from question d = 16t^2 = 56-4t
=》 16t^2 -56 + 4t =0
=》 4t^2 - 14 + t = 0
=》 (4t-7)(t+2) =0
=》 t = 1.75 seconds
The value of x is 12. 94°
<h3>How to determine the angle</h3>
From the diagram shown, we can see that the two angles are on a straight line.
It is important to note that angles on a straight line sum up to 180 degrees
Hence, we have;
(11x- 15) + 5x - 12 = 180°
collect like terms
11x + 5x - 15 - 12 = 180
Add like terms
16x - 27 = 180
16x = 180 + 27
16x = 207
Make 'x' the subject of formula
x = 207/ 16
x = 12. 94°
Thus, the value of x is 12. 94°
Learn more about angles here:
brainly.com/question/14362353
#SPJ1
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
Answer:
Increase in the length of one side = 3.8 ft
Step-by-step explanation:
Yossi has garage whose area is 280 ft²
After rebuilt their is increment in area by 50%
New Area = 280 × 150% = 420 ft²
Also we know that Area of Square = (Length) × (Length)
⇒ Length of Newly built garage = √420 = 20.5 ft
and Length of Originally garage = √280 = 16.7 ft
⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft
