Answer:
x = 6i, -6i
Explanation:
x² = 1 - 37 (subtract)
x² = -36 (square root both sides)
x = ±√-36 (breakdown)
x = +√-36, -√-36 (simplify)
x = 6i, -6i
Answer:
The answer is C
Step-by-step explanation:
(5/6)(5/8) = 25/48
(25/48)(3/2) = 75/96
simplify 75/96 = 25/32
Answer:
100(x) /÷0p1
Step-by-step explanation:
t(x) factor 4
Answer:
Barry had the following:
8 bananas
12 apples
20 kiwi
32 peaches
8 grapefruit
4 mangos
88 total
Step-by-step explanation:
Each of the amounts of fruit can be written in terms of one variable. Starting with bananas as 'x', we can then make different values of 'x' to produce all the other numbers of fruits:
bananas = x
apples = 2x (twice as many bananas)
kiwi = 2.5x (5/6 of applies and bananas combined = 5/6(3x) or 2.5x)
peaches = 3.5x + 4 (sum of bananas and kiwis plus four = x + 2.5x + 4)
grapefruit = x (half as many apples = 2x/2)
mango = 0.5x (20% of kiwi = (0.2)(2.5)x)
88 = x + 2x + 2.5x + 3.5x + 4 + x + 0.5x
88 = 10.5x
8 = x (bananas)
apples = 2x or 16; kiwi = 2.5x or 20, peaches = 3.5x + 4 = 32, grapefruit = x or 8, mangos = 0.5x or 4
Answer:
$11,500 was invested at 13%.
$17,500 was invested at 4%
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
Loans totaling 29,000.
P was invested at 13%
29000 - P was invested at 4%.
First investment:
Principal P.
Interest 13% = 0.13.
One year, so t = 1.
So
Second investment:
Principal 29000 - P.
Interest 4% = 0.04.
One year, so t = 1.
So
The total interest earned for both loans was $2,195.00.
This means that 
So
So we solve the following system:
$11,500 was invested at 13%.
29000 - 11500 = 17500
$17,500 was invested at 4%
