<u>Answer-</u>
<em>You need to deposit $337.62 each month, to reach this goal.</em>
<u>Solution-</u>
We know that,
![\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BFV%20of%20annuity%7D%3DP%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
Where,
P = periodic payment
r = rate per period
n = number of period
Here,

Putting the values,
![\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]](https://tex.z-dn.net/?f=%5CRightarrow%202500000%3DP%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D)
![\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cfrac%7B2500000%7D%7B%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D%7D)



We know that
the distance formula is
d=√[(y2-y1)²+(x2-x1)²]
point (0,0) and point <span>(–2, –4)
</span>d=√[(-4-0)²+(-2-0)²]---------> d=√[16+4]-------> d=√20
d=4.47 units
the answer is the option B
see the attached figure
Answer:
(64,86.5)
Step-by-step explanation:
find the case where he gets 70 and the case where he gets 79
if his average is 70:
(75+62+85+2x)/5=70
(222+2x)/5=70
222+2x=350
2x=128
x=64
if his average is 79:
(75+62+85+2x)/5=79
(222+2x)/5=79
222+2x=395
222+2x=395
2x=173
x=86.5
Hello :
<span>If f(x)= 3 ^x-1+ 4 and g(x) = 4x-7
(f-g)(x) = f(x) - g(x)= </span>3 ^x-1+ 4 - (4x - 7)
(f-g)(x) =3 ^x-1-4x +11.....( answer : a)