Answer:
The final ballance will be $1300.37.
Step-by-step explanation:
In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:
S = P(1 + r/n)^(n*t)
Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:
S = 975.52*(1 + 0.0725/4)^(4*4)
S = 975.52*(1.018125)^(16)
S = 975.52*1.333
S = 1300.37
The final ballance will be $1300.37.
Answer:
1.
8x + 6y = 28
9x + 3y = 39
Set to equal y.
8x + 6y = 28
6y = -8x + 28
y = -8/6x + 28/6
y = -4/3x + 14/3
9x + 3y = 39
3y = -9x + 39
y = -9/3x + 39/3
y = -3x + 13
Set equal to each other.
-4/3x + 14/3 = -3x + 13
Combine like terms.
5/3x = 25/3
Multiply by 3/5
x = 5
Plug x in.
y = -3(5) + 13
y = -15 + 13
y = -2
(5, -2)
2.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -2/9x + 1/3
0 = 0
infinitely many solutions
The slope is the rate
words per minute
we can do
540 words in 3 minutes
divide by 3
180 words in 1 minute
thea=180wpm
elanor=225wpm
elanor>thea
and 225*2=450
answers are
Thea reads 180 words per minute.
Eleanor reads 450 words every 2 minutes.
After 1 hour of reading, Eleanor reads more words than Thea.
Answer:
It will also be 35
Step-by-step explanation:
$0.25 = 5 bottles
Divide both sides by 5:
$0.05 = 1 bottle
Last week: $12.75
12.75 = 0.05b where b represents bottles
Divide all by 0.05 to get b alone:
255 = b