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erica
1 month ago
15

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco

mmendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide.
Mathematics
1 answer:
babunello [11.8K]1 month ago
6 0

Answer:

The best mortgage option for them is (3).

Step-by-step explanation:

Mortgage offers (1) and (2) are similar since Damarco and Tanya's down payment of $34,000 (20% of the purchase price) requires them to pay interest over 30 years for both scenarios. Although option (1) entails approximately $750 monthly payments and option (2) requires about $9,000 annually, the total payments are quite comparable as option (2)'s interest rate, starting at 3.5%, could potentially rise but is unlikely to exceed 5%, while option (1) maintains a fixed annual interest rate of 4.25%.

Option (3), however, demands interest payments for only 8 years at a relatively lower annual rate of 4%. If they commit to $18,000 annually with a $34,000 down payment and repay the remaining balance (under $35,000) at the end of 8 years, it leads to the lowest total payment and quickest mortgage clearance among the three options. Therefore, this choice aligns best with their financial objectives.

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Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
tester [12383]
Marco requires $420 to purchase a new smartphone along with accessories. The equation 75-495=420 demonstrates this while adding $75 to $420 yields a total of $495.
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23 days ago
Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to
Leona [12618]

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = time = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Thus, the geometric growth rate is 3.5486725664.

The area they will occupy in hectares after one more year = Current area × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

Approximately equal to 14.2

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16 days ago
The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression
Zina [12379]

Response: 8n

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Clarification:

The two sides, 4n+5 and 5n+6, comprise terms 4n and 5n which total to 9n. We require 8n to add to this to achieve 17n. In simpler terms, 4n + 5n + 8n = 9n + 8n = 17n

That is the reason why the outcome is 8n. There are no additional terms because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) sum to 5+6 = 11, matching what we aim for in the perimeter expression 17n + 11

Side 1 = 4n + 5

Side 2 = 5n + 6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n + 5) + (5n + 6) + (8n)

Perimeter = 4n + 5 + 5n + 6 + 8n

Perimeter = (4n + 5n + 8n) + (5 + 6)

Perimeter = 17n + 11

So this confirms we possess the correct expression for the third side that is missing.

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13 days ago
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Martin is cleaning all the rooms in his house. There are 4 rooms left to clean, and he takes 7 hours to clean them. Write the eq
Inessa [12570]
Consequently, the equation determining the remaining number of rooms Martin has to clean after hours can be represented as:

y=-\frac{4}{7}x+b

, in which b indicates the overall number of rooms. Step-by-step explanation: It is given that Martin has 4 rooms left to clean and takes 7 hours for the task. The equation in standard form for the number of rooms remaining after x hours, y, is set up as follows: The remaining rooms y, indicates the quantity after x hours. The cleaning rate is established as follows: Considering Martin cleans 4 rooms in 7 hours, the rate at which he cleans is given by: Hence, the equation can be expressed as

y=-\frac{4}{7}x+b (Answer)

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17 days ago
The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation rep
babunello [11817]

Answer:

\frac{1}{12}x = \frac{5}{6}\\ \\

Step-by-step explanation:

Given:

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Since 1/12 of the tank is used for each trip and the starting volume is 5/6, the equation can be represented as:

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By solving the equation, we find:

  • x = \frac{5}{6}÷\frac{1}{12}
  • x = \frac{5}{6} × 12
  • x = 10

This means Felitz can make 10 trips to/from work with a tank filled to 5/6.

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