item 10\ntyrone buys office supplies for his home business. the office supplies cost $175.79 before tax. the…

item 10\ntyrone buys office supplies for his home business. the office supplies cost $175.79 before tax. the sales tax rate is 8.25%. how much sales tax does tyrone pay for the office supplies rounded to the nearest cent?\nenter the correct answer in the box.\n\nitem 11\nms. ling purchases a new car for $32,000 and finances it with a 6 - year simple interest loan at an annual rate of 4.25%. what are ms. lings monthly car payments rounded to the nearest cent?\nenter the correct answer in the box.\n\nitem 12\njanella is having her hair styled and wants to tip her stylist 18%. write an equation that janella can use to calculate the tip, y, if her total bill is x dollars.\nenter the correct equation in the box.
Answer
Item 10
Explanation:
Step1: Convert percentage to decimal
$8.25%=0.0825$
Step2: Calculate sales - tax amount
$175.79\times0.0825 = 14.502675$
Step3: Round to nearest cent
Rounding $14.502675$ to the nearest cent gives $14.50$
Answer:
$14.50$
Item 11
Explanation:
Step1: Calculate simple - interest
The simple - interest formula is $I = Prt$, where $P=$32000$, $r = 0.0425$ (since $4.25%=0.0425$), and $t = 6$ years. $I=32000\times0.0425\times6=32000\times0.255 = 8160$
Step2: Calculate total amount to be repaid
The total amount $A$ is the sum of the principal and the interest, so $A=P + I=32000 + 8160=40160$
Step3: Calculate monthly payment
There are $6\times12 = 72$ months in 6 years. The monthly payment $M$ is $M=\frac{A}{72}=\frac{40160}{72}\approx557.78$
Answer:
$557.78$
Item 12
Explanation:
The tip amount $y$ is a percentage of the total bill $x$. Since the tip percentage is $18%$ or $0.18$ in decimal form, the equation for the tip is $y = 0.18x$
Answer:
$y = 0.18x$