Oakridge High School has been experiencing an annual
decline of 2.2% in enrollment since 1994. In 1994, 3000
students were enrolled. Determine the exponential
model that describes the school's enrollment over time.
y = 3000(97.8)^x
y = 3000(102.2)^x
y=3000(1.022)^x
Y= 3000(0.978)^x

Answers

Answer 1

Answer:

Option (D) is correct.

Step-by-step explanation:

We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

y = a (1-b)ˣ

here

y represents the final amounta represents the original amountb represents the decay factorx represents the amount that has passed

Now, map our problem using the same concept formula

3000 students were enrolled, so

a = 3000

as High School has been experiencing an annual decline of 2.2% in enrollment, so

b = 2.2%= 0.022

so substituting b = 0.022 and a = 3000

y = a (1-b)ˣ

y = 3000 (1 - 0.022)ˣ

1 - 0.022 = 0.978

so the expression becomes

y = 3000 (0.978)ˣ

Therefore, option (D) is correct.

Related Questions

I need help getting the reasons and statements

Answers

Given:

[tex]\overline{HG}||\overline{JI},\overline{GI}\cong \overline{IK}[/tex] and [tex]\angle HIG\cong \angle JKI[/tex]

To prove:

[tex]\angle H\cong \angle J[/tex]

Solution:

In [tex]\Delta GHI[/tex] and [tex]\Delta IJK[/tex],

Statements Reasons

[tex]\overline{HG}||\overline{JI},\overline{GK}[/tex] is transversal. (Given)

[tex]\angle HGI\cong \angle JIK[/tex] (Corresponding angles)

[tex]\overline{GI}\cong \overline{IK}[/tex] (Given)

[tex]\angle HIG\cong \angle JKI[/tex] (Given)

Two angles and their included side are congruent in both triangles. So,

[tex]\Delta GHI\cong \Delta IJK[/tex] (ASA postulate)

[tex]\angle H\cong \angle J[/tex] (CPCTC)

Hence proved.

solve the right angle trig problem.

Answers

Answer: the answer is 24

Step-by-step explanation: all you need to do is add 38 and 21 which is 66 then subract it by 90 which is the degree size.

Tristan takes 7 quizzes each week. After attending 5 weeks of school this quarter, how
many quizzes will Tristan have taken in total?

Answers

Answer:

35 quizzes

Step-by-step explanation:

7 quizzes for each week of school means that the equation will be

7×5

(7, five times)

7×5= 35

therefore, 35 quizzes done in the quarter

Mark earned $13.50 mowing lawns on Saturday. On Sunday, he spent $6.95 when he purchased a movie ticket. He needed to borrow money from a friend to complete his purchase of a snack. How much money did Mark pay for the snack if he owes his friend $5?

Answers

Answer:

$11.55

Step-by-step explanation:

He spent 6.95 of the 13.5 which means he has 6.55 left. He then borrows 5 more dollars to buy snacks, so 6.55+5=11.55.

Answer:

$11.55

Step-by-step explanation:

hope this helped

Please help! the photo is below

Answers

Answer:

3 x 3 x 3 x 3 x 3

3x3x3x3x3

=243

UwU your welcome

Use the slope formula. What is the slope of a line that passes through the points (3. 12) and (4. 16)? Type the
number

Answers

Answer:

The slope is 4.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=16-12/4-3

m=4/1

m=4

Answer:

I think its m = 1/4

Step-by-step explanation:

subtract 4 from 3 and 16 from 12 and you will get the answer

PLEAAE HELPPPPPPPP I NEED ITTTT PLEASEEE

Answers

Answer:

4. c + b/a

Step-by-step explanation:

ax - b = c (Given)

ax = c + b (Add b on both sides)

x = c + b/a = (Divide a on both sides)

Plz HeLp MeEeEeEe...............

