Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years
-total number of pumpkins
First witch took
pumpkins.
The number of pumpkins remained
Second witch took
The number of pumpkins remained
Third witch took
Ghost took 3 pumpkins. The number of pumpkins remained is 3,6 or 9.
Solve equation for each case.
1)
2)
3)
Only equation 2) has a solution which is a whole number: 25
The total number of pumpkins is 25.
1. Tell you answer, 4+4+6x4=32
2. Answer, 10x2+20x3=80
3. Answer, 32x10x3+12x10=1080
Ok is done.
Answer:
y=0.3x - 7.6
Step-by-step explanation:
line: y=ax+b
a= Δy ÷ Δx
a= (-9 + 7) ÷ (-5 - 2)
a= -2 ÷ -7 = approximately 0.3
y=0.3x + b
Now you can fill in one of the points to find b (or both to make sure you got the answer right).
0.3 × 2 + b = -7
0.6 + b = -7
b = -7 - 0.6 = approximately -7.6
So: an equation of the line that passes through this pair of points is y=0.3x - 7.6
On a test, i would write as many decimals as possible if not said not to, to get the most exact answer. Also remember to keep calculating with the number on your calculator and not to round them off for the most exact answer.
Answer:
c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2