Answer: About 73 years
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 = 2000
r = 5.5% = 5.5/100 = 0.055
n = 1 because it was compounded once in a year.
A = 100000
Therefore,.
100000 = 2000(1 + 0.055/1)^1 × t
100000/2000 = (1.055)^t
50 = 1.055^t
Taking log of both sides, it becomes
Log 50 = log 1.055^t
1.699 = t × log 1.055
1.699 = 0.0234t
t = 1.699/0.0234
t = 72.6
Approximately 73 years
Answer:
718,200 boxes
Step-by-step explanation:
Given the dimension of the storage space = 300ft×200ft×30ft
Dimension of each box = 20in×18in×12in
In order to determine the number of boxes Graphic DesignWorks is able to store, we will divide the Dimension of the storage space the dimension of the box.
Number of boxes = Dimension of storage space/dimension of boxes
We need to convert the dimension of boxes from inches to feet
1inch = 0.0833ft
20inches = 20×0.0833 = 1.666ft
18inches = 18×0.0833 = 1.499ft
12inches = 12×0.0833 = 0.9996ft
Number of boxes = 300×200×30/1.666×1.499×0.9996
Number of boxes = 1800000/2.496
Number of boxes = 721,153.85boxes
Based on the value, the best estimate that is close to the gotten value will be 718,200 boxes
Answer:
The answer will be -12 because you are multiplying 2x and -6
Answer:
f(x) = 4(x + 6)² – 134
Step-by-step explanation:
To write an equation in vertex form, we first factor out the GCF of the first two terms. For 4x² and 48x, this is 4:
f(x) = 4(x²+12x)+10
Next we complete the square. The value of b inside parentheses is 12; we take half of that and square it:
(12/2)² = 6² = 36
We add this inside parentheses. However in order to preserve equality, we must subtract this value as well. Since the terms inside parentheses are being multiplied by 4, we multiply the 36 we subtract by 4 as well:
f(x) = 4(x²+12x+36)-4(36)+10
Simplifying, we have
f(x) = 4(x²+12x+36)-144+10
Combining like terms,
f(x) = 4(x²+12x+36)-134
Next we write the trinomial in parentheses as a perfect square:
f(x) = 4(x+6)²-134
Answer:
20, 000
Step-by-step explanation:
For a duration of 50 years, the consumption will be equal to the product of annual consumption and the number of years hence 800*50=40, 000 barrels.
Since 20, 000 barrels are unknown and they are part if consumption in the next 50 years, then the known or proven reserves will be given by getting the difference between total consumption and unknown reserve, expressed as 40, 000-20, 000=20, 000 barrels.
