Answer:
The answer is 14.8256594724
Step-by-step explanation:
Point-slope form : y-y₁=m(x-x₁)
Perpendicular to the given line, and passes through (-4, -3)
Given line slope : -4
How we found slope : I found 2 exact points, and found the slope by doing the slope formula (y₂-y₁/x₂-x₁)
m = slope
However, when a line is perpendicular, we must find the negative reciprocal of our slope.
Slope₁ = -4
Slope ₂ = 1/4
Simply plug everything in.
y - y₁ = m(x - x₁)
y + 3 = 1/4(x +4)
~Hope I helped!~
Answer:
2
Step-by-step explanation:
Drawing a table to show the different weather and mood options :
The degree of freedom :
________ WEATHER ________
__________Rain ____ sunny _____ cloudy
Happy
|
Not happy
Here, we have a contingency table formatted in rows and columns
The columns = 3
The rows = 2
Degree of freedom :
(rows - 1) * ( columns - 1)
(2 - 1) * (3 - 1)
1 * 2
= 2
The degree of freedom = 2
Answer:
<em>The amount to be paid is rupee 1872.72</em>
Step-by-step explanation:
<u>Compound Interest
</u>
It occurs when interest in the next period is earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The initial amount is P=1800 at r=8% = 0.08 during t=6 months (t=0.5 years) compounded quarterly. There are 4 quarters in a year, thus n=4.
Calculating A:
A = 1872.72
The amount to be paid is rupee 1872.72
Answer: 33
Step-by-step explanation: We can make an equation. 2:9 can be equal to 2x:9x. So 9x=27, x=3. Then if 9x=27, 2x= 3 times 2=6. 27 +6= 33.