$2000 is invested at a rate of 4.2% compounded annually. Identify the compound interest function to model the situation. Then find the balance after 7 years. A = 2000(1.042)^t; $2667.50 A = 2000(1.42)^4t; $2557.50 A = 2000(1.042)^t; $2337.50 A = 2000(14.2)^4t; $2447.50

Answer:

25 pictures will take up 75 Megabytes of space.

Step-by-step explanation:

Given that:

Number of pictures downloaded = 64

Space taken by pictures = 192 MBs

Unit rate = [tex]\frac{192}{64}[/tex]

Unit rate = 3 Megabytes per picture

Now,

The space 25 pictures would take,

25 pictures = 3*25

25 pictures = 75 Megabytes

Hence,

25 pictures will take up 75 Megabytes of space.

Answer:

$2,472 ; 38.40 ; $3816

Step-by-step explanation:

Given the equation to represent Gloria's cost of painting :

T = $38.40c + $2,472.00 ;

T = total cost ; c = number of canvas' Gloria purchased

General form of a slope-intercept equation :

y = mx + c

m = gradient ; c = intercept

Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.

Hence, Cost of brushes and paint is $2472

B.) cost of each canvas is denoted by the slope of the model = $38.40

C.) if number of painting made = 35

Number of canvas, c = 35

Total cost :

T = 38.40(35) + 2,472.00

Total cost = $3816

Answer:

D or C more than likely D

Step-by-step explanation:

Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

Step-by-step explanation:

(2$+1.5&)+0.9$X=20$

3.5$+0.9$X=20$

0.9$x=20$-3.5$

x=16.5$/.9$

x=18.333

so he can travel 18.333miles.

first we need to add the two separated cause of 1.5 Dollar in $2 tip which give us 3.5 dollar that is to be subtracted from the $20 you have. then the money that is left in your pocket is 16.5 dollar s this will be deducted 0.9 for every mile so dividing 16.5 by 0.9 gives 18.333.

Answer:

119 is the answer

Step-by-step explanation:

use sum of angles on a straight line

Answer:

is the 3 one (119)

Because we all know that (B) is equal to 62 and (AB is 57 and if you add 62 + 57 = 119

answer: 5b

the exponents basically cancel themselves out. :)

Answer:

840lbs because that's how much

Answer:

880 pounds

Step-by-step explanation:

400 x 2.2 = 880

Answer:

8

Step-by-step explanation:

3(2)-2(1-2) / 3-2

6-2(-1) / 1

6 + 2 / 1

8 / 1

= 8

Answer:

-1 < x ≤ 3

Step-by-step explanation:

First, we need to simplify this inequality.

9 > -5x + 4 ≥ -11 (Given)

5 > -5x ≥ -15 (Subtract 4 on both sides)

-1 < x ≤ 3 (Divide -5 on both sides)

Note that the signs flip due to dividing by a negative number.

Answer:

[tex]-1<x\leq3[/tex]

Step-by-step explanation:

Let's take two equations from this and them put them back together! So:

9>-5x+4

and

[tex]-5x+4\geq -11[/tex]

For the first one:

9>-5x+4

Subtract 4 from both sides

5>-5x

Then divide by -5 (Remember to change the direction of the sign!):

-1<x

Now onto the second one:

[tex]-5x+4\geq -11[/tex]

Subtract 4 from both sides:a

[tex]-5x\geq -15[/tex]

Then divide by -5 (Remember to change the direction of the sign!):

[tex]x\leq 3[/tex]

Now add the equations back together:

[tex]-1<x\leq3[/tex]

Answer: -27/70

Step-by-step explanation:

x ÷ 12 − 3x − 1 ÷ 8 = 1

Simplify x ÷ 12 − 3x − 1 ÷ 8.

  Rewrite the division as a fraction.

        x /12 − 3x − 1 ÷ 8 = 1

   Rewrite the division as a fraction.

        x/12− 3x − 1/8 = 1

  To write −3x as a fraction with a common denominator, multiply by  12/ 12

        x/12− 3x ⋅ 12/12 − 1/8 = 1

  Simplify terms.

