If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.

Answers

Answer 1

Answer:

The answer is "3107.75".

Step-by-step explanation:

[tex]\text{Rate of inflation} = \frac{3.4 \%}{year}[/tex]

[tex]\to p(t)= 2500 (1.022)^t[/tex]

when t= 0  

[tex]\to p(0) = 2500(1.022)^0[/tex]

           [tex]= 2500 \times 1\\\\= \$ 2500[/tex]

When t=10

[tex]\to p(10)=2500(1.022)^{10}[/tex]

             [tex]= 2500 \times 1.2431\\\\= 3107.75[/tex]


Related Questions

During the 2013 Major League Baseball season, a home run over the left field wall typically reached a maximum height of 81 feet, and would have traveled a distance of 378 feet from home plate. Assuming the average batter hits the ball three feet from the ground, write a function for the trajectory of the average home run.

Answers

Answer:

The Green Monster is a popular nickname for the 37-foot-2-inch-high (11.33 m) left field wall at Fenway Park, home to the Boston Red Sox baseball team. The wall is 310 feet (94 m) from home plate and is a popular target for right-handed hitters.

Step-by-step explanation:

can some one help me with this answer?

Answers

Answer:

30

Step-by-step explanation:

Answer:

Its 30

Step-by-step explanation:

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Which of the following are point-slope equations of the line going through
(-2,-2) and (2, 1)? Check all that apply.
A. y+2 =3/4 (x+2)
B. y-2 =-3/4 (x-1)
C. y-2 = 3/4(x-2)
D. y+2 = -3/4(x + 2)
E. y-1 =-3/4 (x - 2)
F. y-1 =3/4 (x-2)

Answers

The point-slope equation is...
y-y1=m(x-x1)
m=slope
To complete point-slope formula, we would input one set of coordinates.
(-3, 4) and (2, 1)
FIRST SET...
y-4=m(x--3)
y-4=m(x+3)

SECOND SET
y-1=m(x-2)

I am having a hard time interpreting your pasted copy of the possible answers. However, I can see that the slope is considered negative in all but the last answer.
Slope is defined as change-of-y divided by change-of-x...
m=(y-y1)/(x-x1)
(-3, 4) and (2, 1)
m=(4-1)/(-3-2)
m=3/-5
m=-3/5
It is a negative number. Yo

Please solve using dimensional analysis

Answers

Answer:

34^23 (that is 34 to the 23 power)

Step-by-step explanation:

Do 3.4x10^23=34^23

An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?

9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!

Answers

Answer:

5.2

Step-by-step explanation:

I took the Quiz.

If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Based on the given conditions formulate 1.25÷10=1+x

If the fraction is defined, the denominator cannot equal 0,x≠0

Append the inequality as the domain x≠0

Multiply both sides by the common denominator:

1.25×10x/10=10x/x

Reduce the fractions: 5x/4=10

5x=40

x=8

It is approximately near to 8.13 inches.

Hence, 8.13 inches high is the roof in the drawing.

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Which of the following graphs best represents y=(x+1)(x-4)

Answers

The answer is D. The x-intercepts are (4,0) and (-1,0), and the graph is positive. The x-intercepts in B are flipped to trick you.

Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work

Answers

Answer:

Not equivalent.

Step-by-step explanation:

The given equations are :

7v-3/2=5 ....(1)

14v-3=15 ....(2)

Taking equation (1) first,

7v-3/2=5

Adding 3/2 to both the sides.

7v-3/2+3/2=5+3/2

7v = 6.5

v = 0.928

Taking equation (2).

14v-3=15

Adding 3 to both sides.

14v-3+3=15+3

14v=18

v = 1.285

So, the values of v in both equations ar not the same. It means two equations are not equivalent.

Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?

