Mathematics High School

This table gives the value of an investment for the first 5 years after the initial investment was made. The data can be modeled using an exponential function.

Years 1 2 3 4 5
Investment value $1,050 $1,103 $1,160 $1,215 $1,280
Based on the data, which amount is closest to the value of the investment 10 years after the initial investment?


$1,350

$1,475

$1,625

$1,800

Answers

Answer 1

Answer:

C.) $1,625

Step-by-step explanation:

Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800

From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear

You can just double 280 and get 560, which the closest answer is 1,625

It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween

$1,625

Answer 2

The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential function that model the problem is:

 [tex]\rm y = ae^k^x[/tex]

Plug x = 1 and y = 1050

[tex]\rm 1050 = ae^k[/tex] ...(1)

Plug x = 2 and y = 1103

[tex]\rm 1103 = ae^2^k[/tex]  ...(2)

Divide equation (2) with (1)

[tex]\rm e^k = 1.0504[/tex]

Taking ln to get the value of k

k = 0.0491

a = 999.69

The exponential function:

[tex]\rm y = (999.6902)e^{0.0491}^x[/tex]

Plug x = 10 years in the above function:

y = $1633.44

Which is close to $1625

Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

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Related Questions

PLEASE HELP!!!!
If u give me the answer I will post another question for u worth ALOT of points just so rn I don't get scammed :(


How would you write the rules for solving fraction expressions?



A)- Addition



B)- Subtraction



C)- Multiplication



D)- Division

Answers

Answer:

multiplication

Step-by-step explanation:

Hopes this helps:

Answer: multiplication

We can multiply two fractions with different denominators, but we cannot add and subtract them.

model the decimal . then write percent and fraction equivalents .0.53

Answers

Decimal

Fraction

Percentage

0.53

53/100

53%

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Answers

Answer:

I don't help ppl who just takes points from ppl with out helping :) Look at the past answers from her.

Step-by-step explanation:

Answer:

4, 7, 9, 12, 18, 32

Step-by-step explanation:

The sign shows that any number that is equal to, or more than, 36 is a valid answer. It can't be 3 because 3 x 9 is 27, and 27 is less than 36, so that wouldn't be true. 4 x 9 is 36, and 36 = 36, so that would be true, and obvoiusly all the other numbers that are over 4, when multiplied by 9, will equal more than 36, so they are all correct, except for the 3 and none answers. I hope this helps you out :)

What can be concluded about a
apply.
cylinder and a cone
cone with the same height and radius measures? Check all that
D The cone has the greater volume.
The cone and cylinder have the
same base area.
The volume of the cone is
3
the volume of the cylinder.
CD The cylinder can fit inside the cone.
The cone and cylinder have the same diameter.

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Answer:

b c e

Step-by-step explanation:

Which is a better estimate for the volume of a paper cup?
A. 12 tablespoons
B. 12 gallons

Answers

12 tablespoons is best for the volume of a paper cup have a good day!

Pls and thanks help me

Answers

she spent 200 minutes

Find the value of x. 120
​

Answers

Answer:

x = 25

Step-by-step explanation:

2x + 70 = 120      {Subtract 70 from both sides}

        2x = 120 -70

        2x = 50      {divide both sides by 2}

          x = 50/2

x = 25

please help me with this question!

Answers

The answer is 8.8

You have to use SohCahToa to figure out the length of AB

1. a circle has a circumfrance 88cm find its radius
2.a sector with angle 45 degrees has ab arc length 44cm find it radius and perimeter speratly
pls answer asap i will give u the brainliest

Answers

Step-by-step explanation:

Number 1

Circumference = 88cm

Circumference = 2πr

2πr = 88

πr = 88/2

πr = 44

22r/7 = 44

22r = (44 × 7)

r = (44 × 7)/22

r = 2 × 7

r = 14cm

Number 2

Length of arc = 44cm

Angle = 45°

L = ∅/360 × 2πr

44 = 45/360 × 2πr

44 = ⅛ × 2πr

44 = ¼ × πr

πr = 44 × 4

22r/7 = (44 × 4)

22r = (44 × 4 × 7)

r = (44 × 4 × 7)/22

r = 2 × 4 × 7

r = 2 × 28

r = 56cm

Perimeter = L + 2r

P = 44cm + 2(56cm)

P = 44cm + 112cm

P = 156cm

A restaurant bill came to food total of $50 you want to leave a 20% tip for the server how much is the total bill

Answers

Answer:

20 percent of 50 is 10

Step-by-step explanation:

I THINK THATS IT I DONT REALLY KNOW

Answer:

$50×.20=10 50+10=$60 the total is $60

Answer All 5 and I will give you brainliest

Answers

Answer: Number 1 is B  Number 2 is D Number 3 is C  Number 4 is D Number 5 is A

Step-by-step explanation:

If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.

Answers

Answer:

12 square units

Step-by-step explanation:

Hope it helps

I will give you brainilest!
In a day care group, nine babies are five months old and 12 babies are seven months old. How many full months from now will the average age of the 21 babies first surpass 20 months old?

