(i) Find i in terms of P and A.

(ii) If 2500 is invested 3 years ago has a present value of 2650, find the rate of interest, i (correct to one decimal place)

(i) Find I In Terms Of P And A.(ii) If 2500 Is Invested 3 Years Ago Has A Present Value Of 2650, Find

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given formula:

[tex]A=P(1+i/100)^3[/tex]

(i)

Solve for i:

[tex]A/P=(1+i/100)^3[/tex][tex]\sqrt[3]{A/P}=1+i/100[/tex][tex]\sqrt[3]{A/P} -1=i/100[/tex][tex]i=100(\sqrt[3]{A/P} -1)[/tex]

(ii)

P = 2500, A = 2650, find i:

[tex]i =100(\sqrt[3]{2650/2500} -1)[/tex]i ≈ 2.0%


Related Questions

(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.​

Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

7x - 2y - 4

Step-by-step explanation:

If a - b = c then the value of b is a - c:

5x + 2x - 7 - (-2x + 4y - 3) = 5x + 2y - 7 + 2x - 4y + 3 = 7x - 2y - 4

Which function represents a reflection of f(x)=3/8
(4) across the y-axis?
O g(x) = - a)
O g(x) = - 3 (4%
o g(x) = (4)
O g(x) = 2 (4)*

Answers

Answer:

Step-by-step explanation:

Reflecting a function across the Y axis means replacing x with -x.

First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.

Second one is also a no, the original one is always positive, the second one is always negative.

3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]

4th one is the charm.

The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.

This will cause the function to be reflected across the y-axis.

So,

The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:

g(x) = (3/8) 4^(-x)

We replaced x with -x in f(x) and simplified to obtain g(x).

Therefore,

The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D

Answers

Answer:

I think the answer will be A

In a bag of m&ms, there are 12 blue,7 browns, 16 red,6 green, 4 yellow, 8 orange.What is the probability of choosing a brown or green candy from the bag

Answers

Answer:

40 percent

Step-by-step explanation:

Answer:

13/53

Step-by-step explanation:

Total number of m&m's = 53

Probability of choosing a brown candy = 7/53

Probability of choosing a green candy = 6/53

Probability of choosing a green or brown candy

= 7/53 + 6/53

=13/53



Which describes how to move from (2, 3) to (6,4) on a coordinate grid?


Answers

Step-by-step explanation:

x = +4

y = +1

it uses a rigid transition formation

Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST

Answers

Answer: It would be 102

Step-by-step explanation:

(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?

Answers

Given that :(1/3)^-2 + (1/4)^-2 = 125^x

⇛[1/(1/3)]²+[1/+1/4)]² = 125^x

Since a^-n = 1/a^n

⇛ (3)²+(4)² = 125^x

⇛ (3×3)+(4×4) = 125^x

⇛ 9+16 = 125^x

⇛25 = 125^x

⇛ 5² =( 5³)^x

⇛ 5² = 5^(3x)

Since (a^m)^n = a^mn

⇛ 2 = 3x

Since the bases are equal then exponents must be equal

⇛3x = 2

⇛ x = 2/3

Therefore,x = 2/3

Answer:- The value of x for the given problem is 2/3.

also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..

https://brainly.com/question/25473629?referrer

Find the quotient 40,936 4 34.

Answers

[tex]40936434. \times 10 {}^{7} [/tex]

for brainly help me out

Answers

Answer:

2nd answer sounds like the best answer because the rate of change is -1.4.

Step-by-step explanation:

Plug in the equation.

Answer:

[tex]m=-\frac{7}{5}[/tex]

Step-by-step explanation:

B will be considered, "The correct answer" :)

Jane lives on a straight road that goes east and west. She starts from a point 6.3 miles west of her home and drives a certain distance to the store. The store is more than 4 1/2 miles east of her home.
Let d represent the distance Jane drove. Which inequality represents this situation?
−6.3+d≥−4 1/2
−6.3+d>4 1/2
−6.3+d>−4 1/2
−6.3+d≥4 1/2

Answers

The inequality that represents the situation is as follows (where d

represents the distance Jane drove):

−6.3 + d > 4 1/2

She lives on a straight road that goes east and west.

d = distance Jane drove.

She started from a point 6.3 miles west of her home and drives a certain distance to the store.  Therefore,

She drives

-6.3 + d

The store is more than  4 1/2 miles east of her home. Therefore,

- 6.3 + d > 4 1/2

read more: https://brainly.com/question/25658107?referrer=searchResults

Answer:

Hope this helps!

