Answer: Triangles are the strongest shape because they have fixed angles and don't distort very easily. Much of that works because the results from the characteristics of triangles, which are the strongest of all shapes.
Explanation: Hope this helps and I can get brainliest :)
A couple purchases a house for $400,000.00. They pay 20% down at closing, and take out a mortgage of $320,000.00. The mortgage company offers them a 4.80% annual rate with monthly compounding. The mortgage will require monthly payments for the next 30 years.
What will be the monthly payment on this mortgage?
Answer:
$ 1678.91
Explanation:
Given that;
Cost of purchasing a house = $400,000.00
Down payment =20%
Mortgage Value (MV) = $320,000.00
Annual rate offered by the mortgage company = 4.80% yearly i.e 0.4 per month
Duration of the Mortgage Loan (n) = 30 years which is equivalent to 360 months.
if we represent the monthly repayment with MR ,To calculate the monthly repayment MR;we have;
MV = MR × ![(\frac{1}{i})*[1-(\frac{1}{(1+i)^{n}} )}]](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7Bi%7D%29%2A%5B1-%28%5Cfrac%7B1%7D%7B%281%2Bi%29%5E%7Bn%7D%7D%20%29%7D%5D)
where i = 0.004 (4.8 % annually expressed as 0.48, divided by 12 monthly payments per year)
∴
=
![*(\frac{1}{0.004})*[1-(\frac{1}{1+0.004)^{360}}})]](https://tex.z-dn.net/?f=%2A%28%5Cfrac%7B1%7D%7B0.004%7D%29%2A%5B1-%28%5Cfrac%7B1%7D%7B1%2B0.004%29%5E%7B360%7D%7D%7D%29%5D)
320,000.00 = MR × 190.60
Monthly repayment (MR) = $ 1678.90870933
Monthly repayment (MR) ≅ $ 1678.91
Answer:
It loses kinetic energy.
Explanation:
The definition of heat is molecules moving fast, so it cooling would mean they slow down.
Answer:
1.33L of gas
Explanation:
1 mole of Baking soda (NaHCO₃) reacts with acetic acid producing 1 mole of CO₂, water and sodium acetate, thus:
NaHCO₃ + CH₃COOH → NaCH₃COO + H₂O + CO₂
5g of NaHCO₃ (Molar mass: 84g/mol) are:
5g × (1mol / 84g) = 0.0595 moles of NaHCO₃ that produce 0.0595 moles of CO₂ -Moles of gas-.
If 1 mole of gas occupies 22.4L, 0.0595 moles occupy:
0.0595 moles gas × (22.4L / mol) = <em>1.33L of gas</em>
Answer:
2,2,3-trimethyl-pentane
Explanation:
The longest chain is 5 carbons so the parent chain is a pentane. There are two methyl groups coming off the second carbon in the chain and 1 methyl group coming off the 3rd carbon in the chain. In total there are 3 methyl groups, hence we get 2,2,3-trimethyl-pentane.