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Mathematics

1 answer:

Maurinko [17]3 years ago

4 0

Answer:

Step-by-step explanation:

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Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h

kozerog [31]

The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

$PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)$

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

$50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\ \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\ \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\ \\ \therefore P= \frac{50,000}{81.770994} =\$611.46$

Therefore, her monthly payment is about $611.50
</span>

3 0

3 years ago

A scale drawing of a building has the scale 0.5in : 6ft. A wall is 30 ft long. How long will the wall be on the drawing?

g100num [7]

The scale 0.5 in : 6 ft, means that

any distance of 0.5 in on paper, represents 6 ft in reality

for example:

0.5*2= 1(in) represents 6*2=12 (ft)

0.5*4= 2(in) represents 6*4=24 (ft)

0.5*10=5(in) represents 6*10=60 (ft) and so on...

Let the wall be x (in) in the drawing:

0.5 (in) represents 6 (ft),
x (in) represents 30 (ft)
----------------------------------------

thus x = (0.5*30)/6 = 15/6= 2.5 (in)

Answer: 2.5 in

8 0

3 years ago

Convert 5.00 inches to centimeters

tensa zangetsu [6.8K]

Answer:

5 inches x 2.54 = 12.7 cm

Step-by-step explanation:

1 inche = 2.54cm

therefore, 5 inches x 2.54cm = 12.7cm

6 0

3 years ago

How many ounces are in a 10 1/2 pound

Yuki888 [10]

1 pound equals 16 ounces
10 times 16 equals 160 ounces plus 1/2 a pound which is 8
168 ounces

7 0

3 years ago

Use the Pythagorean identity to do the following:

nlexa [21]

Answer: 2 - 2*sin³(θ) - √1 -sin²(θ)

Step-by-step explanation: In the expression

cos(theta)*sin2(theta) − cos(theta)

sin (2θ) = 2 sin(θ)*cos(θ) ⇒ cos(θ)*2sin(θ)cos(θ) - cos(θ)

2cos²(θ)sin(θ) - cos(θ) if we use cos²(θ) = 1-sin²(θ)

2 [ (1 - sin²(θ))*sin(θ)] - cos(θ)

2 - 2sin²(θ)sin(θ) - cos(θ) ⇒ 2-2sin³(θ)-cos(θ) ; cos(θ) = √1 -sin²(θ)

2 - 2*sin³(θ) - √1 -sin²(θ)

7 0

3 years ago