Choose the correct equation for the line shown on the graph below

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Step-by-step explanation:

We can write the equation of a straight line as y=mx+b, with m being the slope. We know two points to be (-4,0) and (0,-1) in the (x,y) format. The slope is change in y/change in x, so we can subtract -1 from 0 (-1 is the second y coordinate) and 0 from -4 (0 is the second x coordinate) to get 1/(-4) as our slope. Then, we plug a point in, like (0,-1). We plug that into our formula, y=mx+b. We know that x=0, y=-1, and m(slope)=-1/4, so we can plug that in to get -1=(-1/4)(0)+b, or -1=b. Our equation is then y=(-1/4)x+-1 as our equation should have y and x left open for specific points

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The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

For the considered case, we're given that:

Initial amount Laura deposited = $5,500 = P
Type of interest: Compound interest
Unit of time: Annually
Rate of interest = 1.6% annually = R
Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

$A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)$

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

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