Get the answers you've been looking for with the help of IDNLearn.com's expert community. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.
Sagot :
Certainly! Let's break down the solution for these two expressions step-by-step.
### First Equation Calculation:
[tex]\[ 1000(1 + 0.5)^5 \][/tex]
1. Identify the base, rate, and time:
- Base = 1000
- Rate = 0.5
- Time = 5
2. Add the rate to 1:
[tex]\[ 1 + 0.5 = 1.5 \][/tex]
3. Raise 1.5 to the power of the time (5):
[tex]\[ 1.5^5 \][/tex]
4. Multiply the base by the result of the power calculation:
[tex]\[ 1000 \times (1.5^5) \][/tex]
5. Get the final answer for the first equation:
[tex]\[ 1000 \times 7.59375 = 7593.75 \][/tex]
### Second Equation Calculation:
[tex]\[ 80000(1.17)^2 \][/tex]
1. Identify the base, rate, and time:
- Base = 80000
- Rate = 0.17
- Time = 2
2. Add the rate to 1:
[tex]\[ 1 + 0.17 = 1.17 \][/tex]
3. Raise 1.17 to the power of the time (2):
[tex]\[ 1.17^2 \][/tex]
4. Multiply the base by the result of the power calculation:
[tex]\[ 80000 \times (1.17^2) \][/tex]
5. Get the final answer for the second equation:
[tex]\[ 80000 \times 1.34289 = 109511.99999999999 \][/tex]
### Summary of Results:
- The result of [tex]\( 1000(1 + 0.5)^5 \)[/tex] is [tex]\( 7593.75 \)[/tex].
- The result of [tex]\( 80000(1.17)^2 \)[/tex] is [tex]\( 109511.99999999999 \)[/tex].
Thus, the detailed step-by-step evaluation leads us to the final answers:
[tex]\[ \boxed{7593.75 \text{ and } 109511.99999999999} \][/tex]
### First Equation Calculation:
[tex]\[ 1000(1 + 0.5)^5 \][/tex]
1. Identify the base, rate, and time:
- Base = 1000
- Rate = 0.5
- Time = 5
2. Add the rate to 1:
[tex]\[ 1 + 0.5 = 1.5 \][/tex]
3. Raise 1.5 to the power of the time (5):
[tex]\[ 1.5^5 \][/tex]
4. Multiply the base by the result of the power calculation:
[tex]\[ 1000 \times (1.5^5) \][/tex]
5. Get the final answer for the first equation:
[tex]\[ 1000 \times 7.59375 = 7593.75 \][/tex]
### Second Equation Calculation:
[tex]\[ 80000(1.17)^2 \][/tex]
1. Identify the base, rate, and time:
- Base = 80000
- Rate = 0.17
- Time = 2
2. Add the rate to 1:
[tex]\[ 1 + 0.17 = 1.17 \][/tex]
3. Raise 1.17 to the power of the time (2):
[tex]\[ 1.17^2 \][/tex]
4. Multiply the base by the result of the power calculation:
[tex]\[ 80000 \times (1.17^2) \][/tex]
5. Get the final answer for the second equation:
[tex]\[ 80000 \times 1.34289 = 109511.99999999999 \][/tex]
### Summary of Results:
- The result of [tex]\( 1000(1 + 0.5)^5 \)[/tex] is [tex]\( 7593.75 \)[/tex].
- The result of [tex]\( 80000(1.17)^2 \)[/tex] is [tex]\( 109511.99999999999 \)[/tex].
Thus, the detailed step-by-step evaluation leads us to the final answers:
[tex]\[ \boxed{7593.75 \text{ and } 109511.99999999999} \][/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.