<span>Let us start with the plane flying east at a slower speed. Let us assume that its speed is x kilometers per hour. After 4 hours, it will have traveled 4*x = 4x kilometers.
Now let us calculate the speed of the plane flying west. It is faster by 75 kilometers per hour than the other plane. So its speed per hour is x+75 kilometers per hour. After 4 hours, it will have traveled 4( x+75) = 4x+300 kilometers. The total distance traveled by both the planes is 5460 kilometers. In other words, 4x+4x+300 =5460 kilometers.
Now simplify the equation:
8x + 300 = 5460
8x = 5460 - 300
8x = 5160
x = 5160/8 645.
x is the speed of the plane flying east. It is 645 kilometers.
x + 75 is the speed of the plane flying west. It is 645 + 75 =
720 kilometers.</span>
Answer:
not linear
Step-by-step explanation:
this equation becomes y = -4x² + 32x which is a quadratic equation that, when graphed, forms an upside down u-shaped curve (upside down because the x² term is negative; if it's positive then the curve is u-shaped)
Since there are 13 diamonds, there are 39 non diamonds (52-13)
To write a probability, you put the part over the whole
So you get 39/52 which is simplified to 3/4 so C
Hope this helps
<span>Compound
interest formula</span>
Where
<span>
A= Future value
P =
the Principal (the initial amount of money)
r = annual interest rate</span>
t = time
<span>n=
number of times compounded in one t
Remark
----------------------------------------------------------------------------------
r is generally a percentage like 3%, 7% etc and
are applied in the formula as 0.03, 0.07...,
the interest is compounded generally annually (
n=1), quarterly (
n=4),
monthly (
n=12), etc...
t is in years,
In our problem:
</span>
A= 30 000
P =20 000
r = 15%=0.15
time = t = ?
n= 4
applying the formula:
75% of 12 months is 3/4 of 12 months, which is 9 months
Answer: 2 years, 9 months
Step-by-step explanation:
<u>Step 1: Find the slope</u>
<u />
Answer: The slope is 13