Answers

Answer:

14.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is 3.5

solve asap please help

Answers

Answer:

345

Step-by-step explanation:

The multiplying factor is 100% + 7% = 107% = 1.07

The number of bacteria after 5 months is

246 × [tex](1.07)^{5}[/tex]

≈ 345 ( to the nearest whole number )

Answer:

345 and brainliest pls

Step-by-step explanation:

2.2⋅10^6−4.3⋅10^5
I need help I am confused on the answer.

Answers

1,770,000
find the first part of the equation (2200000) and then the second part (430000) and subtract

HELP REAL QUICK PLEASE!!! ALGEBRAIC INEQUALITIES!!!

Answers

Answer:

i believe the answer is x >3

Step-by-step explanation:

pls brainliest me if it was helpful

Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!

Answers

Answer:

Y=23x-43

Step-by-step explanation:

Distribute 23 to (x) and (-2) = 23x-46

The bring the -3 the other side

Y=23x-43

Need Help please stuck on this one.

Answers

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

Please I need ASAP. First one to answer will get Brainyist.

Answers

Answer:

I'm just here for my points sorry bro

Answer:

1, 2, 3, 4, 2

Are the triangles congruent? and why?
SAS
SSS
AAS
ASA
HL
NOT CONGRUENT

Answers

Answer: NOT CONGRUENT

Step-by-step explanation:

Answer:

They are congruent because of ASA.

Step-by-step explanation:

Since these points are at the same rate, we can safely assume that it is congruent based on these given statements below. It is also ASA because angle B and angle C are mentioned in the given statements and there is a side explanation which is BC and EF which makes them angle-side-angle.

The monthly gross receipts for the ABC Copy Creation house amounted to $20,834.34. Unfortunately the expenses amounted to $18,750.91, but this did give the owner of the company some profit. What was the profit for the month?

Answers

Answer:

the Profit for the month is $2,083.43

Step-by-step explanation:

The computation of the profit for the month is shown below:

Profit for the month is

= Monthly gross receipts - expenses

= $20,834.34 - $18,750.91

= $2,083.43

hence, the Profit for the month is $2,083.43

We simply applied the above formula so that the correct value could come

And, the same is to be considered

ahhhhhhhhhhhh I dont know this

Answers

Answer:

what does it say.........................

Answer:

They can make 10 smoothies

Step-by-step explanation:

15/3cups= 5

5x2=10

so 10 smoothies

if the area of a circle is 98

Answers

Answer:

[tex]7 \sqrt{2} [/tex]

Step-by-step explanation:

given : area =98π

we know area of a circle = π r^2

hence

πr^2=98π { cancelling both π }

r^2=98

[tex]r = \sqrt{98} [/tex]

[tex]r = 7 \sqrt{2} [/tex]

hope it helps

A rug is 6 feet wide and 10 feet long. What is the ratio of the length to the width in simpliest form?

*3:5
*3:8
*5:3
*8:3

Answers

Hey,

Length to width ratio ;

[tex] \frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3} [/tex]

`Sorry if it's wrong

Good luck :)

*BRAINIEST & 25 POINTS*

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

thank u so much dost pls give me extra free point Pls mark as a brilliant pls dost

Which expression is equal to 567.083?
A
(5×100)+(6×10)+(7×1)+(8×100)+(3×1000)
B
(5×100)+(6×10)+(7×1)+(8×110)+(3×1100)
C
(5×100)+(6×10)+(7×1)+(8×1100)+(3×11000)
D
(5×100,000)+(6×10,000)+(7×1000)+(8×10)+(3×1)

Answers

Answer:

the answer is D

Step-by-step explanation:

u just have to add them all up

Jailene is mixing marshmallows and
Rice Krispies to make Rice Krispy
treats. The number of cups of
marshmallows, m, needed for r
cups of Rice Krispy r is described by
the equation r= 1.5m.
How many cups of marshmallows
are needed to mix with 3 cups of
Rice Krispies?

Answers

Answer:

m = 2

Step-by-step explanation:

The number of cups of marshmallows, m, needed for r cups of Rice Krispy r is described by the equation :

r= 1.5m ...(1)

We need to find the no. of marshmallows are needed to mix with 3 cups of Rice Krispies.

