8. Mr. Azu invested an amount at rate of 12% per annum and invested another amount. GHe
580.00 more than the first at 14%. IN Mr. Azu had total accumulated amount of
GH42.358.60. how much was his total investment?
Ans:​

Answer:

155.625 or ( 89/160 )

Step-by-step explanation:

Answer

4 5/8

Step-by-step explanation:

15 - 10 3/8

= (15 - 10) + (0 - 3/8)

= 5 + 0 x 8 - 3/8

=5 + 0/8-3/8

=5 + 0-3/8

=5 -3/8

4 5/8

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

A

Step-by-step explanation:

f(x) = 1/(x-3)+7

f(x)-7=1/(x-3)

x=1/(f(x)-7)+3

f^-1(x)=1/(x-7)+3, where x≠7

The correct answer is option (a)  \(f^{-1}(x)= \frac{1}{x-7} +3\) where \(x\neq 7\).

The domain of a function is the complete set of possible values of the independent variable

Given \(f^{}(x)= \frac{1}{x-3} +7\)

Let

\(y= \frac{1}{x-3} +7\)

⇒y-7= 1/x-3

⇒x-3 =1/y- 7

⇒ \(x= \frac{1}{y-7} +3\)

hence option a is correct

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Answer:

Step-by-step explanation:

slope intercept: y = mx + b

where m is the slope and b is the y-intercept

Equation: y = -3x + 4

Since y-intercept is given, then we have the first point of the line as (0,4)

Let's find the value of x when y is 0

y = -3x + 4

0 = -3x + 4

3x = 4

x = 4/3

(4/3,0) ---second point

Since there are two points/coordinates already then we can now plot/graph.

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

m = Mimi's age

r = Ronald's age.

m = r + 4 (1)

(m - 5) = 2(r - 5)

m - 5 = 2r - 10

m = 2r - 5 (2)

Equaling 1 and 2

r + 4 = 2r - 5

r = 9 (That's Ronald's age)

Now we replace r = 9 in (1)

m = 9 + 4 = 13 (That's Mimi's age)

Answer:

sorry I am wrong but it's 10000000

Thee values of the functions are;

(f . g)(x) = √(-2x + 3)

(g . f)(x) = - 2√x + 3

A function can simply be defined as a law, rule or expression showing the  relationship between two variables in an equation or expression.

The two variables are given;

Given the functions;

To determine the function (f . g)(x), substitute the value of x as g(x) in the function, we have;

(f . g)(x) = √(-2x + 3)

To determine the function  (g . f)(x), substitute the values of x  in the function g(x), we have;

(g . f)(x) = - 2√x + 3

Hence, the functions are √(-2x + 3) and  - 2√x + 3

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Answer:

whichever paper towel observer's the most juice is the best brand

Leanne will earn if she sells: $140 if she sells 10 subscriptions and $210 if she sells 15 subscriptions.

We are given:

Leanne earns $14 for every subscription she sells.

We need to find earnings of Leanne for the sale of 10 subscriptions and 15 subscriptions.

We will solve the given problem using the unitary method.

Since for 1 subscription Leanne sells, she earns $14.

So, for 10 subscriptions Leanne sells, she will earn $14 * 10 = $140.

So, for 15 subscriptions Leanne sells, she will earn $14 * 15 = $210.

So, for 10 subscriptions Leanne earns $140 and for 15 subscriptions Leanne earns $210.

Thus, Leanne will earn if she sells: $140 if she sells 10 subscriptions and $210 if she sells 15 subscriptions.

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Answer:

15 and 3

Step-by-step explanation:

Create system of equations:

\(a=5b\)

\(a+b=18\)

Substitute:

\(5b+b=18\)

\(6b=18\)

\(b=3\)

Substitute:

\(a=5(3)\)

\(a=15\)

Therefore, the two numbers are 15 and 3

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Answer:

the answer is c because decreased by means the symbol minus so y decreased by 24 will be y-24

1/2 Answer: 1/2

Step-by-step explanation:

Answer:

33 7/20

Step-by-step explanation:

First you multiply the number of students performing in the problem (25) to the fraction 3/4 as stated in the problem itself.

