MATHEMATICS HIGH SCHOOL

It costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. The cost for 15 people equals _______ PLEASE ANSWER!!!

Answers

Answer 1
Answer: 100 + 4n = $$$
100 + 4x15 = $$$
100 + 60 = $$$
= $160

Hope I helped! Tell me if you need further explanation.
Answer 2
Answer: 100+4(n)
n = 15 
100+4(15)
100+60 = 160
$160 = total price of bowling alley + the 15 people

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A sewing kit includes a spool that holds 24 yards of threadHow many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)

Answers

A sewing kitincludes a spool that holds 864 inches of thread.

Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.

What is standard measurement?

All over the world, most things are in use as of commonquantity, so people all over the world agree that they have to follow a common system of measurement and that the commonsystem of measurement is called standardmeasurement.

here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches

Thus, A sewing kit includes a spool that holds 864 inches of thread.

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Answer:

864 inches

Step-by-step explanation:

12*3=36

36*24=864

Tristan has a points card for a movie theater.He receives 25 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs at least 110 points for a free movie ticket.

Write and solve an inequality which can be used to determine v
�
v, the number of visits Tristan can make to earn his first free movie ticket.

Answers

Answer:

110 = 8.5v +25

Step-by-step explanation:

110 is the total amount of point he needs. He earns 8.5 points per visit. And he only receives 25 points once so add that on and that will determine how many times he needs to visit to get 110 points.

Decide whether the following statement makes sense​ (or is clearly​ true) or does not make sense​ (or is clearly​ false). Explain your reasoning.If interest rates stay at 4​% APR and I continue to make my monthly ​$50 deposits into my retirement​ plan, I should have at least ​$30 comma 000 saved when I retire in 25 years.

The statement ___________ because I will have ​$ ___________ nothing in my retirement account when I retire in 25 years.
​(Round to the nearest cent as​ needed.)

Answers

Answer:

False

$25,706.48

Step-by-step explanation:

The annual percentage rate (APR) is 4%, so the monthly rate is 4%/12 = ⅓%.

25 years = 300 months.

The monthly deposit (annuity) is $50.

The future value of the annuities is:

F = A [(1 + i)ⁿ − 1] / i

Given i = 1/300, A = 50, and n = 300:

F = 50 [(1 + 1/300)³⁰⁰ − 1] / (1/300)

F = 25,706.48

The statement is false.  The amount after 25 years is less than $30,000.

Final answer:

The statement doesn't make sense because if you make $50 monthly deposits at a 4% APR for 25 years, you will have approximately $41,981.86 in your retirement account, not only $30,000.

Explanation:

The statement does not make sense or is clearly false. Let's add up the total deposits over 25 years and calculate the interest gained using the given annual percentage rate (APR) of 4%.

  • Total deposits = $50/month * 12 months/year * 25 years = $15,000
  • Using formula for compound interest, Final Value = P (1 + r/n)^(nt) where P is principal amount (initial investment), r is annual interest rate (decimal), n is number of times that interest applied per time period, t is time the money is invested for. In this case, P=$50, r=4%/12/100%=0.003333, n=1 (monthly), t=12*25=300. After calculations, the final value comes to approximately $41,981.86

Therefore, if you continue to make $50 monthly deposits with a 4% APR for 25 years, you will have just under $41,981.86 in your retirement account, not $30,000 as stated. So, the statement is inaccurate.

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Sin x= 0.46 what is the value of x

Answers

i did it over and i got this 

Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by D = 3w + 60 where w is the number of weeks he has saved 3 dollars. His sister Lana helped him find how much money he will have after 4, 15, 20, and 36 weeks. This table shows her results. What is the rate of change using Lana’s values for D and w? Is this a linear model or non-linear model?

W 4 weeks 15 weeks 20 weeks 36 weeks

D D= 3w =60 D = 3w + 60 D = 3w + 60 D = 3w + 60
= 3*4 +60 = 3 * 15 = 3 * 20 + 60 = 3 * 36 + 60
= 12 + 60 = 45 + 60 = 60 + 60 = 108 + 60
= 72 = 105 = 120 = 168
A.
The rate of change varies. It is a linear model.

B.
The rate of change varies. It is a non-linear model.

C.
The rate of change is . It is a linear model.

D.
The rate of change is 3. It is a linear model.

Answers

The answer is D. The rate of change is 3. It is a linear model.

The original equation D = 3w + 60 is in the form y = mx + b, in which m is always the rate of change.  In this case, m = 3, so the rate of change is 3.

Also, when the rate of change is constant, the equation is always linear.  If the equation was plotted on a coordinate plane, it would create a straight line.
D. The rate of change is 3. It is a linear model.

A boat travels 3,600 meters in 12 minutes what is the boat's speed

Answers

300 meters per minute or 5 meters per second
3,600 x 12 = 43200 because 3,600 x 12 = 43200 the answer is 43200
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