The slope of the given line is -2, and since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/2.
Substituting into point-slope form,
Answer:
x = 14 cm
Step-by-step explanation:
200 000 cm = 2 km
1 cm ............... 2km
x cm ..............28 km
x = 28*1/2 = 28/2 = 14 cm
18x^2 + 2x + y^2 = 1
<span>==> 18(x^2 + x/9) + y^2 = 1 </span>
<span>==> 18(x^2 + x/9 + 1/324) + y^2 = 1 + 1/18 </span>
<span>==> 18(x + 1/18)^2 + y^2 = 19/18 </span>
<span>==> (x + 1/18)^2/19 + (y - 0)^2/(19/18) = 1. </span>
<span>By comparing this to the standard form of an ellipse, the center is at (-1/18, 0). </span>
Replace the x in -3^x by 1
Answer is -3^1 = -3
Mervin's loan of $300 is an illustration of compound interest
The interest to pay back in 5 months is $74.2, and the amount to pay back in 5 months is $374.2
<h3>The interest to pay back in 5 months</h3>
The given parameters are:
- Principal, P =$300.00
- Rate, r = 70%
- Time, t = 5 months
The compound interest is calculated as:
CI = P * (1 + r)^(t/12) - P
Substitute known values
CI = 300 * (1 + (0.70))^(5/12) - 300
Evaluate the expression
CI = 74.2
Hence, the interest to pay back in 5 months is $74.2
<h3>The amount to pay back in 5 months</h3>
The amount (A) is calculated using:
A = CI + P
This gives
A = 74.2 + 300
A = 374.2
Hence, the amount to pay back in 5 months is $374.2
Read more about compound interest at:
brainly.com/question/24924853
