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True [87]
3 years ago
13

Solve for system of equations y = - 5/4x - 2 and y = -1/4x + 19

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

x = -21

Step-by-step explanation:

-5/4x - 2 = -1/4x + 19

subrtact the slope( constant, mx) from both sides

subtract a y-int ftom both sides

divde both sides by the remaining slope(constant or mx)

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20. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until i
DIA [1.3K]

Answer:

  (a)  6 months

Step-by-step explanation:

The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.

That formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.

__

Using the given information, we can solve for t:

  300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))

  1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))

  (1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782

Taking logs, we get ...

  -12t·log(1 +0.113/12) = log(0.950782)

  t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years

This fraction of a year is ...

  (12 months/year)(0.448739 years) = 5.38 months

It will take you 6 months to pay off the loan.

6 0
2 years ago
Help help help help help
sweet [91]

Answer:

3b²+ 4b² + 4b + 2b + 1 +2

7b² + 6b + 3

5 0
3 years ago
Read 2 more answers
Help me please i need help
aniked [119]

Answer:

136 m^{2}

Step-by-step explanation:

2 triangles (front and back): 2 x 1/2 x 6 x 4 = 24

2 rectangles (on both sides) : 2 x 5 x 7 = 70

1 base rectangle: 7 x 6 = 42

total : 24 + 70 + 42 = 136

6 0
4 years ago
Read 2 more answers
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
ipn [44]

The expression equivalent to given expression is \frac{b^4}{a}

<em><u>Solution:</u></em>

Given expression is:

\frac{a^3b^5}{a^4b}

We are asked to find the expression equivalent to given expression

Assume that denominator does not equal to zero

We can apply the exponent rule in given expression

\frac{x^a}{x^b} = x^{a - b}

Apply the above rule in given expression

\frac{a^3b^5}{a^4b} = a^{3-4} \times b^{5-1} = a^{-1}b^4

a^{-1}b^4 = \frac{b^4}{a}

Thus the equivalent expression is found

6 0
3 years ago
Read 2 more answers
Arrange 3x^2 – 6x^4 + 2 + 4x in standard form please
ella [17]

Answer:

3x^(2)+6x+4

Step-by-step explanation:

5 0
3 years ago
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