11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the life of the loan? (3 points)
O $81,373.41
$92,263.82
O $107,536.50
O $121,390.73
Answer:
Explanation:
Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.
Given mortgage loan value of $389900
Interest rate of 4.85%
We are asked to calculate the interest over the life of the loan.
We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900
Formula for constant payments :
A= P×r×r(1+r)^n/(1+r)^n-1
Where A= constant/monthly payments
r= interest rate on the mortgage loan
n= number of payments = 30×12= 360
P= mortgage loan given
A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1
=$389900×0.0485×1231340.79/25388468.94
=$389900×0.0485×0.04850
A= $917.142
Payment for five years(with interest)= $917.142×60= $55028.52
Calculate balloon payment:
FV= PV(1+r)^n - P((1+r)^n-1/r)
Where FV= future value of balloon payment
PV= initial loan given
r= interest rate on loan
n= number of payments
P= monthly payments
Substitute:
FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)
=$389900×1.2738-917.142(0.2738/0.004041)
=$389900×1.2738-917.142×67.756
= 496654.62-62141.87
FV = $434512.75
Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52
=
help please please please please
Answer:
sorry it's blurry I can't fix it
What’s the surface area (Blank) square units
Answer:
570
Step-by-step explanation:
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Similarity - Item 33751 Select the two figures that are similar to each other. help pls
Answer:
Similar: First two shapes only
Step-by-step explanation:
Triangle Similarity Theorems
There are three triangle similarity theorems that specify under which conditions triangles are similar:
If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).
If the three sides are in the same proportion, the triangles are similar (SSS theorem).
If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).
The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.
The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.
The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Use this table to answer questions below. Choose the correct answer.
According to the line graph, between 1950 and 1970 approximately which year had the lowest percentage of business failures?
Answer:
The answer is 1954
Step-by-step explanation:
Answer:
1954
Step-by-step explanation:
It is the lowest percentage of business failures. Refer to the scale on the left.
what are Latitude lines
Answer:
The latitude of a place is its distance north or south of the equator.
Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States
Answer:
Step-by-step explanation:
The null and the alternative hypothesis can be computed as:
[tex]H_o: \mu_{c} \ge \mu_{us}[/tex]
[tex]H_a: \mu_{c} < \mu_{us}[/tex]
The t- student test statistics can be computed as:
[tex]t = \dfrac{ x_c - x_{us} }{\sqrt { \dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us} ^2}{n_{us}} } }[/tex]
[tex]t = \dfrac{ 19 - 21 }{\sqrt { \dfrac{7^2}{100} + \dfrac{8^2}{130} } }[/tex]
t = -2.017
degree of freedom = (n₁-1)+(n₂-1)
= (100-1) + (130-1)
= 228
At t = -2.017 and 228 df
P-value = -0.224
Decision rule: Not to reject the null hypothesis if the p-value is greater than ∝(0.01)
Conclusion: We reject the null hypothesis since the p-value is less than ∝.
Thus, there is sufficient evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United states.
There were 26 people at Charlotte and Oliver's birthday party. The total cost of the party was $1,429.74. How much did each person who attended the party cost?
Answer:
$54.99/person
Step-by-step explanation:
Divide '26 persons' into the total cost $1,429.74: we get $54.99/person.
over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.
the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
Answer:
D
Step-by-step explanation:
-2.25 x 3 = 6.75
the temperature decreased by 6.75 after 3 hours
Answer:
The temperature decreased by 6.75 degrees Fahrenheit.
Step-by-step explanation:
This is answer choice D because the Start of Temperature is:
70F
Start Time: 9AM
(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)
If gas costs $5.09 per gallon, how many whole gallons of gas could you buy with $54.00?
(Make sure to answer with a whole number.)
Answer:
10 gallons!
Step-by-step explanation:
Please mark me brainliest!!
Answer:
10 gallons
Step-by-step explanation:
A bag contains 10 red marbles .15 yellow marbles, 5 Green marbles and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly 2 of the five are blue?
Answer:
c
Step-by-step explanation:
YOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO PLEASE HELP
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2-6x-7. If there is more than one x-intercept, separate them with commas.
Answer:
x = -1, 7
( x + 1 ) , ( x - 7 )
plz follow me
Aisha harvests 27.5 pounds of tomatoes. She sells 16.92 pounds of the tomatoes at the farmers market. How many pounds of tomatoes does Aisha have left?
Answer:
10.58
Step-by-step explanation:
27.5 - 16.92= 10.58
Select all the equations that represent this situation. Diego has run 2/3 of a race's
distance. He has run 8 & 1/2 kilometers. How long is the whole race?
8 & 1/2 divided by 2/3 = ?
2/3 divided by 8 & 1/2 = ?
2/3 x ? = 8 & 1/2
8 & 1/2 x ? = 2/3
8 & 1/2 times 3/2 = ?
8 & 1/2 x 2/3 = ?
