(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)
Answers
Answer:
See belowStep-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
(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)..
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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
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
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 :)
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
(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:
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:
-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]
_______________
PLS HELP WILL MARK BRAINLIEST!
Answers
Answer:
7x - 2y - 4Step-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 - 4round off 86 625 mm to the nearest significant figure
Answers
answer.
86 630
explanation.
86 62|586 630
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
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
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)
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:
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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.
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" :)
Find the quotient 40,936 4 34.
Answers
[tex]40936434. \times 10 {}^{7} [/tex]
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 + dThe store is more than 4 1/2 miles east of her home. Therefore,
- 6.3 + d > 4 1/2read more: https://brainly.com/question/25658107?referrer=searchResults
Answer:
Hope this helps!
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:
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
y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.
Answers
Answer:
24Step-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 proportionalityGiven:
y is 20 when x is 28Find k:
20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4Find y when x = 39:
y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24Answer:
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
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
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
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! :)
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
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.
I’ll give 20 points to whoever can answer all of the questions.
Answers
This file has it partly done
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:
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
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