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melamori03 [73]
2 years ago
8

t="\small\bold\green{{help}}" align="absmiddle" class="latex-formula">​

Mathematics
1 answer:
Zina [86]2 years ago
8 0

9514 1404 393

Answer:

  1. y = -2/3x +5/3
  2. y = 2.4x -8

Step-by-step explanation:

Solve for y. The slope (m) is the coefficient of x. The y-intercept (b) is the constant.

1. 3y = -2x +5

  y = -2/3x +5/3 . . . . . m = -2/3, b = 5/3

__

2. y = 2.4x -8 . . . . . . . m = 2.4, b = -8

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1 Hector puts a fence around his rectangular
prisoha [69]

Answer:

48 feet of fence

Step-by-step explanation:

A rectangle has 4 sides, the parallel sides are equal to each other in length.

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If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.

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4 0
3 years ago
√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
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