Answer:
I believe its A but I am not 100% positive
Step-by-step explanation:
This problem can be approached using the present value of annuity formula.
The present value of annuity is given by:
![PV=P \left(\frac{1-\left(1+\frac{r}{t}\right)^{-nt}}{\frac{r}{t}} \right)](https://tex.z-dn.net/?f=PV%3DP%20%5Cleft%28%5Cfrac%7B1-%5Cleft%281%2B%5Cfrac%7Br%7D%7Bt%7D%5Cright%29%5E%7B-nt%7D%7D%7B%5Cfrac%7Br%7D%7Bt%7D%7D%20%5Cright%29)
Where:: P is equal periodic payment, r is the annual interest rate, t is the number of payments in a year and n is the number of years for the loan to be paid.
Given that a<span> company borrows $84,700 for new equipment and that the company agrees to make quarterly payments for 9 years at 10% per year.
Thus, P = $84,700; n = 9 years and r = 10% = 0.1.
Since the payment is to be made quarterly, thus, in one year, there will be 4 payments. i.e. t = 4.
Thus, we have:
</span>
![84,700=P \left(\frac{1-\left(1+\frac{0.1}{4}\right)^{-9\times4}}{\frac{0.1}{4}} \right) \\ \\ =P\left( \frac{1-(1+0.025)^{-36}}{0.025} \right)=P\left(\frac{1-1.025^{-36}}{0.025}\right) \\ \\ =P\left(\frac{1-0.4111}{0.025}\right)=P\left(\frac{0.5889}{0.025}\right)=23.56P \\ \\ \therefore P= \frac{84,700}{23.56} =\$3,595.65](https://tex.z-dn.net/?f=84%2C700%3DP%20%5Cleft%28%5Cfrac%7B1-%5Cleft%281%2B%5Cfrac%7B0.1%7D%7B4%7D%5Cright%29%5E%7B-9%5Ctimes4%7D%7D%7B%5Cfrac%7B0.1%7D%7B4%7D%7D%20%5Cright%29%20%5C%5C%20%20%5C%5C%20%3DP%5Cleft%28%20%5Cfrac%7B1-%281%2B0.025%29%5E%7B-36%7D%7D%7B0.025%7D%20%5Cright%29%3DP%5Cleft%28%5Cfrac%7B1-1.025%5E%7B-36%7D%7D%7B0.025%7D%5Cright%29%20%5C%5C%20%20%5C%5C%20%3DP%5Cleft%28%5Cfrac%7B1-0.4111%7D%7B0.025%7D%5Cright%29%3DP%5Cleft%28%5Cfrac%7B0.5889%7D%7B0.025%7D%5Cright%29%3D23.56P%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20P%3D%20%5Cfrac%7B84%2C700%7D%7B23.56%7D%20%3D%5C%243%2C595.65)
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Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
OK so the answer- you know the a/b=m/n, and a/b is not =x/y. Because of the fact that m/n=a/b, you can use the substitution property of equality to say that m/n is not =x/y
Answer:
Yes, Yes, No, No, No
Step-by-step explanation:
A integer is any natural number (positive or negative) with the inclusion of zero. Negatives or decimals and fractions do not qualify as integers.