$$ 1.3 \quad 160 $$ is increased by $$ 62 \frac{1}{2} \% $$ 1.4245 is increased by $$ 120 \% $$ Calculate the amount if: 2.276 is decreased by $$ 50 \% $$ 2.3 120 is decreased by $$ 33 \frac{1}{3} \% $$ 2.4360 is decreased by $$ 93 \% $$ problems involving percentages

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UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$1.4245\left(1+\frac{120}{100}\right)$$
- step1: Reduce the fraction:
  $$1.4245\left(1+\frac{6}{5}\right)$$
- step2: Add the numbers:
  $$1.4245\times \frac{11}{5}$$
- step3: Convert the expressions:
  $$\frac{2849}{2000}\times \frac{11}{5}$$
- step4: Multiply the fractions:
  $$\frac{2849\times 11}{2000\times 5}$$
- step5: Multiply the terms:
  $$\frac{31339}{2000\times 5}$$
- step6: Multiply the terms:
  $$\frac{31339}{10000}$$
Calculate or simplify the expression $$ 2.4360 * (1 - 93 / 100) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2.436\left(1-\frac{93}{100}\right)$$
- step1: Subtract the numbers:
  $$2.436\times \frac{7}{100}$$
- step2: Convert the expressions:
  $$\frac{609}{250}\times \frac{7}{100}$$
- step3: Multiply the fractions:
  $$\frac{609\times 7}{250\times 100}$$
- step4: Multiply the terms:
  $$\frac{4263}{250\times 100}$$
- step5: Multiply the terms:
  $$\frac{4263}{25000}$$
Calculate or simplify the expression $$ 1.3 * (1 + 62.5 / 100) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1.3\left(1+\frac{62.5}{100}\right)$$
- step1: Divide the terms:
  $$1.3\left(1+\frac{5}{8}\right)$$
- step2: Add the numbers:
  $$1.3\times \frac{13}{8}$$
- step3: Convert the expressions:
  $$\frac{13}{10}\times \frac{13}{8}$$
- step4: Multiply the fractions:
  $$\frac{13\times 13}{10\times 8}$$
- step5: Multiply the terms:
  $$\frac{169}{10\times 8}$$
- step6: Multiply the terms:
  $$\frac{169}{80}$$
Calculate or simplify the expression $$ 2.276 * (1 - 50 / 100) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2.276\left(1-\frac{50}{100}\right)$$
- step1: Reduce the fraction:
  $$2.276\left(1-\frac{1}{2}\right)$$
- step2: Subtract the numbers:
  $$2.276\times \frac{1}{2}$$
- step3: Convert the expressions:
  $$\frac{569}{250}\times \frac{1}{2}$$
- step4: Multiply the fractions:
  $$\frac{569\times 1}{250\times 2}$$
- step5: Multiply the terms:
  $$\frac{569}{250\times 2}$$
- step6: Multiply the terms:
  $$\frac{569}{500}$$
Calculate or simplify the expression $$ 2.3 * (1 - 33.3333 / 100) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2.3\left(1-\frac{33.3333}{100}\right)$$
- step1: Divide the terms:
  $$2.3\left(1-\frac{333333}{1000000}\right)$$
- step2: Subtract the numbers:
  $$2.3\times \frac{666667}{1000000}$$
- step3: Convert the expressions:
  $$\frac{23}{10}\times \frac{666667}{1000000}$$
- step4: Multiply the fractions:
  $$\frac{23\times 666667}{10\times 1000000}$$
- step5: Multiply the terms:
  $$\frac{15333341}{10\times 1000000}$$
- step6: Multiply the terms:
  $$\frac{15333341}{10000000}$$
Let's break down the calculations step by step for each of the problems involving percentages.

1. **Calculating $$ 1.3 $$ increased by $$ 62 \frac{1}{2} \% $$**:
   - To find the new value, we calculate:
   $$
   1.3 \times \left(1 + \frac{62.5}{100}\right) = 1.3 \times 1.625 = 2.1125
   $$

2. **Calculating $$ 1.4245 $$ increased by $$ 120 \% $$**:
   - The calculation is:
   $$
   1.4245 \times \left(1 + \frac{120}{100}\right) = 1.4245 \times 2.2 = 3.1339
   $$

3. **Calculating $$ 2.276 $$ decreased by $$ 50 \% $$**:
   - The calculation is:
   $$
   2.276 \times \left(1 - \frac{50}{100}\right) = 2.276 \times 0.5 = 1.138
   $$

4. **Calculating $$ 2.3 $$ decreased by $$ 33 \frac{1}{3} \% $$**:
   - The calculation is:
   $$
   2.3 \times \left(1 - \frac{33.3333}{100}\right) = 2.3 \times 0.66667 \approx 1.5333341
   $$

5. **Calculating $$ 2.4360 $$ decreased by $$ 93 \% $$**:
   - The calculation is:
   $$
   2.4360 \times \left(1 - \frac{93}{100}\right) = 2.4360 \times 0.07 = 0.17052
   $$

### Summary of Results:
- $$ 1.3 $$ increased by $$ 62 \frac{1}{2} \% $$ is **2.1125**.
- $$ 1.4245 $$ increased by $$ 120 \% $$ is **3.1339**.
- $$ 2.276 $$ decreased by $$ 50 \% $$ is **1.138**.
- $$ 2.3 $$ decreased by $$ 33 \frac{1}{3} \% $$ is **1.5333341**.
- $$ 2.4360 $$ decreased by $$ 93 \% $$ is **0.17052**.
- $$ 1.3 $$ increased by $$ 62 \frac{1}{2} \% $$ is **2.1125**. - $$ 1.4245 $$ increased by $$ 120 \% $$ is **3.1339**. - $$ 2.276 $$ decreased by $$ 50 \% $$ is **1.138**. - $$ 2.3 $$ decreased by $$ 33 \frac{1}{3} \% $$ is **1.5333341**. - $$ 2.4360 $$ decreased by $$ 93 \% $$ is **0.17052**.

\( 1.3 \quad 160 \) is increased by \( 62 \frac{1}{2} \% \) 1.4245 is increased by \( 120 \% \) Calculate the amount if: 2.276 is decreased by \( 50 \% \) 2.3 120 is decreased by \( 33 \frac{1}{3} \% \) 2.4360 is decreased by \( 93 \% \) problems involving percentages

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