15 points and BRAINLIEST Alyssa invested $500 into an account. The value of the account after t years can be found using the function r(t) = 500(1.068). What is the percent annual rate of change
in the value of the account?

Answers

Answer 1

Answer:

annual rate: r = 0.068

Step-by-step explanation:

The formula is r(t) = P(1+r)^t

Since the time is already in years we just have to solve for the rate

1 + r = 1.068

r = 0.068

Answer 2

The rate of change in the value of account is 0.068

What is rate of change?

'Rate of change is used to mathematically describe the percentage change in value over a defined period of time.'

According to the given problem,

Annual rate:

r = 0.068

The formula is r(t) = [tex]P( 1 + r )^{t}[/tex]

Therefore, solving for the rate

⇒ 1 + r = 1.068

⇒ r = 0.068

Learn more about rate of change here: https://brainly.com/question/14418346

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Related Questions

How many solutions does the following equation have?
4(5 - 2v) =4 - 8(v-2)
2)
(A) 1 solution
(B) No solutions
(C) Infinite Solutions

Answers

ANSWER

C. Infinite Solutions

Explanation- graph/plug in the two equations into a graphing calculator ( desmos is a good app )

Solve the equation for all real solutions:
16n^2-10n-5=6n

Answers

Answer:

5/4 and - 1/4

Step-by-step explanation:

16n^2-10n-5=6n

16n^2-16n-5=0

(4n+1)(4n-5)

4n=-1        4n=5

n= -1/4  n= 5/4

What is the total surface area of the jewelry box?

22 square feet
10 square feet
14 square feet
6 square feet

Answers

The answer is 6 square feet, HAPPY HOLIDAYS

Carol harvests berries in the forests of Washington and then sells them to local restaurant chefs. The value of the berries depends on their weight. Which is the dependent variable?

Answers

9514 1404 393

Answer:

  value of the berries

Step-by-step explanation:

The statement "value of the berries depends on ..." means the dependent variable is "value of the berries."

For the problems 29-32, use () 5 6 fx x =+ and 2 () gx x x =+ .

Answers

Answer:

AZSXDCFVGBHNUIJMO,

Step-by-step explanation:

XECRVTBYNUMI,OP.[

pleaseeee help pleaseee

Answers

Step-by-step explanation:

you can do it using the formula of ratio

Answer:

large dogs = 32

Step-by-step explanation:

small dogs to large dogs = 4: 3

total ratio = 7

large dogs = 4/7

total dogs = 56

large dogs = 4 x 56

                     7

large dogs = 32

What is the value of 0? ​

Answers

Answer:

[tex]\huge\boxed{\sf \theta = 36.9\°}[/tex]

Step-by-step explanation:

[tex]\sf cos \theta = adjacent/ hypotenuse\\\\where \ adjacent = 4 , hypotenuse = 5\\\\cos \theta = 4 / 5\\\\cos \theta = 0.8\\\\\theta = cos^{-1} 0.8\\\\\theta = 36.9\°\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

WILL GIVE BRAINLY TO FIRST
Question 5 of 17
Which steps show how to use the distributive property to evaluate9 - 67?
O A. 9(67) = 9(70 - 3) = 9 . 70 +9-3 = 630 + 27 = 657
O B. 9(67) = 9(70
OC. 9(67) = 9(70 – 3) =9 .70 – 3 = 630 - 3 = 627
OD. 9(67) = 9(70– 3) = 9.70- 70 3 = 630 - 210 = 420
3) =9.70 -93= 630 -27 = 603

Answers

b.) 9x67 is 203 and the only 203 is b

Given the points (2, 4) & (-1,-5), what is the equation of the line?

Answers

Answer:

y =1 /3 x + 14 /3

Step-by-step explanation:

While taking a ride in a hot-air-balloon in Napa Valley, Francisco wonders how high he is. To find
out, he chooses a landmark on the ground that is to the east of the balloon and measures the angle of
depression to be 54°. A few minutes later, after the balloon floats horizontally 100 feet east, closer to the
landmark, the angle of depression to the same landmark is determined to be 61°. Determine the height h
of the balloon. Round your answer to the nearest tenth.

a) Find the measures of ∠1, ∠2, ∠3 and ∠4:

∠1 = ________ ∠2 = ________
∠3 = ________ ∠4 = ________
b) Solve for the height of the balloon, h. You may use any
appropriate method but must show your work!

Answers

Answer:

uttujtjtjtjtjjtjtjtjjttjjtjtjtjtjjt

need help math question​

Answers

My answer is 8 . Please check the answer.

which number line show the solution of 2x - 8 > -4

Answers

Answer:

x=2

Step-by-step explanation:

What is the circumference of the circle below?

Answers

Answer:

Step-by-step explanation:

circumference C=2*3.14*r

C=2*3.14*18m=113.04 m

Answer:

113.04 meters.

Step-by-step explanation:

Use the formula

2 times pi times r

r=radius of the circle

or Pi times D

d= diameter of the circle.

The radius is 18 meters.

So, do 2 times 18 times pi.

Geometry - Unit 4 - Lesson 8

Answers

Answer:

Ok

Step-by-step explanation:

Ok

i need help
this is due today at 4

Answers

Answer:

Hi The Answer is A.

