Answer:
Future value of annuity (FV) = $13,782.12 (Approx)
Step-by-step explanation:
Given:
Periodic payment p = $500
Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)
Number of period n = 5 x 4 = 20 quarter
Find:
Future value of annuity (FV)
Computation:
![Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\](https://tex.z-dn.net/?f=Future%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3Dp%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%20%5D%20%5C%5C%5C%5CFuture%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3D500%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B20%7D-1%7D%7B0.0325%7D%20%5D%20%5C%5C%5C%5CFuture%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3D13%2C782.1219%20%5C%5C%5C%5C)
Future value of annuity (FV) = $13,782.12 (Approx)
Answer:
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Step-by-step explanation:
Have a Great Day!!!
Answer:
The roots of the equation are x =
and x = ![\frac{3-\sqrt{151}i}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3-%5Csqrt%7B151%7Di%7D%7B10%7D)
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x = ![\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
in the above given equation
a = 5
b = -3
c = 8
therefore,
x = ![\frac{-(-3)\pm\sqrt{(-3)^2-4\times5\times8}}{2\times5}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-3%29%5Cpm%5Csqrt%7B%28-3%29%5E2-4%5Ctimes5%5Ctimes8%7D%7D%7B2%5Ctimes5%7D)
or
x = ![\frac{3\pm\sqrt{9-160}}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpm%5Csqrt%7B9-160%7D%7D%7B10%7D)
or
x =
and x = ![\frac{3-\sqrt{-151}}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3-%5Csqrt%7B-151%7D%7D%7B10%7D)
or
x =
and x = ![\frac{3-\sqrt{151}i}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3-%5Csqrt%7B151%7Di%7D%7B10%7D)
here i = √(-1)
Hence,
The roots of the equation are x =
and x = ![\frac{3-\sqrt{151}i}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3-%5Csqrt%7B151%7Di%7D%7B10%7D)
and there are no real roots of the equation given above
<span><span>Find the GCD (or HCF) of numerator and denominator
GCD of 420 and 450 is 30</span><span>Divide both the numerator and denominator by the GCD
(420/30)/(450/30)</span><span>Reduced fraction: 14/15</span></span>
Equivalent fractions
Answer:
The Probability of both happening is <u>0.304</u>.
Step-by-step explanation:
P(A) × P(B)
= 0.76 × 0.4
= <u>0.304</u>