Jo invest 5000 at a rate of 2% per year compound interest.calculate the value of her investment at the end of 3years.
​

Given:

Consider the below figure attached with this question.

The value in the given figure are:

[tex]a=0.2094539899[/tex]

[tex]b=2.507467975[/tex]

[tex]r^2=0.9435996398[/tex]

[tex]r=0.9713905701[/tex]

To find:

The exponential regression equation for the given values (Rounded to three decimal places).

Solution:

The general form of exponential regression equation is:

[tex]y=a\cdot b^x[/tex]          ...(i)

Where, a is the initial value and b is the growth/decay factor.

The given values are:

[tex]a=0.2094539899[/tex]

[tex]b=2.507467975[/tex]

Round these numbers to three decimal places.

[tex]a\approx 0.209[/tex]

[tex]b\approx 2.507[/tex]

Putting [tex]a=0.209, b=2.507[/tex] in (i) to find the exponential regression equation.

[tex]\hat{y}=0.209\cdot 2.507^x[/tex]

Hence, the correct option is C.

Answer:

Dependent variable = Total daily cost

Independent variable = number of items manufactured

2500 ;

9750

Step-by-step explanation:

Given the cost function in. A manufacturing company :

C(x) = 7.25x + 2500 ; Where

C(x) = total daily cost

x = number of items manufactured

The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).

2.)

C(0) ;

C(x) = 7.25x + 2500

Put x = 0

C(0) = 7.25(0) + 2500

Cost = 2500

This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.

3.)

C(1000)

C(x) = 7.25x + 2500

Put x = 1000

C(0) = 7.25(1000) + 2500

Cost = 7250 + 2500

Cost = 9750

This is the total cost including variable cost of producing 1000 items.

Answer: 16

Step-by-step explanation:

Take ( 7 - 3 ) and subtract 3 from 7, which gives you 4, then take 4 and multiply it by 4, ( 4x4 ) which gives you 16.

Answer:

16

Step-by-step explanation:

4 * (7 - 3)

Parentheses first

4*(4)

Then multiply

16

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?

Answer:

(c) 10, 404.

Step-by-step explanation:

Step 1.

To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.

Step 2.

Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:

6 × 9 = 54

Put the 4 in the appropriate column and carry the 5.

6 × 8 + 5(carried) = 53

Put the 3 in the appropriate column and carry the 5.

6 × 2 + 5(carried) = 17

Put the 7 in the appropriate column and carry the 1.

Step 3.

Lastly, work out 30 × 289.

This can be written as 3 × 289 × 10.

Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.

3 × 9 = 27

Put the 7 in the appropriate column and carry the 2.

3 × 8 + 2(carried) = 26

Put the 6 in the appropriate column and carry the 2.

3 × 2 + 2(carried) = 8

Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.

0 + 4 = 4

7 + 3 = 10

Put the 0 in the appropriate column and carry the 1.

6 + 7 + 1(carried) = 14

Put the 4 in the appropriate column and carry the 1.

8 + 1 + 1(carried) = 10

Put the 0 in the appropriate column and carry the 1.

1 (carried) = 1

So: 289 × 36 = 10404

Mathematics done on paper should look something like this; ( Did the best I can on PC)

2 8 9

................. 3....6....×

1 7 3 4

 1 5 5  

8 6 7 0

.......  2......2.........  

1 0 4 0 4

1 1 1    

Hope this helped!

Answer:

B

Step-by-step explanation:

The inequality will be 35000-320m>0

Answer:

38.957625 US$

Step-by-step explanation:

38.957625 US$

Answer:

38.96

Step-by-step explanation:

Change from percent to decimal form

.0765 * 509.25

38.957625

Rounding to the nearest cent

38.96

Answer:

Step-by-step explanation:

D

Answer:

∠J ≅ ∠V

Step-by-step explanation: I took the same test (:

Answer:

A. 1000/1 = x/2500

Step-by-step explanation:

1000 g = 1 kg

Using ratios

1000 g         x g

------------ = --------------

1 kg             25 00 kg

Answer:

A. 1000/1 = x/2500

Step-by-step explanation:

KHD - DCM

Kilo - Hecta - Deca - Base - Deci - Centi - Mili

*When moving from left to right, each spot you pass multiplis your number by 10.

2500 kilo → x grams (base)

Proportions:

grams/kilos = x/2500

*For every 1 kilo, there is 1000 grams.

1000/1 = x/2500

Answer:

[tex]E = 0.0158[/tex]

Step-by-step explanation:

Given

[tex]n = 5900[/tex]

[tex]x = 1770[/tex]

[tex]CI = 99\%[/tex]

Required

The margin of error (E)

First, calculate proportion p

[tex]p = x/n[/tex]

[tex]p = 1770/5900[/tex]

[tex]p = 0.3[/tex]

Given that:

[tex]CI = 99\%[/tex]

Calculate the alpha leve;

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1- 0.99[/tex]

[tex]\alpha= 0.01[/tex]

Divide by 2

[tex]\alpha/2= 0.01/2[/tex]

Subtract from 1

[tex]1 - \alpha/2= 1 - 0.01/2[/tex]

[tex]1 - \alpha/2= 0.995[/tex]

The corresponding z value is:

[tex]z =2.576[/tex]

So, the margin of error is:

[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]

So, we have:

[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]

Using a calculator, we have:

[tex]E = 0.01577471394[/tex]

Approximate

[tex]E = 0.0158[/tex]

Answer:

A, B, E, F

Step-by-step explanation:

24>12, 24>15, 24>13, 24>18, 24<42, 24<41

Answer:

[tex]8[/tex]

Step-by-step explanation:

Note that 1/2 xy^2 is, by order of operations, read as [tex]\frac12xy^2[/tex]. If this is not what was intended in the question then please amend it according order of operations.

