HELP PLEASE!!! LOL PLEASE!

The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)

velikii [3]

Answer:

Part 1) $A=80$

Part 2) $B=-25$

Part 3) $C=-40$

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

Part 1) Find the value of A

$432+A=512$

solve for A

subtract 432 both sides

$A=512-432=80$

Part 2) Find the value of B

$75-100=B$

solve for B

$-25=B$

Rewrite

$B=-25$

Part 3) Find the value of C

$C+52=12$

solve for C

subtract 52 both sides

$C=12-52$

$C=-40$

4 0

3 years ago

Approximate area under the curve f(x) =-x^2+2x+4 from x=0 to x=3 by using summation notation with six rectangles and use the the

bekas [8.4K]

Answer:

Summation notation:

$\frac{1}{2}\sum_{k=1}^6f((.5k))$

or after using your function part:

$\frac{1}{2}\sum_{k=1}^6(-(.5k)^2+2(.5k)+4)$

After evaluating you get 11.125 square units.

Step-by-step explanation:

The width of each rectangle is the same so we want to take the distance from x=0 to x=3 and divide by 6 since we want 6 equal base lengths for our rectangles.

The distance between x=0 and x=3 is (3-0)=3.

We want to divide that length of 3 units by 6 which gives a length of a half per each base length.

We are doing right endpoint value so I'm going to stat at x=3. The first rectangle will be drawn to the height of f(3).

The next right endpoint is x=3-1/2=5/2=2.5, and the second rectangle will have a height of f(2.5).

The next will be at x=2.5-.5=2, and the third rectangle will have a height of f(2).

The fourth rectangle will have a height of f(2-.5)=f(1.5).

The fifth one will have a height of f(1.5-.5)=f(1).

The last one because it is the sixth one will have a height of f(1-.5)=f(.5).

So to find the area of a rectangle you do base*time.

So we just need to evaluate:

$\frac{1}{2}f(3)+\frac{1}{2}f(2.5)+\frac{1}{2}f(2)+\frac{1}{2}f(1.5)+\frac{1}{2}f(1)+\frac{1}{2}f(.5)$

or by factoring out the 1/2 part:

$\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))$

To find f(3) replace x in -x^2+2x+4 with 3:

-3^2+2(3)+4

-9+6+4

1

To find f(2.5) replace x in -x^2+2x+4 with 2.5:

-2.5^2+2(2.5)+4

-6.25+5+4

2.75

To find f(2) replace x in -x^2+2x+4 with 2:

-2^2+2(2)+4

-4+4+4

4

To find (1.5) replace x in -x^2+2x+4 with 1.5:

-1.5^2+2(1.5)+4

-2.25+3+4

4.75

To find f(1) replace x in -x^2+2x+4 with 1:

-1^2+2(1)+4

-1+2+4

5

To find f(.5) replace x in -x^2+2x+4 with .5:

-.5^2+2(.5)+4

-.25+1+4

4.75

Now let's add those heights. After we obtain this sum we multiply by 1/2 and we have our approximate area:

$\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))$

$\frac{1}{2}(1+2.75+4+4.75+5+4.75)$

$\frac{1}{2}(22.25)$

$11.125$

Okay now if you wanted the summation notation for:

$\frac{1}{2}(f(3)+f(2.5)+f(2)+f(1.5)+f(1)+f(.5))$

is it

$\frac{1}{2}\sum_{k=1}^{6}(f(.5+.5(k-1)))$

or after simplifying a bit:

$\frac{1}{2}\sum_{k=1}^6 f((.5+.5k-.5))$

$\frac{1}{2}\sum_{k=1}^6f((.5k))$

If you are wondering how I obtain the .5+.5(k-1):

I realize that 3,2.5,2,1.5,1,.5 is an arithmetic sequence with first term .5 if you the sequence from right to left (instead of left to right) and it is going up by .5 (reading from right to left.)

6 0

3 years ago

Jeremy wants to give a 20% gratuity to his cab driver. His fare is $35.50. What is the total amount he will pay the driver?

Mandarinka [93]

Answer: $42.60

Step-by-step explanation:The 20% of $35.50 is $7.10. Then, you add $7.10 to $35.50, that will be $42.60.

3 0

3 years ago

Read 2 more answers

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Zina [86]

I believe the answer is the last on KJM and KJH

5 0

3 years ago

1 What is 411,600,000 in scientific notation.

Eduardwww [97]

Answer: 411.6

Step-by-step explanation: What is 411.6 Million in Scientific Notation?

To answer the question what is 411.6 million in scientific notation let’s recall how to convert 411,600,000 to scientific notation as detailed on our home page.

If you split the number 411600000 into a coefficient and a power of 10 you do get 411.6 million in exponential form, but there is an indefinite number of possibilities.

As you probably want 411.6 million in normalized scientific notation, the coefficient or significand of 411.6m in scientific notation must be in the interval [1,10[.

As there are many ways to express 411.6 million in scientific notation, in this post we mean 411.6 million in normalized scientific notation, unless stated otherwise.

4 0

3 years ago