Answer:
$712.
Step-by-step explanation:
We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.
Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.
Answer:
X=58 degrees
Step-by-step explanation:
So We can start by finding the angle thats supplementary to 109.
Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.
109+y=180
Solve that by isolating the y and you would get 71 as the missing side.
Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.
Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.
71+51+x=180
Combine like terms
122+x=180
Isolate the X
x=58
So x is 58 degrees.
Answer:
the graph is 1/2, y intercept is -6, last one in -7
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:
x^(3/5)
This would be written as:
![\sqrt[5]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D)
Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.
Because the denominator is 5, we find the 5th root:
![\sqrt[5]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E4%7D)
This matches none of the answers shown, so the answer is none of the above or D.
