Answer:
WEll the answer is d
Step-by-step explanation:
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%) mortgage has an interest rate of 7.525%. Both are 30-year fixed-rate mortgages.
======================================================
Explanation:
The formula we'll be using is
P = (L*i)/( 1-(1+i)^(-n) )
where,
P = monthly paymentL = loan amounti = interest rate per month in decimal formn = number of months---------------------
For the first mortgage (80%), we need to find out the L value
L = 80% of 175,000 = 0.80*175,000 = 140,000
The monthly interest rate is the annual rate over 12
i = r/12 = 0.0475/12 which I'll keep as a fraction
Lastly, this mortgage goes for 30 years aka 30*12 = 360 months. So n = 360.
To summarize the input values we'll use, we have,
L = 140,000i = 0.0475/12n = 360Let's compute the monthly payment
P = (L*i)/( 1-(1+i)^(-n) )
P = (140,000*0.0475/12)/( 1-(1+0.0475/12)^(-360) )
P = 730.30627110436 approximately
P = 730.31
The first mortgage has a monthly payment of $730.31
We'll use this later.
---------------------
Now onto the second mortgage (20%)
L = 20% of 175,000 = 0.20*175,000 = 35,000
i = r/12 = 0.07525/12 which I'll keep in fraction form
n = 360 months (same as before)
In short,
L = 35,000i = 0.07525/12n = 360So,
P = (L*i)/( 1-(1+i)^(-n) )
P = (35,000*0.07525/12)/( 1-(1+0.07525/12)^(-360) )
P = 245.32451498724 approximately
P = 245.32
The second mortgage has a monthly payment of $245.32
---------------------
The last step is to add the two monthly payments (found at the conclusion of each previous section)
730.31 + 245.32 = 975.63
which of the following is a rational number but not an integer
-9
0
-4.3
3
Leonard has $87.00 in his checking account. He writes a check to his credit card company for $95.00.
Which statement describes Leonard’s new checking account balance?
Leonard’s balance is −$182.00.
Leonard’s balance is −$8.00.
Leonard’s balance is $8.00.
Leonard’s balance is $182.00.
Answer:
Leonard’s balance is −$8.00.
Step-by-step explanation:
Please help Mandy took out a $35,000 loan to buy a car. What is the principal?
The principal of a loan is the amount of money they took out as a loan.
Principal = $35,000
what were the most important people for mary eliza mahoney
Answer:
African American and women
Step-by-step explanation:
Mary Eliza Mahoney was eager to encourage greater equality for African Americans and women
hope this helps!
A rectangle is 10 feet long by 2 feet wide.
If 3 feet are removed from the length of t
would be the area, in square feet, of the
You can earn 1 coin
Answer:
14 ft²
Step-by-step explanation:
To find the area of a rectangle you multiply the length and width. Sense the length is 10 feet but 3 feet was removed it is now 7 feet. Now you multiply that 7 feet by the width of 2 feet to get
7×2=
Area= 14 ft²
Represent the area of the region determined by the intersection of the circles x
2 + y
2 = 4
and (x − 2)2 + (y − 2)2 = 4 by an integral. Do not evaluate the integral.
I think you mean the circles
x² + y² = 4
(x - 2)² + (y - 2)² = 4
Notice that both have radius 2, but the first one is centered at the origin (0, 0) while the second one is centered at (2, 2). The two circles intersect at the points (2, 0) and (0, 2), which means the bounded region between them is contained entirely in the first quadrant.
If we solve both equations above for y, we would find two solutions in each case:
x² + y² = 4 ⇒ y = ± √(4 - x²)
(x - 2)² + (y - 2)² = 4 ⇒ y = 2 ± √(4 - (x - 2)²)
The positive/negative root corresponds to the upper/lower semicircle the make up the full circle. The semicircles we're interested in are
y = + √(4 - x²)
y = 2 - √(4 - (x - 2)²)
that is, the upper half of the circle centered at the origin, and the lower half of the circle centered at (2, 2).
So, in standard Cartesian coordinates, the bounded region (call it R) is the set
[tex]R = \left\{(x, y) : 0 \le x \le 2 \text{ and } 2-\sqrt{4-(x-2)^2} \le y \le \sqrt{4-x^2} \right\}[/tex]
and the area is given by the double integral
[tex]\displaystyle \iint_R dA = \boxed{\int_0^2 \int_{2-\sqrt{4-(x-2)^2}}^{\sqrt{4-x^2}} dy \, dx}[/tex]
Use the fact that sin 38 ≈ 0.6157 to solve m.
cos m ≈ 0.6157
what is the value of m?
Answer:
52°Step-by-step explanation:
We know that sine and cosine are equal when angles are complementary.
sin 38° = cos msin 38° = cos (90° - 38°) = cos 52°cos m = cos 52°m = 52°sin and cos are equal when their sum is 90°
So
cosm=0.6125=sin38cos(90-38)=sin38cos52=sin38m=52°Please help, I’ll mark your answer as brainliest.
