Answer:
75600k^4 m^4 Hope that help !
Step-by-step explanation:
1. Take out the constants (25×7×18×24) kkkkmmmm
2. Simplify 25×7=175 (175×18×24)kkkkmmmm
3. Simplify 175×18=3150 (3150×24)kkkkmmmm
4. 3150×24= 75600kkkkmmmm
5. The answer would be 75600k^4 m^4
Answer:
Part a. t = 7.29 years.
Part b. t = 27.73 years.
Part c. p = $3894.00
Step-by-step explanation:
The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.
Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!
Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!
Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!
Let us set up some variabe:
Use the known information:
Now lets find the area
Area = (1/2) * b *h = (1/2) * h * (2h + 8)
Hope that helps!
Answer: 40
Step-by-step explanation:
You first start by multiplying 15 times 16 to see how many ounces you have.
15 x 16 = 240
Then you divide it by 6
240/6 is 40
So you can make 40 burgers
PR : RC = PQ : AC
so,
PQ = 2.8 inches
Hope this helps
