Step-by-step explanation:
That probability is 1/6 (one in six). Certainly this outcome could happen, but the probability that it won't happen is 1 - 1/6, or 5/6. Answer C is correct.
jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.
a. what is the down payment?
b. what is the amount of the mortgage?
c. what are the closing costs?
d. what is the total amount of the mortgage if they finance the closing costs with the mortgage
The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.
Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.
Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.
So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.
To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000
Therefore, Jason's down payment is $43,000.b)
The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.
Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000
Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.
Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000
Closing costs = $13,545
Therefore, the closing costs are $13,545.
d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545
Total amount of the mortgage = $400,545
Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.
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A teacher's grades are normally distributed with a mean of 75 and a standard deviation
of 8.6. What is the probability that a student will score between 56 and 72?
Answer:
34.9%
Step-by-step explanation:
Z1=[tex]\frac{56-75}{8.6}[/tex] = -2.21
F(Z1) = 0.9861
Z2=[tex]\frac{72-75}{8.6}[/tex] = -0.35
F(Z2) = 0.6367
P(56<X<72)= 0.9862-0.6367= 0.349 = 34.9%
Use the tabel to answer the question what rule describes the function F(x)?
A) f(x)=x+3
B) f(x)=x+4
C) f(x)=3x+2
D) f(x)=5x
write the root of x in ax^2+bx+c=0
Answer:
the root of x in ax^2+bx+c=0
is
x=[-b±√(b²-4ac)]/2a
PLEASEEEEE HELPPPPPPP!!!!!
Answer:
(-4.5, 1.5)
Step-by-step explanation:
PLEASE HELP
NO LINKS
Answer:
The first blank is $640.30
The second blank is 670
Step-by-step explanation:
Ready mathematics lesson 15 quiz
Answer:
question please I'm waiting
Find the surface area of the figure.
8 ft
19 ft
14 ft
12.1 ft
5 ft
Answer:
132.00
Step-by-step explanation:
The surface area of the composite figure is S = 706.4 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle
On simplifying , we get
2 ( area of trapezium ) = ( a + b ) x h
2 ( area of trapezium ) = ( 19 + 5 ) x 12.1
2 ( area of trapezium ) = 290.4 feet²
Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )
2 ( area of opposite rectangles ) = 224 feet²
Area of smaller rectangle = 5 x 8 = 40 feet²
Area of larger rectangle = 8 x 19 = 152 feet²
Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²
S = 706.4 feet²
Hence , the area of the figure is S = 706.4 feet²
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Alica created a portrait that is 10 inches wide and 13 inches long she wants to put a frame that is 2 1/4 wide on each side
Answer:
[tex]A_f=470ft[/tex]
[tex]P_f=88ft[/tex]
Step-by-step explanation:
From the question we are told that:
Width of Portrait [tex]w=10inches[/tex]
length of Portrait [tex]l=13inches[/tex]
Frame each [tex]l_W=21/4inch each[/tex]
Generally the equation for area of portrait A is mathematically given by
[tex]A=w*l\\A=10*13\\A=130m^2[/tex]
Generally the equation for Perimeter of portrait is mathematically given by
[tex]P=2(w+l)\\P=2(10+13)\\P=46m[/tex]
Generally the equation for area of portrait with frame is mathematically given by
[tex]A=w_f*l_f[/tex]
where
w_f=width of portrait with frame
[tex]w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft[/tex]
l_f=Length of portrait with frame
[tex]l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft[/tex]
Therefore Area of picture with frame
[tex]A_f=w_f*l_f[/tex]
[tex]A_f=20.5*23.5[/tex]
[tex]A_f=470ft[/tex]
Generally the equation for Perimeter of portrait is mathematically given by
[tex]P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft[/tex]
The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s
(
m
/
s
)
.
When
s
=
20
,
P
=
2000
.