In a school 2/3 of the students study a language
Of those who study a language, 2/5 study french
Find the ratio of students who study French to students who do not study french. Give your answer in it simplest form.

Answers

Answer:

4:6

or 4/15 : 2/5

Step-by-step explanation:

-3 + r > 4 OR r + 1 < -1​



PLEASE HELP​

Answers

1) - 3 + r > 4

=》r > 4 + 3

=》r > 7

2) r + 1 < -1

=》r < -1 - 1

=》r < -2

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

[tex]\sf -3 + r > 4[/tex]

[tex]\sf -3+r+3>4+3[/tex]

[tex]\boxed{\sf r>7}[/tex]

_______________

[tex]\sf r + 1 < -1[/tex]

[tex]\sf r+1-1<-1-1[/tex]

[tex]\boxed{\sf r<-2}[/tex]

_______________

gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min

Answers

Answer:

6 minutes per kilometer

If x = 3, y=-1 is a solution of the equation 3x - 2y = k, then k is :
(a) 12
(b) 10
(c) 7
(d)11

Answers

Answer:

11

Step-by-step explanation:

So you replace each letter with it's numerical value.

Note that in arithmetics the sign is critical so observe it.

For this equation, if you solve for k by replacing the known variables with their actual value you get this:

3(3)-2(-1)=k

As stated earlier, the signs are important. When you multiply a negative number with another negative number the sign becomes positive (+).

For this case, -2*-1=+2 and 3*3=9

So, k=2+9

k is therefore 11

I’ll give 20 points to whoever can answer all of the questions.

Answers

This file has it partly done

The ratio of cats to dogs at animal shelter is 2 to 5. There are 22 cats at the animal shelter.

What is the total number of animals at the animal shelter?

Answers

Answer:

77

Step-by-step explanation:

cats:dogs

2:5

2x11=22

5x11=55

55+22=77

Answer:

77 animals

Step-by-step explanation:

Ratio = 2:5

2 = 22

5 = 5/2 ×22

= 55

=>There are 55 dogs in the animal shelter

Therefore the total number of animals = 55 +22

= 77

=> There are 77 animals at the animal shelter

how can you find 8 people can share 7 tickets equally

Answers

Answer:

Easy Kick one person out

Step-by-step explanation:

8/7 because 7*8=7/1*8/1= and we will take the reciprical which is 7/1*1/8=7/8

find the median data 46,22,46,49,45,39,40,42,41,39,40,36

Answers

Answer:

median is 40.5

Step-by-step explanation:

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

half way between numbers in numerical order

lands between 40 and 41

40.5

Answer:

41

Step-by-step explanation:

1. First you have to put the numbers in order from least to greatest:

22 36 39 39 40 40 41 42 45 46 46 49

2. Then cross out each number until you find the one that in the middle

For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea

8 × (4^2 + 2) please help

Answers

Answer:

144

Step-by-step explanation:

Using the process PEMDAS I got 144

8 × (4^2 + 2)

First, you solve inside the parentheses, the exponent is the beginning step.

8 x(16+2)

The next step of this equation is adding, which gives us the sum of 18.

8 x 18

Our last step is multiplication.

144 is our product/answer.

Complete the square to rewrite y=x^2+6x+3 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates

Answers

Answer:

Step-by-step explanation:

take b, divide it by 2 and then square it

(6/2)²=9 so add then subtract 9

(x²+6x+9)+3-9

x²+6x+9=(x+3)²

3-9= -6

(x+3)²-6

The vertex is a minimum and the coordinates are (-3,-6)

y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.

Answers

Answer:

24

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionality

Given:

y is 20 when x is 28

Find k:

20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4

Find y when x = 39:

y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24

A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?

Answers

Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

An animal hospital advertises a veterinarian’s starting salary as $50,000 for the first year, with increases of $1,500 each year for the next nineteen years. The total salary is represented by the series shown. (first image)

Which is equivalent to the series? Check all that apply.

Answers

Answer:

A B & D

Step-by-step explanation:

Edge 2021

Answer:

Part 1: A, B, and D

Part 2: $1,285,000

Step-by-step explanation:

Edge 2022 :)

round off 86 625 mm to the nearest significant figure​

Answers

answer.

86 630

explanation.

86 62|586 630

HELP

One chocolate bar and two coconut bars contain 780 calories. Two chocolate bars
and one coconut bar contains 786 calories. Find the number of calories in each kind
of bar.

