<h3>
Answer: 542.5</h3>
This is equivalent to the fraction 1085/2
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Explanation:
AP stands for "arithmetic progression", which is another name for "arithmetic sequence"
a1 = -10 is the first term
the 15th term happens when n = 15, so
an = a1 + d*(n-1)
a15 = -10 + d(15-1)
a15 = 14d-10
Set this equal to 11 (the stated 15th term) and solve for d
a15 = 11
14d-10 = 11
14d = 11+10
14d = 21
d = 21/14
d = 3/2
d = 1.5 is the common difference
Let's find the nth term
an = a1 + d(n-1)
an = -10 + 1.5(n-1)
an = -10 + 1.5n - 1.5
an = 1.5n - 11.5
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The last term is 41, so we'll replace the 'an' with that and solve for n
an = 1.5n - 11.5
41 = 1.5n - 11.5
41+11.5 = 1.5n
52.5 = 1.5n
1.5n = 52.5
n = (52.5)/(1.5)
n = 35
So the 35th term is 41.
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We're summing n = 35 terms from a1 = -10 to an = 41
S = sum of the first n terms of arithmetic progression
S = (n/2)*(a1 + an)
S = (35/2)*(-10+41)
S = 542.5
The 35 terms add up to 542.5 which is the final answer
As an improper fraction, this converts to 1085/2
Answer: you have to deposit $15625 today
Step-by-step explanation:
Assuming the interest is compounded annually. We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $20000
r = 4.2% = 4.2/100 = 0.042
n = 1 because it was compounded once in a year.
t = 6 years
Therefore,.
20000 = P(1 + 0.042/1)^1 × 6
20000 = P(1.042)^6
20000 = 1.28P
P = 20000/1.28
P = $15625
Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
<h2>MARK ME AS BRAINLIST </h2>
The answer to this equality when you factor it is (2x-1)(x+2)(x-6)
9514 1404 393
Answer:
(c) 144 m²
Step-by-step explanation:
The surface area can be calculated from ...
SA = 2(LW +H(L+W))
SA = 2((6 m)(6 m) +(3 m)(6 m +6 m))
= 2(36 m² +(3 m)(12 m)) = 2(36 m² +36 m²) = 2(72 m²)
SA = 144 m²
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<em>Additional comment</em>
The units of area are square meters (m²). The units of volume are cubic meters (m³).
