Answer:
The balance of account at the end of 36 years is $31,849.29
Step-by-step explanation:
We are given the following in the question:
P = $3,300
r = 6.5% = 0.065
t = 36 years
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.
Since interest is compounded annualy we use n = 1
Thus, balance of account at the end of 36 years is $31,849.29
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.
First, put it into point-slope form.
Find the slope:
m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4
Now, put it into point-slope:
y-y1=m(x-x1)
y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24
Slope intercept form: y= mx+b
Add 2 to the other side.
y=-4x-22 <== the answer
I hope this helps!
~kaikers
General Idea:
We need to make use of the below formula to find the monthly payment..
Applying the concept:
Given:
Substituting the given in the formula we will get the monthly payment.
Conclusion:
The monthly payment during the initial period is <u>$1072</u>.
Answer: 3:5
Step-by-step explanation:
So, taking the ratio of the time taken by Henry to the time taken by Gavin is: (36 mins/ 60 mins) = (36/60) = 3:5 [Taking minutes as the common unit for both of the cases.] Thus the ratio is 3:5 in simplest form.