Work out the speed (to 1 DP) when the power is
1960
watts
Answer:
30
Step-by-step explanation:
. John buys 3 balloons for $4.80 at Party Town. Karyn buys 4 balloons for $6 at Celebrate City. How much more did John pay per individual balloon? А $1.60 B $1.50 C $1.10
Answer:
John paid $1.60 per balloon while Karyn pain $1.50 per balloon.
Step-by-step explanation:
4.80 divided by 3 = 1.60
6 divided by 4 = 1.50
I need help as soon as poible
π×5×5×7=
Answer:
549.5
Step-by-step explanation:
For a estimate of pi we use 3.14. So 3.14x5x5x7=549.5
For a realistic answer its 549.778714378.....
At Food Lion, you can buy 3 bags of Takis for $4.99. What is the
price of one bag of Takis? (Round to the nearest cent)
Answer:
Step-by-step explanation:
price of one bag of Takis = $4.99/3 = $1.66333, which is approximately $1.66
What is the formula for the volume of a cylinder? (Use the word Pi instead of the symbol)
Answer:
pi x radius x 2 x height of the cylinder.
Item 3 RectangleABCD has vertices A(1, 2), B(4, 2), C(1, −2), and D(4, −2). A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (24, 12)? A′ B′ C′ D′
Answer:
B
Step-by-step explanation:
I'm pretty sure its b because its ratio matches the (4,2)
Answer:
B'
Step-by-step explanation:
3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.
A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet
Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
Find the area of the figure. (Sides meet at right angles.)
Answer:
The answer would be 50m units squared.
Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?
Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.
subtract (5x + 3) - (x + 2)
so lets say you randomly draw twice from the deck of cards D F H G H
What is the probability of drawing an F, then drawing an H Without replacing the first card?
Answer:
hshysywyyw6w6wywhwhwqhhwhwhh
Step-by-step explanation:
vejejjeejjejejejfjj237 68672_773837 8282×786766
bbdjdjejjefu8du uwj udej hbvv jjj un jududjdj8
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust Thick crust Stuffed crust Pan style Based on this information, of the next pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
The complete exercise with the answer options is as follows:
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 364
Thick crust 240
Stuffed crust 176
Pan style 260
Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer:
692 thick crust pizzas
Step-by-step explanation:
With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.
Type of Crust Number Sold
Thin crust 364
Thick crust 240
Stuffed crust 176
Pan style 260
total pizzas : 1040
Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas
1040→240
3000→x
x= [tex]\frac{3000x240}{1040}[/tex] = 692
Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?
A. $5.00
B. –$1.33
C. $3.00
D. –$3.00
Answer:
I would say D
Step-by-step explanation:
I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks
f(x) =5+ 1 , find f(-4)
Answer:
Step-by-step explanation:
F(x) =5x + 1 , find f(-4)
Putting value of x = 4
F(4) = 5(4) + 1
= 20 + 1 = 21
pls help thank you so much !!
Answer:
a) (0,5)
Step-by-step explanation:
What is 165 rounded to the nearest ten?
Answer:
170
Step-by-step explanation:
5 and up you round up and 4 and below round down.
Look at the six then look at the number to the right, 5.
So, you round up to 170 instead of 160.
Which expression shows the quotient of a number of n and four.
Answer: n divided by 4!
Step-by-step explanation: If its a quotient, it means division!
Find the distance between the two points in simplest radical form . (4, 6) and (- 2, 9) pls the answer no links!!
Answer:
2,4
Step-by-step explanation:
Girrls and boys plsss i need help like frl:)
D- Most babysit because it pays more per-hour.
The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.
Hope this helps!
Have a great day!
- Hailey
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↓
Answer:
dsefggrgrgrgersd
330 six graders were asked what their favorite sport is. 20% said baseball, how many students said baseball
Answer:
66
Step-by-step explanation:
10% of 330 = 33
another 10% of 330 = 33
therefore, 20% of 330 = 66