Answer: y+3 = 4( x + 1)
Step-by-step explanation:
The equation in point slope form is given as :
y - 
= m ( x - 
) , where m is the slope
slope = 4
point given : (-1,-3)
Using the formula :
y - = m ( x - )
and substituting the value , we have
y - (-3) = 4 (x -{-1} )
y+3 = 4( x + 1)
Answer:
tan56°
Step-by-step explanation:
The Addition identity for tangent ratio is
tan(x + y) = 
, thus
= tan(24 + 32)° = tan56°
To calculate simple interest, you first need to multiply the original amount by the percentage of the money which is going to be added.
In this situation, 500 x 0.05 is the interest which will be added each year.
Therefore, $25 will be added each year. Since it is over 4 years, it is (25*4).
So the account will have earned $100 of simple interest.
Although the account will contain $600, it will have EARNED $100 of interest since it started with $500 already.
Answer - A $100 of simple interest will be earned.
Answer:
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
Step-by-step explanation:
We have the following:
x = the speed of the jet in still air.
y = the speed of the wind
we know that the speed is equal to:
v = d / t
therefore the distance would be:
d = v * t
if we replace with the information of the exercise we have:
3 * (x + y) = 1095
3 * (x - y) = 987
we must solve this system of equations, add both equations and we are left:
3 * x + 3 * y = 1095
3 * x - 3 * y = 987
3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987
6 * x = 2082
x = 2082/6 = 347
now to calculate y, we replace:
3 * (347 + y) = 1095
1041 + 3 * y = 1095
3 * y = 1095 - 1041
y = 54/3 = 18
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
