Plz help me with these two questions

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

I cant see the color so i cant answer if u add the color i will answer

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You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of

qwelly [4]

The present value of an annuity is given by

$PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)$

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

$51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\ \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\ \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\ \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73$

Therefore, the <span>monthly payment is $1,259.73</span>

6 0

3 years ago

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What is the correct answer for this equation here?<br>3(4x – 7) = 135

S_A_V [24]

Answer:

x=13

Step-by-step explanation:

1. divide both sides by 3

2. simplify: 4x-7=45

3. add 7 to both sides

4. 4x=52