Simplifying into an equivalent expression, fill in the missing pieces:

Answer:

[tex]f(x) = 2000 * 1.05^x[/tex]

Step-by-step explanation:

The key to this question is interpreting the graph and then modelling it into an exponential function.

You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)

Now refer to the standard form of an exponential function.

[tex]y = a * b^x[/tex]

Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000

So you got your a value. Sub it into the equation and now you got.

[tex]y = 2000 * b^x[/tex]

You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.

[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]

Now you have your a and b values. Now you can express using a function:

[tex]f(x) = 2000 * 1.05^x[/tex]

Step-by-step explanation:

parallel lines have equal slopes

therefore,

line d will have slope -9/2

The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes

Given Data

The speed/ rate is defined as the number of pages read per minutes passed

Hence the expression for the unit rate is given as

Unit Rate = Number of pages/Time Taken

Substituting our given Parameters

Unit Rate = 75/30

Unit Rate = 2.5 pages per minutes

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Answer:

C. Is the answer

Step-by-step explanation:

Hope it helps

Answer:

80 grams

Step-by-step explanation:

since butter & flour are in the ratio 2:3

2/5 = 640

then 3/5 = flour(?)

eliminate 5 since it is common so that

2= 640

3= x

cross multiply

x= 3 /2× 640

= 960

640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3

960-880 = 80

hence 80 more grams of flour are needed.

The largest exponent is the degree.

this only has one exponent so the degree would be 3

Answer: I think its 8

Step-by-step explanation:

Answer: $212.52

Step-by-step explanation:

first we have to find the right equation for the problem. a "pen" is an enclosure for animals that is fenced in, meaning we have to find how much fencing we need.

the question gives us two values, 8 meters wide and 13 meters long. we can infer that this "pen" is in the shape of a rectangle meaning two sides will be 8 meters wide and the two others sides are 13 meters long.

this means we will be finding the perimeter of the pen, which is all the sides of a shape added together. for a rectangle the perimeter you use (lenght+width) *2.

when we add the given values we have (8+13)*2 → 21*2 → 42. we need 42 meters of fencing to complete the "pen."

since each meter of fencing is worth $5.06, we multiply the amount of fencing me need by the cost. 5.06*42= 212.52.

this means the farmer will need to spend $212.52 in order to make his goat pen with a perimeter of 42 meters.

Answer:

the answer is 48

Step-by-step explanation:

Sales tax amount:-

Price:-

Answer:

$17,280

Step-by-step explanation:

Given

Solving :

Answer:

1:2.5

Step-by-step explanation:

just divide each side by 2

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation [tex]17,600(1.16)^8[/tex]

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

please rate and mark as brainlest

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis

A=2(wl+hl+hw)

Plug in the variables in the formula.

Answer:

[tex]\frac{512}{6561}[/tex]

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

The number of packets of corn seeds Darin planted is 16 packets.

The equation:

Total Packets = Bean seeds + corn seeds

24 = 8 + n

24 - 8 = n

16 = n

Therefore, the number of packets of corn seeds Darin planted is 16 packets.

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Answer:

91 degrees

Step-by-step explanation:

Angle RT = 46 degrees

Angle RU = 180 degrees

Angle RS = 89 degrees

So 46 + 89 = 135

180 - 135 = 45

So Angle UT = 45 degrees

Which means that Angle QR = 45 degrees also because they are vertical from each other

So you add 45 + 46 = 91

Angle TQS = 91 degrees

Answer:

1.) you're going to subtract 4 from 46

46-4= 42

7x=42

Then you divide 7 from 42 and get 6..........x=6

2.) you're going to do the same thing for this one

17-9=8

4x=8

8÷4=2

x=2

3.) you're going to do the same thing

1-1=0

2x=0

0÷2=0

x=0

Step-by-step explanation:

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Answer:

37.12

Step-by-step explanation:

Area of a Semi-circle = 3.14 x r to the 2nd power / 2

Area of a Triangle = b x h /2

3.14 times 4 to the 2nd power  divided by 2 is 25.12. 8 times 3 is 24, divided by 2 is 12. Add 25.12 and 12 together and get 37.12.

