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Answer:
x = 30°
Step-by-step explanation:
The arcsin (inverse sine) function can be used. Be sure to set your calculator to degrees mode.
sin(x) = 1/2
arcsin(sin(x)) = arcsin(1/2)
x = arcsin(1/2)
x = 30°
Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
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Answer:
The maximum number of text message John can send is 100
Step-by-step explanation:
Given as :
The phone bill of the John = $ 10 per month + $ 0.3 per text message
John want his bill amount to be less than $ 40
Let The maximum number of text message John can send = n
According to question
The total bill amount = The cost of phone plan + rate of text message
I.e $ 10 per month + $ 0.3 × maximum number of text message = $ 40
or, $ 0.3 × n = $ 40 - $ 10
Or, $ 0.3 × n = $ 30
∴ n = 
I.e n = 100
So, The maximum number of text message John can send = n = 100
Hence The maximum number of text message John can send is 100 Answer