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lesya [120]
3 years ago
10

What is 2 gallons minus 5 quarts

Mathematics
1 answer:
MariettaO [177]3 years ago
6 0
There are 4 quarts in a gallon.
In two gallons would be 8 quarts.

2 gallons - 5 quarts = 8 quarts - 5 quarts = 3 quarts.

Note: 3 quarts is 3/4 or .75 of a gallon.
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Using the grid box, draw a net for a rectangular prism with a length of 8 units, width of 2 units and height of 3 units
Alexandra [31]

I believe this should be the correct answer.

3 0
3 years ago
15 points!
Elena L [17]
So this is a bit confusing. I don't know if you need me to solve them then simplify or just reduce them but I will try to write it anyways.

1. (4^{3} )^5
For this, you can just multiply 3 by 5 which is 15 then place it as an exponent as 4^{15}

But if you need to solve it, you multiply 4 by itself 15 times which is107,3741,824 but I don't think thats what you are looking for but here it is anyways

I assume that it was the former that was the answer

Answer: 4^{15}

2. 4^{-2}

When dealing with negative exponents, you get one and divide by the base according to the exponent. It says -2⇒2 which means you divide 1 by 4, twice

1÷4÷4=.0625

Answer: .0625

3. 4^3

Since its positive, you multiply by the base number (rather than divide if it was negative)

So it is 4×4×4=64

Answer: 64

4. 4^8

Here, you just take what I did in step 3 and multiply by the base number according to the exponent

4×4×4×4×4×4×4×4=65,536

Answer: 65, 536

5. 4^{15}

You do what you did in the previous steps but multiply the base 15 times


4×4×4×4×4×4×4×4×4×4×4×4×4×4×4=1,073,741,824

Answer: 1,073,741,824


If you don't know what to do, go and ask your teacher because he/she would know best on what to do :-) 


7 0
3 years ago
Factorise:2x^4+x^3-14x^2-19x-6
tester [92]

Answer:

(x+1)(2x+1)(x+2)(x−3)

Step-by-step explanation:

Factor 2x^4+x^3−14x^2−19x^−6

2x^4+x^3−14x^2−19x^−6

=(x+1)(2x+1)(x+2)(x−3)

6 0
3 years ago
Victor earns a gross annual income of $64,570 and is buying a home for $125,340. He is making a 15% down payment and financing t
Oliga [24]
Part A:

Given that <span>Victor is buying a home for $125,340 and that he is making a 15% down payment.

The amount of down payment is given by 15% of $125,340 = 0.15 x $125,340 = $18,801.

Therefore, the amount of mortgage he needs to borrow is given by $125,340 - $18,801 = $106,539


Part B

</span>Given that he earns a gross annual income of $64,570 <span>and that the loan of $106,539 will be spread for 20 years at 3.75% interest.

$106,539 / 20 = $5,326.95

Roughly he will be paying about $5,000 every year which is way below his annual gross income. 

Therefore, he can afford the mortgage.


Part C

The monthly mortgage payment can be calculated using the present value of annuity formula given by

</span>PV=P\left( \frac{1-\left(1+\left( \frac{r}{t} \right)\right)^{-nt}}{ \frac{r}{t} } \right)
<span>
where: PV is the current value of the loan, P is the periodic (monthly) payment, r is the annual interest rate, t is the number of payment in one year and n is the number of years.

Here, PV = </span>$106,539; r = 3.75% = 0.0375; t is 12 payments in one year (since payment is to be made monthly); n = 20 years.

Thus, we have:

106,539=P\left( \frac{1-\left(1+\left( \frac{0.0375}{12} \right)\right)^{-20\times12}}{ \frac{0.0375}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+0.003125\right)^{-240}}{0.003125} \right)=P\left( \frac{1-\left(1.003125\right)^{-240}}{0.003125} \right) \\  \\ =P\left( \frac{1-0.472919}{0.003125} \right)=P\left( \frac{0.527081}{0.003125} \right)=168.666P \\  \\ \Rightarrow P= \frac{106,539}{168.666} =631.66

Therefore, the monthly mortgage payment is $631.66


Part D

Since he will make a monthly payment of $631.66 for 20 years, thus he will make a total of $631.66 x 12 x 20 = $151,598.40

Therefore, his total payment for the house will be $151,598.40


Part E

Since he will make a total payment of $151,598.40 for a mortgage loan of $106,539.

Therefore, the amount of interest he will pay is given by $151,598.40 - $106,539 = $45,059.40
7 0
3 years ago
In Sean's class there are 13 boys and 16 girls. Sean will randomly pull one of their names out of a hat to give
elixir [45]

Answer:

(2) 0.55

16/29 = 0.5517 = 0.55

6 0
2 years ago
Read 2 more answers
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