Step-by-step explanation:

The Answer is A Because of the funter travel of the X.

x*y=z

Hope This Helps.

:)

My name is John henry.

C......................... to

Helpplll!!!:.me outttt

Answers

i believe it is a function

Answer:

Not a function

Step-by-step explanation:

Do the vertical line test. If the line only goes through a point once it's a function. If it goes through more that once it is not a function.

Hope this helps!!

What is the measurement of

Answers

y= 53°
Hope this helps and good luck u can do this

2. Water bottles are sold in cases of
24. Select the expressions that can
represent the total number of water
bottles in c cases.
24 XC
24 = 0
24 + c
24 – C
24c

Answers

72 because If you do times equal that amount and 35

The equation C=54d+ 20 can be used to find the cost, c, in dollars, of renting
a car for a certain number of days, d. What is the rate of change of the cost in
dollars with respect to the number of days?
A.30
A $2.70 per day
B
$20.00 per day
с
$54.00 per day
D$74.00 per day

Answers

Answer:

C. $54.00 per day.

Step-by-step explanation:

54 is the amount you will pay every day so the rate of change will be $54.00 per day.

what is inverse function of f(x) = -3x+27

Answers

Answer:

y=9-x/3

Step-by-step explanation:

swap the variable y=27-3x becomes x=27-3y

now solve the equation x=27-3y for Y

y=9 - x/3

and done:)

HOPE IT HELPS ♡

WILL MARK BRANLIEST IF GOTTEN RIGHT

Answers

Answer:

1. Angles 2 and 5.

Step-by-step explanation:

Vertical angles are the angles that are opposite each other when two straight lines intersect.

Answer:

angle 2 and angle 5

Step-by-step explanation:

can someone help me !

Answers

B Is the answer ......... z

What is the X intercept, Y intercept, equation and slope of (-9,0), (0,3) ​

Answers

Answer: x= -9 y= 3

Step-by-step explanation:

PLEASE HELP

Write the equation of the line that is perpendicular to y = 3x - r and that has the same y - intercept .

WILL MARK BRAINLIEST

Answers

Answer:

y= -(1/3)x -r

Step-by-step explanation:

a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.

In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.

The problem states the line has the same y-intercept so it has to still be -r.

So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r

rewrite 6x - 5 in standard form

Answers

Answer:

I'm pretty sure the answer is still 6x-5.

Step-by-step explanation:

A shop sells flower fertiliser in 25kg bags and in 50kg bags.
One week, the shop has two special offers for the fertiliser.
Offer A:
Offer B:
25 kg
50 kg
2 bags for £35
3 bags for £92.50
Which offer (A or B) is the best value for money?
You must show how you get your answer.​

Answers

Offer A is correct sir

Step-by-step explanation:

!

What is 72 Divided by 2= ??

Answers

Answer:

72 / 2 = 36

Step-by-step explanation:

Look at 7 first and figure out how many times 2 will go into 7. 2 will only go into 7 three times. (2 x 3= 6) So put 3 at the top of your division problem and subtract 6 from 7. You should get 1. Then, bring down your 2 to make that one a 12. How many times will 2 go into 12? 6 times. 6 x 2 equals 12 so put 6 at the top of your division problem next to that 3. Subtract your 12 from 12 to get 0. Your final answer would be 36.

Hope this helped!

The division of 72 and 2 is 36.

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

The given numbers are 72 and 2.

72 divided by 2

Here, 72/2

Where, 72 is dividend and 2 is divisor.

72/2 = 36

So, quotient is 36

Therefore, the division of 72 and 2 is 36.

To learn more about the division visit:

brainly.com/question/1575906.

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A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water? (1 point)

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

Answers

Answer:

The correct ordered pairs are:

{(1, 6.7), (2, 6.4), (3, 6.1)}

Option A is correct.

Step-by-step explanation:

A watering can dispenses water at the rate = 0.3 gallon per minute

The original volume of water in the can = 7 gallons.

Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?

First making the function:

The the volume of water in the can in gallons is represented by y and  time in minutes is represented by x. Initially the volume is 7 gallons, after than water dispense at rate of 0.3 gallon per minute so, the function will be:

y=7-0.3(x)

Now, putting values to find ordered pairs

So, when time is 1 minute i.e x = 1

y=7-0.3(1)

y=7-0.3

y=6.7

So, when x=1, y=6.7 the ordered pair is: (1,6.7)

when time is 2 minutes i.e x = 2

y=7-0.3(2)

y=7-0.6

y=6.4

So, when x=2, y=6.4 the ordered pair is: (2,6.4)

when time is 3 minutes i.e x = 3

y=7-0.3(3)

y=7-0.9

y=6.1

So, when x=3, y=6.1 the ordered pair is: (3,6.1)

So, the correct ordered pairs are:

{(1, 6.7), (2, 6.4), (3, 6.1)}

Option A is correct.

VIRAL MATH PROBLEM
6÷2(1+2)=

Answers

the answer to it is 9

Answer:

9

Step-by-step explanation:

6 ÷ 2 ( 1 + 2 )

= 3 ( 3 )

= 9

(ANSWER ASAP) i really need this done by tomorrow

Answers

Answer:

answer is 2

Step-by-step explanation:

5 - 1 / -5 - (-3)

4/2

2

Answer:

The correct answer would be 2

Step-by-step explanation:

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