a bookstore had 64 copies of a magazine. yesterday it sold 5/8 of them. how many copies were sold yesterday?write your answer in simplest form.

Answers

Answer 1
Answer: 40 magazines were sold.

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F(x) 5,450(1.024)^x The domain for the function that represents the amount of time the money will be in the college fund is _ the range for the function that represents the amount of money that is in the college fund is _

Answers

Answer:

1.) Domain X = all positive real numbers

2.) Range: F(x) > = 5450

Step-by-step explanation:

Given that

F(x) = 5,450(1.024)^x

Where the domain is the independent variable X and the range is the dependent variable Y or F(x)

Since the domain for the function represents the amount of time the money will be in the college fund, time cannot be negative, it will always be positive.

Therefore, domain x will be all positive real numbers.

The least domain x = 0

Substituting domain into the equation will give us a range of value:

F(x) = 5450 × ( 1.024 )^0

F(x) = 5450 × 1

F(x) = 5450

That is, the least value of range = 5450

Therefore, Range will be F(x) greater than or equal to 5450.

F(x) > = 5450

Order from least to greatest: -0.8, 2/5, 0.825, -3/5

Answers

-0.8, -3/5, 2/5, 0.825

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

f(x)=60(1+0.15)^x=60(1.15)^x

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value  .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

f(x)=A(1+r)^x, where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

f(x)=60(1+0.15)^x=60(1.15)^x

We know that exponential function has no intercept , thus this function has no intercept.

Now, at x=4

f(4)=60(1.15)^4\approx104.94

Now, at x=6

f(6)=60(1.15)^6=138.78\approx139

Now, at x=7.86

f(7.86)=60(1.15)^(7.86)=179.98180=3(60)

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

f(8)=60(1.15)^8=183.54\approx184

The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)

The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, m is 4 and the product of r and x is 8. What is the constant of variation?5/8
5/4
5
10

Answers

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The quantity q varies inversely with the square of m and directly with the product fo r and x.

According to question,

q=k(rx)/(m^2)\n\n\text{ where k denotes constant of variation}

Since q=2.5, m=4, rx=8,

So, we put the value of all of theses in our above relation:

q=k(rx)/(m^2)\n\n2.5=k(8)/(4^2)\n\n2.5=k(8)/(16)\n\n2.5=k(1)/(2)\n\n2.5* 2=k\n\n5=k

Hence, Third option is correct.

q = k * (r*x)/m^2 ⇒ k = q*m^2 /(r*x)

k = 2.5 (4)^2 / 8 = 5

Answer: 5

A line passes through the point (-2, 7) and has a slope of -5. What is the value of a if the point (a, 2) is also on the line?
A. -7
B. -1
C. 1
D. 7

Answers

Answer:

B. -1

Step-by-step explanation:

A micrometer is one-millionth of a meter (0.000001): ten thousand times shorter than a centimeter (0.01). How many micrometer one is one edge of a centimeter cube?

Answers

Answer:

       1cm^3=0.000000000001mm^3

Step-by-step explanation:

Given :  0.000001 mm = 0.01 cm

To find : How many mm^3 is in 1 cm^3

Solution :

Step 1 : Given  0.000001 mm = 0.01 cm

Step 2: Cubing both side (0.000001mm)^3 = (0.01cm)^3

Step 3: Solve  (10^(-6))^3mm^3=(10^(-2))^3cm^3

                    \Rightarrow((10^(-6))^3)/((10^(-2))^3)mm^3=1cm^3

                    \Rightarrow(10^(-18))/(10^(-6))mm^3=1cm^3

                    \Rightarrow 10^(-18+6)mm^3=1cm^3

                    \Rightarrow 10^(-12)mm^3=1cm^3

                     \Rightarrow 0.000000000001mm^3=1cm^3

 Therefore,  1cm^3=0.000000000001mm^3

If a cube has an edge of one centimeter and one centimeter is ten thousand times longer than a micrometer, then the edge has ten thousand micrometers.

I hope that's what you meant :)