In timra’s math class, there are 12 boys and 15 girls. What is the ratio of boys to girls in timra’s math class

Calculate the future value of $51,123.21, earning interest at a rate of that is compounded daily for 20 years and 2 months (use

mina [271]

The compound interest formula is : $A = P(1+ \frac{r}{n})^n ^t$

where, A= Future value including the interest,

P= Principle amount, r= rate of interest in decimal form,

t= number of years and n= number of compounding in a year

Here, in this problem P= $ 51,123.21 , t= 20 years and 2 months

So, t= 20 + (2/12) years

t= 20 + 0.17 = 20.17 years

As the amount is compounded daily, so n= (12×30)= 360 [Using the traditional Banker’s rule of 30 days per month]

Thus, $A = 51,123.21( 1+ \frac{r}{360})^3^6^0^*^2^0^.^1^7$

$A= 51,123.21 (1+\frac{r}{360})^7^2^6^1^.^2$

When the interest rate is given, then we can use this equation for finding the future value.

3 0

3 years ago

Solve for x: 10x – 3 + x < 30

Gala2k [10]

Answer:

The correct answer would be the last one; x < 3.

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

11x - 3 < 30

Step 2: Add 3 to both sides.

11x - 3 + 3 < 30 + 3

11x < 33

Step 3L Divide both sides by 11.

11x/11 < 33/11

Therefor, the correct answer would be the last one: x < 3

Hope this helps!

7 0

3 years ago

Read 2 more answers

Could 8.8cm, 8.0cm, and 8.8cm be the side lengths of a triangle? Yes or no?

Ne4ueva [31]

Answer:

yes it could be

Step-by-step explanation:

the sum of any two sides needs to be greater than the value of the third, 8.8 +8.8 is greater than 8.0, 8.8 + 8.0 is greater than 8.8

4 0

3 years ago

Suppose 60% of American adults believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading.

Ierofanga [76]

Answer:

Since the sample size is large enough (n>30) and the probability of success is near to 0.5, and we have that $n\hat p = 60>10$ and $n(1-\hat p) = 40>10$ we can assume that the distribution for $\hat p$ is normal

The population proportion have the following distribution

$\hat p \sim N(\hat p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The mean is given by:

$\mu_p = 0.6$

$\sigma_p = \sqrt{\frac{0.6*(1-0.6)}{100}}=0.04899$

So then we can conclude that the best answer would be:

c. approximately Normal, with mean 0.6 and standard error 0.04899

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".

$p$ represent the real population proportion of interest

$\hat p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

Solution to the problem

Since the sample size is large enough (n>30) and the probability of success is near to 0.5, and we have that $n\hat p = 60>10$ and $n(1-\hat p) = 40>10$ we can assume that the distribution for $\hat p$ is normal

The population proportion have the following distribution

$\hat p \sim N(\hat p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The mean is given by:

$\mu_p = 0.6$

$\sigma_p = \sqrt{\frac{0.6*(1-0.6)}{100}}=0.04899$

So then we can conclude that the best answer would be:

c. approximately Normal, with mean 0.6 and standard error 0.04899

8 0

3 years ago

A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum ar

klio [65]

Answer:

256 square feet 16+16+16+16

Step-by-step explanation:

You only need to divide the fence into 3 not into 4 since one side is already there ( the side of a barn)

48/3 = 16 (side)

Area:16*16 = 256

8 0

3 years ago