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Anna [14]
3 years ago
15

Lincoln invested $440 in an account paying an interest rate of 5\tfrac{7}{8}5 8 7 ​ % compounded continuously. Robert invested $

440 in an account paying an interest rate of 5\tfrac{1}{2}5 2 1 ​ % compounded daily. After 11 years, how much more money would Lincoln have in his account than Robert, to the nearest dollar?
Mathematics
1 answer:
Sidana [21]3 years ago
5 0

Answer: $34

Step-by-step explanation:

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Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)
alex41 [277]

Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

4 0
2 years ago
Write in standard notation. 6.9 × 10^-3
Dafna1 [17]

0.0069

Step-by-step explanation:

6.9 move the decimal 3 places to the left

8 0
3 years ago
Can someone help me with this plz
Temka [501]
The answer is 3 because 3 cubed is 27
8 0
3 years ago
What is the length of the side of a square whose perimeter, p, is doubled?
Sladkaya [172]

Answer: The perimeter of a square is defined as the length that its boundary covers. The formula to calculate the perimeter of a square is given as: P = 4 × side.

Step-by-step explanation:

8 0
2 years ago
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Round 0.866 to the nearest tenth​
Scilla [17]

To round 0.866 to the nearest tenth consider the hundredths' value of 0.866, which is 6 and equal or more than 5. Therefore, the tenths value of 0.866 increases by 1 to 9.

The answer is <u><em>0.9</em></u>

plz mark me as brainliest if this helped :)

4 0
3 years ago
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