Can someone help me with these questions please

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

Answer:

Please see the attached pictures for full solution.

For the first question, the inequality sign is $\geqslant$

because of the word "at least". This means that the profit can be greater or equal to $980.

2nd question part b: I saw your working on another post... you're almost there! After finding the circumference of the semi circle, add the diameter of the semicircle (2 radius) since it's part of the garden too.

For the 3rd question part b, I multiply 12.8 by 15 because we know that from part a that 1cm of the scale drawing represents 15 feet of the actual parking lot. Since the length of the parking lot on the scale drawing is given to be 12.8cm, the actual length is 12.8×15= 192 feet. (I answered this question on another post of yours but I decided to explain it again here)

If you have any questions, feel free to ask! :)

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janelle wishes to finance a car for $33,000. the bank's annual interest rate is 3.5%, and she can choose between durations of fi

Harman [31]

Answer:

For a duration of 5 years, Monthly Payment =$600.42

For a duration of 6 years, Monthly Payment =$508.83

Step-by-step explanation:

$P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\$

where a= Amount to Finance=$33,000

Annual interest rate = 3.5%=0.035

r=Monthly Interest Rate= 0.035 ÷ 12 = $\frac{7}{2400}$

n=number of months to pay

For a duration of 5 years

n=5X12=60 months

$P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{60}}{(1+\frac{7}{2400})^{60}-1} \\=\dfrac{96.25 (1.1909)}{1.1909-1}\\=\dfrac{96.25 (1.1909)}{0.1909}\\=\dfrac{114.62}{0.1909}=\$600.42$

For a duration of 6 years

n=6X12=72 months

$P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{72}}{(1+\frac{7}{2400})^{72}-1} \\=\dfrac{96.25 (1.2333)}{1.2333-1}\\=\dfrac{96.25 (1.2333)}{0.2333}\\=\dfrac{118.71}{0.2333}=\$508.83$