Answer: it will take 7 years for the value of the account to reach $49,300
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 = $41000
A = $49300
r = 2.6% = 2.6/100 = 0.026
n = 12 because it was compounded 12 times in a year.
Therefore,
49300 = 41000(1 + 0.026/12)^12 × t
49300/41000 = (1 + 0.0022)^12t
1.2024 = (1.0022)^12t
Taking log of both sides of the equation, it becomes
Log 1.2024 = 12t × log 1.0022
0.08 = 12 × 0.00095 = 0.0114t
t = 0.08/0.0114
t = 7 years
Answer:
(-8,5)
Step-by-step explanation:
its what comes in between the two
Answer:
A. 83
Step-by-step explanation:
I hope this helps :)
<h3>
Answer: n = -11</h3>
The other choices are false, so choice C is the only solution here.
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Explanation:
Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.
The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...
See the diagram below.
Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.
With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.
The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.
Answer:
your slope will be -1
Step-by-step explanation:
if you do y-y and x-x you then divide those answers and you will end up with m=-1