Answer:
Step-by-step explanation:
is our quadratic,where h(t) is the height of the object after t seconds. If we are looking for how long, t, it takes the object to hit the ground, h(t) will be equal to 0 since the height of something on the ground is 0. We set the quadratic equal to zero and factor it using the quadratic formula:
and
and
and
the 2 solutions are:
and
and since time can never be negative, we know that it takes 4.98 seconds for the rock to hit the ground under the given conditions.
Answer:
The interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.
Step-by-step explanation:
Given that a person deposits Rs 55000 in Bank P for 2 years at the rate of 10% per annum compounded annually, but after one year, bank has changed the policy and decided to pay semi annual compounded interest at the same rate, to determine what is the percentage difference between the compound interests of the first year and second year, the following calculation must be performed:
Year 1 =
55,000 x (1 + 0.1 / 1) ^ 1x1 = X
55,000 x 1.1 = X
60,500
Year 2 =
60,500 x (1 + 0.1 / 2) ^ 1x2 = X
60,500 x 1.05 ^ 2 = X
66,701.25 = X
55,000 = 100
60,500 = X
60,500 x 100 / 55,000 = X
110 = X
60,500 = 100
66,701.25 = X
66,701.25 x 100 / 60,500 = X
110.25 = X
Therefore, the interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.
Answer:
The angle is approximately 
.
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
To get the angle, we need to use inverse tangent:
The angle is approximated when rounded to the nearest degree.
Answer:
y=2x+6
Step-by-step explanation:
Slope of line is 2
Plug slope and first set of coords into point-slope intercept form
Answer:
x = -9
Step-by-step explanation:
6x + 6 = 3x – 21
Subtract 3x from each side
6x-3x + 6 = 3x-3x – 21
3x+6 = -21
Subtract 6 from each side
3x+6-6 = -21-6
3x = -27
Divide by 3
3x/3 = -27/3
x = -9
