Answer:
a. Total cost of the principal = $217,411.20
b. Interest for the mortgage loan = $104,911.20
Step-by-step explanation:
Total cost of the principal = Monthly payment * Number of years * Number of months in a year = $603.92 * 30 * 12 = $217,411.20
Total cost of the principal of the loan includes the mortgage loan amount and the interest for the mortgage loan. Therefore, the interest for the mortgage loan can be calculated as follows:
Interest for the mortgage loan = Total cost of the principal - Mortgage loan amount = $217,411.20 - $112,500 = $104,911.20
June was thinking of a number. June subtracts 5.6 from the number and gets an answer of 76.9. Form an equation with x from the information.
Answer: x - 5.6 = 76.9
Step-by-step explanation:
The number June thought of would give a result of 76.9 if 5.6 were subtracted from it.
Assume that number is x.
If you subtract 5.6 from x, you would get 76.9.
Equation is therefore:
x - 5.6 = 76.9
Solving for x would make x:
x - 5.6 = 76.9
x = 76.9 + 5.6
x = 82.5
PLEASE HELP! YOU ARE SO AMAZING! HAVE AN AMAZING DAY :)) ALSO BRAINLIEST!
Carla makes $20 for each lawn she mows. The money she makes depends on the number of lawns she mows. How much money will she make if she mows 5 lawns? Follow the steps and solve an equation to represent the situation and solve the problem.
1. Let y represent the money Carla makes and x represent the number of lawns she mows. Write an equation that represents this situation. Tell which variable is the independent variable. Explain how you know.
2. Since Carla mows 5 lawns, substitute 5 for x in the equation you wrote. Then simplify the resulting equation.
3. How much money does Carla earn for mowing 5 lawns?
Answer:
20x=y
Step-by-step explanation:
20 lawns times (x) number of lawns she mows is (y) the amount she makes.
egan's flower bed has a length of 6 feet and a width of six eighths feet. Which of the following is true?
Question 13 options:
The area of the flower bed is equal to 8 square feet.
The area of the flower bed is larger than 8 square feet.
The area of the flower bed is equal to 6 square feet.
The area of the flower bed is smaller than 6 square feet.
A 25 foot ladder is leaning against a house. If the angle of Elevation of the ladder is 72 degrees:
How high up the house does the ladder touch?
How far away is the ladder from the house?
Round to the nearest tenth.
Answer:
1. 23.8
2. 7.7
Step-by-step explanation:
for the first blank
use sin because x is opposite and 25 is hypotenuse
set up an equation:
sin(72)= (x/25)
multiply both sides by 25:
25(sin(72))= (x/25)25
25(sin(72))= x
multiply 25 by sin(72):
23.8 = x
for the second blank
use cos because x is adjacent and 25 us hypotenuse
set up an equation:
cos(72)= (x/25)
multiply both sides by 25:
25(cos(72))= (x/25)25
25(cos(72))= x
multiply 25 by cos(72):
7.7= x
if given a set of ordered pairs how will you determine if it is a function?
PLEA HLP ASAPPPP!! I WILL GIVE U BRAINLIEST
Answer:
Well in my opinion a is negative correct me if I'm wrong. If you have more than one try you should pick B
Step-by-step explanation:
Answer: Zero
Step-by-step explanation: Zero because you can't divide 0 by 0
-12x + 2 y = 8
-6x + y = -3
Answer:
I'll give you the answer. This is system of equations, yes?
please help with this 8x2+4y÷z when x=12, y=34, and z=2 I don't know this
Answer:
3
Step-by-step explanation:
8x2+4y÷z
when x=12,
y=34,
and z=2?
1. Let the side length of each small square on the grid represent 1 unit. Draw two different triangles, e. Ach with base 5 1/2 units and area 19 1/4 units2. 2. Why does each of your triangles have area 1914 units2?
