What annual simple interest rate will increase Jacob Davidson’s initial investment of $5,000 to $6,000 in two years?multiple choice
A)10%

B)5%

C)4%

D)6%

Answers

Answer 1
Answer:

Answer:

Hence, the annual simple interest rate is:

10%

Step-by-step explanation:

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 :

I'=(I* R* T)/(100)\n\n\n1000=(5000* R* 2)/(100)\n\n1000=100R\n\nR=10\%

Hence, the annual simple interest rate is:

10%

Answer 2
Answer: a its 10 percent because of the amount of money he has in his account  

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Help please?If sin O = -sqrt3 over 2 and n < O < 3 pi over 2, what are the values of cos O and tan O?​

Answers

Answer:

  • cos(θ) = -1/2
  • tan(θ) = √3

Step-by-step explanation:

You know that ...

  • cos(θ)² = 1 - sin(θ)²
  • tan(θ) = sin(θ)/cos(θ)
  • cosine is negative in the third quadrant (where π < θ < 3π/2)

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

The following contingency table shows opinion about global warming (nonissue vs. serious concern) among registered voters, broken down by political party affiliation (Democratic, Republican, and Independent). Use the table to answer a) through c) below. Opinions on Global Warming Nonissue Serious Concern Total 500 500 200 1200 Democratic 80 Political Party Republican 300 Independent110 490 42 200 90 Total 710 a) What is the probability that a randomly selected registered voter who is a Republican believes that global warming is a serious issue? 0.400 (Round to three decimal places as needed.) b) What is the probability that a randomly selected registered voter is a Republican given that he or she believes global warming is a serious issue? 0.167(Round to three decimal places as needed.)

Answers

Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter

What is Probability?

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.

What is Probability?

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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9(n-4)-7n=32-2(n+8)

Answers

Answer:

answer is 13

Step-by-step explanation:

hope it helps.

Read the real-world situation and substitute in values for the projectile motion formula. Then solve the resulting quadratic equation by factoring to answer the question. An airplane pilot jumps out of an airplane and has an initial velocity of 60 feet per second downwards. How long does it take to fall from 1000 feet to 900 feet before the parachute opens? The pilot falls for seconds before the parachute opens.

Answers

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.

What is a quadratic equation?

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:

Find the new amount. 25 penalties decreased by 32% is penalties.

Answers

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. write an algebraic expression, an equation, or an inequality

Answers

The product of 8 and a number x is equal to 32 is 4.

What is product?

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 = (32)/(8)

x = 4

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The product means multiply, so the PRODUCT of the two numbers (8 and x) IS equal to 32, so...
8x=32
(-Divide 8 on both sides to isolate the variable)
x=4
(Your result is x=4) :-)