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KATRIN_1 [288]
2 years ago
13

A bookstore sells textbooks for $70 each and notebooks for $5 each. The bookstore would like to sell $805 in merchandise by the

end of the week.
Enter a linear equation that describes the problem.

An equation for the value of the merchandise sold is = $805, where t is the number of te
Mathematics
1 answer:
irina [24]2 years ago
4 0

Answer:

70x + 5y = 805

Step-by-step explanation:

Textbooks = X

Notebooks = Y

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Find out how long it takes a ​$ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use
BabaBlast [244]

Answer:

(A) 8.8 years

Step-by-step explanation:

Given that the principal amount = $ 3100

Rate of compound interest = 8% compounded semiannually.

The given formula is

A=P\left(1+\frac{r}{n}\right)^{nt}

Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.

From the given condition,

P=$3100

r= 8%=0.08 compounded semiannually

n=2

A=2 x 3100=$ 6200.

Put all these in the given formula to get the required time, we have

6200=3100\left(1+\frac{0.08}{2}\right)^{2t}

\Rightarrow \left(1+0.04\right)^{2t}=6200/3100

\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\

On rounding to the nearest tenth of a year, t=8.8 years.

So, the invested amount will be double in  8.8 years.

Hence, option (A) is correct.

7 0
2 years ago
PLEASE HELP!!
slava [35]

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99    (cm^2)

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2 years ago
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Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified clas
posledela

Answer: Jennifer didn't randomly assign participants to the control and experimental group.

Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.

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