I am very stuck on this answer simplify 8/12
Answer:
3
Step-by-step explanation:
Steve will earn $160 interest after four years ⇒ 1st answer
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
- P is the initial deposit
- r is the annual rate in decimal
- t is the time of investment
∵ Steve opens a bank account with a simple annual interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ His initial deposit is $800
∵ He will put the money for four years
∴ t = 4
- Substitute all these values in the formula above
∵ I = 800(0.05)(4)
∴ I = 160
Steve will earn $160 interest after four years
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Answer: tea = 15 rupees per kg
sugar= 3 rupees per kg
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations with the information given:
<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997":
</em>
2 t + 3 s =39 (a)
Where:
- t= price of 1 kg of tea
- s = price of 1 kg of sugar
<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30.
"</em>
2(t1.25)+3(s1.2) = 48.30 (b)
- <em>Solving for t in (b)
</em>
2t =39-3s
t = (39 -3s)/2
t = 19.5-1.5s
- <em>Replacing the value of t in (b)
</em>
2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30
2x ( 24.375 -1.875s) +3.6s =48.30
48.75 -3.75s+3.6s= 48.30
48.75-48.30 = 3.75s-3.6s
0.45= 0.15s
0.45/0.15 =s
3 =s
- <em>Replacing the value of s in (a)
</em>
2 t + 3 (3) =39
2 t + 9 =39
2 t =39 -9
2 t =30
t = 30/2
t= 15
Prices in january:
tea = 15 rupees per kg
sugar= 3 rupees per kg
Feel free to ask for more if needed or if you did not understand something.
