0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet
0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet
Answer:
C. x = 8 , y = 40
Step-by-step explanation:
since this is an Isosceles triangle 5x = 40° and x = 8
The sum of interior angles in a triangle is equal to 180°
40° + 5x + 2y + 20 = 180° add like terms
5x + 2y = 120
40 + 2y = 120 ➡ 2y = 80 and y = 40
Estimation: 500×7=3,500
Product: 503×7=3,521
A man invests $2000 into an account that accrues 8.5% interest compounded quarterly. He made the deposit of 2 years , i.e. for 8 quarters ( or 8 compounding periods)
Amount after n years is calculated by following equation :
Amount = Principal * ( 1 + Interest rate per compounding period ) ^ no. of compounding periods
The amount in his account after 2 years = 2000 * ( 1 + 0.085/4) ^ 8
= 2000 * (1.02125 ) ^ 8
= 2000 * 1.18319
= $2366.39
Answer:
f(x) = 4(1.02)^(7x); spreads at a rate of approximately 2% daily
Step-by-step explanation:
The weekly number of people infected is:
f(x) = 4(1.15)^x
So the daily number of people infected is:
f(x) = 4(1+r)^(7x)
To find the value of the daily rate r, we set this equal to the first equation.
4(1.15)^x = 4(1+r)^(7x)
(1.15)^x = (1+r)^(7x)
(1.15)^x = ((1+r)^7)^x
1.15 = (1+r)^7
1.02 = 1+r
r = 0.02
So the equation is f(x) = 4(1.02)^(7x), and the daily rate is approximately 2%.
