1. Gustava Valadez opened a new checking account by depositing her paycheck for $347.95. The check register shows her transactions since opening her account.
What should her new balance be?
CHECK
NG
DATE
CHECKS ISSUED TO OR
DESCRIPTION OF DEPOSIT
AMOUNT AMOUNT OF
BALANCE
OF CHECK DEPOSIT
BALANCE BROUGHT FORWARD
101
1/7
14
E & H Auto Clinic
Heising Builders
$102
67
102
1/11
70

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."