Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y
x = 5d (given in question)
∴ x - 5d = 0
x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21
We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:
3d = 21
∴ d = 7
This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.
y = 7j (given in question)
∴ y - 7j = 0
y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16
If we use a similar method of elimination we get this:
4j = 16
∴ j = 4
Hence, from this we can concur that daniel is 7 and jessica is 4.
Answer:
The answer to your question is below
Step-by-step explanation:
Just cancel the parentheses and simplify
Result Addition
5xy² + 2x²y ⇒ (5xy² - x²y) + 3x²y = 5xy² + 2x²y
-3x²y - 2xy² ⇒ x²y + (-2xy² - 4x²y) = -3x²y - 2xy²
3x²y - 2xy² ⇒ 2x²y + (x²y - 2xy²) = 3x²y - 2xy²
5x²y + xy² ⇒ 4x²y + (x²y + xy²) = 5x²y + xy²
Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
Initial loan = ?
In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.
PV = FV / (1 + i)^n
PV = 75,210 / (1 + 0.085)⁸
PV = 75,210 / (1.085)⁸
PV = 75,210 / 1.9206
PV = 39,159.64
Initial loan is $39,159.64
total interest is $75,210 - 39,159.64 = $36,050.36
Answer:
The correct way to complete the sentences is as follows:
As Jimmy sells more hot dogs, his profit will increase.
Jimmy sells the hot dogs for $1 each.
Jimmy needs to sell 8 hot dogs to recover the money he invested.
If Jimmy sells 15 hot dogs, he will make $7 in profit.
To make $12 in profit, Jimmy would have to sell 20 hot dogs.
9514 1404 393
Answer:
$126
Step-by-step explanation:
110% more than 100% is 210% of his June earnings:
july = 2.10×$60 = $126
Silva is projected to make $126 in July.
_____
As always, you can think of % and /100 as being interchangeable.
210% = 210/100 = 2.10
