Answer:
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $100000.
1) When t is 1,
100000 = P(1+0.04/12)^12×1
100000 = P(1+0.0033)^12
100000 = P(1.0033)^12
P = 100000/1.04
P = $96154
2) When t is 10
100000 = P(1+0.04/12)^12×10
100000 = P(1+0.0033)^120
100000 = P(1.0033)^120
P = 100000/1.485
P = $67340
3) When t is 20
100000 = P(1+0.04/12)^12×20
100000 = P(1+0.0033)^240
100000 = P(1.0033)^240
P = 100000/2.2
P = $45455
4) When t is 30
100000 = P(1+0.04/12)^12 × 30
100000 = P(1+0.0033)^360
100000 = P(1.0033)^360
P = 100000/3.274
P = $30544
5) When t is 40
100000 = P(1+0.04/12)^12 × 40
100000 = P(1+0.0033)^480
100000 = P(1.0033)^480
P = 100000/4.862
P = $20568
6)When t is 50
100000 = P(1+0.04/12)^12 × 50
100000 = P(1+0.0033)^600
100000 = P(1.0033)^600
P = 100000/7.22
P = $13850
Alfonso will need to work 8 hours. What i did was multiply 8 by 6 which is 48 then subtracted 48 by 144 and got 96 then you divide that by 12 which is 8, and that is how many hours he will have to work.
Answer:
For w = 18 units perimeter is minimum
P = 2(18 + w)
Step-by-step explanation:
Given;
Area of the rectangle = 324 units²
P is the perimeter
w is the width
Let L be the length of the rectangle
therefore,
P = 2(L + w) ............(1)
also,
Lw = 324
or
L = ..........(2)
substituting 2 in 1
P =
now,
for minimizing the perimeter
= 0
or
= 0
or
= 0
or
= -1
or
w² = 324
or
w = 18 units
For w = 18 units perimeter is minimum
therefore,
from 2
L =
or
L = 18 units
objective function for P is:
P = 2(18 + w)
Which variable are you talking about? In this question x is 4 and y is 5.
Hope this helped!
Good Luck!
Answer:
x= "a certain number of inches"
side a= x-3
side b= 2 inches
multiply:
Area= a(b)
A= (x-3)2
A= 2(x-3)
distribute:
A= 2(x-3)
A= (2*x) + (2*-3)
A= 2x-6
Area= 2(x-3)
Area= 2x-6
Step-by-step explanation:
The area of the rectangle is equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x". Using the distributive property, we can solve this expression further to find that the area of this rectangle is also equal to six less than doubling a certain number x.