Answer:
Step-by-step explanation:
In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula
prt = I, where
p is the initial investement,
r is the interest rate in decimal form,
t is the time in years, and
I is the interest earned. Notice that we have all those things but the p.
Filling in:
p(.0425)(4) = 2380 and
.17p = 2380 so
p = 14000
That means that 14000 was initially invested. If the depositor withdrew the 2380, then
14000 - 2380 is the amount left in the account, namely, $11620
Answer: to the tenth place: 0.3
To the hundredth place: 0.33
Thousandths: 0.334
Whole number: 0
Step-by-step explanation:
You said each equation but only posted one.
The standard form takes the place of
Ax + By = C.
y-5 = -3(x+2)
y - 5 = -3x - 6
y = -3x - 6 + 5
3x + y = -1
Done.
Answer:
2*(x-5) = -33, so x-5 = -16.5, so x = -11.5
This is assuming that "the difference between a and b" is a-b, which seems to be the accepted interpretation.
Answer:
22
Sarah's age is best represented by M-24 or as the question used x-24 where the mother's age is best represented by M where the question used x.
Step-by-step explanation:
We are given that Sarah (S) is 24 years younger than her mother (M).
So S=M-24.
We are given that Sarah (S) and her mom's age adds up to 68.
So S+M=68.
We are going to solve this system by substitution since one of the variables is solved for. I'm going to plug first equation into second like so:
(M-24)+M=68 I replaced S with M-24.
M+M-24=68 Put like terms together.
2M-24 =68 Combined the like terms.
2M = 92 Added 24 on both sides.
M = 92/2 Divided 2 on both sides.
M = 46 Simplified the 92/2.
So her mother's age is 46.
We know that S=M-24 so S=46-24=22.
Sarah is 22 years old.