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kipiarov [429]
2 years ago
8

Laura took out a loan of $25,000 for a term of 60 months ( 5years) at an interest rate 7.5% use th amortization table provided t

o complete the statement

Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.

Step-by-step explanation:

Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:

20.04 x 25 = X

501 = X

Thus, the monthly payments that Laura will have to make will be $ 501.

(501 x 12 x 5) - 25,000 = X

30,060 - 25,000 = X

5,060 = X

In turn, the total finance charge will be $ 5,060.

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What is the angles mSRW?
Scilla [17]

Answer:

126°

Step-by-step explanation:

(2x +18)° = (3x)°

2x + 18 = 3x

18 = 3x - 2x

18 = x

therefore, (3x)° = (3*18)°= (54)°

m\angle SRW + (3x)\degree = 180\degree \\m\angle SRW + 54\degree  = 180\degree \\m\angle SRW = 180\degree  - 54\degree  \\\huge\red{\boxed{m\angle SRW = 126\degree}}

5 0
3 years ago
Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
Triangle ABC has vertices at A(-3,4)B(4,-2)C(8,3).The triangle is translated 4 units down and 3 units left . Which rule represen
FinnZ [79.3K]

Answer:

see explanation

Step-by-step explanation:

A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is

(x, y ) → (x - 3, y - 4 )

Thus

C(8, 3 ) → C'(8 - 3, 3 - 4 ) → C'(5, - 1 )

8 0
3 years ago
Check all of the ordered pairs that satisfy the equation below.y=2/5x
zvonat [6]

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

y=\frac{2}{5}\cdot14=\frac{28}{5}

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

y=\frac{2}{5}\cdot40=\frac{80}{5}=16

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

y=\frac{2}{5}\cdot10=\frac{20}{5}=4

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

y=\frac{2}{5}\cdot50=\frac{100}{5}=20

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

y=\frac{2}{5}\cdot30=\frac{60}{5}=12

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0
1 year ago
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (inc
myrzilka [38]

Answer:

155.53

Step-by-step explanation:

I know where this question is from hahaha

6 0
3 years ago
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