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Norma-Jean [14]
3 years ago
12

Lucy is financing $370,000 to purchase a house. How much money will she save over the life of a 30-year, fixed-rate loan by buyi

ng 3 points with a rate of 6.175% instead of not buying points with a rate of 6.55%?
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0
Lucy would save $114.
Step 1: Multiply 6.175 x 30 = 185.25
Step 2: Divide 370,000/185.25 = 1,997
Step 3: Repeat Steps 1&2 but with (6.55 x 30) and divide 370,000/196.5 = 1,883.
Step 4: Subtract 1,997 - 1,883 = 114
Step 5: She will save $114 with points versus without.
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A researcher took a poll of people in his state. He asked each person if he or she had any pets (Yes or No) and to state his or
Arlecino [84]

Answer:

DF = 2

Step-by-step explanation:

Formula for degree of freedom is;

DF = n - 1

Where n is sample size

In this question, political party affiliation could be Republican, Democrat, or Other. Thus, sample size is 3.

DF = 3 - 1

DF = 2

Thus, degree of freedom value would be 2

8 0
3 years ago
Determine the solution to 11y = 37.4.
Annette [7]
Y= 3.4. If you divide 37.4 by 11 then y would equal 3.4. Check by multiplying 3.4 by 11
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Bella is buying balloons for a back to school celebration. She sees there are 4
loris [4]

Answer:

The first deal is better because it has more balloons for not too much of a price (individually)

Step-by-step explanation:

15*4= 60

60/18= 3.33

Deal 1= 3.33 for each balloon

10*5= 50

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3 0
3 years ago
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Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S10. Round to the nearest hundredth.
aleksklad [387]
The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}\\\\S_{10}=4\cdot \dfrac{(-\frac{1}{2})^{10}-1}{-\frac{1}{2}-1}=4\cdot \dfrac{(\frac{1}{1024}-1)}{(-\frac{3}{2})}\\\\=\dfrac{8}{3}\cdot \dfrac{1023}{1024}=\dfrac{341}{128}

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4 0
3 years ago
Find the Area of the figure below, composed of an isoceles trapezoid and one
MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can  find the total area  dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then          

step one

find the area of the isosceles trapezoid using

A=\frac{a+b}{2}*h

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14

Step two

find the area of the semicircle

the area of a circle is given by

A_{c}=\pi  \frac{d^{2}}{4}\\

but, we need the area of  half circle, we need divide this by 2

A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}

now the diameter of the semicircle is 2, put this value into the equation

A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\

find the total area

total area= area of the trapezoid +area of the semicircle

total\ area= 14+\frac{\pi }{2} \\total\ area=15.6

so, the total area is 15.6 square units

Have a good day.

5 0
3 years ago
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