One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
Answer:
$38,500
Step-by-step explanation:
Take the $385, then divide it by the percentage you know, 1 percent (.01 as a decimal) 385/.01 = $38,500, which is your answer.
Hopefully this helps - let me know if you have any questions!
Answer:
y=-2x-7
Step-by-step explanation:
y=-2x
y-y1=m(x-x1)
y-(-7)=-2(x-0)
y+7=-2(x)
y+7=-2x
y=-2x-7
The x-coordinate in the solution of the system of equations y = -2/3x and 4x - 9y = -40 is -4
<h3><u>Solution:</u></h3>
<em><u>Given that system of equations are:</u></em>
------- eqn 1
------ eqn 2
We have to solve the above given system of equations and find the x - coordinate
<em><u>Substitute eqn 1 in eqn 2 and solve for "x"</u></em>
x = -4
Thus the x-coordinate in the solution of the system of equations is -4
