Answer:
$14,277.80
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case;
P = $7,400
t = 8 years
n = 4 (quarterly)
r = 9.5% = 0.095
Using equation 1.
A = $7,400(1+0.095/4)^(4×7)
A = $7,400(1.02375)^(28)
A = $7,400(1.929432606035)
A = $14,277.80
final amount/value after 8 years A =$14,277.80
Answer:
9 pigs
Step-by-step explanation:
We have the following numbers of heads:
pigs (p) + chickens (c) = 16 animal heads (1)
And the following numbers of feet:
4p + 2c = 50 animal feet (2)
From equation (1):
p = 16 - c (3)
By entering equation (3) into (2) we have:
4(16 - c) + 2c = 50
64 - 4c + 2c = 50
c = 7
Now, entering the value of c into equation (3) we have the next value of p:
p = 16 - c
p = 16 - 7
p = 9
Therefore, the number of pigs that Henry has is 9.
I hope it helps you!
Answer:
Step-by-step explanation:
If the window is truly a rectangle then both diagonals are equal. That's one of the properties of a rectangle.
Answer: 10 feet
-2 -13.8x = -8 -6x -1
First, I distributed the negative 1 that was outside of the parentheses to the positive 6x and the positive 1.
-2 -13.8x = -9 -6x
Then I added the negative 8 to the negative 1 which equals negative 9.
-2 -13.8x +6x = -9 -6x +6x
After that I used the addition property and added a positive 6x to both sides.
-2 -7.8x = -9
Then simplifying.
+2 -2 -7.8x = -9 +2
After simplifying, I used the addition property again, adding a positive 2 to both sides.
-7.8x = -7
Simplified.
-7.8x (-1) = -7 (-1)
Then I multiplied both sides by with a negative 1 since the variable cannot be a negative.
7.8x = 7
Simplified
(1/7.8) 7.8x = (1/7.8) 7
Then, to isolate the veriable, I multiplied 1/7.8 to both sides.
x = 1.11428571429
The answer !
I hope this helped !
