MATHEMATICS HIGH SCHOOL

a couch sells for $1260. instead of paying the toatl amount at the time of the purchase, the same couch can be brought by paying 400 down and 80 a month for 12 months. how much is saved by paying the total amount at the time of the purchase

Answers

Answer 1
Answer:

Answer:

$100 can be saved.

Step-by-step explanation:

A couch sells for = $1260

The same couch can be brought by paying 400 down payment and $80 per month for 12 months.

Total amount will be paid  = 400 + (80× 12)

                                            = 400 + 960

                                            = $1,360

Difference between the amounts = 1360 - 1260

                                                       = $100

You can save $100  by paying the total amount at the time of the purchase.
Answer 2
Answer: If you pay $400 down, plus $80 for the next 12 months, that means you're paying (80*12)+400 which is equal to $1360. You're saving $100 by paying the entire total up front.

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Concorde could travel 1 mile every 3 seconds.How many miles per hour (mph) is that?
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What is the product of (3a + 2)(4a2 - 2a + 9)?

What number is 20% of 700

Answers

Answer:

140

Step-by-step explanation:

What is 20 percent (calculated percentage %) of number 700? Answer: 140.

Multiply (x + 3)(x – 3). A. x2 + 6x + 9
B. x2 – 9
C. x2 + 6x – 9
D. x2 – 6x + 9

I can't focus.

Answers

Answer:

The answer is B. x^2-9

Step-by-step explanation:

This problem represents a "the Sum and Difference of the same two terms".

If you encounter the same two terms and just the sign between them changes, rest assured that the result is the square of those two terms. Also, the second term will always be negative.

For example:

(a-b)*(a+b)=a^2-b^2

So, in this case:

(x+3)*(x-3)\nx^2-3*x+3*x-9\nx^2-9

Therefore, the answer is B. x^2-9
B would be correct the -3 x and 3 x cancel out

(HELP!!!!!!)the diagram shows the dimensions of the pool cover for a hotel pool

Answers

Step-by-step explanation:

16.5 add all then divide

A fish swims at a rate of 8 feet per second. How far can the fish swim in 23
seconds?

Answers

Answer:

8(23) so 184

Step-by-step explanation:

Answer:

it would have traveled 184 feet

Step-by-step explanation:

Since the rate in which the fish is swimming is 8 feet per second and given that we have to figure out the distance in which it traveled in 23 seconds, we can just multiply 8× 23 to receive 184 feet in 23 seconds.

Tough Math Help !Use PRT To Solve
( Time in Year)

P=300$
R=0.9
T=4 months

* 4 months change to a reduced fraction. there are 12 months in one year.


Find I

Answers

Put 4 months over 12 months. Reduce to 1/3.

i=prt
i=300(0.9)(1/3)
i=$90

Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 litres during the third and so on. Find the number of hours necessary to fill a rectangular tank 16m x 7m x 7m.

Answers

Putting this as an arithmetic sequence gives:

u_n = 150+200(n-1)

The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L

The sum of an arithmetic series can be written as:

S_n=n/2 [2a+(n-1)d] = 784 000\nn/2[2(150)+(n-1)200] = 784 000\nn[300+200(n-1)=1 568 000\n300n+200n^2-200n = 1 568 000\n200n^2+100n- 1 568 000 = 0\n2n^2 +n- 15680 = 0\nn= 88.2...,-88.7

n has to be positive, so we get

n = 88.2 hours (3 s.f.)
Volume of tank = (16m)(7m)(7m) = 784 m³

Conversion of m³ to L:
(784 m³) × (1000L / 1m³) = 784,000 L

Rate in the 1st hour:
150 liters/hr

Rate in the 2nd hour:
350 liters/hr

Rate in the 3rd hour:
550 liters/hr

It is apparent that the Fill Rate is increasing by 200 liters/hr every subsequent hour . . . so that can be represented by the following equation

where:
t = number of hours

Fill rate (i.e. volume of water filled into tank within the specified hour) = 150 + 200(t - 1)

For t = 1 . . . Fill rate = 150 L/hr
For t = 2 . . . Fill rate = 350 L/hr
For t = 3 . . . Fill rate = 550 L/hr

Because after every hour there has been more water added to the tank, this problem can be represented as a geometric sequence in order to account for the compounding of the volume after each time step, but it can also be tabulated (which seems to me to be the more direct/simple approach), so I will build a table that accounts for the increasing Fill Rate and the compounding of water volume after each time step . . .

(see attached)

The answer (after all of this) is . . .  t = 88 hrs 17 1/2 mins (approx)
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