Pu r = 3 in equatin (1) :

[tex]m=\dfrac{r}{1.5}\\\\m=\dfrac{3}{1.5}\\\\m=2[/tex]

So, there are 2 cups of marshmallows .

please help due in 3 min

Answers

Answer:

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

Step-by-step explanation:

h(x) = 6-x

h(10) = 6-10

h(10) = -4

So,

h(10)*h(10) = (-4)*(-4)

h(10)*h(10) = 16

The final answer is 16

Answer:

h≤6 that should be the answer

You can buy 5 pounds of grapes for $9.95. What is the cost c if you buy 4 pounds of grapes?

Answers

Answer:

$7.96

Step-by-step explanation:

The equation 9.95/5=x would give you the price of one pound of grapes.

So, now that you have x, you would find out how much it costs if you bought 4 pounds.

4*x=7.96

(x = 1.99)

here give him brainliest

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Answers

Answer:

18 degrees

Step-by-step explanation:

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Solving the above question

1/6 minute = 3 degrees

1 minute = x

Cross y

1/6x = 3 × 1

x = 3 ÷ 1/6

x = 3 × 6

x = 18 degrees

The oven will heat up 18 degrees in 1 minute

find the missing side length

Answers

this is the answer！square root 109

Write the simplest polynomial function for each set of zeros

Zeros = -2, 5, -1

Answers

Answer:

the answer should be y = x^3 - 2x^2 - 13x - 10

Step-by-step explanation:

x = -2 5 -1

x + 2 = 0

x - 5 = 0

x + 1 = 0

f(x) = (x + 2) (x + 1)

x(x) + 2(x) + x(1) + 2(1)

x^2 + 2x + x + 2

x^2 + 3x + 2

f(x) = (x^2 + 3x + 2) ( x - 5)

x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)

x^3 + 3x^2 + 2x - 5x^2 - 15x - 10

x^3 - 2x^2 - 13x - 10

f(x) = x^3 - 2x^2 - 13x - 10

Step-by-step explanation:

this is your answered give me point

Maria has 12 pieces of candy. She ate 1 of the pieces.
How many pieces of candy does Maria have left?

Answers

Answer:

The answer is 6 because 12 divided by 2 is 6 and 6 plus 6 is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/6 of 12=2 12-2=10 ez

Drag each tile to the correct box. A group of marine biologists on a marine expedition recorded the elevations at which they found a few animals, with respect to sea level. Arrange the animals in the decreasing order of the elevations at which the marine biologists found them. sea turtle -502 feet sea urchin -452 feet garden eel -396 feet great white shark -430 feet > > >

Answers

Answer:

Garden eel, Great white shark, sea urchin, Sea turtle

Step-by-step explanation:

Given that:

Animal ____ altitude

Sea turtle __ - 502

Sea urchin __ - 452

Garden eel __ - 396

Great white shark __ - 430

Arranging in decreasing order of elevation :

-396 > - 430 > - 452 > - 502

Hence, the animals can be arranged in decreasing order of elevation thus :

Garden eel, Great white shark, sea urchin, Sea turtle

Answer:

Garden eel, Great white shark, sea urchin, Sea turtle

Step-by-step explanation:

It is the same as the question before it.

What is additive inverse for 23 ?

Answers

Answer:23

Step-by-step explanation:

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

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Oakridge High School has been experiencing an annual decline of 2.2% in enrollment since 1994. In 1994, 3000 students were enrolled. Determine the exponential model that describes the school's enrollment over time. y = 3000(97.8)^x y = 3000(102.2)^x y=3000(1.022)^x Y= 3000(0.978)^x

Answers

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Oakridge High School has been experiencing an annual
decline of 2.2% in enrollment since 1994. In 1994, 3000
students were enrolled. Determine the exponential
model that describes the school's enrollment over time.
y = 3000(97.8)^x
y = 3000(102.2)^x
y=3000(1.022)^x
Y= 3000(0.978)^x