<span>y" + 9y = 0
m^2 + 9 = 0
m = ± 3i
yH = C1 cos 3t + C2 sin 3t
yP = C3 t sin 3t + C4 t cos 3t
hope this helps </span>
Answer:
mold
Step-by-step explanation:
Male betta fish will place the eggs into a bubble nest, which he will create. The baby betta fish will hatch in about three days. As they hatch, male betta fish will watch and remain under the bubble nest, catching any eggs that fall out. Once hatched, the babies are called "fry" and are very tiny.
This is the difference of 2 squares
square root of a^6 = a^3
and square root of 25 b^2 = 5b so we get
(a^3 + 5b)(a^3 - 5b)
Thats the answer
<span>We know that OB bisects EC where they intersect would be at point O,
so the two lengths EO and OC must be equal.
2x - 20 = 70 - x
</span>[adding x + 20 to each side]
2x - 20 + x + 20 = 70 - x + x + 20
[simplifying]
<span>3x = 90
</span>[dividing each side by 3]
<span>
x = 30 would be the answer</span>
Answer:
$1166.08 is the monthly payment for the mortgage per month.
Step-by-step explanation:
The meaning of this stated formula on the statement is the present annuity formula because we will have future monthly payments on the mortgage of the house in which they pay off the present value of the house which is $240000 x 80% = $ 192000 as this amount will excludes the down payment of 20% that is made.
We are given Pv the present value which excludes the down payment $192000.
We have the interest rate i which is 1.2%/12 as it is compounded monthly.
n is the number of payments made over a period which is 12 x 15 years= 180 payments as it is compounded monthly.
no we substitute the above mentioned information to the present value annuity formula stated to calculate R the monthly payment:
Pv = R[(1-(1+i)^-n)/i]
$192000 = R[(1-(1+(1.2%/12))^-180)/ (1.2%/12)] divide both sides by the coefficient of R
$192000/[(1-(1+(1.2%/12))^-180)/(1.2%/12)] = R
$1166.08 =R which this is the amount that will be paid for the mortgage every month for 15 years.
