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

Help me with this answer please​

Answers

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

The points in the table lie on a line. Find the slope of the line

Answers

Answer:

click the button and use it as and use it

the slope would be 4

3. If Superman can fly .25 miles in 8 seconds, how far could he fly in...
(a) 40 seconds?


Answers

Answer:

1.25 miles

Step-by-step explanation:

0.25 miles = 8 seconds

x miles = 40 seconds

0.25/8 = x/40

0.25 * 40 = 8x

10 = 8x

x = 1.25

-Chetan K

1.
All the sides of a triangle are the same length. If their lengths are 6 cm, what is the perimeter?

Answers

Answer: 6

Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.

A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes​

Answers

Answer:

  $12

Step-by-step explanation:

Jane's commission is the product of sales and her rate.

  commission = (20)($4.00)(0.15) = $12.00

Jane's commission is $12.00 if she sells 20 boxes of pencils.

Answer: 3x10^2 mi

example:

Answers

Answer:

3000

Step-by-step explanation:

Answer:

300

Step-by-3step explanation:

Can some help please

Answers

Answer:

9×10^16

Step-by-step explanation:

Only if the power is the same, you can just add the first numbers

You just need to combine.

The rule (a) = a tells us we can just remove the parenthesis.

2*10^16 + 7*10^16

That would equal to 9 x 10^16 because when adding exponents, you keep them the same.

solve pls brainliest

Answers

2/6 should be the answer

Answer:

1/3

Step-by-step explanation:

43=8c-5 what is the value of c in this equation

Answers

Answer:

Move all terms that don't contain c to the right side and solve.

c = 6

Step-by-step explanation:

help any body plzs i will give brianlyest

Answers

[tex]1 \: month = \frac{4200}{3} \\ = 1400 \: bottles[/tex]

- BRAINLIEST answerer

What is 6/9 divided by 1/3

Answers

Answer:

2

Step-by-step explanation:

6/9÷1/3

Keep Change Flip

6/9 x 3/1

Multiply.

6/3

=2

Hope this helps :)

Answer:

2

Step-by-step explanation:

we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2

select the two values of x that are roots of this equation 3x^2 + 1 = 5x

Answers

Answer:

[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]

Step-by-step explanation:

[tex]3x { }^{2} + 1 = 5x[/tex]

[tex]3 {x}^{2} - 5x + 1 = 0[/tex]

Apply the quadratic formula with a=3, b=-5 and c=1

a line has a slope of -19/8 and passes through the point (0,12). what is its equation in slope intercept form​

Answers

Answer:

y=-19/8x+12

Step-by-step explanation:

Slope intercept form is

y=mx+b

m is slope

b is y-intercept

So we already know what the slope is so we can plug that in

y=-19/8x+b

Now  with the point we can substitute x and y with the point values

[Remember a point is (x,y)]

0 is x

12 is y

12=b

So the slope intercept form of this is

y=-19/8x+12

Hope this helps!

geomtry plzzzz help 15 points

Answers

Answer:

True.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.

Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current

Answers

Answer:

3 miles/hour

Step-by-step explanation:

Well, we already know that the speed at which he paddles is 6 miles/hour

Since his net speed while going down stream is his speed plus the current's speed, here's what we have:

NetSpeed = HisSpeed + CurrentSpeed

Replace the values we already know:

9 = 6 + x

X = 3 miles/hour

An equation that can be used to find the speed of the current is,

4 = 9/(4 - x) + 9/(4 + x).

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Ricky paddles his canoe at a rate of 6 miles per hour in still water.

Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.

The trip took him 4 hours to complete.

The downstream rate = 4 + x

And the upstream rate = 4-x.

Then an equation can be used to find the speed of the current is,

4 = 9/(4 - x) + 9/(4 + x)

Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).

