Question 10: P=28cm
if l=8 and w=6
Then (8+6)=14
2(14) so 14x2 = 28
So therefore P=28cm
I=PRT
I=interest
P=principal
R=rate in decimal
T=time in years
we want to find how much he earns when he invests 1250, on 5%, and how much per month, or 1/12 years
P=1250
R=0.05
T=1/12
I=1250(0.05)*(1/12)
I=62.5/12
I=5.2083333
round to nearest cent
I=$5.21
about $5.21 per month
Answer:
2.8 s
Step-by-step explanation:
33x = 28x + 14(m)
5x = 14(m)
<em>x = 2.8(s)</em>
Answer:
The line that meets these conditions is y = 1.5x - 2.5
If you want to use fractions, it would be y = 3x/2 - 5/2
Step-by-step explanation:
To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope. That's easy enough as a perpendicular slope is the negative reciprocal of the given one. As this has a slope of -2/3, our new slope has to be 3/2, or 1.5
All we need to do then is express that rate of change relative to the given point (-1, -4). We can do this by expanding the classic equation:
Δy = sΔx
We can write that as such:
y - (-4) = 1.5(x - (-1))
y + 4 = 1.5(x + 1)
y + 4 = 1.5x + 1.5
y = 1.5x + 1.5 - 4
y = 1.5x - 2.5
Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.
To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:
y = 3(-1) / 2 - 5/2
y = -3 / 2 - 5 / 2
y = -8 / 2
y = -4
So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).
