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
Answer:
Step-by-step explanation:
Let the numbers be x,y, where x>y
The geometric mean is
The Arithmetic mean is
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.
We can write the equation;
or
l
and
or
Make y the subject in equation 2
Put equation 3 in 1
When x=1, y=10-1=9
When x=9, y=10-9=1
Therefore x=9, and y=1
The ratio of the smaller number to the larger number is
Answer:
Equation of a line, y = mx+c
Slope (m)= (Y2-Y1)/(X2-X1), let Y2=7, Y1=3 , X2=2 and X1=1
m=(7-3)/(2-1)
= 4/1
= 4
Picking any value of y and its corresponding x including m, put them into the equation of the line
y=mx+c
3 =4(1)+c
3=4+c
3-4=c
-1=c
y=mx+c
y=4x+(-1)
y=4x-1
Follow pemdas. Evaluate operations in parentheses first.
2*(-7)+14-4
Then multiply
-14+14-4
Then add and subtract from left to right
-14+14=0
0-4=-4
Final answer: -4
The answer is probably the opposite which in this case would be -19 ?
