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Klio2033 [76]
2 years ago
8

Nico makes annual end-of-year payments of $5,043.71 on a four-year loan with an interest rate of 13 percent. The original princi

pal amount was ________.
Mathematics
1 answer:
natita [175]2 years ago
5 0

We need to find the principal amount on an interest rate of 13% where the end of year payment is $5043.71.

The original amount is \$15002.37.

i = Interest rate = 13%

n = Compounding period = 4 years

E = End of year payment = $5043.71

The required formula is

P=\dfrac{E[1-(1+i)^{-n}]}{i}\\\Rightarrow P=\dfrac{5043.71[1-(1+0.13)^{-4}]}{0.13}\\\Rightarrow P=\$15002.37

The original principal amount was \$15002.37.

Learn more:

brainly.com/question/2284670

brainly.com/question/13900121

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Bryan is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 15 km/h. After
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Part A.

What we can do to solve this problem is to assume that the acceleration of Bryan is constant so that the velocity function is linear. The standard form of a linear function is in the form:

y = m x + b

or in this case:

v = m t + b

where v is velocity and t is time, b is the y –intercept of the equation

The slope m can be calculated by:

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m = (12 – 15) / (7 – 4)

m = -1

Since slope is negative therefore this means the cyclist are constantly decelerating. The equation then becomes:

v = - t + b

Now finding for b by plugging in any data pair:

15 = - (4) + b

b = 19

So the complete equation is:

v = - t + 19

This means that the initial velocity of the cyclists at t = 0 is 19 km / h.

 

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bezimeni [28]

Answer:

Step-by-step explanation:

x         6         a

8       48        c  

-4        b       20

Let the unknown numbers of the multiplication grid are a, b and c.

1). 6 × 8 = 48

2). (-4)×6 = b

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3). (-4) × a = 20

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4). 8 × a = c

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Therefore, missing in the given multiplication grid are,

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