Which property is shown in the matrix addition below?

A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i

slava [35]

Answer:

alternative hypothesis : H₁ :

Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average

Alternative Hypothesis : H₁: μ < $1.298 a gallon

Step-by-step explanation:

Explanation:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

Population average μ= $1.298 a gallon

sample size 'n' = 37

Sample mean (x⁻) = $1.192 a gallon

Sample standard deviation 'S' = $0.0436

Null hypothesis :H₀ : μ = $1.298 a gallon

Alternative Hypothesis : μ < $1.298 a gallon

Degrees of freedom : ν = n-1= 37-1=36

t₀.₀₂₅ = 1.688

Test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }$

t = -14.8044

|t| = |-14.8044| > 1.688

Null hypothesis is rejected

Alternative hypothesis is accepted

Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average

6 0

3 years ago

Write a function for the situation described and find the value after 7 yrs. A $16,800 car depreciates 11% each year

seraphim [82]

Answer:The starting value is 20,300, and the value is decreasing by 9.5% each year.

Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.

A decrease by 9.5% corresponds to multiplying by 91.5% each year.

We write . We plug in 11 years for t.

$7,671.18

Click to let others know, how helpful is it

Read more on Brainly.com - brainly.com/question/9053845#readmore

Step-by-step explanation:

3 0

3 years ago

Somebody help me please and thank you!

lys-0071 [83]

Answer:

B

Step-by-step explanation:

Proportional ratio 3:3

3 0

2 years ago

Option 1: You invest $25/month at a rate of 3.25% APR compounded monthly for 30 years. Option 2: You invest $75/quarter at a rat

Tpy6a [65]

Answer:

1)

Option 3 was the least amount invested and The investment plan was single amount

2)

option 2 yielded the highest amount at the end of the 30 years, The basis of the plan is contributions are made at the beginning of the period and $75/ quarter at a rate of 4.00%

3)

Principal invested for the highest final balances = $ 17425.43

Principal invested for the lowest final balances = $ 6489.17

Difference = $ 10,936.26

Difference in the interest earned = Interest earned in 2nd option - Interest earned on 3rd option

Difference in the interest earned = 8425.43 - 5489.17

Difference in the interest earned = $ 2936.26

4)

It is better to invest more money in the beginning as it yield more ( Total Interest earned = 6209.31)

Step-by-step explanation:

Options Contributions Total Interest Earned Final Balance

1 $25/ month 6,250.50 15,250.50

2 $75/ quarter 8,425.43 17,425.43

3 $ 1000 5,489.17 6,489.17

Which option was the least amount invested and what was the investment plan?

Option 3 was the least amount invested and The investment plan was single amount

Which option yielded the highest amount at the end of the 30 years and what was the basis of the plan?

option 2 yielded the highest amount at the end of the 30 years, The basis of the plan is contributions are made at the beginning of the period and $75/ quarter at a rate of 4.00%

What is the difference in the principal invested for the highest and lowest final balances? What is the difference in the interest earned?

Principal invested for the highest final balances = $ 17425.43

Principal invested for the lowest final balances = $ 6489.17

Difference = $ 10,936.26

Difference in the interest earned = Interest earned in 2nd option - Interest earned on 3rd option

Difference in the interest earned = 8425.43 - 5489.17

Difference in the interest earned = $ 2936.26

Is it better to invest more money in the beginning or the end of the 30 years?

It is better to invest more money in the beginning as it yield more

The plan you would recommend for the largest return on investment (this means the most interest for the least amount invested)

Option 1

Amount Invested = 25*12*30 = 9000

if contributions are made at the beginning of the period

Amount at the end of 30 Year = fv(rate,nper,pmt,pv,1)

rate = 3.25% compounded monthly = 3.25%/12

nper = 30 year = 30*12 = 360

pmt = 25

pv = 0

Amount at the end of 30 Year = fv(3.25%/12,360,25,0,1)

Amount at the end of 30 Year = $ 15,250.50

Total Interest earned = Amount at the end of 30 Year - Amount invested

Total Interest earned = 15250.50 - 9000

Total Interest earned = 6250.50

if contributions are made at the end of the period

Amount at the end of 30 Year = fv(rate,nper,pmt,pv,0)

rate = 3.25% compounded monthly = 3.25%/12

nper = 30 year = 30*12 = 360

pmt = 25

pv = 0

Amount at the end of 30 Year = fv(3.25%/12,360,25,0,0)

Amount at the end of 30 Year = $ 15,209.31

Total Interest earned = Amount at the end of 30 Year - Amount invested

Total Interest earned = 15209.31 - 9000

Total Interest earned = 6209.31

Option 2

Amount Invested = 75*4*30 = 9000

if contributions are made at the beginning of the period

Amount at the end of 30 Year = fv(rate,nper,pmt,pv,1)

rate = 4% compounded quarterly = 4%/4 = 1%

nper = 30 year = 30*4 = 120

pmt = 75

pv = 0

Amount at the end of 30 Year = fv(1%,120,75,0,1)

Amount at the end of 30 Year = $ 17425.43

Total Interest earned = Amount at the end of 30 Year - Amount invested

Total Interest earned = 17425.43 - 9000

Total Interest earned = 8425.43

if contributions are made at the end of the period

Amount at the end of 30 Year = fv(rate,nper,pmt,pv,0)

rate = 4% compounded quarterly = 4%/4 = 1%

nper = 30 year = 30*4 = 120

pmt = 75

pv = 0

Amount at the end of 30 Year = fv(1%,120,75,0,0)

Amount at the end of 30 Year = $ 17,252.90

Total Interest earned = Amount at the end of 30 Year - Amount invested

Total Interest earned = 17252.90 - 9000

Total Interest earned = 8252.90

Option 3

Amount Invested = 1000

Amount at the end of 30 Year = fv(rate,nper,pmt,pv,1)

rate = 6.25% compounded monthlyy = 6.25%/12

nper = 30 year = 30*12 = 360

pmt = 0

pv = 1000

Amount at the end of 30 Year = fv(6.25%/12,360,0,1000)

Amount at the end of 30 Year = $ 6489.17

Total Interest earned = Amount at the end of 30 Year - Amount invested

Total Interest earned = 6489.17-1000

Total Interest earned = 5489.17

8 0

3 years ago

The solutions of the quadratic equation Ax^2+Bx+C=0 are called roots and are given by a famous equation called the Quadratic For

schepotkina [342]

The roots of a quadratic equation depends on the discriminant $\Delta$ .

If $\Delta > 0$ , the quadratic equation has two real distinct roots, and it crosses the x-axis twice.
If $\Delta = 0$ , the quadratic equation has one real root, and it touches the x-axis.
If $\Delta < 0$ , the quadratic equation has two complex roots, and it neither crosses nor touches the x-axis.

---------------------

A quadratic equation has the following format:

$y = ax^2 + bx + c$

It's roots are:

$y = 0$

Thus

$ax^2 + bx + c = 0$

They are given by:

$\Delta = b^{2} - 4ac$

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

The discriminant is $\Delta$ .

If it is positive, $-b + \sqrt{\Delta} \neq -b - \sqrt{\Delta}$ , and thus, the quadratic equation has two real distinct roots, and it crosses the x-axis twice.

If it is zero, $-b + \sqrt{\Delta} = -b - \sqrt{\Delta}$ , and thus, it has one real root, and touching the x-axis.

If it is negative, $\sqrt{\Delta}$ is a complex number, and thus, the roots will be complex and will not touch the x-axis.

A similar problem is given at brainly.com/question/19776811

4 0

2 years ago