We can make and use the equation: <em>A = 160( 1.03 )^y</em>: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
The value of 3ab+5b-5 is 18
Answer:
Step-by-step explanation:
<u>Use properties of rhombus:</u>
- diagonals are perpendicular
- diagonals are angle bisectors
- opposite angles are equal
<u>The angle measures are:</u>
- m∠2 = 90°
- m∠3 = 70°
- m∠1 = m∠4 = 90° - 70° = 20°
Assuming that the units of speed are also in minutes, for instance km/min or m/minute. Then you would not need to convert time into another unit. As for multiplying the bases of 10, remember that 10 = 10^1. So it would be 10^8+1 = 10^9. So the result would be 24 • 10^9 but in proper scientific notation it would be 2.4 • 10^10.
Yet, I believe you are working with the speed of light and thus you would need to convert 8 minutes into seconds which would be 8 • 60 = 480 seconds. Then do the following operation:
480 = 4.80 X 10^2
(4.80 X 10^2 seconds)(3.00 X 10^8 metres/second)
Simply multiply the whole numbers, and the bases of 10, and put in proper scientific notation.
Step-by-step explanation:
m<5=180-m<4 (linear pair)
m<5=180-125 = 55°
m<5=m<1 ( alternate angle)
therefore, m<1 = 55°.
hope this helps you.
