Answer: 6042.23
Step-by-step explanation:
P0=d(1−(1+rk)−Nk)(rk).
We have P0=$1,200,000,r=0.0195,k=12,N=20, so substituting in the numbers into the formula gives
$1,200,000=d(1−(1+0.019512)−20⋅12)(0.019512),
that is,
$1,200,000=198.602327d⟹d=
The total interest payable is $4,68,000.
Given,
An executive wishes to take out a $1,200,000 mortgage.
The yearly interest rate on the loan is 1.95% and the loan is for 20 years.
Payments will be made monthly.
Calculate the total interest payable.
Round your answer to the nearest thousand dollars.
What is simple interest?It is given by:
SI = (P x R x T) / 100
P = principal amount
R = rate
T = time
We have,
P = $1,200,000
R = 1.95%
T = 20 years
SI = (P x R x T) / 100
SI = (1200000 x 1.95 x 20) / 100
SI = (1,200,000 x 195 x 20) / 100 x 100
SI = 120 x 195 x 20
SI = $4,68,000
Thus the total interest payable is $4,68,000.
Learn more about simple interests here:
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Find cardinal number of H= Sunday, dog, house, car, month
Answer:
The cardinal number of h is house.
If 1,000 ml = 1 L, how many milliliters are there in 5 liters?
Group of answer choices
Answer:
5,000 mills.Step-by-step explanation:
Pls mark me brainly if I'm correct please, thanks C:
Find the equation of a line perpendicular to 3x−2y=−3 that contains the point (−5,5). Write the equation in slope-intercept form.
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[tex]y = - \frac{2}{3}x + \frac{5}{3} \\ [/tex]
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Pls help im in danger lf repeating
please help me it's really urgent
Answer:
-2
Step-by-step explanation:
Using the squeeze or sandwich Theorem,
A limit of f(x) exists if
Two functions g(x) and h(x) lie above and below respectively for values near the limit.If they all approach the same limit.Since the statement establishes, that let see if they approach the same limit.
[tex]g(2) = {2}^{2} - 3(2) = - 2[/tex]
[tex]h(2) = 2 - 2(2) = - 2[/tex]
So the answer is-2
Which of the following statements is TRUE?
Question 1 options:
The only factors of 9 are 1 and 9.
The only factors of 10 are 1, 2, and 10.
The only factors of 11 are 1 and 11.
The only factors of 12 are 1, 2, 6, and 12.
Answer:
the 3rd option
Step-by-step explanation:
A line intersects the points
(-2,9) and (3, -11).
What is the slope of the line in
simplest form?
m = [?]
[tex]\\[/tex]Answer:
m = - 4
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
Substitute (-2,9) and (3,-11) into m = [tex]\frac{y_{2} -y_{1} }{x_{2} x_{1} }[/tex]
= [tex]m=\frac{-11-9}{3-(-2)}[/tex]
m = -4
Answer:
Slope (m) = -4
Step-by-step explanation:
Given :-
Points (-2, 9) and (3, -11)
To Find :-
Slope (m)
Solving :-
m = y₂ - y₁ / x₂ - x₁
= -11 - 9 / 3 + 2
= -20 / 5
= -4
Solution :-
Slope (m) = -4
Find the EXACT circumference if the area is 196π square feet. Unit of measurement is feet or ft
Answer:
87.9645943005 feet
Step-by-step explanation:
The formula for the area of a circle is pi x radius to the power of 2. What number to the power of 2 is 196? 14.
So, the radius is 14.
The formula for the circumference of a circle is pi x diameter. If the radius is 14, the diameter is 28.
28 x pi = 87.9645943005
write the equation of the line in standard form with an x intercept of -7 and a y intercept of 10
Answer:
4x + 7y - 28 = 0
Step-by-step explanation:
If The perimeter of a square is 48 meters what is the length of the diagonal
Answer:
approximately 17
Step-by-step explanation:
Answer:
16.97m
Step-by-step explanation:
We know that, all the 4 sides of a square are equal.
