If x-2y=1, what is the value of 2 3x-6y?

Answers

Answer 1

Answer: I hope this helps you

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Physics students drop a ball from the top of a 100 foot high building and model its height above the ground as a function of time with the equation   2 ht   . The height, h, is measures in feet and time, t, is 100 16 t measured in seconds. Be careful with all calculations in this problems and remember to do the exponent (squaring) first.

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Complete question :

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2.The height, h, is measured in feet and time, t, is measured is seconds.

Find the value of h(0). Include proper units. What does this output represent?

Answer:

Kindly check explanation

Step-by-step explanation:

The model given :

Height, h as a function of time :

h(t) = 100 - 16t^2

To find h(0): substitute 0 for t in the model defined ;

h(0) = 100 - 16(0)²

h(0) = 100 - 0

h(0) = 100

The output gives the height at which the ball was before it was dropped, it depicts the height when the travel time of the ball is 0

Katye received 15 gifts and a total of $100 in cash for her birthday. She buys one book that costs $23, and she wants to donate $10 to each of several local charities. How much money will Katye have left over if she donates to as many charities as possible?Describe steps you would use to solve the problem. You do not need to find the answer.

Answers

Okay, so first, Kate buys one book that costs $23. Let's subtract 100 by 23, which is 77. Next, she wants to donate $10 to several charities. If she is feeling extra generous and donates to as many charities as possible, she will donate to seven charities with seven dollars left over. How would I figure this? Well, divide 77 (the sum left over after purchasing the book) by 10. That equals seven (there are seven tens in 70) with a remainder of 7 (she has seven dollars left over, since she cannot donate $7, she can only donate in tens). Hope this helps.

Answer:

Subtract 23 from 100 to find the amount available to donate.

Divide the amount available by 10 and round down to find the number of charities.

Multiply the number of charities by 10 to find the total charitable donation.

Subtract the total charitable donation from the amount available to donate.

Step-by-step explanation:

Mars Take 686 Days To Orbit the sun. What percent of this time does the Earth take to orbit the sun

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All you want to do is find what 686-365 is because that's the percent increase. Next you divide the number that you got by 365 and that's your percentage increase.

Amber has 4/5-pound bag of colored sand. She uses 1/2 of the bag for the project. How much sand does she use for the project?

Answers

Answer:

$(2)/(5)$ -pound of sand

Step-by-step explanation:

We have been given that Amber has $(4)/(5)$ -pound bag of colored sand. She uses 1/2 of the bag for the project.

We need to find 1/2 'of' the 4/5 as:

$(4)/(5)* (1)/(2)$

$(4*1)/(5*2)$

$(2*1)/(5*1)$

$(2)/(5)$

Therefore, Amber used $(2)/(5)$ -pound of sand for the project.

3/10
4/5 - 1/2= 8/10-5/10

Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00

Answers

Answer:

Ans. Nick paid $619.68 more than Miles (exactly $619.54). So the answer is A)

Step-by-step explanation:

Hi, first we need to find the equal monthly payments for both, Miles and Nick, for that, we need to find the effective monthly rate (because the payments are going to be made monthly), also, we need to convert that 4 year period into months. After doing all that, we need to use the following equation and solve for "A".

$Present Value=(A((1+r)^(n) -1))/(r(1+r)^(n) )$

Where:

A= monthly payments

r= rate of interest (for Miles is 0.075/12=0.006458 and Nick 0.131/12=0.010916)

n= number of periodic payments (both are 4*12=48 months)

First, let´s find out how much money Miles has to pay every month.

$5,000=(A((1+0.00645833)^(48) -1))/(0.00645833(1+0.00645833)^(48) )$

$5,000=A(41.1594758)$

$A=121.48$

So, Miles has to pay $121.48 every month, for 48 months, that is a total of $5,830.98 (121.48*48=5,830.98)

Now, let´s do Nick

$5,000=(A((1+0.01091667)^(48) -1))/(0.01091667(1+0.01091667)^(48) )$

$5,000=A(37.2063189)$

$A=134.39$

So, Nick has to pay $134.39 every month, for 48 months, that is a total of $6,450.52 (134.39*48=6,450.52)

The difference is 6,450.52- 5,830.98=619.54

Means that Nick has to pay $619.54 more than Miles. To your answers, the closest is A) $619.68.

Best of luck

Miles:7.75% (0.0775) x 5,000 = $387.5 x 4 = $1550 (over four year period)Nick:13.10% (0.131) x 5,000 = $655 x 4 = $2620$2620 - $1550 = $1,070 (rounded to nearest cent)So the answer is D.

Acellus inverse variation