Answer: it will take 36 years for the account balance to reach $1,200.
Step-by-step explanation:
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,
P = 70
A = 1200
r = 1.5% = 1.5/100 = 0.015
n = 1 because it was compounded once in a year.
Therefore,.
1200 = 700(1 + 0.015/1)^1 × t
1200/700 = (1.015)^t
1.714 = 1.015^t
Taking log of both sides,
Log 1.714 = log 1.015^t
0.234 = tlog 1.015 = t × 0.0065
t = 0.234/0.0065
t = 36 years
Robert is incorrect: Surface are of A is 30 + 30 + 42 + 42 + 35 + 35 = 214 square centimeters. Surface area of B is 120 + 120 + 168 + 168 + 140 + 140 = 856 square centimeters. B's surface area is 4 times as great as A's.
<h3>
Answer: 24</h3>
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Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
The standard deviation of the set is 5.2
To find standard deviation, we take the square root of the variance.
2,3,5! 1 is NOT a prime number!