Answer:
Step-by-step explanation:
Given that:
Each small square on a grid represents 1 unit
Base of triangle = 5 1/2 units = 11/2
Area of triangle = 19 1/4 unit² = 77/4
The Area, A of a triangle is obtained thus :
77/4 = 1/2 * 11/2 * h
77/4 = 11/4 * h
h = 77/4 ÷ 11/4
h = 77/4 * 4 /11
h = 7 units
Answer: 20
Step-by-step explanation:
Find the height of a cuboid whose volume is 540 cu.cm and base area is 90 sq.cm .
Answer:
540/90=6
and is 6 cm
height is 6 cm
solve the right triangle (45-45-90)
Answer:
[tex]HI=HJ=\sqrt{30}[/tex]units
[tex]\angle I=45^{\circ}[/tex]
Step-by-step explanation:
We are given that
[tex]\angle J=45^{\circ}[/tex]
[tex]JI=2\sqrt{15}[/tex]units
We know that
[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]
Using the formula
[tex]sin45=\frac{HI}{2\sqrt{15}}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HI[/tex]
Where [tex]sin45^{\circ}=\frac{1}{\sqrt{2}}[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HI[/tex]
By using rationalization
[tex]HI=\sqrt{30}[/tex] units
[tex]Cos45=\frac{HJ}{2\sqrt{15}}[/tex]
Using the formula
[tex]cos\theta=\frac{base}{hypotenuse}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HJ[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HJ[/tex]
[tex]HJ=\sqrt{30}[/tex] units
When two sides are equal then angle made by two equal sides are equal
Therefore,
[tex]\angle J=\angle I=45^{\circ}[/tex]
A spaceship to the moon covered the 386,400 km in 72 hours. What was the average speed?
Answer:
289300 miles/72 hours * 1.60934 km/mile* 1 hour/3600 seconds = 1.48 km/second. Answer 6: To get average speed, we divide the total distance by the total time it takes to travel that distance. If we assume the distance to the moon is 238,900 miles then we divide by 72 hours to get roughly 3318 mph.
Step-by-step explanation:
Hope this helps!!
Solve this please with steps b^4-3b^3-10b^2
Answer:
Step-by-step explanation:
There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.
[tex]b^4-3b^3-10b^2[/tex]
First, factor out a b^2
[tex]b^2(b^2-3b-10)[/tex]
Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2
[tex]b^2((b-5)(b+2))[/tex]
How do I solve 2/3x-1=-3
Pls help me I will mark no need explanation ❤️❤️
Answer:
-1/3
Step-by-step explanation:
It's going 1 down and 3 across
abdel purchased a candy bar for $1.47 and ice cream for $3.48. How much change did he receive if he paid a ten-dollar bill.
Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.
Answer:
[tex]D(x)= x\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]Side = x[/tex]
Required
Represent the diagonal as a function
Using Pythagoras theorem, the diagonal is:
[tex]D^2= Side^2 + Side^2[/tex]
Substitute x for Side
[tex]D^2= x^2 + x^2[/tex]
[tex]D^2= 2x^2[/tex]
Take the square root of both sides
[tex]D= \sqrt{2x^2[/tex]
Split
[tex]D= \sqrt{2} * \sqrt{x^2[/tex]
[tex]D= \sqrt{2} * x[/tex]
[tex]D= x\sqrt{2}[/tex]
Express as a function.
[tex]D(x)= x\sqrt{2}[/tex]
A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
Step-by-step explanation:
x=180-59-41
x=80
Answer: 80°
Step-by-step explanation:
The sum of all angles in a triangle is always 180°
so 59° + 41° + x ° = 180°
or x = 180 - 41 - 59 = 80
__+7=2?
(Postive 7^)
I think the answer is,
[tex] - 5[/tex]
sorry if I'm wrong :(
What is the equation of the line that passes through the point
(
7
,
2
)
(7,2) and has a slope of
1
1?
Answer:
(y+2)= -3(x-7)
Step-by-step explanation:
We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:
y = m x + b
Where m is the slope and b is the y-intercept value.
