You want to save $5,000 for future family vacation. if the bank pays 4.3% compounded monthly for 3 years, then how much will you need to invest to reach your vacation goal?

The principal amount invested is $4395.93 .

Step-by-step explanation:

Given as :

The Amount that saved for future = A = $5,000

The bank applied rate of interest = r = 4.3% compounded monthly

The time period of loan = t = 3 years

Let the principal amount invested = $p

Now, From monthly Compound Interest method  

Amount = principal ×

Or, A = p ×

Or, $5000 = p ×

Or, $5000 = p ×

Or, $5000 = p × 1.137414

∴ p =

i.e p = $4395.93

So, The principal amount invested = p = $4395.93

Hence, The principal amount invested is $4395.93 . Answer

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.