2x + 9<br> 8x + 1<br> Solve for x

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. A car repair center services 920 cars in 2012. Th

OverLord2011 [107]

Answer:

N = 920(1+0.03)^4t

Step-by-step explanation:

According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.

Rate is 12 % annually

rate in quarterly = 12/4= 3%

We will apply the compound interest equation:

N=P( 1+r/n)^nt

N= ending number of cars serviced.

P= the number of cars serviced in 2012,

r = interest rate

n = the number of compoundings per year

t= total number of years.

Number of compoundings for t years = n*t = 4t

Initial number of cars serviced=920

The quarterly rate of growth = n=4

r = 3%

The growth rate = 1.03

Compound period multiplied by number of years = 920(1.03)^4t

Thus N = 920(1+0.03)^4t

N = number of cars serviced after t years...

5 0

3 years ago

What are the answer to these questions:

Tomtit [17]

1. 40/60 + 15/60 + 24/60 + 10/60 = 1.48

2.30/60 + 20/60 + 15/60 + 12/60 + 10/60 = 1.45

3 0

3 years ago

Can someone please tell me the answer and explain how to do this, no links please thank you

avanturin [10]

<h2>If this is work out the gradient then here:</h2>

Step-by-step explanation:

3-0= 3

2-(-2)= 4

3/4= 0.75

<h3>Equation of a gradient is </h3><h2> $\frac{y^2-y^1}{x^2-x^1}$ </h2>

7 0

3 years ago

For the function Y=5x, what would happen if the value 5 was changed to 3

Daniel [21]

Answer:

y = 3 * x

Step-by-step explanation:

We have the function y = 5 * x, they ask us what would happen if we change the 5 by the 3. thus:

y = 3 * x

the constant that accompanies x in this case is an increase or slope constant, that is, now x will not increase by a ratio of 5, but by a ratio of 3. For example:

If x were worth 10

the value before was 50 and now it will be 30.

I do not increase 5 times but 3 times.

4 0

4 years ago

Laser scanning for fish volume estimation. engineers design tanks for rearing commercial fish to minimize both the use of natura

AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

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".

$\bar X=240$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size

Part a

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:

$df=n-1=4-1=3$

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(0.005,3)".And we see that $t_{\alpha/2}=5.84$