Answers

Answer:

15 months

Step-by-step explanation:

in 15 months all of the baby's would have surpassed 20 months old, hope this helps!

Find the area. Answer ASAP pls pls

Answers

Answer:

57.4

Step-by-step explanation:

Hiiioo!!! Can someone please help with this❤️❤️❤️

Answers

Answer:

SSS

Step-by-step explanation:

because the triagles are pretty much the same the one on the left is half of the one on the right

I got similar SAS on mine

Which answer is correct?

9= 4 + 5 and 9 = 2 +7
9 = 5 + 5 and 9 = 6 + 4
9=6+3 and 9 = 7+1
9 = 5 + 3 and 9 = 6 +2

Answers

Answer:

9=4+5, 9=7+2, 9=6+3 are correct

Step-by-step explanation:

For number 2:

If the figures below are similar, give the scale factor to Figure B to A.


PLEASE HELP!!!!!!!!

Answers

Answer:

3is the scale factor and it is similar

Step-by-step explanation:

rewrite the question in slope-intercept form:
2x-4y-12= -13-2x

Answers

Answer:

y= x + 1/4

Step-by-step explanation:

did the math and that should be your answer

PLEASE HELP!! IM BEGGING YOU! ONLY ANSWER IF YOU KNOW AND SHOW YOUR WORK

Answers

Answer: N=25

Solving steps:
2n=50

Divide both sides of the equation by 2

2n\2 =50/2

N=50/2

n=25

Please help me I need all the help I could get ASAP!

Answers

Answer:

The missing value is 10

Step-by-step explanation:

hope this helps, BRAINLIEST PLZ?

Answer:

Step-by-step explanation:

t/9=2/3

t=18/3

t=6 that is for the blank in the truck row

Now we can say

6/9=30/c

6c=9(30)

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Anthony got a shipment of various box sets of albums, but
he doesn't have enough room on his shelves for all of
them. The box sets measure 1 inch, 0.5 inch,
1 inch, 0.5 inch, ž inch, 1
inch, and 1.5 inches. He can only display box sets that
are less than Şinch.

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I’m not really sure but try adding everything you listed together to get your answe

Answer:

ccccccc

Step-by-step explanation:

I don’t understand this A gym has 11 rows of elliptical machines with 13 machines in each row. The gym also has 14 rows of treadmills with 12 treadmills in each row. What is the maximum number of people that can use the elliptical machines and the treadmills at the same time?

Answers

Answer:

311

Step-by-step explanation:

11x13=143

14x12=168

143+168=311

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Answers

Answer:

I think it is orange .......

Answer: Cherry I think

Step-by-step explanation:

5
If x = 4, what is the value of x(14 - x)?
OA
40
OB
44
16
Math

Answers

Answer:

when x=4

the value of x(14 - x)=4(14-4)=4×10=40

Find the equivalent of 2x^2 + (4x -6x^2) + 9 - (6x + 3)


A. -4x^2 - 2x +12
B.-4x^2 -2x + 6
C.-10x +6
D. 18x +12​

Answers

Answer:

B.-4x^2-2x+6.

Step-by-step explanation:

=2x^2+4x-6x^2+9-6x-3.

=2x^2-6x^2+4x-6x+9-3.

=-4x^2-2x+6.

Translate the sentence into an equation.
Seven times the sum of a number and 5 equals 2.

Answers

Answer: 7(x + 5) = 2

Step-by-step explanation:

Use the variable x to represent the number

7(x +5) = 2

Answer:

7(x+5)=2              x= -33/7

Step-by-step explanation:

Find each value or measure. Assume that segments that appear to be tangent are tangent. Find QS

Answers

Answer:

arc QS = 104°

Step-by-step explanation:

arc QTS = 2(128) = 256

arc QS = 360 - 256 = 104°

The measure of arc length QS is 104.

We have,

An inscribed angle is an angle whose vertex is on the circumference of a circle, and its sides are chords of the circle.

From the definition,

Inscribed angle = 1/2 x intercepted arc

Now,

128 = 1/2 x QTS

QTS = 256

Now,

QTS + QS = 360

256 + QS = 360

QS = 360 - 256

QS = 104

Thus,

The measure of QS is 104.

Learn more about arc lengths here:

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The diameter of a circle is 0.82 inches. What is the approximate area of the circle?​

Answers

Answer:

.53

Step-by-step explanation:

your diameter is .82,so divide it by two to get your radius

.82 / 2 = .41

A = [tex]\pi[/tex] r ^2

A = [tex]\pi[/tex] .41 ^2

A = .53

Answer:

0.53

Step-by-step explanation:

14 out of the 25 students passed the quiz. What percent of students passed the quiz ?

Answers

Answer:

56

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

14/25

The number above the bar is the numerator: 14

The number below the bar is the denominator: 25

Divide the numerator by the denominator to get fraction's value:

Val = 14 ÷ 25

Hoped it helped

What is the perimeter of a square whose area is 289 square feet?
A. 17 feet
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Answers

Answer:72.25

Step-by-step explanation:

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