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3 years ago

Find the simple interest for a loan of $2,000 with an interest rate of 11.5% for a period of 2 years

Mathematics

2 answers:

miss Akunina [59]3 years ago

6 0

Answer:

The interest is $460.00

Step-by-step explanation:

You want to calculate the interest on $2000 at 11.5% interest per year after 2 years.

the simple interest formula is:

Interest= Principal amount x interest rate x time

To find the simple interest you multiply 2000 x 0.115 x 2

Kazeer [188]3 years ago

5 0

Idk because it’s too confusing

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Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu

san4es73 [151]

Answer:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀ = 37 % P₀ = 0,37

sample size = n = 100

P sample proportion = P = 47 % P = 0,47

confidence interval 95 %

α = 0,05

One tail-test (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀ null hypothesis P₀ = 0,37

Hₐ alternative hypothesis P₀ > 0,37

2.-Confidence interval 95 %

α = 0,05 and z(c) = 1.64

3.-Compute of z(s)

z(s) = [ P - P₀ ] /√(P₀Q₀/n) ]

z(s) = [ ( 0,47 - 0,37 ) / √0.37*0,63/100

z(s) = 0,1 /√0,2331/100 ⇒ z(s) = 0,1 /0,048

z(s) = 2.08

4.-Compare z(s) and z(c)

z(s) > z(c) 2.08 > 1.64

5.-Decision:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0

3 years ago

How do you know when to add numbers? what is the sign rule

VARVARA [1.3K]

The most familiar case is that where you see a " + " sign between two numbers; that's an indication to add the two numbers (or terms) together.

Also, the instruction, "sum up the following," is a command to find the sum of all the numbers that follow.

8 0

3 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

Now we have everything in order to replace into formula (1):

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0

3 years ago

if 22000 pots with 15 seeds each are used in a nursery, how many total seeds, in scientific notation?

kipiarov [429]

Write the total number of seeds in scientific notation

Given:

Number of pots = 22,000

Number of seeds = 15

<em>Total number of seeds = Number of pots × Number of seeds</em>

= 22,000 × 15

= 330,000

Scientific notation is written in multiples of 10

Count the number of digits
Insert a decimal point between the first digit and other digits
count the number of digits after the first digits
multiply by 10 raise to the power of number of remaining digits after first digits

= 3.30000 × 10^5

Therefore,

the total number of seeds in

scientific notation is 3.30000 × 10^5

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2 years ago

Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finishe

BartSMP [9]

The correct answer is A

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2 years ago