(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)

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This file has it partly done

Answer:

6 minutes per kilometer

Answer:

Step-by-step explanation:

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

Given:

Find k:

Find y when x = 39:

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

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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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

Step-by-step explanation:

x = +4

y = +1

it uses a rigid transition formation

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

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" :)

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

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.

Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

Answer:

I think the answer will be A

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

Answer: It would be 102

Step-by-step explanation:

Answer:

4:6

or 4/15 : 2/5

Step-by-step explanation:

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.

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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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 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

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

answer.

86 630

explanation.

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 :)

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.

Answer:

x=m-7-6

Step-by-step explanation:

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

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

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Answer:

Hope this helps!

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)

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

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

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]

_______________

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