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KiRa [710]
3 years ago
12

What is -6: -The coefficient -The variable -The constant

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0
It’s The coefficient
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√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
What can you tell about a triangle when vibe three side lengths
ale4655 [162]

Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Hope it helps...

5 0
3 years ago
HELP ME PLEASE I DONT KNOW HOW TO DO THIS
Diano4ka-milaya [45]

Answer:

x = - 6

p = 9

k = 1

Step-by-step explanation:

See attached worksheet.

4 0
2 years ago
exa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has trip
Furkat [3]

<u>previous </u><u>budget</u>

  1. mostly basic essentials
  2. little to no luxuries
  3. little saving

current <u>budget</u>

  1. good amount of savings
  2. luxuries
  3. secondary wants
5 0
3 years ago
Read 2 more answers
A kite is fllying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the an
Kitty [74]

Answer:

The answer is sin θ = 115/150

4 0
3 years ago
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