The tables show the height in
centimeters each plant grew during
a week. Assume the patterns continue.
Compare the growth in height of
each plant.
Answer:
Plant B grows 3 times as fast as Plant A
Step-by-step explanation:
Both plants start at 0 height on Day 1 and grow the same amount each day. Plant A grows 2 cm each day; Plant B grows 6 cm each day. The growth rate of Plant B is 3 times the growth rate of Plant A.
the length of a quarter is .955. Round .955 to the nearest tenth of an inch
Answer:
1.0 inch
Step-by-step explanation:
Round the 9 in 0.955, this turns it into 1.0, Since you said an inch, the value will be in inches.
Answer:
1.0in is your answer!
Step-by-step explanation:
the person above me explained it good enough
determine the y-intercept
Answer:
-21
Step-by-step explanation:
the y intercept is when x=0.
you can see that this is a linear equation where each increase in x results in an increase of 4 onto the y value.
so if when x=1, y=-17, subtract 4 to find what y equals when x is 0.
-17 -4=-21
good luck :)
help with part b pls thank u
Answer:
See belowStep-by-step explanation:
speed = distance / timetime = distance / speeda)
i)
Time taken at the first part:
105 / xii)
Time taken at the second part:
(190 - 105) / (x + 12) = 85/(x + 12)b)
If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:
105/x + 85/(x + 12) = 13/44(x + 12)*105 + 4(85x) = 13x(x + 12)13x² - 604x - 5040 = 0c)
Solve the equation:
13x² - 604x - 5040 = 0x = [604 ± √((-604)² + 4*13*5040) ]/26 = [604 ± √626896]/26 = [604 ± 791.77]/26x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)d)
105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)Answer:
see below
Step-by-step explanation:
Let t = time (in hours)
a) i) First 105 km of journey
[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]
[tex]\implies x=\dfrac{105}{t_1}[/tex]
[tex]\implies t_1=\dfrac{105}{x}[/tex]
ii) Rest of journey
distance = 190 - 105 = 85 km
speed = [tex]x+12[/tex] km/h
[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]
[tex]\implies x+12=\dfrac{85}{t_2}[/tex]
[tex]\implies t_2=\dfrac{85}{x+12}[/tex]
b) 3 hours 15 minutes = 3.25 hours
[tex]\implies[/tex] total time = [tex]t_1+t_2=3.25[/tex]
[tex]\implies \dfrac{105}{x}+\dfrac{85}{x+12} =3.25[/tex]
[tex]\implies \dfrac{105(x+12)+85x}{x(x+12)} =3.25[/tex]
[tex]\implies 105(x+12)+85x =3.25x(x+12)[/tex]
[tex]\implies 105x+1260+85x =3.25x^2 +39x[/tex]
[tex]\implies 3.25x^2-151x-1260=0[/tex]
multiply by 4:
[tex]\implies 13x^2-604x-5040=0[/tex]
c)
[tex]\textsf{quadratic formula} \ x=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a}}[/tex]
[tex]\implies x=\dfrac{604 \pm\sqrt{(-604)^2-4(13)(-5040)} }{2(13)}}[/tex]
[tex]\implies x=\dfrac{604 \pm\sqrt{626896} }{26}}[/tex]
[tex]\implies x = 53.68, x=-7.22[/tex]
(to 2 decimal places)
d) time ≥ 0, therefore, x = 53.68 only
Substitute x = 53.68 into the expression for [tex]t_1[/tex] and solve for [tex]x[/tex]:
[tex]\implies t_1=\dfrac{105}{53.68}=1.955912... \textsf{hours}=\textsf{1 hr 57 min}[/tex]
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
You ask 40 students which of three items from the cafeteria they like the best. You record the results on the piece of paper shown.
Result of a survey on a paper. First line. What is your favorite cafeteria food? Second line. Pizza: 30 percent. Third line. Pasta: 18 students. Fourth line. Salad: 10 students.
How many students answered pizza?
students answered pizza.
Skip to navigation
Answer:
12
Step-by-step explanation:
30% of 40=12
A 48°
B (6x−28)°
C (2x)°
Find the value of x. Then find the measures of angles B and C.
Enter your answers in the boxes.
x =
m∠B=
º
m∠C=
º
Answer:
x = 20, angle B = 92 and angle c = 40
Step-by-step explanation:
3 angles in a triangle adds up to 180, and since A is 48, we have B + C = 132
6x - 28 + 2x = 132
=> 8x - 28 = 132
=> 8x = 160 and x = 20
B = 6 x 20 - 28 = 92
C = 2 x 20 = 40
Explain Direct Variation. What does “k” equal?
Answer:
In y = kx, where k is the constant of proportionality.
