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: In triangle ABC, the angle bisector of angle A intersects BC at point D. If AC = 10 cm, AB = 8 cm, and BD = 6 cm, find the length of DC.
+
What is the area of a right triangle with legs measuring 8 cm and 12 cm?
+
Question: What is the maximum number of stationary points that a cubic function of the form f(x) = x^3 can have?
+
New questions in Mathematics
A=m/2-t isolate t
-442/c+5=26 what is c?
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
132133333-33
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .
Director of reservations believes that 9% of the ticketed passengers are no-shows. If the directors right what is the probability that the proportion of no-shows in a sample of 789 ticketed passengers with differ from the population proportion buy more than 3% round your answer to four decimal places.
Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places
2x-4y=-6; -4y+4y=-8
Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.
7=-4/3y -1
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A drug is used to help prevent blood clots in certain patients. In clinical​ trials, among 4336 patients treated with the​ drug, 194 developed the adverse reaction of nausea. Construct a ​99% confidence interval for the proportion of adverse reactions.
TEST 123123+1236ttttt
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
Solve equations by equalization method X-8=-2y 2x+y=7
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?
Solve the following 9x - 9 - 6x = 5 + 8x - 9