / ((((1 + r)^n) – 1) / r) ....................... (1)

Where:

M = Monthly payment = ?

r = monthly interest rate = 0.056 / 12 = 0.00466666666666667

n = number of months = 12 years * 12 months = 144

Substituting all the relevant values into equation (1), we have:

M = $19,896.45 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)

M = $97.22

Learn more about future value here: brainly.com/question/2472793.

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4 0
2 years ago
a triangle has vertices at (1, 1), (1, 2), and (3, 2). it is dilated by a scale factor of 3 within the origin as the center of d
PolarNik [594]

Answer:

(3,3), (3,6), (9,6)

Step-by-step explanation:

A triangle ABC has vertices at A(1, 1), B(1, 2), and C(3, 2).

The dilation by a scale factor of 3 within the origin as the center of dilation has the rule

(x,y)\rightarrow (3x,3y)

Hence,

  • A(1,1)\rightarrow D(3,3)
  • B(1,2)\rightarrow E(3,6)
  • C(3,2)\rightarrow F(9,6)

See attached diagram for details.

6 0
4 years ago
Find the distance between the points given. (-1, -1) and (1, 3)
ra1l [238]

Answer:

Step-by-step explanation:

DISTANCE FORMULA

D=(SQRT(X2-X1)^2+(Y2-Y1)^2)

SQRT(1-(-1))^2+(3-(-1)^2)

SQRT((2)^2+(4)^2)

SQRT(4+16)

SQRT(20)

2SQRT(5)

5 0
3 years ago
Out of 40 chocolates, ram and i shared in the ratio 1:3 . how many chocolates did ram get?
Leviafan [203]
So ram had 10 chocolates and i had 30 chocolates

because 1:3= 10:30
=> 4= 40
4 0
3 years ago
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tigry1 [53]

Answer:the answer is 6

Step-by-step explanation:

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3 years ago
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