Answer:
k is the constant
Step-by-step explanation:
Direct variation is simply explained as when a number is directly proportional to another number. For example, when 8 is directly proportional to 4 then it will result to
=> 8= k4, where k is the constant
=> divide both sides by 4 to get k
=> k= 2
Explain how to find a probability of an event
Answer:
what event there is no picture or words to tell me please explain
Step-by-step explanation:
Which expressions are equivalent? chose all that apply.
Answer:
7.7.7.7 and 7^4 and seven to the fourth power
Step-by-step explanation:
They all equal 2401.
They are all the same but in different forms:
(7.7.7.7- expression)
(7^4 - exponential form)
(seven to the fourth power-word form of exponent)
Does the expression
(41+6)
also represent the
2
number of females on the team this year? Explain.
Answer:
Yes
Step-by-step explanation:
Yes; Dividing by 2 is the same as multiplying by [tex]\frac{1}{2}[/tex].
(4 times 2 to the third power) - (64 divided by 8)
Answer:
24
Step-by-step explanation:
(4 times 2 to the third power) - (64 divided by 8) = 4*(2^3) - 64/8
= 4*8 - 8 = 32 - 8 = 24
The answer is 24
Hope this helps :)
Have a great day!
PLEASE HELP!
Question:
Solve for x
(x+3)^2
Answers:
2x^2 + 3x + 2
x^2 + 6x + 9
Answer:
x² + 6x + 9
Step-by-step explanation:
(x + 3)² = (x + 3)(x + 3)
Each term in the second factor is multiplied by each term in the first factor , that is
x(x + 3) + 3(x + 3) ← distribute parenthesis
= x² + 3x + 3x + 9 ← collect like terms
= x² + 6x + 9
DIG DEEPER A vehicle travels 250 feet every 3 seconds. Find the value of the ratio the unit rate, and the constant of
proportionality.
The value of the ratio is ( )
The unit rate is ( )
feet per ( )
second
The constant of proportionality is ( )
Answer:
83.33 or 83.3 feet per second
Step-by-step explanation:
250 feet/3 seconds = 83.33 ft per second
please help mee out hereeee
Answer:x=125
Step-by-step explanation:
180-55=125
Answer:
Step-by-step explanation:
x+55=180[Sum of linear pair]
x=180-55
x=125
Find the length of the bolded arc if the radius is 4cm and the angle is 118 degrees.
Answer:
8.23 cm
Step-by-step explanation:
A circle is given to us and we need to find out the length of the bolded arc . The arc subtends an angle of 118° at the centre . And the radius of the circle is 4cm .As we know that , length of the arc is given by ,
[tex]\longrightarrow Length_{arc}= \dfrac{\theta}{360}\times 2\pi r [/tex]
Here ,
Angle is 118° . Radius is 4cm .On substituting the respective values,
[tex]\longrightarrow Length_{arc}=\dfrac{118^o}{360^o}\times 2(3.14)(4cm) [/tex]
Simplify ,
[tex]\longrightarrow Length_{arc}= 0.3277 \times 25.18 \ cm [/tex]
Multiply ,
[tex]\longrightarrow \underline{\underline{Length _{arc}= 8.23 \ cm}} [/tex]
This is the required answer!
$13.56 is what percent of $16.95?
Answer:
$13.56 is 80% of $16.95.
Lesson 8-2
In Items 15-18, identify the transformation from the
graph of f(x) = 2* to the graph of g(x).
15. g(x) = 2* – 3
16. g(x) = 2(x – 3)
17. g(x) = 2* + 4
18. g(x) = 2(x+4)
Lily eats half a pound of cherries in 3/4 of a minute how many minutes will it take her to eat a full pound of cherries
Answer: a minute and a half
Step-by-step explanation:
3/4 +3/4 is 6/4 which is 1 1/2 or 1 2/4
Total pounds=1lbs
Total mins:-
2×3/43/2min1.5minWork out the value of angle marked b
Answer:
22
Step-by-step explanation:
180-90-68=22
Answer:
180 - (90+68) = 22
B =22
Hope this helps!
Find the area of the rectangle below
length = 11 in
width = 17 in
Answer:187
Step-by-explanation: width multiply by height
=11 times 17
=187
Admission to the school dance is $4.00. There is a picture booth at the dance, and each picture costs $1.50. Maria has $10.00. Which inequality represents the number of pictures, p, that Maria can purchase at the dance with admission?
A. 4.00p + 1.50 ≥ 10.00
B. 4.00 + 1.50p ≤ 10.00
C. 4.00p + 1.50 ≤ 10.00
D. 4.00 + 1.50p ≥ 10.00
no links or files please, i just need the answers.. (Worth 25 points)
Answer:
A ,D , F
Step-by-step explanation:
A) x-3=0 , x=3
B 1+x=2 , x=2-1=1 , x=1
C 9-x=3 , x=9-3=6 , x=6
D) 6=2x , x=6/2=3 , x=3
E (1/5)x=3 , x=3*5=15 , x=15
F) x^2=9 x=√9 , x=3