Step-by-step explanation:
Diego has run 2/3 of a race's
Let total distance of the race = y
He has run 8 & 1/2 kilometers.
This means 2/3 of y = 8 & 1/2 km
How long is the whole race?
2 / 3 x y = 8 & 1/2
The following equations can be used to calculate the distance of the whole race;
8 & 1/2 divided by 2/3 = ?
2/3 x ? = 8 & 1/2
8 & 1/2 times 3/2 = ?
Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=
Answer:
Step-by-step explanation:
SOLUTION:
The opposite sides of a rectangle are parallel and congruent. So, ZY = WX.
2x + 3 = x + 4
x=1
Use the value of x to find WX. WX = 1 + 4 = 5.
4x+32=24
show your work
Answer:
x = -2
Step-by-step explanation:
Original equation:
4x + 32 = 24
Subtract 32 from 24
-8
The equation should look like this now:
4x = -8
Divide both sides by 4
x = -2
Hope this helps :)
You bought a two liter container of cooking oil for $2.50. What is the cost per liter?
Answer:
$1.25
Step-by-step explanation:
$2.50 / 2 = $1.25 per liter
Answer:
$1.25
Step-by-step explanation:
.25 + .25= .50
$1.00 + $1.00 = $2.00
$2.00 + .50 = $2.50
The graph shows a linear relationship. Find the slope.
The slope is ?
Answer:
-2/5
Step-by-step explanation:
(0,1)
(5,-1)
(-1 - 1)/(5 - 0)
-2/5
please answer this correctly without making mistakes
Multiply. Write your answer using the smallest numbers possible.
6 pints 1 cup times 1,156
= pints cups
Answer:
7514 pints
Step-by-step explanation:
If it is american pints/cups(one pint is two cups)
1. Multiply
6 x 2 = 12
2. Add
12 + 1 = 13
3. Multiply
13 x 1156 = 15028
4. Divide.
15028 divided by 2 = 7514
Solve this simultaneous equations: picture below
Answer:
x = p/11, y = 13p/11
Step-by-step explanation:
The value of x is p/11
The value of y is 13p/11
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
5x + 3y = 4p _____(1)
y = 2x + p ____(2)
Substituting (2) in (1) we get,
5x + 3(2x + p) = 4p
5x + 6x + 3p = 4p
11x = p
x = p/11
Now,
y = 2x + p
y = 2(p/11) + p
y = 2p/11 + p
y = 13p/11
Thus,
x is p/11
y is 13p/11
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Graph the inequality x < -1
Answer and Step-by-step explanation:
It is in the picture.
Since x is less than -1, everything will be shaded to the left of the line that is made. The line would also be dotted since x is only less than and NOT less than or equal to.
#teamtrees #WAP (Water And Plant)
(2+2+2):2•6•2. What is (2+2+2)divided by2•6•2. I no you do the parentheses first them multiple then add I think I still get wrong answer can you help
Answer: 144
Step-by-step explanation: (2+2+2)(2)(6)(2)
A baseball diamond is a square with a side length of 90 ft. What is the distance from first base to third base in simplest radical form?
Answer:
90[tex]\sqrt{2}[/tex] ft.
Step-by-step explanation:
Using the Pythagorean theorem we get 90^2 + 90^2 = d^2 where d is the distance from 1st base to third base. So, d^2 = 8100 + 8100 = 16200
d = [tex]\sqrt{16200}[/tex] = 90[tex]\sqrt{2}[/tex]. An easier way to do this is to recognize that the triangle formed by the diagonal of the baseball diamond and the two base paths from home to first and third is a 45-45-90 triangle. Therefore, the hypontenuse (diagonal) equals [tex]\sqrt{2}[/tex] times a leg (90 ft.)
The car vacuum cleaner at a gas station near Gina’s house costs $0.25 a minute to operate. Gina has $3.25 to spend on vacuuming her car. What is the maximum number of minutes Gina can use the vacuum cleaner?
Answer:
13 min
Step-by-step explanation:
3.25/0.25=13
Answer:
Gina has 13 minutes to use the vacuum cleaner.
Step-by-step explanation:
3.25/.25= 13 minutes
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
A. x= 3, y= -2
Step-by-step explanation:
[2] 2x= 4y+14
[1] 3y+5x=9
Solve equation [2] for the variable x
[2] 2x = 4y + 14
[2] x = 2y + 7
// Plug this in for variable x in equation [1]
[1] 5•(2y+7) + 3y = 9
[1] 13y = -26
// Solve equation [1] for the variable y
[1] 13y = - 26
[1] y = - 2
// By now we know this much :
x = 2y+7
y = -2
// Use the y value to solve for x
x = 2(-2)+7 = 3
good luck, I hope this helps!!!
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
5.5 is what percent of 6.875?
Answer:
80%
Step-by-step explanation:
Can anyone help me plz
Answer:
11
Step-by-step explanation:
BRAINLIEST PLZ
f(2) = (3x2) + 5
= 6+5 = 11