Ask question

Ask question

All categories

3 years ago

13

You are a teller at a bank. A customer has $252 in their checking account. They write a check for $287 (debit) that is cashed by

the recipient . Will the new balance be positive or negative?

1 answer:

GarryVolchara [31]3 years ago

7 0

Negative. You have $252, and the check will take away $287, so 252-287 is -35.

You might be interested in

PROVE THAT:<br><br>cos 20° - sin 20° = \sqrt{2}sin25°<br><br>

Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

First, use the co-function identity:

$\sin(90-x)=\cos(x)$

We can turn the second term into cosine:

$\sin(20)=\sin(90-70)=\cos(70)$

Substitute:

$\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Now, use the sum to product formulas. We will use the following:

$\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})$

Substitute:

$\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)$

Use the even-odd identity:

$\sin(-x)=-\sin(x)$

Therefore:

$\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Replace the second term with the original term:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

Proof complete.

4 0

4 years ago

What does x equal with this equation <br> x/6-33= -27

Dafna11 [192]

X/6-33=-27
-27+33=6
x/6=6
6x6=36
X=36

5 0

2 years ago

Read 2 more answers

You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic

mixas84 [53]

Answer:

1.333 is more close to 1.5 than 1.25 .

Step-by-step explanation:

We are given:

You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Which size will keep more of the original picture.

First divide 6 by 4: we get,

6/4 = 1.5 inches

This is the ratio to achieve.

Now divide 20 by 16

20/16 = 10/8

10/8 = 5/4

5/4 = 1.25 inches

Now divide 24 by 18

24/18 = 12/9

12/9 = 4/3

4/3 = 1.333 inches

1.333 is more close to 1.5 than 1.25 .

7 0

3 years ago

Read 2 more answers

Starting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along th

o-na [289]

What is the middle of 6 and 12- 6, 7, 8, 9, 10, 11, or 12?

7 0

3 years ago

Read 2 more answers

What is the exact factorization of 12x+3xy+2zy+8z

Kipish [7]

Answer:

3x2y−3xy+12x−12

Take out 3xy common from first two terms and 12 from last two terms.

3xy(x−1)+12(x−1)

(x−1)(3xy+12)

4 0

3 years ago