Answer:
Step-by-step explanation:
MR=2x-1. First equation
RP=9x+3 second equation
MP=MR+RP third equation
MP= 2x-1+9x+3 first equation plus second equation
MP=11x+2
MP=57
57=11x+2 replaced MP value
57-2=11x
55=11x
55/11=x
X=5
Answer: 20 and 22
The product of 20 and 22 is 440 and 22 is 2 more than 20.
Answer:
Step-by-step explanation:
<u>Given the sequence</u>
<u>To find </u>
- Sum of terms from i=5 to i=15
<h3>Solution</h3>
We see the sequence is AP
<u>The required sum is</u>
<u>Using sum of AP formula</u>
<u>Finding the required terms</u>
- i₁ = - 4- 6 = -10
- i₄ = -4 -6*4 = - 28
- i₁₅ = -4 -6*15 = -94
<u>Getting the sum</u>
- S₄ = 1/2*4*(-10 - 28) = -76
- S₁₅ = 1/2*15*(-10 - 94) = -780
- S₅₋₁₅ = S₁₅ - S₄ = -780 - (-76) = - 704
<span>First, we must calculate the amount that will be available after two years. This is given by:
Amount = initial amount * (1 + interest rate)^time
Amount = 1500 * (1 + 0.05)^2
Amount = $1,653.75
Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>
If you graph the points it comes out as a square, so the correct answers would be square, rectangle, parallelogram, and rhombus (a square can be these three but these shapes cannot be squares)