The average cost of a scientific calculator was $96.50 in 1970. The same type of calculator cost $21 in 2016. Assuming the exponential decay model applies, what will a similar calculator cost in the year 2019? Round your answer tbo the nearest cent.​

Answer:

c

Step-by-step explanation:

Given

sinN = [tex]\frac{a}{b}[/tex] ( multiply both sides by b ) , then

a = bsinN → (a)

And

sinM = [tex]\frac{a}{y}[/tex] ( multiply both sides by y ), then

a = ysinM → (b)

Thus a is both (a) and (b)

Answer:

BC=11

Step-by-step explanation:

we need to find BC

and we  know that

AB= x+2

AC=13

BC=2x+11

A, B and C are collinear

that means that

AB+BC=AC

x+2+2x+11=13

3x+13=13

3x=0

x=0

so BC=2(0)+11

BC=11

Step-by-step explanation:

what concepts of functions can you associate with the picture

The concepts of functions that can be associated with the pictures are :

attached below is the missing diagram.

A concept is general idea about a Thing which can be represented in different forms. It can be visual or non-visual. therefore some of the concept of  function represented in the pictures includes ; money, Financial Accounts, savings.  e.t.c.

Hence from the pictures attached below the concepts that are represented in them includes ; Money, Account, Revenue and Savings.

learn more : https://brainly.com/question/1103669

Answer:

Hey there!

5760/480000=x/600000

Solving for x, we get the answer is $7200.

Let me know if this helps :)

Answer:

$7200

Step-by-step explanation:

We can start by finding out the tax rate by dividing the property tax by assessed value.

$5760/$480,000 = 0.012

From this, we learn the tax rate is 1.2%

Now, we can multiply the assessed value of $600,000 by the tax rate.

$600,000*0.012 = $7200

The property tax on a house with the assessed value of $600,000 is $7200.

Answer:

[tex]\lim_{x \to 5^{-}} f(x)= 54[/tex]

[tex]\lim_{x \to 5^{+}} f(x) = -17[/tex]

Step-by-step explanation:

+ means we are approaching from the right

- means we are approaching from the left

We are given that if x < 5, it is x² + 5x + 4

So to find [tex]\lim_{x \to 5^{-}} f(x)[/tex] we would plug in 5 into that piecewise function part:

5² + 5(5) + 4 = 54

We would be approaching y = 54 if we approach from the left.

We are given that x > 5, it is -4x + 3

So to find [tex]\lim_{x \to 5^{+}} f(x)[/tex] we would plug in 5 into that piecewise function part:

-4(5) + 3 = -17

We would approach y = -17 if we approached from the right.

Answer:

[tex]\lim_{x \to 5^-}f(x)=54\\\lim_{x \to 5^+}f(x)=-17[/tex]

Step-by-step explanation:

So, we have the function:

[tex]f(x)=x^2+5x+4,x<5\\f(x)=8,x=5\\f(x)=-4x+3,\text{ otherwise}[/tex]

And we want to show that this has a jump discontinuity.

As directed, calculate the limit at x=5 from the left and from the right. Thus:

[tex]\lim_{x \to 5^-}f(x)[/tex]

To calculate this, since we're coming from the left, x is less than 5. So, use the first equation:

[tex]\lim_{x \to 5^-}f(x)\\= \lim_{x \to 5^-}(x^2+5x+4)\\[/tex]

Use direct substitution:

[tex]=(5)^2+5(5)+4\\=25+25+4\\=54[/tex]

Thus, as the limit approaches f(5) from the left, the function approaches 54.

Now, calculate the limit at x=5 from the right. Since we're coming from the right, use the third equation:

[tex]\lim_{x \to 5^+}f(x)\\= \lim_{x \to 5^+}(-4x+3)[/tex]

Direct substitution:

[tex](-4(5)+3)\\=-20+3\\=-17[/tex]

Thus, as the limit approaches f(5) from the right, the function approaches -17.

As you can picture, there's a huge gap between y=54 and y=-17. The limits are not equal and both of the limits do exist. Thus, we have jump discontinuity.

Answer: 11, 56, 168

Step-by-step explanation: order of operations:

1+10=11.

3+11=14. 14x4=56.

3x56=168

Answer:

Step-by-step explanation:

[tex]\left(\dfrac{143}{4}-\dfrac38\right)+\left(\dfrac{207}{8}-\dfrac38\right)=\dfrac{286}{8}-\dfrac38+\dfrac{204}{8}=\dfrac{283}{8}+\dfrac{204}{8}=\dfrac{487}{8}[/tex]

Answer:

x>0

Step-by-step explanation:

We want to solve for x in the inequality:

4^x > 1

ln(4^x)=xln(4) > ln(1)=0

x > 0/ln(4) =0

x>0

So for any value of x greater than 0, you will have 4^x be greater than 1.

Answer: 250 words in 5 minutes

Step-by-step explanation:

Answer:

7.00

Step-by-step explanation:

so you have to round to the narest 0.01 the easy way to do it is round to the hundreth place. And you will get your answer which is 7.00

Answer a=3f+g/b+x

Step-by-step explanation:

Let's solve for a.

a(x+b)=g+3f

Step 1: Factor out variable a.

a(b+x)=3f+g

Step 2: Divide both sides by b+x.

a(b+x)/b+x=3f+g/b+x

a=3f+g/b+x

Answer:

150 feet

Step-by-step explanation:

A rectangle has 2 pairs of equal sides.

One of the sides is 100 feet, meaning another side is 100 feet.

If we subtract 200 feet we are left with 300, which are the last two sides.

Divide 300 by 2 to get each side length.

