Answer:
Step-by-step explanation:
Okay so we were given a formula to figure this out.
A=p(1+r)^t
A= future balance- is unknown
p=Current balance-2,000
R=rate of interest-20%
T=time in years-10 years
so we need to plug em in
A=2,000(1+20%)^10
so now we need to do PEMDAS(Order of operations)
so we need to do whats in the parenthesis first.
20%+1=2.1
now we need to do exponent
a=2,000+2.1^10
2.1^10=1667.98
A=2,000+1667.98
A=3,667.98
now we need to round to the nearest dollar
B=4,000
is your answer
Answer:
Step-by-step explanation:
The horse trots in a circle around its trainer at the end of a 22-foot-long rope. This means that the radius of the circle is 22 feet.
The formula for determining the area of a circle is expressed as
Area = πr²
Where r represents the radius of the circle.
π is a constant whose value 3.14
Therefore,
Area = 3.14 × 22² = 1519.76
Rounding to the nearest foot, the area of the circle is
1520 feet²
Answer:
Step-by-step explanation:
-------------------------- (1)
-------------------------- (2)
Multiply Eq. (1) by 13 and (2) by 9
<u>Equation (1):</u>
--------------------(3)
<u>Equation (2):</u>
------------------------(4)
Subtract Eq. (2) from (1)
39x - 36x = -264
3x = -264
Dividing both sides by 3
x = -88
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
<u>Put x = -88 in Eq. (1)</u>
3(-88)+9y³ = -21
-264 + 9y³ = -21
9y³ = -21 + 264
9y³ = 243
Dividing both sides by 9
y³ = 27
Taking cube root on both sides
y = 3
Ordered Pair = (x,y) = (-88,3)
Hope this helped!
<h3>~AnonymousHelper1807</h3>
Answer:
10 years
Step-by-step explanation:
Let c and s represent the populations of Canyon Falls and Swift Creek, respectively. For time t in years, the respective populations are ...
c = 22500 -740t
s = 15200 +1500t
We want to find t when s = 2c.
s = 2c
15200 +1500t = 2(22500 -740t)
2980t = 29800 . . . . . add 1480-15200, simplify
29800/2980 = t = 10 . . . . divide by the coefficient of t
The population of Swift Creek will be double that of Canyon Falls in 10 years.
