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DedPeter [7]
1 year ago
15

An urban planner had a taxable income of $52,950 last year. if he paid 10% of his income between $0 and $8350, 15% of his income

between $8350 and $33,950, and 25% of his income between $33,950 and $52,950 in federal income tax, how much did the urban planner pay in federal income tax last year?
Mathematics
1 answer:
Gnom [1K]1 year ago
6 0

Add up the products of tax rate and applicable amount

10%×$8350 + 15%×(33950 -8350) + 25%×(52950 -33950)

= $835 + 3,840 + 4,750

= $9425


The planner paid $9,425 in taxes last year.

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The constant-pressure specific heat of air at 25°C is 1.005 kJ/kg. °C. Express this value in kJ/kg.K, J/g.°C, kcal/ kg. °C, and
Mice21 [21]

Answer:

In kJ/kg.K - 1.005  kJ/kg degrees Kalvin.

In  J/g.°C  -  1.005 J/g °C

In kcal/ kg °C  0.240 kcal/kg °C

In Btu/lbm-°F   0.240 Btu/lbm degree F

Step-by-step explanation:

given data:

specific heat of air = 1.005 kJ/kg °C

In kJ/kg.K

1.005 kJ./kg °C = 1.005 kJ/kg degrees Kelvin.

In  J/g.°C

1.005 kJ./kg °C \times 1000/1kJ \times (1kg/1000 g) = 1.005J/g °C

In kcal/ kg °C

1.005 kJ./kg °C \times \frac{1 kcal}{4.190 kJ} = 0.240 kcal/kg °C

For   kJ/kg. °C to Btu/lbm-°F  

Need to convert by taking following conversion ,From kJ to Btu, from kg to lbm and from degrees C to F.

1.005 kJ./kg °C \times \frac{1 Btu}{1.055 kJ} \times \frac{0.453 kg}{1 lbm} \times \frac{5/9 degree C}{1 degree F} = 0.240 Btu/ lbm / degree F

1.005 kJ/kg C =  0.240 Btu/lbm degree F

8 0
2 years ago
If m < apd =109 and m <1=17 then m<bpd=
just olya [345]

m < bpd = 349
4 0
1 year ago
It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full
Nastasia [14]
It takes Mercury <span>approximately 58 days, 15 h, and 30 min to complete a full rotation..

We are going to write the time not in days, hours and minutes, but only hours.

This means that we have to write 58 days as hours and 30 minutes as hours.



1 day is 24 hours, so 58 days are

58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32

=1,200+192=1,392  (hours)


60 minutes are 1 hour, so 30 minutes are 0.5 hours.



Thus


</span>58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours



Answer: 1,407.5 hours
6 0
2 years ago
A lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long what is the area of the plywood?
Sholpan [36]

Answer:

978\frac{1}{2}\text{ inches}^2.

Step-by-step explanation:

We have been given that a lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long.

Since plywood is in shape of rectangle, so to find the area of plywood we will multiply the length of plywood by its width.

\text{Area of rectangle}=\text{Length*Width}

\text{Area of plywood}=23\frac{3}{4}\text{ inches}\times 41\frac{1}{5}\text{ inches}

Let us convert our mixed fractions into improper fractions.

\text{Area of plywood}=\frac{95}{4}\text{ inches}\times \frac{206}{5}\text{ inches}

\text{Area of plywood}=\frac{95}{4}\times \frac{206}{5}\text{ inches}\times \text{inches}

Upon cancelling out greatest common factors we will get,

\text{Area of plywood}=\frac{19}{2}\times 103\text{ inches}^2

\text{Area of plywood}=\frac{1957}{2}\text{ inches}^2  

Now let us convert our answer into mixed fraction.

\text{Area of plywood}=978\frac{1}{2}\text{ inches}^2  

Therefore, the area of plywood is 978\frac{1}{2}\text{ inches}^2.

8 0
2 years ago
A building has an entry the shape of a parabolic arch 74 ft high and 28 ft wide at the base as shown below.
sergiy2304 [10]
The equation of a parabola with vertex at (h,k) is 
y=a(x-h)²+k

vertex isi at (0,0)

y=a(x-0)²+0
y=a(x)²
y=ax²
find a

we see that one point is (14,-74)
x=14 and y=-74

-74=a(14²)
-74=196a
divide both sides by 196
-37/98=a

the equation is 

y= \frac{-37}{98} x^2




6 0
2 years ago
Read 2 more answers
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