Answer:
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Answer:
x - 9 = 12
Step-by-step explanation:
We can use x as "a number"
So the equation so far is just "a number", or x.
Decreased by 9 can also be said as subtracted by 9, so that makes the equation x - 9.
"is 12" can also be said as equals 12, which makes the equation x - 9 = 12
In order to convert a fraction into a decimal, you can do one of two ways. I'll do the manual way, first since that's probably what your teacher would prefer.
First, find something that will multiply in the denominator that will equal 10,100,1000.
In this case, it will be 1,000.
1,000 ÷ 8 = 125.
So, you will multiply both the numerator and the denominator by 125.
3 x 1,000 = 375
8 x 125 = 1,000
Now, you have a BIG fraction of 375/1,000 but it's OKAY! Why? You're almost done.
Take your numerator of 375. Since your denominator has 3 zeros in it, you'll be moving your decimal 3 places to the right (from the imaginary decimal in front of the 3). So, we'll have 0.375.
So, your decimal of 3/8 is 0.375.
____________________________________________________
Now, for the easiest way!
You will simply divide 3 ÷ 8 = 0.375
Answer:
Therefore the value of bond will triple after 17.72 years.
Step-by-step explanation:
The formula of Compounded continuously
A= Amount after t year
P= initial amount
r = rate of interest
t= time in year.
Given that,
Jacobs college saving are invested in bond that pay 6.2% compounded continuously.
Let after t years the initial amount P will be triple i.e 3P.
Here P=P, A=3P, r= 6.2%=0.062
[ Multiply 
both sides]
Taking ln both sides
[ since 
]
years
Therefore the value of bond will triple after 17.72 years.
Answer:
angle DGE= 24 Degree
arc GF= 146degree
Step-by-step explanation:
angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree
arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so
angle DGE =24 degree &
ARC GF=146 degree
