Answer:
$33750
Step-by-step explanation:
Replace t with 2. The correct formula is
(t is an exponent)
With t = 2, the value of the truck is
Answer:
Step-by-step explanation:
If we look, "y" can be factored out of the entire expression because it goes into them all. This gives y(2x^3 - 4x^2 + 8x - 16)
Since everything inside the brackets is a multiple of 2 we can factor it out.
2y (x^3 - 2x^2 + 8x - 16)
Here to factor (x^3 - 2x^2 + 8x - 16) we could either use a calculator, or notice that when we subsitute 2 into the equation, it equals 0. Therefore (x - 2) must be a factor. The other factor must be (x^2 + 8) because:
(x - 2) ( )
We need to have 1 x^3 so we know the first part of the factor must be x^2
The also need to have -16 when we multiply this out, -2 * something equals -16. Meaning we must have 8 inside of the brackets.
This gives :
(x - 2) (x^2 + 8).
When we expand this out we get (x^3 - 2x^2 + 8x - 16)
Therefore in total we have
2y (x - 2)(x^2 + 8)
There are other methods of factorising (x^3 - 2x^2 + 8x - 16), so use the method which you have been taught in class or the one I used.
The ending balance in the account is $18,937.5
Step-by-step explanation:
Simple Interest Equation (Principal + Interest) is A = P(1 + rt), where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal)
- t is the time the money is invested or borrowed for
Dylan deposited 15,000 in an account that pays 7.50% simple interest for 3.5 years. We need to find the ending balance in the account
∵ Dylan deposited 15,000 in an account
∴ P = 15,000
∵ The account pays 7.5% simple interest for 3.5 years
∴ r = 7.5% = 7.5 ÷ 100 = 0.075
∴ t = 3.5
- Substitute all of these values in the rule above
∴ A = 15,000(1 + 0.075 × 3.5)
∴ A = 15,000(1 + 0.2625)
∴ A = 15,000(1.2625)
∴ A = 18,937.5
The ending balance in the account is $18,937.5
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Answer:
(x – 3)(x + 5)(x + ½) = (x2 + 2x – 15)(x + ½) = x3 + 2.5x2 – 14x – 7.5
Not a real number because a negative number is imaginary
