Question

note: please make sure to properly format your answers. all dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). all percentage values in the answers need to include a percentage sign (%). for all items without specific rounding instructions, round your answers to two decimal places, show both decimal places ($0.00).
a local cable/internet/phone provider charges new customers $129 for all three services, per month, for the first year under their \3 for 129\ promotion. joanne normally pays $74 for her monthly home phone service, $59 for internet service, and $69 for cable television.
a. what are her percent savings if she switches to the \3 for 129\ plan? round to the nearest percent.
b. if, after the first year, the flat - fee for all three services is $139, what are her percent savings? round to the nearest percent.

Explanation:

Step1: Calculate normal monthly cost

First, find the sum of normal monthly costs for phone, internet and cable. $74 + 59+69 = 202$.

Step2: Calculate percent savings for first - year promotion

The formula for percent savings is $\text{Percent Savings}=\frac{\text{Normal Cost}-\text{Promotion Cost}}{\text{Normal Cost}}\times100\%$. Substitute the values: $\frac{202 - 129}{202}\times100\%=\frac{73}{202}\times100\%\approx 36.14\%$. Rounding to the nearest percent gives $36\%$.

Step3: Calculate percent savings after first - year

After the first - year, the cost is $139$. Using the percent - savings formula $\frac{202 - 139}{202}\times100\%=\frac{63}{202}\times100\%\approx 31.19\%$. Rounding to the nearest percent gives $31\%$.

Answer:

a. 36%
b. 31%