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Ilya [14]
3 years ago
9

Find the amount of each payment necessary to amortize the following loan.

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0
Use the formula of the present value of annuity ordinary
The formula is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 84700
Pmt payment per quarter ?
R interest rate 0.10
K compounded quarterly 4
N time 9 years
We need to solve for pmt
Pmt=pv÷ [(1-(1+r/k)^(-kn))÷(r/k)]
Pmt=84,700÷((1−(1+0.10÷4)^(−4
×9))÷(0.10÷4))=3,595.65

Hope it helps
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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

5 0
3 years ago
Highest place value for 54
zvonat [6]

Answer:

tens=5

Step-by-step explanation:

4 0
3 years ago
Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The sta
Nonamiya [84]

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the <em>standard deviation</em> for the population, which is why the <em>z-distribution </em>is used to solve this question.

The information given is:

  • Sample mean of \overline{x} = 146.
  • Population standard deviation of \sigma = 12.
  • Sample size of n = 65.

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The critical value, using a z-distribution calculator, for a <u>95% confidence interval</u> is z = 1.645, hence:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143

\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at brainly.com/question/16807970

8 0
2 years ago
Simplify to standard form<br> (2x +4) + (-7 – 3b) + (5 – 8x)
docker41 [41]

Answer:

−3b−6x+2

Step-by-step explanation:

2x+4−7−3b+5−8x

=2x+4+−7+−3b+5+−8x

Combine Like Terms:

=2x+4+−7+−3b+5+−8x

=(−3b)+(2x+−8x)+(4+−7+5)

=−3b+−6x+2

8 0
3 years ago
Solve for r in the formula S = L - rL.
strojnjashka [21]
Subtract L from both sides
S - L = L - L -rL
S - L = -rL
divide both sides by L
S - L/L = -rL/L
-r = S - L/L
divide both sides by -1
r = -S + L/L
4 0
3 years ago
Read 2 more answers
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