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Ksivusya [100]
3 years ago
7

after 6 years what is the total anount of a compound intrest investment of $35,000 at 4% intrest compound quarterly

Mathematics
1 answer:
tangare [24]3 years ago
3 0
The pertinent formula is    A = P (1 + r/n )^(nt), where
P is the original amount of money (Principal),
A is the compound amount,
r is the annual interest rate, expressed as a decimal fraction, 
n is the # of compounding periods per year, and 
t is the # of years.

Here,   A = $35000 ( 1 + 0.04/4)^(4*6)
                = $35000 (1.01)^24
                = $35000 (1.2697) =    $44440.71
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In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were o
ad-work [718]

The question is incomplete. Here is the complete qeustion.

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.10 0.13 0.16 0.15 0.14 0.008 0.15

(a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars.

(b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a), can we safely conclude that this requirement is being met?

Answer: (a) 0.089 ≤ μ ≤ 0.171

(b) No

Step-by-step explanation:

(a) To determine the confidence interval, first calculate the mean (X) and standard deviation (s) of the sample

X = \frac{0.1+0.13+0.16+0.15+0.14+0.08+0.15}{7}

X = 0.13

s = \sqrt{\frac{(0.1-0.13)^{2} + (0.13 - 0.13)^{2} + ... + (0.15 - 0.13)^{2}}{7-1} }

s = 0.029

The degrees of freedom is

N - 1 = 7 - 1 = 6

And since the confidence is of 99%:

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The t-test statistics for t_{6,0.005} is 3.707

(Value found in the t-distribution table)

Now, calculate Error:

E = t_{6,0.005} . \frac{s}{\sqrt{N} }

E = 3.707. \frac{0.029}{\sqrt{7} }

E = 0.041

The interval will be:  

0.13 - 0.041 ≤ μ ≤ 0.13+0.041

0.089 ≤ μ ≤ 0.171

(b) No, because according to the interval, the nitrode-oxide emissions range from 0.089 to 0.171, which is greater than required by EPA.

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3 years ago
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masha68 [24]

Answer:

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Step-by-step explanation:

5 0
2 years ago
13-(-6) helpppp meee
german

Answer:

19

Step-by-step explanation:

<u>Step 1:  Solve</u>

13 - (-6)

13 + 6

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4 0
2 years ago
For real answers 25 pts and a mark!! Help please!!Suppose that there are two types of tickets to a show: advance and same-day. A
Diano4ka-milaya [45]

Answer: 35 advance, 30 same day

Step-by-step explanation:

$35 * A + $15 * S = $1675

A + S = 65 So. A = 65 - S

Plug in for A:

35(65-S) + 15S = 1675

2275 - 35S + 15S = 1675

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3 years ago
A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling
vfiekz [6]

Answer:

Probability of rolling a number greater than 2 = 5/6

Step-by-step explanation:

Given:

Number;

1,2,3,4,5,6,7,8,9,10,11,12

Find:

Probability of rolling a number greater than 2

Computation:

Number greater than 2 = 10

Probability of rolling a number greater than 2 = Number greater than 2 / Total number

Probability of rolling a number greater than 2 = 10 /12

Probability of rolling a number greater than 2 = 5/6

3 0
2 years ago
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