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pantera1 [17]
2 years ago
9

brian borrowed $12,500 from the bank at an annual simple interest of 6.5%. if he repaid the loan in five years, how much did he

pay back
Mathematics
1 answer:
Lostsunrise [7]2 years ago
3 0

Answer:

$16562.50

Step-by-step explanation:

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What is 12,430,000 in expanded form?
Nady [450]
10,000,000+2,000,000+400,000+30,000
3 0
3 years ago
Prove that an = 4^n + 2(-1)^nis the solution to
olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

4 0
3 years ago
A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th
aksik [14]

Answer:

At least 547 records need to be studied.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

And the margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

In this problem, we have that:

M = 0.04, p = 0.35

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.04\sqrt{n} = 0.93486

\sqrt{n} = 23.37

n = 546.2275

At least 547 records need to be studied.

6 0
3 years ago
Can someone help me out please?
frozen [14]

Answer:

c is the answer

Step-by-step explanation:

6 0
3 years ago
The price of a cup of coffee has dropped to $2.10 today. Yesterday's price was $2.35 . Find the percentage decrease. Round your
Lady bird [3.3K]
Percent increase/decrease is: (Change/original amount)x100 (.25/2.35)x100= 10.6%
6 0
3 years ago
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