Answers

Answer:

1/3

Step-by-step explanation:

6x=2

x= 1/3

Answer:

1 kilo takes 20 minutes

Step-by-step explanation:

6kilo in 2hrs

3kilo in 1 hr

1hr = 60min

3kilo/3 = 1 kilo

60min/ 3 = 20 min

1 kilo * 6 = 6kilo

20min * 6 = 120min ( 2 hours )

please help

Evaluate the quotient of 1.05 x 10^3 and 1 x 10^3

1.05 x 10^ -6

1.05 x 10^ 9

1.05 x 10^ 6

1.05 x 10^ 0

Answers

Answer:

Answer: 1.05 x 10^ 0

Step-by-step explanation:

Scientific Notation

Evaluate the expression:

[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}[/tex]

Divide the coefficients, copy the base, and subtract the exponents:

[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}=\displaystyle \frac{1.05}{1.00}\cdot 10^{3-3}[/tex]

Operating:

[tex]\displaystyle \frac{1.05\cdot 10^{3}}{1\cdot 10^{3}}=\displaystyle 1.05\cdot 10^{0}[/tex]

Answer: 1.05 x 10^ 0

Solve for X:
9x - 3- &r=7-X

Answers

Answer:

9x-3-&r=7-X

Taking 7 to the left side of the equation,we have

9x-3-&r-7=-X

Multiplying through by -1 we have -1(9x-3-&r-7)=-1(-X)

which is -9x+3+&r+7=X

Therefore X= 7+&r+3-9x

You are given the following information about y and x.
Y X
Dependent Independent
Variable Variable
5 15
7 12
9 10
11 7
Question: The least Squares of b1 equals?
a.) -0.7647
b.) -0.13
c.) 21.4
d.) 16.412
Question: The least squares estimate of bO equals?
a.) -7.647
b.)-1.3
c.) 21.4
d.) 16.41176
Question: The sample correlation coefficient equals
a.)-86.667
b.)-0.99705
c.0.9941
D.0.99705
Question: The coefficient of determination equals
a.) -0.99705
b.)-0.9941
c.)0.9941
d.)0.99705

Answers

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

i need help! please....

Answers

Answer: the elapsed time is 3 hours and 45 minutes, so option C.

8x + y = 17
5x + 5y = –20

Answers

Answer:

X=3 Y=-7

Step-by-step explanation:

You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x

Then substitute y in the bottom equation for the y solved in the top. So,

5x + 5(17-8x) = -20

Then solve for x

x=3

Now that we know x, plug it back into the equation for y

y = 17 - 8(3)

y = -7

So your solution is (3, -7)

Answer:

Step-by-step explanation:

40x + 5y = 85

-5x - 5y = 20

35x = 105

x= 3

15 + 5y = -20

5y = -35

y = -7

(3, -7)

Slope-Intercept Form of 3x – 4y – 16 = 0

Answers

Answer:

Y= 3/4x - 4

Step-by-step explanation:

Hey there!

The answer to your question is y = 3/4x - 4

We have to solve for y:

3x - 4y - 16 = 0

3x - 4y = 16

-4y = -3x + 16

y = 3/4x - 4

Hope it helps and have an amazing day!

Han checks with another bank and their interest rate is 4%. Based on your answer in question 4, how much longer will he have to leave his money in the account to earn the same amount of interest as the first bank?

Answers

Answer:

Does Anyone Know how to do this?

Step-by-step explanation:

HELP PLS ASAP 50 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143

Answers

Answer:

45

Step-by-step explanation:

[tex]3(5)(2 \times 5 - 7) \\ 15(10 - 7) \\15 \times 3 = 45[/tex]

c. 45

3(5)(2x5-7)
15(10-7)
15x3=45

if KL = LM and KJ = JM, find m ∠KJL

please, i really need your help!

Answers

The triangles are congruent by SAS, so the two angles with 7x and 3x+16 are equal. So

7x=3x+16
4x=16
x=4

So KJL=7(4)=28.

Plz help. I rally need it

Answers

Answer:

8

Step-by-step explanation:

5k + (-7) = 13 what does k =

Answers

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5k + (-7) = 13

Step 2: Solve for k

Simplify equation:                             5k - 7 = 13Addition Property of Equality:          5k - 7 + 7 = 13 + 7Simplify equation:                             5k = 20Division Property of Equality:           5k/5 = 20/5Simplify equation:                             k = 4

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                    5(4) + (-7) = 13Multiply:                               20 + (-7) = 13Add:                                     13 = 13

Here we see that 13 does indeed equal 13.

