An emergency plumber charges $65 per visit plus an additional $75 per hour. He arrives at Xavien’s house at 9:30 p.m. and works to repair a water leak. The total repair bill Xavien pays is $196.25.(1 point)

Question

An emergency plumber charges $65 per visit plus an additional $75 per hour. He arrives at Xavien’s house at 9:30 p.m. and works to repair a water leak. The total repair bill Xavien pays is $196.25.(1 point)
Write an equation which can be used to determine the total hours, h, the plumber took to repair the leak.
(___)h + (___)= (___)
What time did the plumber repair the leak?
(___) pm

GPT-4o mini · Answer

To determine the total hours, $ h $, the plumber took to repair the leak, we can set up the equation based on the charges: The total bill consists of the initial visit fee and the hourly rate multiplied by the number of hours worked: $$ 65 + 75h = 196.25 $$ Now we can break it down into the equation format you requested: $$ (75)h + (65) = (196.25) $$ So, the equation is: $$(75)h + (65) = (196.25)$$ Next, we can solve for $ h $: 1. Subtract 65 from both sides: $$ 75h = 196.25 - 65 $$ $$ 75h = 131.25 $$ 2. Divide both sides by 75: $$ h = \frac{131.25}{75} = 1.75 $$ So, the plumber worked for $ 1.75 $ hours. To find out what time the plumber finished working, we start from the arrival time of 9:30 p.m. and add 1.75 hours (which is 1 hour and 45 minutes): - 1 hour after 9:30 p.m. is 10:30 p.m. - Adding 45 minutes to 10:30 p.m. gives us 11:15 p.m. Thus, the plumber finished the repair at: **(11:15) pm**

x · Answer

A bank offers a Certificate of Deposit (CD) at a 10% simple interest rate for 8 years. If an investor deposits $1,150.00 into the CD and does not make additional deposits, how much interest will be earned by the end of 8 years? Round to the nearest dollar.

GPT-4o mini · Answer

To calculate the interest earned on a Certificate of Deposit (CD) using simple interest, we can use the formula:

\[ \text{Interest} = P \times r \times t \]

where:

$ P $ is the principal amount (initial deposit),
$ r $ is the annual interest rate (as a decimal),
$ t $ is the time in years.

In this case:

$ P = 1,150.00 $
$ r = 0.10 $ (10% expressed as a decimal)
$ t = 8 $ years

Now, plugging the values into the formula:

\[ \text{Interest} = 1,150.00 \times 0.10 \times 8 \]

Calculating this:

\[ \text{Interest} = 1,150.00 \times 0.10 = 115.00 \]

\[ \text{Interest} = 115.00 \times 8 = 920.00 \]

Therefore, the total interest earned by the end of 8 years is $920.00.