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Mathematics

1 answer:

ikadub [295]3 years ago

4 0

Scale - Convert to meters and reduced it to 1 cm:

3 cm : 1000 cm | GIven

3 cm : 10m | Convert 1000cm to 10m

1 cm: 10/3 m | Find 1 cm

Convert the dimensions to the actual:

7.5 cm = 7.5 x 10/3 = 25m | Convert 7.5cm on map to actual distance

15 cm = 15 x 10/3 = 50m | Convert 15m on map to actual distance²

Find area of the actual pool:

Area = 25 x 50 = 1250 m² | Use the formula Area = Length x Width

Answer: 1250 m²

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Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

The formula for the monthly payment.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$