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)
Question: What is the limit as x approaches 2 of (x^2 + 3x - 2)?
+
What is the maximum or minimum value of the function f(x) = x^2 - 4x + 5 over the interval [0, 10]?
+
Question: What is the maximum value of the function f(x) = x^3 - 5x^2 + 4x + 2 on the interval [-2, 3]?
+
New questions in Mathematics
2x-y=5 x-y=4
3(4×-1)-2(×+3)=7(×-1)+2
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
9b^2-6b-5
2.3/-71.32
A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.
According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card
solve for x 50x+ 120 (176-x)= 17340
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)
0.1x8.2
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
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
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
5a-3.(a-7)=-3
2p-6=8+5(p+9)
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?
x(squared) -8x=0