Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.

V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening

Answer:

y = 2x + 1

Step-by-step explanation:

-3 = 6x - 3y

Add 3y to both sides.

3y - 3 = 6x

Add 3 to both sides.

3y = 6x + 3

Divide both sides by 3.

y = 2x + 1

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

Answer:

i really really really like birds

Answer:

whichever equation equals =15g2

Step-by-step explanation:

Answer:

(17 – 2)g ^2

Step-by-step explanation:

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

Note that  24  - 10  =  14  don't have black  fur

And suppose  that these 14 are part of the 17 that don't catch mice

Then.....3 that catch mice  must also have black fur....and this is the smallest number that do not catch mice but have black fur

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

Answer:

XL = PC

AC = NX

PC = XL

Angle L = Angle C

Angle C = Angle L

Angle X = Angle P

Step-by-step explanation:

Answer:

If Luke ends up with the same as the start $380 that means he withdrew and deposited the same amount. Answer will be b.

Step-by-step explanation:

$380 - $215 = $ 165

$165 + $215 = $ 380

Answer:

10

Step-by-step explanation: r+6+5

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])

                                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]

                                               = [tex]\frac{4}{7}[/tex]

Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]

                                 = [tex]\frac{1}{7}[/tex]

Look at the values on the axes of the graph.

Step-by-step explanation:

Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.

For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.

Answer:

((x-4) - 5x2) - 36 = 0 ... 3.2 Find roots (zeroes) of : F(x) = 5x6 + 36x4 - 1 ..............

2i, 6, -6

Step-by-step explanation:

Answer:

=3(y-y)

=3

= 6q-q+9

=q(6-1)+9

=5q+9

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

​

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

​

y≤15−

4

7

​

x

​

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

​

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

To learn more about inequality equations click :

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Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

Answer:

s=2r

Step-by-step explanation:

Solution:

Given;

2q-r=p

r=q-s

or,q=r+s

p=q+2r

To prove: s=2r

Now,

2q-r=p

or,2(r+s)-r=q+2r

or,2r+2s-r=r+s+2r

or,r+2s=3r+s

or,s=2r

PROVED

If you want any other solutions follow me

THANK YOU

By using the substitution method we can prove s = 2r.

Given,

2p - r = p

r = q - s

p = q + 2r

We need to prove s = 2r.

It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.

Example:

x + 4 = y _____(1)

x = y - 4

x + 5 = 2y ______(2)

Putting x = y - 4 in (2)

y - 4 + 5 = 2y

-4 + 5 = 2y - y

1 = y

y = 1

Prove s = 2r.

We have,

2q - r = p ____(1)

r = q - s _____(2)

p = q + 2r ______(3)

From (1) and (2)

Substituting (2) in (1)

2q - (q - s) = p

2q - q + s = p

q + s = p _____(4)

Putting (4) in (3)

q + s = q + 2r

q - q + s = 2r

s = 2r

Hence proved.

Thus we can prove s = 2r.

Learn more about how to prove a given expression here:

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Answer:

x = 12

Step-by-step explanation:

The sum of a heptagon interior angles is 900 degrees, so:

10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900

rearrange to make it easier to subtract/add, u don't have to do this it's optional

10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900

add liket terms

22x + 29x + 19 + 269 = 900

51x + 288 = 900

subtract 288 from both sides

51x = 612

divide by 51

x = 12

Answer:

msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx

9514 1404 393

Answer:

Step-by-step explanation:

If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...

  y = 12x +24 . . . . . equation modeling party cookies

__

For x=60, the number of cookies at the party is ...

  y = 12·60 +24 = 720 +24

  y = 744 . . . cookies at the party

Answer:

because at 40 its still warm but really cold  but in -5 its cold wherever you go even in the warmest blanket

Step-by-step explanation:

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

Answer:

the answer is

[tex]1 \frac{1}{3} [/tex]

Answer:

46

Step-by-step explanation:

Calculate in calculator