All categories

3 years ago

On a $500 loan, Carla paid $60 interest at a rate of 8%. How long did she have the loan?

Mathematics

1 answer:

Anni [7]3 years ago

5 0

Answer: 1 year, 5 months or 17 months

Step-by-step explanation:

Interest (I) = $60

Principal (P) = $500

Rate (R) = 8%

Time (T) =?

Since, Simple Interest (I) = (P x T x R) / 100

making T the subject of formula;

T = 100I / P x R

Inputting the values

T = 100 x 60 / 500 x 8

T = 6000 / 4000

T = 1 year, 5 months

You might be interested in

The diagram below shows two

LiRa [457]

Answer:

4 cm

Step-by-step explanation:

$\frac{8}{ST} = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4$

6 0

2 years ago

The segments shown below could shown a triangle. true of flase

Travka [436]

Answer:

True

Step-by-step explanation:

6 0

2 years ago

A store buys a digital watch for $80 and sells it for $95 what is the percent of increase

Marina86 [1]

About 1.19 %

80*1.19= 95.2 Since 2 is not 5 or above it get knocks down to 95 exactly

8 0

2 years ago

A ball is thrown from a height of 38 meters with an initial downward velocity of 3 m/s

ANTONII [103]

<h2>Hello!</h2>

The answer is:

The ball will hit the ground after $t=2.47s$

Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.

So,

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

We are given the function:

$h=-5t^{2}-3t+38$

Where,

$a=-5\\b=-3\\c=38$

Then, substituting it into the quadratic equation, we have:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}\\\\\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}=\frac{3+-\sqrt{9+760} }{-10}\\\\\frac{3+-\sqrt{9+760} }{-10}=\frac{3+-\sqrt{769} }{-10}=\frac{3+-27.731}{-10}\\\\t1=\frac{3+27.731}{-10}=-3.073s\\\\t2=\frac{3-27.731}{-10}=2.473s$