Answer:

(8π + 12) in.2 or B

Step-by-step explanation:

E2020

Answer:

169 minutes

Step-by-step explanation:

First, deduct the fee:

22.28 - 2 = 20.28

Change the dollars into cents:

20.28 x 100 = 2028

Then divide the amount by 12 cents:

2028 / 12 = 169.

He rode it for 169 minutes or 2 hours and 49 minutes

Answer:

LOWER UPFRONT COSTS

Step-by-step explanation:

you're welcome ;)

Answer:

It is squash

Step-by-step explanation:

This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.

Answer:

the answer is 1/2 the first one

Step-by-step explanation:

Because a dice has 6 sides, 3 of the numbers are odd so 3/6 and that is equal to 1/2 when simplified.

For zeroes i.e for value(s) of q and s, the given equations must be equal to 0, so let's start with first equation and then 2nd equation ;

[tex]{:\implies \quad \sf 6q^{2}-17q+12=0}[/tex]

[tex]{:\implies \quad \sf 6q^{2}-9q-8q+12=0}[/tex]

[tex]{:\implies \quad \sf 3q(2q-3)-4(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf (3q-4)(2q-3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q-4=0\:\:\:or\:\:\: 2q-3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:3q=4\:\:\:or\:\:\:2q=3}[/tex]

[tex]{:\implies \quad \bf q=\dfrac{3}{2},\dfrac43}[/tex]

Now, turning to the second equation ;

[tex]{:\implies \quad \sf 8s^{2}+2s-15=0}[/tex]

[tex]{:\implies \quad \sf 8s^{2}+12s-10s-15=0}[/tex]

[tex]{:\implies \quad \sf 4s(2s+3)-5(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf (4s-5)(2s+3)=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s-5=0\:\:\:or\:\:\: 2s+3=0}[/tex]

[tex]{:\implies \quad \sf Either\:\:4s=5\:\:\:or\:\:\:2s=-3}[/tex]

[tex]{:\implies \quad \bf s=\dfrac{5}{4},-\dfrac32}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

I am assuming you want to factor these expressions.

6q^2 - 17q + 12

We need 2 numbers whose product is (6*12) = 72 and whose sum is -17.

Theses are -9 and -8 so we write:

= 6q^2 - 9q - 8q + 12

= 3q(2q - 3) - 4(2q - 3)

= (3q - 4)(2q - 3)

If you want the solution of this expression = zero they are q = 4/3, 3/2.

8s^2 + 2s - 15

8 * -15 = -120.   -120 = -2 * 2 * 2 * 3 * 5 = +12 * -10 ( to give the +2s)

= 8s^2 + 12s - 10s - 15

= 4s(2s + 3) - 5(2s + 3)

= (4s - 5)(2s + 3)

If you want the solution of this expression = zero they are s = 5/4, -3/2.

Answer:

48 = 98x   (where x is the width)

Step-by-step explanation:

Area of a rectangle = length × width

Let x = width

Given:

⇒ 48 = 98x

Answer:

x=0.4897599184

Step-by-step explanation:

→Solution,

Area(A)=48 in²

Lenght(l)=98in

Breadth(b)=?

Let the breadth be x.

As we have,

Area of rectangle=l×b

48 in²=98 in × x

48 in²/98 in = x

x=0.4897599184

Answer:

4.2

Step-by-step explanation:

The square root of 18 is 4.24

So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.

Put the dot where you think it would be appropriate to be labled as 4.2.

Also if you didnt know the x axis is the one on the bottom.

When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.

From the complete information, the other two sides have been given as 4 inches and 5 inches.

The Pythagoras theorem will be used in this case and it goes thus:

4² + Width² = 5²

Width² = 5² - 4²

Width² = 25 - 16

Width² = 9

Width = ✓9

Width = 3

In conclusion, the width is 3 inches.

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Answer:

Step-by-step explanation:

<A and <B are alternate interior angles. That means they are in the interior of the parallel lines and they are on opposite sides of the transversal.

When that happens <A = <B

8x + 78 = 2x + 114                      Subtract 2x from both sides.

8x - 2x + 78 = 2x - 2x + 114       Combine

6x + 78 = 114                              Subtract 78 from both sides

6x + 78 - 78 = 114 - 78

6x = 36                                       Divide by 6

6x/6 = 36/6

x = 6

I think you are asked for B

<B = 2x + 114

<B = 2*6 + 114

<B = 12 + 114

<B = 126