Answer:
960
Step-by-step explanation:
The simple interest formula is the following:
I = P*r*t
Where I is the interest generated after t years, P is the inicial value and r is the rate of interest.
In this case, we have that the inicial value is P = 4000, the rate of interest is r = 8% = 0.08 and the amount of time invested is t = 3 years.
So, the interest will be:
I = 4000*0.08*3 = 960
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)
a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins
b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins
c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:
(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78
Answer:2x^2-√(3)
Step-by-step explanation:
Sign change in the conjugate
Therefore we have 2x^2-√(3)
Answer:the speed of the wind is 20 miles per hour.
Step-by-step explanation:
A Plane flies at x miles per hour in still air. This means that the normal speed of the plane is x miles per hour.
Let y represent the speed of the wind.
Flying with a tailwind, it's speed is 485 miles per hour. This means that
the total speed of the plane would be x + y. Therefore
x + y = 485 - - - - - - - - 1
Against the wind, it's air speed is only 445 miles per hour. This means that
the total speed of the plane would be x - y. Therefore
x - y = 445 - - - - - - - - - 2
Adding equation 1 and equation 2, it becomes
2x = 930
x = 930/2 = 465
Substituting x = 465 into equation 1, it becomes
465 + y = 485
y = 485 - 465
y = 20 miles per hour
You have to multiple... 7.0×7.0×7.0= 343.00... I hope this helps you
