Identify the initial amount a and the rate of growth r (as a percent) of the exponential function f(t) = 1500(1.074)t. Evaluate the
function when t=5. Round your answer to the nearest tenth.
A=
R=%
When t=5, f(5)=

Answers

Answer 1

The initial amount is the first number = 1500

Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%

Replace t with 5 and solve

1500(1.074) ^5 = $2143.45

Answer 2

Answer:

The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.

Step-by-step explanation:

Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.

To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.

f(5) = 1500*(1.074^5)

f(5) = 1500*(1.42896)

f(5) = 2143.45


Related Questions

Someone pls help me with these worksheets >.<



(Please answer properly, if u don't know, just ignore so someone who knows can answer)

Answers

Answer:

gsdddddddddddddddddddddddddddd

Step-by-step explanation:

According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.

Answers

Using relations in a right triangle, it is found that the sine of 23 degrees is given by:

D. 5/13.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:

sin(23º) = 5/13.

Which means that option D is correct.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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Plz help I need help

Answers

Answer :

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

Answer:

x - 23 = -22

x= -45

Step-by-step explanation:

x - 23 = -22

x = -22 - 23

x = -(22+23)

x = -45

Complete the equation of the line whose y-intercept is (0,-1) and slope of 4

y=(answer)

Answers

y=4x-1 is the answer

x2 +

x + 36
Help me lol

Answers

Answer:

x²+12x+36 =0

Step-by-step explanation:

Hii, so I'm assuming your equation is equal to 0-->

x²+_x+36 =0

this could go many ways..

x²+12x+36 =0

which factor to (x+6)(x+6)

x²+15x+36 =0

which factor to (x+12)(x+3)

x²+13x+36 =0

which factor to (x+9)(x+4)

If I had to choose a answer.. I would go with the 1st option x²+12x+36 =0

Hope this helps, if there was more to this question, leave a comment and I can come back and help you ;)

Answer:

Step-by-step explanation:

pleaseeeeeeeeeeeeeeeeeeee help

Answers

Answer:

x|x∈R(all real numbers)

y|y∈R(all real number)

Yes its is

Hope This Helps!!!

what are the relationships between inscribed, central, and circumscribed angles of a circle?

Answers

Answer:

Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2

Step-by-step explanation:

PA BRAINLIEST

what has a fraction in numerator, denominator or both???

Answers

a fraction that has a numerator and a denominator, is called a Complex fraction, i’m not sure if this is what you were asking for though.

Help my first time learning this it’s an easy problem

Answers

Answer:

I don't know but I I would just say C maybe?

Answer:

I say do B

Step-by-step explanation:

B and C look approximately the same but B look smaller

If I’m wrong I’m srry :<

please answer fully/////////////

Answers

Answer:

Step-by-step explanation:

Tear this apart piece by piece

15 -  8 = 7

7 *  3 = 21

11 + 21 = 32

Now so far this much is correct. The problem is the next sign. Is it add or is it divide. The only way to resolve it is to do it both ways.

Add 4

32 + 4 = 36

Divide 4

32 / 4 = 8 1/4 = 8

Answer:

8

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex]\ [11+(15-8)\cdot3]:4=(11+7\cdot3):4=(11+21):4=32:4=8[/tex]

-5/8 - (-4/3)
Pls help

Answers

Answer:

Step 1 of 2: Subtract.  

Subtract

(

negative 5 over 8  

−  

5

8

) − (

negative 4 over 3  

−  

4

3

) =  

17 over 24  

17

24

Step 1 of 2: Subtract, sub-step a: Subtract a negative.  

Subtract a negative

negative 5 over 8  

−  

5

8

− (

negative 4 over 3  

−  

4

3

) =  

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.  

Find common denominator

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

= −

( 5 × 3 ) over ( 8 × 3 )  

5 × 3  

8 × 3  

+  

( 4 × 8 ) over ( 3 × 8 )  

4 × 8  

3 × 8  

=  

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.  

Add

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

=  

(  

negative 15  

−15 + 32 ) over 24  

negative 15  

−15 + 32  

24

=  

17 over 24  

17

24

Answer:

The answer would be 17/24

Step-by-step explanation:

1. Common denominator is going to be 24. 3(-5/8) - 8(-4/3)

2. Next multiply. -15/24 + 32/24

3. After addition you get 17/24 or 0.7

What is 55% of 20?!?!?!

Answers

Answer:

11

Step-by-step explanation:

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

use the method:

is/of and %/100

plug in 55 for the percent, and 20 for 'of'

should be: x/20 and 55/100

cross multiply to get 11.

 

1%of 20 is 0.2 0.2x5=1         5% of 20 is 1

10% of 20 is 2 2x5=10          50% of 20 is 10

1+10=11

That is just how i do it to make it easier for others, and sometimes for me.

Find the equation of a line that passes through the point (2,5) and has a gradient of 2. Leave your answer in the form y = m x + c

Answers

Answer:

y=2x+1

Step-by-step explanation:

y-5/x-2=2

2x-4=y-5

y=2x+1

a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used to determine the hight of the lamp post

Answers

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans

Answers

Answer:

I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.

Answer:

$39.55 for 7 pairs of jeans

Step-by-step explanation:

The LCM of 7 and 4 is 28, so I decided to use that as an example.

4×7=28

22.48×8=179.84

So if you wanted 28 jeans, you'd be paying $179.84

- - - - -

Now the first deal.

7×4=28

39.55×4=158.2

For 28 jeans, you'd be paying $158.20

For 28 jeans, the first choice offers a better deal than the other.

Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example

Grace and Jackie are both accountants. They each charge their customers an hourly fee for their service, as described below. Grace charges $540 for 18 hours of service. Jackie charges $40 per hour. Who charges more per hour?

