A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is h = -16t2 + 272t + 1344. When will the ball strike the ground?
Solution 1
Answer:
Time taken to reach the ball to the ground is 21 seconds.
Step-by-step explanation:
Given : A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is .
To find : When will the ball strike the ground?
Solution :
The equation for the ball's height 'h' at time 't' is given by,
When the ball strike the ground the height of the ball became zero.
Substitute h=0 in the given equation,
Taking 16 common,
or
Solve by middle term split,
Reject t=-4 as time can never be negative.
Therefore, Time taken to reach the ball to the ground is 21 seconds.
Solution 2
📚 Related Questions
0.45 ------> 100%
4.26 ------> x
Clearing x we have:
x = (4.26 / 0.45) * (100)
x = 946.6666667%
Thus, the percentage of growth is:
946.6666667 - 100 = 846.6666667
Rounding:
846.7%
Answer:
the percent increase is:
846.7%
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228
Answer: P(x>850)=0.0228
Answer:
2%
Step-by-step explanation:
Answer:
The answer is Ratio
Step-by-step explanation:
From what I know, the dimensions of the larger rectangle can be found from length x width = 250 square centimetres.
Any multiplication problem that equals 250 could work out for length x width.
We rewrite 45 as 3²×5
thus
√45=√(3²×5)
pulling terms out from under the radical we obtain
3√5
thus the exact answer form is:
3√5
or the decimal form is:
6.70820393
The effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate. The card which offers a better deal to the customer is Credit card A.
What is an effective rate of interest?
The effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate, is the interest rate on a loan or financial product that is restated from the nominal interest rate and expressed as the equivalent interest rate if compound interest was payable annually in arrears. It is calculated by the formula,
EIR = [1+(i/n)]ⁿ - 1
The effective rate of interest on Credit Card A is,
Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2729/12)]¹² - 1 = 30.97%
The effective rate of interest on Credit Card B is,
Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2712/365)]³⁶⁵ - 1 = 31.14%
Since the effective rate of Credit card A is less than credit card B, therefore, the card which offers a better deal to the customer is Credit card A.
Learn more about Effective Interest Rates:
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