Plugging the values [tex]x=4[/tex] and [tex]y=-2[/tex] gives

[tex]\frac12xy^2=\frac12(4)(-2)^2=\frac12(4)(4)=\frac12(16)=8[/tex]

Answer:

Remainder is -53/8

Step-by-step explanation:

the divisor is (2x - 3):

make x the subject:

[tex]2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} [/tex]

substitute for x in the function:

[tex]f(x) = {x}^{3} - 6 {x}^{2} + 3x - 1 \\ f( \frac{3}{2} ) = {( \frac{3}{2}) }^{3} - 6 {( \frac{3}{2}) }^{2} + 3( \frac{3}{2} ) - 1 \\ \\ f( \frac{3}{2} ) = \frac{ - 53}{8} [/tex]

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

Answer:

boat speed 79 kph

stream speed 16kph

Step-by-step explanation:

Let v be the still water velocity

Let s be the stream velocity

3(v - s) = 189

3v - 3s = 189

   v - s = 63

        v = 63 + s

         5(v + s) = 475

         5v + 5s = 475

5(63 + s) + 5s = 475

315 + 5s + 5s = 475

               10s = 160

                  s = 16 km/hr

v = 63 + 16

v = 79 km/hr

Let x be the first number in the sequence. Then the first three numbers are

{x, x + 3, x + 6}

The next sentence says that the sequence

{x + 1, x + 9, x + 25}

is geometric, which means there is some fixed number r for which

x + 9 = r (x + 1)

x + 25 = r (x + 9)

Solve for r :

r = (x + 9)/(x + 1) = (x + 25)/(x + 9)

Solve for x :

(x + 9)² = (x + 25) (x + 1)

x ² + 18x + 81 = x ² + 26x + 25

8x = 56

x = 7

Then the three numbers are

{7, 10, 13}

Answer:

I think cubic polynomial cause degree is 3

Step-by-step explanation:

5.25....................

Answer:

C

Step-by-step explanation:

He want's the bookshelf to be 1.5 feet taller than 1/4 of the height of his plant

If his plant's height is p, 1/4 of it's height would be 1/4p

As he wants the bookshelf to be 1.5 feet taller than this, the height should be

1.5 + 1/4p, which can also be written as p/4 + 1/5

Answered by g a u t h m a t h

Answer:

1/4p +1.5

Step-by-step explanation:

p = plant stand

The bookshelf is 1/4 the height of the plant stand plus 1.5 ft

1/4p +1.5

5 pencils = 15 dollors

1 pencil = 15/5 dollors

therefore 1 pencil = 3 dollors...

Answer:

Each pencil would cost $3.00

Step-by-step explanation:

If 5 costs $15, to find the cost of one you divide 15 by 5

15 ÷ 5 = 3

Brenna and her mom finished eating dinner at 7:28 PM

They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.

4:47 + 26 = 5:13 PM

They spent another 1 hour and 13 minutes shopping for a dress.

5:13 + 1 hr 13 min = 6:26 PM

Finally, they spent 1 hour and 2 minutes eating dinner at the food court.

6:26 + 1 hr 2 min = 7:28 PM

Hope this helps :)

Answer:

26 + 3 x 42 + 7 x -2 = 138

Step-by-step explanation:

Ok bud, first step we must convert our symbols (Makes it easier to solve)

26 + 3 x 42 + 7 x -2

* subsitutes for multiplication.

I recommend using PEMDAS at times:

1 - Parentheses

2 - Exponents and Roots

3 - Multiplication

4 - Division

5 - Addition

6 - Subtraction

Yet again your numbers were spaced out could they be exponents? if so:

3x^{42}+7x+24

Our answer would round to 24 but he equation was not put in a valid or straight forward way.

Answer:

12/40 or simplified it would be 3/10

Step-by-step explanation:

Answer:

8/3 > 19/8

Step-by-step explanation:

Get a common denominator

8/3 *8/8 = 64/24

19/8 *3/3 =57/24

Comparing the numerators

64>57

8/3 > 19/8

Answer:

All real number

Step-by-step explanation:

The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.

Hope this help <3

Answer:

approximately 12.7

Step-by-step explanation:

using phythagoras rule,

hyp²=opp²+ adj²

15²=x² + 8²

225=x² + 64

x²=225 - 64

x²= 161

x=12.7

OR

sin ø= 8/15

sin ø=0.53333333

ø=sin(inverse) of 0.53333333

ø=0.563⁰

therefore angle opposite 8 is 0.563

tan 0.563= 8/x

x tan 0.563=8

x= 8/tan 0.563

x= 12.7

Answer:

D.

Step-by-step explanation:

5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828

Therefore,

1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17

Answer:

8 pieces are shaded

Size of one square is (1/3)*(1/5)=1/15

The area of shaded region is basically (2/3)*(4/5)=8/15

The Size of one square is 1/15. The area of the shaded region rectangle is 8/15.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

From the given figure we can see that 8 pieces of the square makes a shaded region.

The area of a square = side x side

[tex]= \dfrac{1}{3}\times\dfrac{1}{5}\\\\=\dfrac{1}{15}[/tex]

Therefore, the Size of one square is 1/15.

The area of the shaded region rectangle = length × Width

[tex]= \dfrac{2}{3}\times\dfrac{4}{5}\\\\=\dfrac{8}{15}[/tex]

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Answer:

x = 1

Step-by-step explanation:

8x = 5x + 3

Subtract 5x from both sides

8x - 5x = 5x - 5x + 3

Simplify

3x = 3

Divide both sides by 3

3x/3 = 3/3

Simplify

x = 1