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2 years ago

12

Jason's checkbook had a balance of $525.02 on May 5 . On May 6 , he wrote a check for $107.65 at the grocery store . On May 8 ,

he wrote a check for $228.00 for his car payment . On May 9 , his grandmother sent him $55.00 and he deposited this in his account . What is the balance of Jason's account after this deposit .
A $334.37

B $700.37

C $915.67

D $244.37

2 answers:

velikii [3]2 years ago

7 0

Answer:

$244.37

Step-by-step explanation:

xxTIMURxx [149]2 years ago

6 0

Answer:

D $244.37

Step-by-step explanation:

INITIAL BALANCE 525.02 - PAYMENT FOR GROCERIES 107.65 = 417.37

NEW BALANCE 417.37 - PAYMENT FOR HIS CAR PAYMENT 228 = 189.37

NEW BALANCE 189.37 + GIFT FROM GRANDMONTHER 55 = 244.37

Total: $244.37

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

6 0

3 years ago

Add 3 and 7. then multiply by 3.

Reil [10]

Answer:

30

Step-by-step explanation:

First, add 3 and 7

3 + 7 =10

The multiply by 3

10*3= 30

Hope this helps!

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3 years ago

Read 2 more answers

Divide x^3-3x^2-10x+24 by x-2

melisa1 [442]

You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the 1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get -1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get -12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get $x^2-x-12$ .

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3 years ago

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What is i^22 if i^2 is -1

Sever21 [200]

I^22 equals to -1 since i^2 is negative one

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2 years ago

The table shows the temperature (y) at different altitudes (x).

Shtirlitz [24]

Answer/Step-by-step explanation:

2. Using two pairs of values, (0, 59) and (2,000, 51),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250}$

3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,

y-intercept (b) = 59

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5. Substitute x = 5,000 in $y = -\frac{1}{250}x + 59$ .

$y = -\frac{1}{250}(5,000) + 59$

$y = -20 + 59$

$y = 39$

At an altitude of 5,000 ft, temperature would be 39°F

3 0

2 years ago