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2 years ago

I'm sorry but these are the multiple choice answers.

1 answer:

7 0

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array}&
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &200\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four quarters}
\end{array}\to &4\\

t=years\to &12
\end{cases}
\\\\\\
A=200\left[ \cfrac{\left( 1+\frac{0.07}{4} \right)^{4\cdot 12}-1}{\frac{0.07}{4}} \right]$

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Which statement is TRUE?

tatiyna

Answer:

B) A random sample may represent the population is your best answer.

Step-by-step explanation:

Note that the answer choice says "may", which means that it doesn't always represent the population. Random samples means that they ask random people, and do not have a certain rule that they have to follow (such as recipients can only be a certain race, age, etc.) and that they can ask anybody they meet. This can give not only a higher chance of a general population's opinion, but also makes sure that there is not a high chance of obtaining misleading information.

For example, a random survey would not take place at a rally, in which most of the people would believe the same thing, and would answer fairly the same for the survey. Instead, a random survey may be taken at a busy intersection during the time when most people are out. You must note that though it has the best chance of getting a more accurate representation, it still isn't the most accurate. For the best accuracy, everyone would have to answer the survey in which the survey question would affect.

6 0

2 years ago

Read 2 more answers

L 5.2.3 Quiz: Two-Variable Systems: Substitution

Misha Larkins [42]

Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

$y = 10x-9\\y = x + 18$

For substitution method we substitute the value of x or y from one equation to other.

Let:

$y = 10x-9--eq(1)\\y = x + 18--eq(2)$

Putting value of y from equation 2 into equation 1

$y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3$

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

$y=x+18\\x=y-18$

Now, putting value of x in equation 1

$y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21$

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

6 0

2 years ago

Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did

yan [13]

Avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km

15km/7.5= 2 hours of running time everyday

She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30

Joanna arrives back at 10:30a.m.

8 0

2 years ago

Read 2 more answers

1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m

LUCKY_DIMON [66]

Answer:

1.) $\sqrt{13.341}$ ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) $a^2 = b^2 + c^2 - 2bccosA$ --> law of cosines formula.

$a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)$ --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

$a^2 = 18 - 18cos75$ --> in between steps.

$a^2 = 13.341$ --> more simplifying.

$a(hypotenuse) = \sqrt{13.341} or 3.652$ --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

6 0

2 years ago

What is the degree of the monomial? a. 6x2 b. −x3y3 c. 7x

sergiy2304 [10]

Answer:

a. 2

b. 6

c. 1

Step-by-step explanation:

The degree is the highest exponent on the variable in an expression

a. 2

b. 6

Both x and y have exponents of 3. To determine the degree, add the exponents together. 3+3=6

c. 1

When no exponent is present on the variable, it is always 1.

5 0

2 years ago