Answer:
$976,578.71
Step-by-step explanation:
We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...
A = P(1+r)((1+r)^n -1)/r
where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.
A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71
The future value is $976,578.71.
Using how tall it is over how wide
=>tall/wide
The model 15in/1.5in
The actual x/55ft
Convert everything into the same units so 55ft to inches
There are 12in in 1ft
55ft * 12in/1ft
The ft cross out leaving in
55*12in= 660 in
So
15in/1.5in = x/660in
Now solve for x my multiplying both side by 660in
660in *15in/1.5in=x
x= 6600in tall
Perpendicular lines will meet at a 90 degree angle (a right angle)...so ur answer is B
Step-by-step explanation:
Given the height of the rocket y in feet related to time after launch x related by the equation:
Y=-16x^2+189x+79
The rocket will hit the ground when y = 0
The equation will become:
0=-16x^2+189x+79
Rearrange
-16x^2+189x+79 = 0
multiply though by minus
16x^2-189x-79 = 0
Factorize and solve for x:
x = 189±√189²-4(16)(-79)/2(16)
x = 189±√35721+5056/32
x = 189±√40777/32
x = 189±201.93/32
x = 189+201.93/32
x = 390.93/32
x = 12.22secs
hence the rocket will hit the ground after 12.22seconds (to the nearest hundredth of a sec)