25 * 3/4 = 18 3/4

Then you use the answer from the previous step and add it by the expected amount of pound of clay (20)

18 3/4 + 20 = 38 3/4

As from the last step, we use that number and subtract it by the leftover clay (5 2/5)

38 3/4 - 5 2/5 = 33 7/20

Answer:

33 7/20

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Some reasons why third parties are important in a political system to represent different perspectives, give voters more alternatives, and increase a party's accountability and commitment.

It is political parties that are minor or alternative, not corresponding to the two dominant political parties in a political system.

As an example, in the USA, we have the Green Party and the Libertarian Party, which are the third party and do not constitute the two dominant parties that are the Democratic Party and the Republican Party.

Therefore, the importance of third parties in a political system is to increase the choices of political representatives to voters, in addition to representing different views and interests of the two dominant parties, strengthening freedom and democracy in a country.

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Answer:

7A + 6P = 512

Step-by-step explanation:

A+P=80

P=80-A

7A+6(80-A)=512

7A+480-6A=512

A=32

80-32=48

Sam sold 32 apple pies and 48 pumpkin pies

Answer:

Since AB = BC,

3m + 5 = 4m - 10

m = 15

The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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Answer:

y+4=-3(x+1)

Step-by-step explanation:

Hope this helps may all your sweet dreams come true!

Answer:

y+4=-3(x+1)

Step-by-step explanation:

this is right im in the test

A pie chart is a graphical chart that is circular in shape. The sum of degrees in a pie chart is equal to 360 degrees.

The portion of  football in degrees is 72 degrees

From the question,

The total number of hours for each sports activity = 50 hours

The total number of hours spent on football = 10 hours

The formula to calculate the portion for football in degrees is given as:

(Number of hours spent on football / Total number of hours)   x 360 degrees

10 hours/ 50 hours x 360 degrees

= 72 degrees

Therefore, the portion of  football in degrees is 72 degrees

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The converse, inverse and contrapositive of the given conditional statement are;

- Converse of the conditional statement is; If it contains beta carotene, then a vegetable is a carrot.

- Inverse of the conditional statement is; If a vegetable is not a carrot, then it does not contain beta carotene.

- Contrapositive of the conditional statement is; If it does not contain beta carotene, then a vegetable is not a carrot.

We are given the conditional statement;

If a vegetable is a carrot, then it contains beta carotene.

- Converse of that statement is; If z, then x.

- Inverse of that statement is; If not x, then not z.

- Contrapositive of that statement is; If not z, then not x.

- Converse of the conditional statement is; If it contains beta carotene, then a vegetable is a carrot.

- Inverse of the conditional statement is; If a vegetable is not a carrot, then it does not contain beta carotene.

- Contrapositive of the conditional statement is; If it does not contain beta carotene, then a vegetable is not a carrot.

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The sum of the infinite geometric sequence is 3 3/4

From the question, we have the following parameters that can be used in our computation:

The geometric sequence

In the geometric sequence, we have

First term, a = 3/5¹⁻¹

a = 3

Also, we have

Common ratio, r = 1/5

The sum of the infinite geometric sequence is calculated as

Sum = a/(1 -  r)

So, we have

Sum = 3/(1 -  1/5)

Evaluate

Sum = 3 3/4

Hence, the sum of the infinite geometric sequence is 3 3/4

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Answer:

Slope is 5/8.

y-intercept is (0, 5/2)

Step-by-step explanation:

Answer:

this is what u need to do

Step-by-step explanation:

first you need to put it into this

\(y=mx+b\)

so this is what is next

\(y=-8(5x)-20\)

\(y=5x+12\)

Answer:

Bill's bar has 57.3 grams of cocoa.

Step-by-step explanation:

The math part that your question is asking is: What is 69% of 83?

In order to use the percent 69% in a calculation, you need to change it to a decimal.

69% is 0.69

You move the decimal to the left, two places.

69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.

Move it two places to the left, you get

.69

Now MULTIPLY.

.69 × 83

= 57.27

ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.

57.27 rounds to 57.3

Bill's bar has 57.3 grams of cocoa.