Answer:
Step-by-step explanation:
x= y+10
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2.5
Answer:
-5/-2 or 2.5
Step-by-step explanation:
Because you gave two points that I'm guessing are from the graph I think that's the answer. Because when you use the slope formula y2-y1 over x2 - x1 you get -5/-2 or you either get 2.5 meaning that is the slope specifically saying the rate of change. You get 2.5 when you divide -5/-2 incase you need a decimal or want to simplfy it.
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
The angles of a triangle add up to 180 degrees
180 - 80 = 100
Both of the unknown angles are the same. So...
100/2= 50
X = 50 degrees
Answer:the balance after 7 years is $3216
Step-by-step explanation:
A) Initial amount deposited into the account is $2800 This means that the principal,
P = 2800
It was compounded yearly. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
It was compounded for 7 years. So
t = 7
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 2800(1 + 0.04/2)^ 1× 7
A = 2800(1 + 0.02)^7
A = 2800(1.02)^7
A = $3216
