Question

A loan for $3,000 with a simple annual interest rate of 17% was made on June 14th and was due on August 16th the loan was made to avoid $100 price increase that will take place on June 19th the equipment is needed now but the money to pay for the equipment will not be available until mid middle of August use exact interest is it advisable to borrow the money to get the equipment now a no because of modest loss of blank will be gained or b yes because of modest savings of only blank will be realized

167

likes
835 views

Answer to a math question A loan for $3,000 with a simple annual interest rate of 17% was made on June 14th and was due on August 16th the loan was made to avoid $100 price increase that will take place on June 19th the equipment is needed now but the money to pay for the equipment will not be available until mid middle of August use exact interest is it advisable to borrow the money to get the equipment now a no because of modest loss of blank will be gained or b yes because of modest savings of only blank will be realized

Expert avatar
Darrell
4.5
100 Answers
To determine the wise decision, we need to calculate the interest on the loan for the specified period (from June 14 to August 16) and then compare it with the cost avoided by getting the equipment before June 19th.

Let's start by calculating the interest on the loan:

1. **Determine the Time Period in Years:**
- June 14th to August 16th is 63 days (from June 14th to July 14th is 30 days, then from July 14th to August 14th is another 30 days, and finally, from August 14th to 16th is 3 days). Converting this to years: \frac{63}{365} years.

2. **Apply the Interest Formula:**
- Principal (P): $3,000
- Rate (R): 17% or 0.17 as a decimal
- Time (T): \frac{63}{365} years

3. Using the interest formula \text{Interest} = P \times R \times T, we can calculate the interest:

\text{Interest} = 3000 \times 0.17 \times \frac{63}{365} = 88.03

The interest on the loan for the period from June 14th to August 16th would be approximately $88.03.

Now, let's compare this interest to the $100 price increase that would have been incurred if the equipment was bought after June 19th:

The difference would be 100 - 88.03 = 11.97.

**Answer:**

Therefore, it is advisable to borrow the money to get the equipment now because a modest saving of only $11.97 will be realized.

Frequently asked questions (FAQs)
- Math Question: "Graph the equation y = log(x) on a Cartesian plane. Identify its x-intercept, y-intercept, and asymptote."
+
Question: Solve the inequality -2x + 5 > 17 for x. (
+
What is the value of x when the exponential functions f(x) = 10^x and f(x) = e^x intersect?
+
New questions in Mathematics
Write 32/25 as a percent
Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)
The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality
4.2x10^_6 convert to standard notation
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
Determine the momentum of a 20 kg body traveling at 20 m/s.
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
-3(-4x+5)=-6(7x-8)+9-10x
find x in the equation 2x-4=6
A box contains 18 blue balls and 33 white balls. What is the ratio of the blue to white balls?
20% of 3500
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
Log5 625
Which of the methods below can be used to workout 95% of an amount? a. Dividing the amount 100 and multiply by 95 b. Working out 5% of the amount and taking it away from the full amount c. Dividing 95 by 100 and multiplying the answer by the amount d. Dividing the amount by 95 and then multiply by 100
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?