Hence, the annual simple interest rate is:
10%
The initial investment(I) of Jacob Davidson=$ 5000.
Time(T)=2 year.
Interest(I') earned by him=His income after investment-His initial investment.
= $ (6000-5000)
= $ 1000.
Now, the rate of interest(R) is given by :
Hence, the annual simple interest rate is:
10%
Answer:
Step-by-step explanation:
You know that ...
Using what you know about the relationships of these trig functions, you can find ...
cos(θ)² = 1 - ((-√3)/2)² = 1 - 3/4 = 1/4
cos(θ) = -1/2 . . . . . negative square root of 1/4
__
tan(θ) = sin(θ)/cos(θ) = ((-√3)/2)/(-1/2)
tan(θ) = √3
Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter
Probability is the branch of mathematics that deals with the quantification of uncertainty. It is the likelihood of an event happening, expressed as a number between 0 and 1. Probability is used to infer the likelihood of outcomes based on past data and current conditions. Probability is important in decision-making, risk management, and finance.
The probability of a randomly selected registered voter being a Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter who is a Republican believing that global warming is a serious issue, because there are more total registered voters who believe that global warming is a serious issue than there are registered Republicans who believe that global warming is a serious issue. This means that the probability of a randomly selected registered voter being a Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter who is a Republican believing that global warming is a serious issue, because there are more total registered voters who believe that global warming is a serious issue than there are registered Republicans who believe that global warming is a serious issue.
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No, political party affiliation and opinion on global warming are not independent because the probability of a randomly selected registered voter being a Republican is not the same for both "nonissue" and "serious concern" opinion on global warming.
Probability is the branch of mathematics that deals with the quantification of uncertainty. It is the likelihood of an event happening, expressed as a number between 0 and 1. Probability is used to infer the likelihood of outcomes based on past data and current conditions. Probability is important in decision-making, risk management, and finance.
No, they are not independent. This is because the probability of a Republican being selected given that they believe global warming is a serious issue is not equal to the probability of a Republican being selected regardless of opinion on global warming (0.400 vs 0.167). This implies that there is a higher probability of a Republican being selected if they believe global warming is a serious issue.
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Answer:
answer is 13
Step-by-step explanation:
hope it helps.
Solving quadratic equation 16 t² -60t -100=0 formed by Projectile Motion Formula and given conditions it is found that it takes t = 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.
Quadratic equation is an equation which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the standard quadratic equation in x is given by
ax²+bx+c =0, where a, b, c are constants and a≠0
We can solve this equation by factorizing ax²+bx+c and putting those factors equal to zero to solve for x.
Projectile Motion Formula h = -16 t² + v t + s,
where t = time in seconds
h = height of the projectile
v = initial velocity
s= starting height of fall
Given s = 1000 feet, v= 60 feet per second, h = 900 ft
And t we have to find.
Projectile motion equation becomes:
900 = -16 t² + 60 t + 1000
⇒16 t² -60t + 900-1000=0
⇒16 t² -60t -100=0, which is a quadratic equation in variable t
Factorizing this quadratic equation
⇒ 16t² - 80t + 20t -100 =0
⇒16t(t -5) + 20( t - 5 ) =0
⇒ (16t +20) ( t-5)=0
Putting these factors equal to zero
16t +20 =0 ⇒ t = -20/16, which is neglected as time cannot be negative.
t-5 = 0⇒ t =5
Therefore it takes 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.
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Answer:It will take 5 sec for a parachute to open.I did it on a piece of paper for u to show u more information
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
100%-32%=68%
25*0.68=17
The product of 8 and a number x is equal to 32 is 4.
A product is the result of multiplication or an expression that identifies the objects (numbers or variables) to be multiplied, called factors.
The order of multiplication of real or complex numbers does not affect the product. this is called the commutative law of multiplication. When multiplying matrices or terms of several other associative algebras, the product usually depends on the order of the factors. For example, matrix multiplication is noncommutative, as is multiplication in other algebras in general.
Given:
so the product of the two numbers (8 and x) IS equal to 32,
8x=32
x =
x = 4
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