Step 2
because she should substitute the negative sign to 6
Answer:
1. D
2. D
Step-by-step explanation:
Answer:
236x
Step-by-step explanation:
Product means multiply.
In math, we always write the number first, which is called the coefficient.
So 236x.
Compound interest
Generally
A=P(1+r/n)^nt
Where
P = principal amount
r = annual rate of interest
t = number of years
A = amount of money after year t
n = number of times the interest is compounding per year.
In this case the, the n=12, since the APR is compounding monthly.
Also R=4%=4/100=0.04
t=5years
Adella wants her money to amount to $10,000 in 5 years
Then, A=$10,000
Applying the formulas
A=P(1+r/n)^nt
$10,000=P(1+0.04/12)^(12×5)
$10,000=P(1+0.003333)^60
$10,000=P(1.003333)^60
$10,000=P(1.221)
Then P=$10,000/1.221
P=$8190.008
The correct answer is the third option
It is closer to the third option than it is to the second option
Using an exponential function, it is found that the decay rate is of 6.24% a year.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.
![\sqrt[10.75]{(1 - r)^{10.75}} = \sqrt[10.75]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B10.75%5D%7B%281%20-%20r%29%5E%7B10.75%7D%7D%20%3D%20%5Csqrt%5B10.75%5D%7B0.5%7D)
1 - r = 0.9376.
r = 1 - 0.9376.
r = 0.0624.
The decay rate is of 6.24% a year.
More can be learned about exponential functions at brainly.com/question/25537936
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