6.23+ -12.49 -2.6= 6.23+ -12.49+ -2.6
-6.26+-2.6= -8.86
It would take just over 6 minutes assuming it takes him 2. 6 minutes to wax a single square inch somehow.
Answer:
2nd option will be the answer (y=4x²+48x+146)
Step-by-step explanation:
y=4(x+6)²+2
y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]
y=4(x²+12x+36)+2
y=4(x²)+4(12x)+4(36)+2
y=4x²+48x+144+2
y=4x²+48x+146
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077%
( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077%
)^780-1/0.08173077%
35000=weekly payment*(1.89125311
-1)/0.000817308
35000=weekly payment*0.89125311
/0.000817308
weekly payment=35,000*0.000817308
/0.89125311
weekly payment=$32.10
since we know the plumber charges $32 for one hour of work, if the plumber works
1 hour, that's 32(1)
2 hours........ 32(2)
3 hours.........32(3)
4hours...........32(4)
x hours...........32(x) => 32x.
the cost of materials is $46, so your total charge for getting the lizard out of the bathtub pipe is the hours rate plus the 46 bucks, namely 32x + 46, and incidentally we know that's $134.
![\bf 32x+46=134\implies 32x=88\implies x=\cfrac{88}{32}\implies x=\cfrac{11}{4} \\[2em] x=2\frac{3}{4}\impliedby \textit{2 hours and 45 minutes}](https://tex.z-dn.net/?f=%20%5Cbf%2032x%2B46%3D134%5Cimplies%2032x%3D88%5Cimplies%20x%3D%5Ccfrac%7B88%7D%7B32%7D%5Cimplies%20x%3D%5Ccfrac%7B11%7D%7B4%7D%20%5C%5C%5B2em%5D%20x%3D2%5Cfrac%7B3%7D%7B4%7D%5Cimpliedby%20%5Ctextit%7B2%20hours%20and%2045%20minutes%7D%20)
