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skelet666 [1.2K]
2 years ago
14

If Jamie has five dollars and purchases a soda for one dollar and fifteen cents, how much change does Jamie get back

Mathematics
2 answers:
Allisa [31]2 years ago
7 0

5.00-1.15=3.85

You get this answer by "borrowing" from the 5, the first 0 becomes a 10, cross it out it becomes a 9, the second 0 becomes a 10.

4-1=3, 9-1=8, and 10-5=5


nika2105 [10]2 years ago
3 0
5.00
-
1.15
--------
3.85
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Victor earns a gross annual income of $64,570 and is buying a home for $125,340. He is making a 15% down payment and financing t
Oliga [24]
Part A:

Given that <span>Victor is buying a home for $125,340 and that he is making a 15% down payment.

The amount of down payment is given by 15% of $125,340 = 0.15 x $125,340 = $18,801.

Therefore, the amount of mortgage he needs to borrow is given by $125,340 - $18,801 = $106,539


Part B

</span>Given that he earns a gross annual income of $64,570 <span>and that the loan of $106,539 will be spread for 20 years at 3.75% interest.

$106,539 / 20 = $5,326.95

Roughly he will be paying about $5,000 every year which is way below his annual gross income. 

Therefore, he can afford the mortgage.


Part C

The monthly mortgage payment can be calculated using the present value of annuity formula given by

</span>PV=P\left( \frac{1-\left(1+\left( \frac{r}{t} \right)\right)^{-nt}}{ \frac{r}{t} } \right)
<span>
where: PV is the current value of the loan, P is the periodic (monthly) payment, r is the annual interest rate, t is the number of payment in one year and n is the number of years.

Here, PV = </span>$106,539; r = 3.75% = 0.0375; t is 12 payments in one year (since payment is to be made monthly); n = 20 years.

Thus, we have:

106,539=P\left( \frac{1-\left(1+\left( \frac{0.0375}{12} \right)\right)^{-20\times12}}{ \frac{0.0375}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+0.003125\right)^{-240}}{0.003125} \right)=P\left( \frac{1-\left(1.003125\right)^{-240}}{0.003125} \right) \\  \\ =P\left( \frac{1-0.472919}{0.003125} \right)=P\left( \frac{0.527081}{0.003125} \right)=168.666P \\  \\ \Rightarrow P= \frac{106,539}{168.666} =631.66

Therefore, the monthly mortgage payment is $631.66


Part D

Since he will make a monthly payment of $631.66 for 20 years, thus he will make a total of $631.66 x 12 x 20 = $151,598.40

Therefore, his total payment for the house will be $151,598.40


Part E

Since he will make a total payment of $151,598.40 for a mortgage loan of $106,539.

Therefore, the amount of interest he will pay is given by $151,598.40 - $106,539 = $45,059.40
7 0
3 years ago
What is the square root of 4.84
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Answer:

2.2. Hope it helps :D

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What is the variable equal to? t • 5 = 60
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Answer:

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The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

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2x^3 + x^3 - 3x^3

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x^3

=> (-4x^2) + (6x^2) + (2x^2)

-4x^2 + 8x^2

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=> (6x) + (-8x) + (-4x)

6x - 8x - 4x

-6x

=> (-3) + (12) +(-7)

-3 + 12 - 7

2

The answer = x^3 - 6x + 2

5 0
2 years ago
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