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a)  225,000  -  202,500 ==$22,500 - down payment on the mortgage.

b) 225,000 x  0.90 ==$202,500 - principal amount of mortgage.

c) N=25*12; R=0.049/12;PV=202500; PMT=PV*R*((1 + R)^N) / ((1 + R)^(N) - 1)==Mortgage payment: $ 1,172.03 - monthly payments.

d) [$1,172.03  x  25 years  x  12 months]  -  $202,500 ==$149,109.00 total interest on the mortgage.

The number of sides is 8.

Based on looking at other problems similar to this, I think you meant 1/3 of the total load which means if we say t=800+x and t=4/3x then subtract the first equation from the second, we get 1/3x=800, or x=2400. Then to solve for t we add 800 to get t=3200. 

So the greatest load the truck can carry is 3200 pounds.

Sorry to say, but you made a couple of mistakes:

1/      Triangles MOQ and NOR are not similar!!!

2/      QO and RO are not equal!!! 

Do you have any reasoning please?

The ratio of the areas is 25/4.

QN and RM are the medians of triangle PQR.

The ratio of QO to NO is 2:1

OR = sqrt[(QN/3)² + (PR/2)²]

Hey there!

I solved this problem using the quadratic formula however I'm sure that you can use other methods of solving a quadratic. 

As we are trying to figure out the time that the ball hits the ground we can set \(h\) as equal to \(0\).

 \(0=-16^2-24t+180 \)

I decided to divide all of our terms by -4 to give us some easier terms to work with. 

\(0=4t^2+6t-45\)

Plugging our numbers into the quadratic formula of  \(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(\frac{-6\pm\sqrt{6^2-(4)(4)(-45)}}{2(4)}\)

After evaluating we get the answer of \(\frac{-3\pm3\sqrt{21}}{4}\)

This can be put in decimal form (rounded to the nearest hundred) as 2.69, or -4.19

Since your answer can't be negative, the ball will hit the ground after 2.69 seconds. 

Hope this helps!

115 = 100%

11.5 = 10%

23 = 20%

115 + 23 = 138.

Your question isn't clear.

If he had 25 tokens after the arcade: 35/60 = 58.33%

If he used 25 tokens in the arcade, 25/60 = 41.66%

Is the $35 with or without tax?

If it is with tax: 

35 = 108.5

32.26 = 100 so $2.74

If it is without tax:

35 = 100

2.98 = 8 so $2.98

thanks

There are 7 primes between 10 and 35: 11, 13, 17, 19, 23, 29, 31.

The product of 11 and any of the others will be less than 350, 6 products.

The product of 13 and any below 26 will be less than 350, 3 more products.

The product of 17 and any below 20 will be less than 350, 1 more product.

There are a total of 10 different products below 350 possible

A loan with compounding monthly interest compounds every month, whereas a loan with compounding daily interest compounds every day. This means that a loan with monthly interest is better.

Sure there can, if you make a square that has all vertices which touch the edge of the circle, then you have 4 chords in a circle already. So, yes.

Well, we can say it is (x+y)^2 which expanded is x^2+2xy+y^2. We can see in the original equation it is x^2 which is in our expanded equation and then 8x is 2xy in the expanded equation. This means that 2xy=8x, or y=4. This means the blank which is y^2 is 4^2 or 16.

So the constant is 16 and the equation is x^2+8x+16.

Yes, that was what was happening lol. Thx!

Now I realize that lol. I was confused on how I should write the sentence and ended up writing a sentence which, as you said, is contradicting itself.

Guest had done simple interest, which is why they got it wrong.

A=P(1+r/n)^(n*t); this is the formula for calculating compound interest. This means the total amount is 1000*(1+(1/10)/1)^(1*2)=1000*(11/10)^2=1000*121/100=10*121=1210 dollars. So your total amount would be 1210 dollars.

Well, first, triangleMOQ is the same as triangleNOR. We can use this similarity to say QO = RO. Aksi we know PR=15, and since N bisects PR, NR=7.5. We can write an equation which states OR^2=(7.5)^2+ON^2. Also, QO+ON=10 so RO+ON=10. Now that we know this, RO has to be more than 7.5 but less than 8.25. Try solving using that and you will have to do a bit more work.

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