   Combine −3x and  12/12

        x /12−3x ⋅ 12/12 − 1/8  = 1  

  Combine the numerators over the common denominator.

        (x − 3x ⋅ 12/12) − (1/8)  = 1

  Simplify the numerator.

        (x ⋅ −35/12) -(1/1) =  1

  Move −35 to the left of x.

        −(35 ⋅ x/12) -(1 /8) = 1

   Move the negative in front of the fraction.

        -(35x/12) −(1/8) = 1

Move all terms not containing x to the right side of the equation.

  Add 1/8 to both sides of the equation.

        -(35x/12) = 1 + (1/8)

  Write 1 as a fraction with a common denominator.

        -( 35x /12) =  8/8 + 1 /8

    Combine the numerators over the common denominator.

        -( 35x /12) =  8+1/8

  Add 8 and 1.

        -( 35x /12) =  9/8

Multiply both sides of the equation by − 12/35

        -( 12 /35) ⋅ (− 35x /12 ) = − 12/35 ⋅ 9/8

Simplify both sides of the equation.

   Simplify -( 12 /35) ⋅ (− 35x /12 )

   Cancel the common factor of 12.

              −1/35⋅ (−35x) = − 12/35 ⋅ 9/8

    Cancel the common factor of 35.

               −1 ⋅ (−x) = − 12/35 ⋅ 9/8

   Multiply −1 by −1.

                   1 ⋅ x = − 12/35 ⋅ 9/8

      Multiply x by 1.

                   x = − 12/35 ⋅ 9/8

   Simplify − 12 /35  ⋅ 9/8

   Cancel the common factor of 4.

                   x = −3/35 ⋅ 9 /2

   Multiply −3/35 and 9/2 .

                   x= (−3 ⋅ 9)/( 35 ⋅ 2 )

    Simplify the expression.

   Multiply −3 by 9.

                   x = -27/(35 ⋅ 2)

   Multiply 35 by 2.

                   x= -27/70

The result can be shown in multiple forms.

Exact Form:   x= -27/70

Decimal Form:  x  = −0.3857142...

Answer:

4

Step-by-step explanation:

-x + 5 = 1

-x = 1 - 5

-x = -4

x = 4

Answer:

[tex]f^{-1} (x) = x - 3[/tex]

Step-by-step explanation:

Answer:

7(x+4)-6(x+3)=x+5

or , 7x + 28 - ( 6x + 18 ) = x + 5

or , 7x + 28 - 6x - 18 = x + 5

or , x + 10 = x + 5  

The equation is incorrect !!

Answer:

The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.Step-by-step explanation:

Answer:

if it is 2$ per pound then 2 time how much you are bying.

Step-by-step explanation:

Answer:

11.242÷22=0.511

Plzzzzz give me Brainliest!!!!!  

Answer:

im confused as you are

Step-by-step explanation:

look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?

Answer:

Answer is 10

Step-by-step explanation:

Attatchment

Answer: 180 people

Step-by-step explanation:

Number if people living in the town = 800

Children aged 17 or younger = 200

Adults of 18 and above = 800 - 200 = 600

Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:

= 15/50 × 600

= 180 people

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Answer:

Both A and B

Step-by-step explanation:

sum of opposite interior angles is equal to the exterior angle.

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

Speed(Rate) = Distance/Time

A Family travels at a constant rate and drove 420 miles in 7 hours.

Speed(Rate) = 420 miles/7 hours

= 60 miles per hour

Step 2

If they drive at the same speed ,How many miles will they drive in the next four hours.?

We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

Speed = 60 miles per hour

Time = 4 hours

Distance = 60 miles per hour × 4 hours

Distance = 240 miles

Therefore, for the next 4 hours the number of miles they would drive is 240 miles

Answer: No, No, No, Yes

answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

Answer:

$378

Step-by-step explanation:

(9000 x 0.70%) * 6 = 378

Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped

Step-by-step explanation:

Step-by-step explanation:

For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)

Since 1² + 2² =/= 5², (5 =/= 25)

it will not form a right triangle.

Another Explanation:

Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.