Answer:
7 hours
Step-by-step explanation:
12hrs=1116kms
1hr=1116÷12
1hr=93kms
Xhrs=651kms
Xhrs=(651÷93) ×1
=7×1
=7hrs
The averages for each category can be calculated by taking the sum of the values and dividing by the number of values .
Jan Feb March
1)
wages <span>$2,100.00 $2,300.00 $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
</span><span>2)
donations $210.00 $230.00 $200.00
</span><span>average = (210 + 230 + 200)/3
= $ 213.33
3)
mortgage $590.50 $590.50 $590.50
</span><span>average = ( 590.50 + 590.50 + 590.50)/3
= $ 590.50
4)
electricity $101.25 $89.75 $80.00
</span><span>average = (101.25 + 89.75 + 80.00)/3
= 271/3
= $ 90.33
5)
water $20.10 $22.30 $24.55
</span><span>average = (20.10 + 22.30 + 24.55)/3
= 66.95/3
= $ 22.32
6)
car loan $172.54 $172.54 $172.54
</span><span>average = (172.54 + 172.54 + 172.54)/3
= $ 172.54
7)
food $200.25 $220.70 $205.50
</span><span>average = (200.25 + 220.70 + 205.50)/3
= $ 208.82
8)
insurance $310.50 $0.00 $0.00
</span><span>average = ( 310.50 + 0.00 + 0.00)/3
= $ 103.50
9)
clothes $0.00 $0.00 $75.00
average = (0.00 + 0.00 + 75.00)/3
= $ 25.00
</span><span>10)
car license fee $0.00 $120.90 $0.00
average = (0.00 + 120.90 + 0.00)/3
= $ 40.30
</span><span>11)
newspaper $0.00 $0.00 $45.00
average = (0.00 + 0.00 + 45.00)/3
= $ 15.00
</span><span>12)</span><span>movies $18.00 $0.00 $36.00
average = (18 + 0.00 + 36.0)/3
= $ 18.00
</span><span>13)
new car $100.00 $100.00 $100.00
average = (100 + 100 + 100)/3
= $ 100.00
</span><span>14)
gasoline $80.00 $70.00 $75.00
average = (80.00 + 70.00 + 75.00)
= $ 75.00
</span><span>15)
car repairs $0.00 $119.00 $0.00
average = (0.00 + 119.0 + 0)/3
= $ 39.67
</span><span>16)
miscellaneous $64.50 $59.25 $72.50
average = (64.50 + 59.25 + 72.50)/3
= 196.25/3
= $ 65.42
</span><span>17)
savings $140.00 $140.00 $140.00
</span>average = ( 140 + 140 + 140)/3
= $ 140.00
Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)
![0.04(5200-y)+0.03y=194](https://tex.z-dn.net/?f=0.04%285200-y%29%2B0.03y%3D194)
![208-0.04y+0.03y=194](https://tex.z-dn.net/?f=208-0.04y%2B0.03y%3D194)
![0.01y=14](https://tex.z-dn.net/?f=0.01y%3D14)
![y=1400](https://tex.z-dn.net/?f=y%3D1400)
And x=5200-y
![x=5200-1400=3800](https://tex.z-dn.net/?f=x%3D5200-1400%3D3800)
Hence, money invested at 4% is $3800 and money invested at 3% is $1400
Answer:
44.52 inches
Step-by-step explanation:
If it grows 3.71 inches per month for 12 months, you need to multiply 3.71 by 12, which gives you 44.52.
To solve this problem you must apply the proccedure shown below:
You must switch the variables, and then, you must solve for
, as following:
![x=-\frac{1}{2} \sqrt{y} +3\\ (x-3)^{2} = (\frac{1}{2}\sqrt{y})^{2} \\ y=4x^{2} -24x+36\\ f^{-1} (x)=4x^{2} -24x+36](https://tex.z-dn.net/?f=%20x%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%7By%7D%20%2B3%5C%5C%20%28x-3%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7By%7D%29%5E%7B2%7D%20%20%20%5C%5C%20y%3D4x%5E%7B2%7D%20-24x%2B36%5C%5C%20f%5E%7B-1%7D%20%20%28x%29%3D4x%5E%7B2%7D%20-24x%2B36%20)
Therefore, as you can see, the answer is: ![f^{-1} (x)= 4x^{2} -24x+36 ](https://tex.z-dn.net/?f=%20f%5E%7B-1%7D%20%28x%29%3D%204x%5E%7B2%7D%20-24x%2B36%0A)