Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5
Function rule: a = 20w + 115
Slope: 20
Initial value: 115
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We start with $115 in the account. This is the initial value. Each week we add on $20.
So we add $20 for 1 week
We add 2*20 = $40 for 2 weeks
We add 3*20 = $60 for 3 weeks
etc etc
In general, we add 20*w dollars for w weeks onto 115 to get a = 20w+115
The slope is 20 because this is the rate of change, ie how fast the account grows. It grows 20 dollars per week.
Answer:
x=5 and x=1
Step-by-step explanation:
3 |-3x + 9| = -18
/3 /3
|-3x + 9| = -6
-3x + 9 = -6 -3x + 9 = 6
-9 -9 -9 -9
-3x = -15 -3x = -3
/-3 /-3 /-3 /-3
x = 5 and x = 1
It’s 130°, because 50+50=100 and 2x is equal to the same angel on the direct opposite side so work where you have 50. then the 4 angles should add to 360° and 360-100= 260, then you have to divide 260 by 2 because it has to be equal to both side so then 260/2=130° and to know that it’s correct add 130+130+50+50 and you get 360°!
Answer:
<em>It will take 14 years before the investment triples</em>
Step-by-step explanation:
<u>Continuous Compounding</u>
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
Dividing by PV:
Taking logarithms:
Solving for t:
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
