Answer:
$148.02
Step-by-step explanation:
In the question
Principal = $100, rate(R) = 4% compounded annually, time(T)= 10 years
we know that the formula for compound interest
A=
where A is amount
now putting values in the above formula we get
A=![100\times_(1+\frac{4}{100} )^{10}](https://tex.z-dn.net/?f=100%5Ctimes_%281%2B%5Cfrac%7B4%7D%7B100%7D%20%29%5E%7B10%7D)
therefore A= $148.024428
rounding off to the nearest penny we get amount as $148.02 and compound interest will be $48.02
Answer:
X= 1/8
Step-by-step explanation:
i got u
To find the x intercept,plug a zero in for y and solve.
To find the y intercept,plug a zero in for x and solve.
y = 7x + 3
g = 7(0)+3
y = 3
(0,3)
y = 7x + 3
0 = 7x + 3
Subtract 3 from both sides.
-3 = 7x
Divide both sides by 7
-3/7 = x
(-3/7, 0)
The y intercept of a graph containing the two points (3,1) and (7,-2) is ![\frac{13}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D)
<em><u>Solution:</u></em>
Given points are (3, 1) and (7, -2)
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
Where, "m" is the slope of line and "c" is the y intercept
<em><u>Let us first find the slope of line</u></em>
The slope of line is given as:
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here the points are (3, 1) and (7, -2)
![(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%283%2C%201%29%5C%5C%5C%5C%28x_2%2C%20y_2%29%20%3D%20%287%2C%20-2%29)
Substituting in formula, we get
![m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2-1%7D%7B7-3%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-3%7D%7B4%7D)
To find the y intercept:
![\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }](https://tex.z-dn.net/?f=%5Ctext%7BSubstitute%20%7D%20m%20%3D%20%5Cfrac%7B-3%7D%7B4%7D%20%5Ctext%7B%20and%20%7D%20%28x%2C%20y%29%20%3D%20%283%2C%201%29%20%5Ctext%7B%20in%20eqn%201%20%7D)
![1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%7B-3%7D%7B4%7D%20%5Ctimes%203%20%2B%20c%5C%5C%5C%5C1%20%3D%20%5Cfrac%7B-9%7D%7B4%7D%20%2B%20c%5C%5C%5C%5C%20%5Ctext%7BSimplify%20the%20above%20equation%20%7D%20%5C%5C%5C%5C1%20%3D%20%5Cfrac%7B-9%2B4c%7D%7B4%7D%5C%5C%5C%5C4%20%3D%20-9%20%2B%204c%5C%5C%5C%5C13%20%3D%204c%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20by%204%20%7D%5C%5C%5C%5Cc%20%3D%20%5Cfrac%7B13%7D%7B4%7D)
Thus y -intercept is ![\frac{13}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D)
Answer:
8/9 (simplified)
Step-by-step explanation:
Total marbles = 18
Total of marbles <em>not</em> white = 16
Numerator = 16 / Denominator = 18
= 16/18
= 8/9 (simplified)