Answers

Answer:

Choc Bar: 258 cals

Coco Bar: 264 cals

Step-by-step explanation:

What we can do here is something called making a system of equations.

Let us name the choc. bars x and the coco. bars y.

Then, we can get:

x+2y=780

2x+y=786

Next, we solve for x in the first equation

x=780-2y

Now, we can substitute:

2(780-2y)+y=786

1560-3y=786

-3y=-774

y=258

x=780-516

x=264

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6. PLS HELP

Answers

Answer:

x=m-7-6

Step-by-step explanation:

Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?

Answers

Answer:

first tell how far does Mr. Gilbert drive???

Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.

Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12

I hope this helps! :)

y=2x + 1
4y - 6x = 10​

Answers

Answer                                                    

2x+4

Step-by-step explanation:

when you would try to work it out you would have to put the y in parentheses as shown: (2x+1) then you would put the 4 in front of the parentheses, 4(2x+1). for the rest you would add the  -6 behind the parentheses like, as shown: 4(2x+1)-6. To brake it down you would use the terms please excuse my dear aunt sally. AKA p e m d a s. you would do 2x+1 which stays the same. thhen you would multiply the 4 by 2x and 1 then it makes it 8x+4-6x which equals 2x+4.

the line passes through (-6,9)
perpendicular to y=3x-2

Answers

The key to understand this problem is that perpendicular lines have slopes that are the negative reciprocals of each other. Example, a line with slope 3/4 has a perpendicular with a slope of -4/3. So flip it over and take the negative. Like 7/12 and -12/7 or 2 and -1/2 (because 2 = 2/1)

The slope of y = 3x - 2 is 3 (the number preceding the "x' if the line is in the form y = mx + b)

So the line perpendicular to y = 3x - 2 has a slope of -1/3.

So now you just need to write the equation of the line with slope -1/3 that goes through (-9, 5). Use the point-slope form, y - y1 = m(x - x1) where (x1, y1) is (-9, 5) and m = -1/3

y - 5 = -1/3(x - -9)

y - 5 = -1/3(x + 9)

That's the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.

y - 5 = -1/3(x + 9)

y - 5 = -1/3x - 3

y = -1/3x + 2

Other Questions
In your own words, explain why it is necessary to include only one chain-terminating/ synthesis-terminating nucleotide in each well of the electrophoresis instrument. What is the primary difference between the process of lost-wax casting as practiced in ancient times and that same process today A (n) _____________ is a period unified by a common theme , often social or political . A. era b . period C. decade d . century which letter in the word scribble comes latest in the alphabet please help answer these questions for art appreciation if you know any of them pleasei will mark brainliest also i put 30 What adversity did each woman face during her time as an absolute monarchElizabeth Ifrom society's expectations of women during her time? 23 x 5 + 6 x 50 -7 = ? Researchers estimate that the percentage of time spent in social interaction with peers increases from approximately ______ percent at 2 years of age to more than ______ percent in middle to late childhood. When a gas is collected over water, the partial pressure of water must be subtracted from the total pressure. If the total pressure was 761 mmHg and the pressure for water is 17.2 torr, what is the pressure due to the gas collected This is the backside from the other photo I need extra help with this HOW TO REPHRASE - "The bear could come back again and would destroy Brian's shelter." IN SIMPLER AND DIFFERENT WORDS???? * if u get this right, urrr brainliestttt which of the following are compounds (select all that apply)a) Br2b)NO2c) KBrd) Fe Yesterday, the temperature at noon was 11. 4. By midnight, the temperature had decreased by 15. 7 degrees. What was the temperature at midnight?. Two sides of a triangle measure 27 inches and 32 inches.Which could represent the length of the third side? Answer options:5 in59 in7 in62 in y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39. When reading The Narrative of the Life of Frederick Douglass, the reader can make conclusions based on known facts or evidence. This process is called The FAT method ______________.a. keeps information about the block where bit vector is stored. b. employs space maps to manage information about free blocks. c. does not store information about free blocks. d. incorporates free-block accounting into the allocation data structure. how did the officer feel about himself Find the surface area of this cuboid Why did many immigrants come to Louisiana during the 1800s? Check all that apply.They had been forced to leave Canada by Great Britain.They wanted to escape war and other political problems.They hoped to find new opportunities to make money.They need to escape poverty and a potato famine.They wanted to avoid persecution of their religions.