∴ k = 4 is the solution to the equation.

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

5k+(-7)=13  Equation/Question

Step 2

5k+(-7)=13  Remove parenthesis

5k=20

Step 3

5k=20  Divide 5 from the sides             Check (5)(4)=20

answer

4

1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Length of LM ( Perpendicular )

[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]

[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]

⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]

⤑ [tex] \sf{ \sqrt{36}} [/tex]

⤑ [tex] \boxed{ \sf{6\: units}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The following are house prices in Southern California:

$700.000 $580.000 $600.000 $580.000 $800.000 $760.000 $780.000

What is the median house price?

$700.000

$750.000

$685.000

$580.000

Answers

Answer:

The median would be $700.00 dollars

The mean would be $685.71 dollars

The mode would be $580.00 dollars

Step-by-step explanation:

    May I have brainiest please I'm trying to level up!

                    </3 PureBeauty

Answer:

/Its $700.000

Step-by-step explanation:

its the middle number

I will give brainiest to whoever answers correctly !!

Answers

His money will stay the same

The area of a rectangular skate park is 6/11 square miles. The length of the
skate park is 3/5 mile. What is the width, in miles, of the park?*

Answers

Answer:

The answer to your question is 150 ft

Process

1.- Find the area of the city skate park

2.- Find the equation of the area of the new city skate park.

3.- Find the value of "x",

1.-  Area = length x width

   Area = 100 x 50

            = 5000 ft²

2.-    (100 + x) /50 + x) = 15000

       x² + 150x + 5000 = 15000

       x² + 150x + 5000 - 15000 = 0

       x² + 150x - 10000 = 0

      Factor the equation

      (x + 200)(x - 50) = 0

       x₁ = -200     x₂ = 50       Length can not be negative so the answer is

                                              50.

      New length = 100 + 50 = 150 ft

A water tank is 90 m long and 60 m wide. What is the
volume of the water in the tank if the depth of water is
40 m?

What’s the answer ??

Answers

Answer:

216000 m^3

Step-by-step explanation:

Volume of water

= length of tank x width of tank x depth of water

= 90(60)(40) m^3

= 216000 m^3

216,000 m^3
just multiply l•w•d
90m•60m•40m

Hey please help me! (12 points)

Answers

Answer:

10

Step-by-step explanation:

5×10= 50

6×10=60

8×10=80

so its going by ×10

Answer:

C/10

Step-by-step explanation:

k=y/x

10=50/5

Help me answer, please.

Answers

TWENTY FIVE TWENTY SIX that’s my answer I hope this help

The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company?

Answers

Answer:

Step-by-step explanation:

4:7::4x:7x

4x+7x=231

11x=231

x=231/11=21

women=7x=7×21=147

Please solve thank you if so

Answers

Answer:

5(3) + i = 30

15 + i = 30

Step-by-step explanation:

It’s 30 because multiply

mr. jones asks his students to generate the next two numbers in the sequence

Answers

Answer:

7 0

Step-by-step explanation:

The next two numbers of the series is 27.5 and 44.

What is sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The complete question is:

Mr. jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, .... taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44. which best explains which student is correct?

Given AP = -5.5, 11, ...

a = 5.5

d= 11 - (-5.5) =16.5

Now, a₃ = a₂ + d

a₃ = 11 + 16.5

a₃ = 27.5

and, a₄ = 27.5 + 16.5

a₄ = 44

Now, Taquan case:

a = -5.5

r = 110/-5.5

r = -2

now, a₃ = -2(11) = -22

a₄ = -2(-22) = 44

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d. If you had a block of each type of wood with the same dimensions, how would their weights compare? Explain.

Answers

Answer:

They would be the same dimensions so the weight should also be the same. For example if you have 3 rectangle boxes dimesions are 4 by 8, let's say the box weighs 32 pounds, then  the other two boxes will weigh the same amount too because it is the same dimensions. This is only true for if the same thing is inside each box of, course if there is a toy in one box, a 50- pound weight in the other box, and a steak in the last box, yeah all the boxes will weigh different.

Step-by-step explanation:

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