To solve this we are going to use formula for the future value of an ordinary annuity:
![FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3DP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
where
is the future value
is the periodic payment
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the number of years
We know from our problem that the periodic payment is $50 and the number of years is 3, so
and
. To convert the interest rate to decimal form, we are going to divide the rate by 100%
Since the interest is compounded monthly, it is compounded 12 times per year; therefore,
.
Lets replace the values in our formula:
![FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]](https://tex.z-dn.net/?f=FV%3D50%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.04%7D%7B12%7D%20%29%5E%7B%2812%29%283%29%7D%20-1%7D%7B%20%5Cfrac%7B0.04%7D%7B12%7D%20%7D%20%5D)
We can conclude that after 3 years you will have $1909.08 in your account.
The given equation is: 
To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.
The equation to a line perpendicular to it is:
$ 2y-x=c$
where, $c$ is some constant we have determine using the condition given.
It passes through $(2,-1)$
Put the point in our equation:
$2(-1)-(2)=c$
$c=-2-2$
$c=-4$
The final equation is:
$\boxed{ 2y-x=-4}$
Answer:
(9 × 100) + (2 × 1) + (6 × 0.1) + (4 × 0.001)
Step-by-step explanation:
I am pretty sure
Answer:
- X = 70°
- arc ZY = 140°
- arc XY = 82°
Step-by-step explanation:
The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
<h3>Theorems</h3>
The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
<h3>Solutions</h3>
Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...
X = 180° -110° = 70°
arc ZY = 2×70° = 140°
arc XY = 2×41° = 82°
Answer:
Option 3
y + 16 = 8(x + 2)
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- x = 2, 4, 6, 8
- y = 16, 32, 48, 64
Now, Put the values in equation 1
y – 16 = 8(x – 2)
y – 16 = 8(x – 2)
16 – 16 = 8(2 – 2)
0 = 8
Here, L.H.S ≠ R.H.S
So, Option 1 is incorrect
Now, Put the values in equation 2
y – 16 = 8x – 2
y – 16 = 8x – 2
16 – 16 = 8(2) – 2
0 = 14
Here, L.H.S ≠ R.H.S
So, Option 1 is incorrect
Now, Put the values in equation 3
y + 16 = 8(x + 2)
y + 16 = 8(x + 2)
16 + 16 = 8(2 + 2)
32 = 8(4)
32 = 32
Here, L.H.S = R.H.S
Check other values of x and y
y + 16 = 8(x + 2)
32 + 16 = 8(4 + 2)
48 = 8(6)
48 = 48
Here, L.H.S = R.H.S
y + 16 = 8(x + 2)
48 + 16 = 8(6 + 2)
64 = 8(8)
64 = 64
Here, L.H.S = R.H.S
y + 16 = 8(x + 2)
64 + 16 = 8(8 + 2)
80 = 8(10)
80 = 80
Here, L.H.S = R.H.S
Thus, The equation 3 in point-slope from gives the plant's height at any time.
<u>-TheUnknownScientist 72</u>