Answers

Answer:

Jackie

Step-by-step explanation:

Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.

The cost of a trailer decreases in value by 25% What is the cost of the trailer if it was initially bought for $125 b $250 C. $375 d. $750 e x dollars ​

Answers

Answer:

the answer isn't there, but the answer is $93.75

Step-by-step explanation:

An airline finds that if it prices a cross-country ticket at $300, it will sell 400 tickets per day. It estimates that each $10 price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.

Answers

Answer:

price = $190

quantity =  950 tickets

Step-by-step explanation:

revenue = price * quantity

n = number of $10 price reductions

price = 300 - 10n

quantity =  400 + 50n

r = (300 - 10n)(400 + 50n)

recognize these as the factors of a quadratic that opens down

the vertex will therefor be the maximum revenue

the roots are:

300 - 10n = 0

300 = 10n

n = 30

400 + 50n = 0

50n = -400

n = -8

vertex is at mid point of the roots

n = (-8 + 30)/2

n = 11

price = 300 - 10n

price = 300 - 10(11)

price = 190

quantity =  400 + 50n

quantity =  400 + 50(11)

quantity =  950

Please take a look at the picture

Answers

Answer:

A) -3/-11

Step-by-step explanation:

-3/-11-3/11

-3/-11

Reduce the fraction with -1.

3/11

Hope this help :)

4. Sale of Mathematics and English books in the year 2005, 2006, 2007 and 2008 are given below : Years Mathematics English 2005 200 100 2006 300 250 2007 400 200 2008 500 500 Question 1. In which year is the difference in the sale minimum? (a) 2008 (b) 2007 (c) 2006 (d) 2005 Question 2.​

Answers

Step-by-step explanation:

2008because there is no difference between the number of sold notebooks

Consider the figures below. Which of the following statements are true, given <S is congruent to <J and <N is congruent to <E? Select all that apply.

<A is congruent to <O

Triangle SAN~TriangleJOE

Triangle SAN is congruent to Triangle JOE

SN is congruent to JE

The perimeter of Triangle JOE is half the perimeter of Triangle SAN

There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN

There exists a sequence of rigid and non-rigid motions that maps Triangle SAN onto Triangle JOE

Answers

Answer:

<A is congruent to <O

Triangle SAN~TriangleJoe

There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN

Step-by-step explanation:

So sorry if i am wrong!! I hope this can help!

Answer:

A

B

G

Angle A is congruent to angle O

Triangle SAN ~ Triangle JOE

There exists a sequence of rigid and non-rigid motions that maps triangle SAN onto triangle JOE

Step-by-step explanation:

Just got the question wrong, this was the correct answer

Relatively Simple Math, pls lend a hand. 50 points and Brainliest

Answers

I think the answer is A

Answer:

B. 192 miles in 3 hours

Step-by-step explanation:

Mr. Anderson's rate is:

480 / 7.5 = 64 mph

Given options, find rates and compare with the above number:

A. 120/2 = 60 mph, NoB. 192/3 = 64 mph, YesC. 100/1.5 = 66.66 mph, NoD. 240/3.25 = 73.85 mph, No

2.
Use the quadratic model y = -4x^2 + 8x + 8 to predict y if x equals 100.

A. 39,208

B. –40,792

C. –39,192

D. 40,808

Answers

Answer:  I can't find the answer :(

Step-by-step explanation: :(                                                                                                  

Answer:

-4*100^2 + 8 *100 + 8

-4 * 100^2 + 800 + 8

-4 * 10000 + 808

-40000 + 808

= -39192

-39192 is the answer

Step-by-step explanation:

help me out guys I don't get this ?!​

Answers

Answer:

B: (-2,-3)

Step-by-step explanation:

The problem basically wants you to find the vertex because that is the turning point of an absolute value graph where the slope goes from negative to positive immediately. B is the best choice because the vertex is translated 2 to the left and 3 down.

Find the missing measurements

Answers

Answer:

O = 16.7 degrees

A = 73.3 degrees

Step-by-step explanation:

used a triangle calculator

Which of the following is the graph of f(x) = |x|?

Graph 1
Graph 2
Graph 3
Graph 4

Answers

Answer:

i think its the second graph

Step-by-step explanation:

Rewrite as equivalent rational expressions with denominator (c- 9) (c+9)(c + 6):

Answers

Answer:

Step-by-step explanation:

as (c + 9)(c - 9) = c² - 81

and (c - 9)(c + 6) = c² - 3c - 54

    8(c + 6)        =         8c + 48        

(c² - 81)(c + 6)       (c - 9)(c + 9)(c + 6)

            10c(c + 9)     =     10c² + 90c        

(c² - 3c - 54)(c + 9)       (c - 9)(c + 9)(c + 6)

The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;

1.  8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are,

1. 8 / (c² - 81)

2. 10c / (c² - 3c - 54)

Now,

Solve the expressions for the denominator (c- 9) (c+9)(c + 6) as;

1. 8 / (c² - 81) = 8 / (c² - 9²)

                   = 8 / (c + 9) (c - 9)

Thus, 8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c² - (9- 6)c - 54)

                               = 10c / (c² - 9c + 6c - 54)

                               = 10c / [c(c-9) + 6(c - 9)]

                               = 10c / (c + 6) (c - 9)

Thus, 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

Therefore, The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;

1.  8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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please answer fully///////////////

Answers

I think it’s 14

I hope you have a wonderful day!

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

Tara's pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards in the pool? Show your work.

Answers

1 yard = 3 feet 3 x 50 = 150 ft. L x W = Area

150’x 20’ = 3,000 sq. ft. 3,000 sq ft. divided by 3 = 1,000 sq. yd.

Which expression is equivalent to 4 (5X + 3y)

Answers

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

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