150 feet

Answer:

c

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Step-by-step explanation:

[tex]6x-10=-8+3x\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\6x-10+10=-8+3x+10\\\\\mathrm{Simplify}\\6x=3x+2\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\6x-3x=3x+2-3x\\\\Simplify\\3x=2\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{2}{3}\\\\Simplify\\x=\frac{2}{3}[/tex]

Answer:

x = 2/3

Step-by-step explanation:

This equation can be solved by using conventional algebraic techniques.

We firstly want to make sure to get our constants on one side of the equation and then get our variables on the other.

6x - 10 = -8 + 3x Subtract 3x from both sides of the equation.

3x - 10 = -8 Add 10 to both sides of the equation.

3x = 2 Divide by 3 on both sides of the equation.

x = 2/3

Then, you can voluntarily check your answer.

6(2/3) - 10 = -8 + 3(2/3)

4 - 10 = -8 + 2

-6 = -6

Step 1) Set up a proportion

180 girls / x boys = 4 girls / 3 boys

540 = 4x

x = 135 boys

Step 2) Add the number of boys and girls together

180 + 135 = 315

Answer: 315 total students

Answer:

3xy+6x+3y+6

Step-by-step explanation:

You just need to combine like terms.

5x and x are like terms so you can add them to 6x.

2 and 4 are like terms so you can add them to 6

Answer:

1. 1.23

2. 15400

3. 0.0025

4. 0.567

5. 100000000

6. 0.00000001

Step-by-step explanation:

you just move the decimal point left for negative and right for positive

Answer:

  point G

Step-by-step explanation:

Find the referenced points on the diagram and notice the lines between them. The point at the intersection of those lines is what is wanted.

It is point G.

Answer:

2,640 miles in 12 hours.

Step-by-step explanation:

440/2=220mph

220*12 hours=2,640

rate of speed=220pmh

Answer:

[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]

Step-by-step explanation:

So we want to find an equation of a line passing through (-8,2) with a slope of 4/3.

To do so, we can use the point-slope form. This is:

[tex]y-y_1=m(x-x_1)[/tex]

So, substitute (-8,2) for x₁ and y₁, and let m be 4/3:

[tex]y-2=\frac{4}{3}(x+8)[/tex]

Distribute the right:

[tex]y-2=\frac{4}{3}x+\frac{32}{3}[/tex]

Add 2 to both sides. Note that 2 can be written as 6/3. Thus:

[tex]y=\frac{4}{3}x+\frac{32}{3}+\frac{6}{3}[/tex]

Simplify:

[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]

And this is our equation :)

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

Answer:

0.193877

Step-by-step explanation:

The data given to us is

Pre-Employment Drug Screening Results

                    Positive test result                 Negative test result

                    Drug Use Is Indicated            Drug Use Is Not Indicated

Subject Uses Drugs:            38                                         12

Subject Is Not a drug user: 19                                         29

Now the total of this is = 38+19+12+29= 98

Now the probability of false positive is = 19/98= 0.193877

The Subject Is Not a drug user  would suffer from a false positive. He is not a user and has a positive result.

Answer:

2/6 or 1/3

Step-by-step explanation:

Answer:

They are some side interior angles. Angle A measures 55 degrees.

Step-by-step explanation:

Angle A is accuse so it can’t be 90 or more, so that narrows you’re options down by two. From there it’s fairly easy to distinguish.

Answer:

x = 0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*x+8/6-(1/3*(x+4))=0

Simplify 1/3

Equation at the end of step  1 :

(2x +  8/6) -  (1/3 * (x + 4))  = 0  

STEP  2 :

Equation at the end of step 2

 (2x + 8/6) -  (x+4)/3  = 0  

STEP  3 :  

Simplify 4/3

Equation at the end of step  3 :

(2x + 4/3) -  (x+4)/3  = 0  

STEP  4 :

Rewriting the whole as an Equivalent Fraction

Adding a fraction to a whole

Rewrite the whole as a fraction using  3  as the denominator :

2x =  2x/1  =  2x*3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x * 3 + 4/3  =  6x+4/3

Equation at the end of step  4 :

(6x+4)/3 -  (x+4)/3  = 0  

STEP  5 :  Pulling out like terms

Pull out like factors :

6x + 4  =   2*(3x + 2)  

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2*(3x+2)-((x+4))/3  =  5x/3

Equation at the end of step  5 :

5x/3 = 0  

STEP  6:  When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

5x/3*3 = 0*3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

5x  = 0

Solving a Single Variable Equation:

Solve  :    5x = 0  

Divide both sides of the equation by 5:

x = 0

Answer:

A and B.

Step-by-step explanation:

So we want to select the fractions that equal -1/7.

Let's go through each of the answer choices.

A)

A is -1/7, the exact same.

A is correct.

B)

B is 1/-7.

We can move the negative to the top.

So, 1/-7 is equivalent to -1/7.

B is also correct.

C)

C is 1/7

There are no negatives whatsoever.

C is not correct.

D)

We have -1/-7.

Again, move the negative to the top. We will have:

-(-1)/7

The two negatives cancel:

=1/7.

So, D is not correct.

Our answers are A and B.

Answer:

Sum of the sequence (Sn) = 33,859

Step-by-step explanation:

Given:

Sequence = 685+678+671+664+...+6

Find:

Sum of the sequence (Sn)

Computation:

a = 685

d = 678 - 985 = -7

an = 6

an = a+(n-1)d

6 = 685+(n-1)(-7)

-679 = (n-1)(-7)

97 = n-1

n = 98

So,

Sum of the sequence (Sn) = (n/2)[a+an]

Sum of the sequence (Sn) = (98/2)[685+6]

Sum of the sequence (Sn) = (49)(691)

Sum of the sequence (Sn) = 33,859

Answer:

EZ

Step-by-step explanation:

EZ