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kow [346]
3 years ago
8

Let ŷ represent the profit (in thousands of dollars) for a certain company x years after 1970. A statistician calculates a linea

r model ŷ = 0.66 x + 12 Use the model to estimate the profit in 1978. Your answer should be in dollars, not thousands of dollars.
Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

$17,280

Step-by-step explanation:

The model for profit (y), in thousands of dollars, as a function of time (x), in years after 1970 is:

y=0.66x +12

The corresponding value of x in 1978 is:

x= 1978-1970\\x=8

Estimating the profit (in thousands of dollars) in 1978:

y(8)=0.66*8 +12\\y(8) = 17.28

Converting it to dollars:

P = \$1,000*y(8)= \$1,000*17.28\\P= \$17,280

The estimated profit in 1978 is $17,280.

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Can you answer these 3 questions for me plz
finlep [7]
A.
1hr \: 15min = 75min

c = 0.22t = 0.22 \times 75 = 16.5

cost is $16.50

B.

26.40 = 0.22 \times t

rearrange to solve for t:

t = \frac{26.40}{0.22} = 120min

C. This is the same as part B, only the rate changed

t = \frac{26.40}{0.25} = 105.6min

they ask for the greatest number of minutes, so we round down (take the floor of the value).

the answer is 105 minutes.
4 0
2 years ago
Read 2 more answers
A bee flies 25 m north of the hive then 10 m east 5 m west and 10 m south. How far north and east of the hive is it now? Explain
mafiozo [28]

Answer:

20 meters north.

Step-by-step explanation:

(I did it on a paper not to lose track.) First we go 25 north. Then ten east. Five south. And 10 west again. So in East/West we didn't move but we moved 5 down/south so we are still at twenty. If you don't understand still draw it on a paper.

5 0
3 years ago
Circle 1: center (8, 5) and radius 6
PolarNik [594]
We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2

we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool 
see the attached figure

Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and  translate the center of the circle 1  (10) units to the left and (4) units down  
<span>
 the answer part A) is
</span>the radius of circle 1 must be divided by 3 and  translate the center of the circle 1  (10) units to the left and (4) units down  


Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is 
the scale factor is (3/1)</span>

6 0
3 years ago
3/a times x-4=20<br> What is x?
spin [16.1K]

Answer:

Step  1  :

           3

Simplify   —

           a

Equation at the end of step  1  :

   3                

 ((— • x) -  4) -  20  = 0  

   a                

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

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

        4     4 • a

   4 =  —  =  —————

        1       a  

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 fractions that have a common denominator :

2.2       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:

3x - (4 • a)     3x - 4a

————————————  =  ———————

     a              a    

Equation at the end of step  2  :

 (3x - 4a)    

 ————————— -  20  = 0  

     a        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

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

         20     20 • a

   20 =  ——  =  ——————

         1        a    

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(3x-4a) - (20 • a)     3x - 24a

——————————————————  =  ————————

        a                 a    

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 24a  =   -3 • (8a - x)  

Equation at the end of step  4  :

 -3 • (8a - x)

 —————————————  = 0  

       a      

Step  5  :

When a fraction equals zero :

5.1    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, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(8a-x)

 ————————— • a = 0 • a

     a    

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

The equation now takes the shape :

  -3  •  (8a-x)  = 0

Equations which are never true :

5.2      Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

5.3     Solve   8a-x  = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axisThe X and Y intercepts and the Slope are called the line properties. We shall now graph the line  8a-x  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of a is 0/8 so this line "cuts" the a axis at a= 0.00000

 a-intercept = 0/8  =  0.00000  

Calculate the X-Intercept :

When a = 0 the value of x is 0/-1 Our line therefore "cuts" the x axis at x=-0.00000

 x-intercept = 0/-1  = -0.00000  

Calculate the Slope :

Slope is defined as the change in a divided by the change in x. We note that for x=0, the value of a is -0.000 and for x=2.000, the value of a is 0.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.250 - -0.000 = 0.250 in a. (The change in a is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.250/2.000 =  0.125  

Geometric figure: Straight Line

 Slope = 0.250/2.000 = 0.125

 x-intercept = 0/-1 = -0.00000

 a-intercept = 0/8 = 0.00000

Step-by-step explanation:

8 0
3 years ago
Triple the difference between 32 and 19. A. 3 x (32 -19) B. 32 - 19 x 3 C. 3 x 32-19 D. (3 x 32)-19
Elza [17]
The answer is A 3x(32-19)

Reasoning: Triple the difference of 32 and 19 would be a 3x multiplication of 32-19, you need parenthesis in order to do 32-19 first because of PEMDAS. SO the answer would be 3x(32-19 because none of the other options would show the equation correctly.

If you have any more questions feel free to ask them here on Brainly.com, please make sure to give my answer a rate, like, and vote brainliest if I've helped you out, it helps me a lot too!
5 0
2 years ago
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