To learn more about the speed;

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Let
f
and
g
be defined by
f
:
x

3
x

1
)

a
n
d
\(
g
:
x

2

5
x
. Find
f
o
g
(
2
)

Answers

Answer:

Solution

verified

Verified by Toppr

f,g:R→R is defined as

f(x)=x+1

g(x)=2x−3

Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2

∴(f+g)(x)=3x−2

Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4

∴(f−g)(x)=−x+4

(

g

f

)(x)=

g(x)

f(x)

,g(x)

=0,x∈R

∴(

g

f

)(x)=

2x−3

x+1

,2x−3

=0 or 2x

=3

∴(

g

f

)(x)=

2x−3

x+1

,x

=

2

3

figure b is a scaled copy of figure a

Answers

Step-by-step explanation:

figure B is a scaled copy of figure B

by scale factor : 1/2

A line that passes through the points (12,12) and (20,6)

Answers

Answer:

8,48 I think

Step-by-step explanation:

I subtracted them from each other

The required equation of the line is given as y = -6x / 8 + 21.

Given that,
A line that passes through points (12,12) and (20,6)

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
Standard equation of the line,

y -y₁ =(y₂ - y₁) /  (x₂ - x₁) (x - x₁)

Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21

Thus, the required equation of the line is given as y = -6x / 8 + 21.

Learn more about slopes here:
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which function is equivalent to f(n)=(n+2)^2+n^2-4

Answers

f = (n+2)^4 / n
i hope this helps .

y/x dy/dx=(1+x^2)^-1/2(1+y^2)^1/2

Answers

Answer:

(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c

Step-by-step explanation:

This is separable.

Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:

y/(1+y)^(1/2)=(1+x)^(-1/2) x dx

Using law of exponents to get rid of negative exponent by finding reciprocal:

y/(1+y)^(1/2)=x/(1+x)^(1/2) dx

Let u=(1+y)^(1/2).

Then u^2=1+y.

Differentiate: 2 u du=dy

[Let v=(1+x)^(1/2).]

Plug in our substitution:

(u^2-1) 2u du/u=(v^2-1) 2v dv/v

Simplify:

(u^2-1) 2 du=(v^2-1) 2 dv

Integrate both sides:

(u^3/3-u) 2+L=(v^3/3-v) 2+K

Divide both sides by 2:

u^3/3-u +L/2=v^3/3-v+K/2

K/2-L/2 is just a constant value C:

u^3/3-u=v^3/3-v+C

Use substitution again to put back in terms of x and y:

((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C

Simplify the exponent part a bit:

(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C

I don't like the division by 3 so multiply both sides by 3:

(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C

3C is still just an unknown constant, c.

(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c

What are 5 rules to follow in a science lab?

Answers

Answer:

Step-by-step explanation:

1. Wear safety glasses

2. Be accompanied by an adult

3. Wear proper lab clothing

4. Alert Lab instructor if an accident were to happen

5. Follow all instructions given by lab instructor

Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.

The CGPA of this student is: __________

Answers

Answer:

probably about 3.5

Step-by-step explanation:

The table shows two ways to mix red paint and white paint to make the same shade of pink. How many cups of red paint should be added to 1 cup of white paint to make the same shade of pink?​

Answers

This is the answer which is not right because this is for points...


Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table

Find the side lengths of triangles def ghi and jkl record them in the table

Answers

DEF 8 10 14
GHI 12 15 21
JKL 2 5/2 7/2

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

Answers

Answer:

yes,the distributive property can be rewrite as i have given below:

(8×8)-(8×4)

if you get it right ill mark brainliest​

Answers

Answer:

Step-by-step explanation:

? i cant see what the page is

The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)

Answers

The statement is true: the area under the graph line made with the x-axis

represents the change in position of the object on a velocity versus time

graph.

Reasons:

[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]

The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.

A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.

Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.

Learn more here:

https://brainly.com/question/18910091

Answer: True

Step-by-step explanation:

Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.

Answers

9514 1404 393

Answer:

  8,500 units

Step-by-step explanation:

The contribution margin from each unit is ...

  $185 -121 = $64

To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...

  ($416,000 +128,000)/($64/unit) = 8,500 units

Rest of the options

Answers

Yep, it's C. The answer is C

75 is what percent of 150

Answers

Question:

75 is what percent of 150

Explanation:

Percentage Calculator:75 is what percent of 150=50

Answer:

50

Answer:

75 is 50 percent of 150.

Step-by-step explanation:

This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.

There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.

If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)

We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.

After that you will find that the equation shows the value x = 50. You have now found the value of x.

I hope this helps :)

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