Answer:
$6407.73
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(n*t), where
P is the original amount (the principal), r is the interest rate as a decimal fraction, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $5000, r = 0.0625, n = 4 and t = 4. Thus,
A = $5000(1 + 0.0625/4)^(4*4), or
A = $5000(1.015625)^16 = $5000(1.2815) = $6407.73 (to the nearest cent)
<h3>The measure of angle y is 35.68 degrees</h3>
<em><u>Solution:</u></em>
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,
Thus measure of angle y is 35.68 degrees
Answer:
slope is -1/2 and y- intercept is 1/3
Step-by-step explanation:
use y=mx+b
m=slope
b= y-intercept
rearrange your equation
y=1/3-1/2x
y=-1/2x+1/3
The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296...
