The interest earned would be $481.62.
The total amount of money in her account would be $16,377.12.
<h3>Determining interest after 10 years </h3>
Interest = future value - amount deposited
$3000 (1.015)^10 = $3,481.62
Interest = $3,481.62 - $3000 = $481.62
<h3>Determining the future value of the account.</h3>
Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85
Future value of the annuity = amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722
Future value = 10.702722 x $1,200 = $12,843.27
Total future value = $12,843.27 + $3,533.85 = $16,377.12
To learn more about future value, please check: brainly.com/question/18760477
A dilation is a transformation (notation) that produces an image that is the same shape as the original, but is a different size.
Answer:
Step-by-step explanation:
$1800 is spent on a washing machine. This number never changes, so we just need to add that to our annual total
$89 is spent every year. This means that this number needs to be with our variable, x, as it is dependent on the number of years that occur. When we put these two things together, we get the following equation:
Answer:
4. A
5. B
Step-by-step explanation:
4. I'll solve question four first:
The two marked points on the line are (-2, -3)&(2, 5). Using the formula to find slope(y2-y1/x2-x1), substitute in the points.
5--3/2--2 or 8/4;simplified to 2/1 or 2.
Now use point-slope form: y-y1 = m(x-x1)
y--3 = 2(x--2): Substitute in the values of y1, m, and x1.
y+3 = 2x + 4: Distribute.
y = 2x + 1: Subtract three from both sides.
5. Do the same for question 5.
The first point is (-4, 2), the second point is (4, -1).
-1-2/4--4; -3/8.
Now use point-slope form:
y-2 = -3/8x -12/8: Substitute in the values of x1, y1, m, and distribute the slope to the parentheses.
y = -3/8x + 1/2
1.625 rounded to the nearest hundredth is 1.63
