Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc EH
Remember that the measure of the complete circle is equal to 360 degrees
so
Remember that
----> by central angle
----> by central angle
---> by central angle
substitute the given values
step 2
Which arc is congruent to Arc E H?
we know that
therefore
arc EH is congruent with arc EFG
or
arc EH is congruent with minor arc GE
Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2
Answer:
It is a simple interest account
Step-by-step explanation:
As we might see from the given earnings, the amount of money he earned each year is the same as in the previous year. This means that the amount of money is growing linearly instead of exponentialy. This is characteristic to a simple interest account, which is found by using the formula:
I=Prt
where I = interest earned.
P = principal
r = Interest rate
t = time in years,
if we use this formula to calculate the amount of money earned after t years, we can see it will be the same as the values reported:
I=$300(0.02/year)(1year)=$6
I=$300(0.02/year)(2years)=$12
I=$300(0.02/year)(3years)=$18
So this simple interest account.
If Olivia wants to prevent interest capitalization, she must pay the accrued interest each month. That amount is
... I = Prt = $13,100×0.076×(1/12) = $82.97
Over 4 years (48 months), these payments total $82.97×48 = $3982.56.
_____
If no payments are made, the loan balance grows by the multiplier (1 +r/12) each month. Then the amount of interest that will be capitalized at the end of 48 months is ...
... $13,100×((1 +0.076/12)^48 -1) = $4637.01
The difference in these amounts is ...
... $4637.01 -3982.56 = $654.45 . . . . . matches selection a.
Answer:
30,058 spectator
Explanation:
The total number of spectators is equal to the sum of West Stanford's and North Storm's supporters.
We are given that:
Total number of spectators = <span>71,167 spectator
North Storm spectators = </span><span>41,109 spectator
So, to get the number of West Stanford spectators, all we have to do is subtract North Storm spectators from the total spectators as follows:
West Stanford spectators = </span>71,167 - 41,109 = 30,058 spectator
Hope this helps :)
