Answer:$6451.6 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.2%. So
r = 7.2/100 = 0.072
It was compounded for 3 years. So
t = 3
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. A is given as $8000 Therefore,
8000 = P (1+0.072/12)^12×3
8000 = P(1+0.006)^36
8000 = P(1.006)^36
P = 8000/1.24
P = $6451.6
Y = 2x - 2 ⇒ 2x - y = 2 ⇒ 2x - y = 2
y = x + 2 ⇒ x - y = -2 ⇒ <u>2x - 2y = -4</u>
<u>3y</u> = <u>6</u>
3 3
y = 2
2x - 6 = 2
<u> +6 +6</u>
<u>2x</u> = <u>8</u>
2 2
x = 4
(x, y) = (4, 2)
Answer:
107%
Step-by-step explanation:
because if we look at the x-axis, Discount (%)
and look at 35 which is between 30 and 40
and start going up we get near 100
so
107%
or?
we use the two points and with that we find the slope first
plug in (20,62) and (10,32)
equals
simplify to 3
then we use
y - y1 = m (x - x1)
y - 62 = 3 (x - 20)
y - 62 = 3x - 60
add 60 from both sides
y - 2 = 3x
add 2 to both sides
y=3x+2
then plug in 35
y= 3(35) + 2
which is
107
Answer:
The proportion is 3/4=9/12
Step-by-step explanation: For proportions you need to write it in a ratio, after doing that, you look at the outside numbers on the ratio on this case it is 3 and 12, multiply that and you get 36, after that do the same with the inside numbers to get another 36.
Answer:
PM:MQ = 8:3.
Step-by-step explanation:
;
;
.
Also,
in right triangle PBM.
Thus 
.
Additionally 
.
Therefore 
.
for M is the midpoint of segment BC.
.
implies that
.
