Answer:
Principal: $6,166.67
Principal: $5,200.00
Explanation:
<u><em>1. $6000 for 50 days at 20% p.a</em></u>
<u><em></em></u>
In 20% pa, pa means "per annum", i.e. "per year".
Assume simple interest:
Interest:
- Interest = Principal × number of days × annual rate / 360
- Interest = $6,000 × 50 × 20% / 360 = $166.67
Principal = principal + interest = $6,000 + $166.67 = $6,166.67
<u><em></em></u>
<u><em>2. $5000 for 5 months at 0.8% per month</em></u>
Assume, again, simple interest.
- interest: 0.80% per month
Interest:
- Interest = Principal × number of months × montly rate
- Interest = $5,000 × 5 × 0.80% = $200.00
Principal = principal + interest = $5,000 + $200.00 = $5,200
You can see that the accrued interests depend on the principal, the interest rate, and the time.
Answer:
63=7 80=8 52=7 112=10 864=29 396=19 800=28 7200=84
Step-by-step explanation:
now all you have to do is find factors which shouldn't be that hard
Answer:
49x^2 - 9 = 0As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:49 = 7^29 = 3^2x^2 = (x)^2so...(7x - 3)(7x + 3) = 07x - 3 = 0 7x + 3 = 0x = 3/7 x = -3/7
Step-by-step explanation:
![\boxed{\underline{\bf \: ANSWER}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cunderline%7B%5Cbf%20%5C%3A%20ANSWER%7D%7D)
![\sf \: ( 5 + 6 i ) ( 5 - 6 i )](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20%28%205%20%2B%206%20i%20%29%20%28%205%20-%206%20i%20%29)
Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.
![\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%205%5Ctimes%205%2B5%5Ctimes%20%5Cleft%28-6i%5Cright%29%2B6i%5Ctimes%205%2B6%5Cleft%28-6%5Cright%29i%5E%7B2%7D%20)
By definition, i² is -1.
![\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%205%5Ctimes%205%2B5%5Ctimes%20%5Cleft%28-6i%5Cright%29%2B6i%5Ctimes%205%2B6%5Cleft%28-6%5Cright%29%5Cleft%28-1%5Cright%29%20)
Do the multiplications.
![\dashrightarrow \sf \: 25-30i+30i+36](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%20%5Csf%20%5C%3A%2025-30i%2B30i%2B36%20)
Now cancel -30i & +30i
![\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Csf%20%5C%3A%2025%20%5C%3A%20%20%5Cbcancel%7B-%2030i%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%20%5Cbcancel%7B30i%7D%2B36%20)
Now the equation becomes
![\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}](https://tex.z-dn.net/?f=%5Cdashrightarrow%20%5Csf%20%5C%3A%2025%20%5C%3A%20%20%2B%2036%20%5C%5C%20%5Cdashrightarrow%20%20%5Cboxed%7B%5Cbf%20%5C%3A%2061%7D)
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Hope it helps.
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