We can substitute the slope into the formula giving:
y = − 3 x + b
Next, we can substitute the values from the points in the problem for x and y and solve for b :
− 2 = ( − 3x 7 ) + b
− 2 = − 21 + b
21 − 2 = 21 − 21 + b
19 = 0 + b
19 = b
We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.
y = − 3 x + 19
Another process is to use the point-slope formula. The point-slope formula states:
( y − y 1 ) = m ( x − x 1 )
Where m is the slope and ( x 1 , y1 ) is a point the line passes through.
Substituting the slope and values from the points in the problem gives:
(y − − 2 ) = − 3 (x-7)
( y + 2 ) = − 3 ( x − 7 )
need help please thanks
Answer:
6x-y = -18
Step-by-step explanation:
The product of 16 and the variable p
Answer:
16p
Step-by-step explanation:
Answer:
16p
Step-by-step explanation:
Have a great day
A postcard has a perimeter of 20 inches. Its area is 21 square inches. What are the dimensions of the postcard?
Answer:
Length = 3 inches
Width = 7 Inches
Step-by-step explanation:
The shape of a postcard = Rectangle
L = Length
W = Width
A postcard has a perimeter of 20 inches.
Formula for perimeter of a rectangle = 2L + 2W
Hence:
2L + 2W = 20.... Equation 1
Its area is 21 square inches.
The formula for Area of a rectangle = LW
Hence:
LW = 21
L = 21/W
We substitute 21/W for L in Equation 1
2L + 2W = 20.... Equation 1
2(21/W) + 2W = 20
42/W + 2W = 20
Multiply both sides by W
42 + 2W² = 20W
2W² - 20W + 42 = 0
2W - 14W - 6W + 42 = 0
(2W - 6)( W - 7) = 0
2W - 6 = 0
2W = 6
W = 6/2 = 3
W - 7 = 0
W = 7 inches
Solving for L
L = 21/W
W = 7
L = 21/7
L = 3 inches
The dimensions of the postcard are:
Length = 3 inches
Width = 7 Inches
simplify: (3 √u^2v)(5 √v^2)=
Answer: Do you know the values of u and v?
Step-by-step explanation:
Answer:
15vu^v
Step-by-step explanation:
What is the value of x in the diagram below?
Answer:
The answer is B:65°.
65 degrees
Step-by-step explanation:
The angles add up to 180 inside, the 145 suggests the inside angle is 35, and 65 (answer) would make the whole triangle add up to 180
BRAINLIEST PLZ
If you can help me with Slope Intercept plz help me
Answer:
y = 6/5x - 2 (or y = 1.2x - 2)
Step-by-step explanation:
To find the slope-intercept form ( = mx + b) you need to rearrange the equation of the line:
Step 1 - Add 18x to both sides
15y = 18x - 30
Step 2 - Divide both sides by 15.
y = 6/5x - 2
Indicate below whether the equation in the box is true or false 1/8 = to 2/4 true or false
Answer:
false
Step-by-step explanation:
1/8 = .125
2/4 = .5
therefore 1/8 does not = 2/4
HELP ME WITH THIS WHO ANSWERS CORRECTLY I WILL GIVE BRAINLIEST!
Solve in real numbers the equation
\-x+sqrt{1-x^{2}}\-=sqrt{2}\(2x^{2}-1\)\-x+sqrt1−x2 /-=sqrt2(2x2-1).
Answer: in real numbers the equation \displaystyle \-x+sqrt{1-x^{2}}\-=sqrt{ 2}\left(2x^{2}-1\right)\-x+sqrt1−x2\-=sqrt2(2x2− 1).
Step-by-step explanation:
please help me
Can the measure of an exterior angle of a triangle ever exceed 180°? Explain your reasoning.
Answer:
Yes I believe so because the interiors of a triangle always add up to 180 degrees meaning the outside mustn't follow this same rule hop this helps!
Step-by-step explanation:
Answer:
Lets assume you have a triangle ABC with a straight horizontal line at the bottom say line segment CD. In order for the exterior angle to be greater than 180 it must be a exceed rad Pi which mean it is impossible for an exterior angle to exceed the 180 rule