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lys-0071 [83]
2 years ago
14

Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 *

24 * 365 24 * 60 * 100 * 7 * 52 1000 * 60 * 24 * 7 * 52?
Mathematics
1 answer:
Tom [10]2 years ago
4 0
Use the following abbreviations:
y = year,
d = day,
h = hour,
min = minute,
s = second,
ms = millisecond.

Then
1 \, y = (1 \, y)*(365 \,  \frac{d}{y} )*(24 \,  \frac{h}{d} )*(60 \,  \frac{min}{h} )*(60 \,  \frac{s}{min} )*(1000 \,  \frac{ms}{s} )

Therefore, the correct calculation is
1000 * 60 * 60 * 24 * 365

Answer: 1000 * 60 * 60 * 24 * 365

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How do I simplify (tanx/1+secx) + (1+secx/tanx)
Ket [755]
Tan x /(1 +sec x) + (1+sec x) /tan x

Tan x=sin x / cos x
1+ sec x=1 +1/cos x=(cos x+1)/cos x

Therefore:
tan x /(1 +sec x) =(sin x/cos x)/(cos x+1)/cos x=
=(sin x * cos x) / [cos x* (cos x+1)]=sin x /(Cos x+1)

(1+sec x) /tan x=[(cos x+1)/cos x] / (sin x/cos x)=
=[cos x(cos x+1)]/(sin x *cos x)=(cos x+1)/sin x

tan x /(1 +sec x) + (1+sec x) /tan x=
=sin x /(Cos x+1) + (cos x+1)/sin x=
=(sin²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=

Remember: sin²x+cos²x=1⇒ sin²x=1-cos²x

=(1-cos²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=
=2 cos x+2 /  [sin x(cos x+1)]=
=2(cos x+1) /  [sin x(cos x+1)]=
=2 /sin x

Answer : tan x /(1 +sec x) + (1+sec x) /tan x= 2/sin x
8 0
3 years ago
I need a word problem using identity property of addition.
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Complete the statements.
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Read 2 more answers
Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the
Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

20% of 175000 is = 0.2\times175000 = $35000

Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

975.63\times12\times30=351226.80 dollars

5 0
3 years ago
A store is having a sale. You want a pair of jeans that are $90 and a shirt for $50. They are both on sale for 40% off. The tax
gavmur [86]

Answer: 59.92

Step-by-step explanation:

90 + 50 = 140

140 - 40% = 56

56 + 7% = 59.92

6 0
3 years ago
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