Given that,
Perimeter of the square is 48m
First, let us find the length of a side the square.
For that, let the length of a side be x.
Therefore,
x + x + x + x = 48
4x = 48
Divide both sides by 4.
x = 12 m
Now let us find the length of the diagonal using Pythagorean theorem.
For that let the length of the diagonal be y.
So,
12² + 12² = y²
144 + 144 = y²
288 = y²
√288 = y
16.97 m = y
Therefore,
The length of the diagonal is 16.97m
garys garage has 12 liters of motor oil gary pours equal amounts of oil into 3 trucks how many liters of oil did gary pour in each truck?
What is the image of (6,-4)after a reflection over the y-axis?
Answer:
-6 -4
Step-by-step explanation:
NO LINKS!!! Solve each triangle. Part 2a
NOT A MULTIPLE CHOICE
1a. A= 40°, B= 20, a= 2
2b. A= 50°, C= 20°, a= 3
3c. B= 70°, C= 10°, b= 5
4d. A= 70°, B= 60°, c= 4
Answer:
Sum of interior angles of a triangle = 180°
Sine rule to find side lengths:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
----------------------------------------------------------------------
Question 1a
Given: A = 40°, B = 20°, a = 2
40° + 20° + C = 180°
⇒ C = 120°
[tex]\dfrac{2}{\sin 40}=\dfrac{b}{\sin 20}=\dfrac{c}{\sin 120}[/tex]
[tex]\implies b=\sin20 \cdot\dfrac{2}{\sin 40}=1.064177772...[/tex]
[tex]\implies c=\sin 120 \cdot \dfrac{2}{\sin 40}=2.694592711...[/tex]
----------------------------------------------------------------------
Question 2b
Given: A = 50°, C = 20°, a = 3
50° + 20° + B = 180°
⇒ B = 110°
[tex]\dfrac{3}{\sin 50}=\dfrac{b}{\sin 110}=\dfrac{c}{\sin 20}[/tex]
[tex]\implies b=\sin 110 \cdot\dfrac{3}{\sin 50}=3.680044791...[/tex]
[tex]\implies c=\sin 20 \cdot\dfrac{3}{\sin 50}=1.339426765...[/tex]
----------------------------------------------------------------------
Question 3c
Given: B = 70°, C = 10°, b = 5
70° + 10° + A = 180°
⇒ A = 100°
[tex]\dfrac{a}{\sin 100}=\dfrac{5}{\sin 70}=\dfrac{c}{\sin 10}[/tex]
[tex]\implies a=\sin 100 \cdot \dfrac{5}{\sin 70}=5.240052605...[/tex]
[tex]\implies c=\sin 10 \cdot \dfrac{5}{\sin 70}=0.9239626545...[/tex]
----------------------------------------------------------------------
Question 4d
Given: A = 70°, B = 60°, c = 4
70° + 60° + C = 180°
⇒ C = 50°
[tex]\dfrac{a}{\sin 70}=\dfrac{b}{\sin 60}=\dfrac{4}{\sin 50}[/tex]
[tex]\implies a=\sin 70 \cdot \dfrac{4}{\sin 50}=4.906726388...[/tex]
[tex]\implies b=\sin 60 \cdot \dfrac{4}{\sin 50}=4.522063499...[/tex]
Find the area. Simplify your answer.
Answer:
it sideways
Step-by-step explanation:
you built like this lollllllllllllllllll
Answer:
yes i am
Step-by-step explanation:
thank you for noticing my style
Jessica wrote the equation 440xh= 3,168, where h is the same number of hours it took a jet flying at a constant speed of 440 miles per hour to travel 3,168 miles. Solve for h.
Answer:
7.1 (I rounded this number to the tenths)
Step-by-step explanation:
440÷3,168 or use long division
Donovan 2 eats 2 granola bars and drinks 1 glass of orange juice for breakfast every day. The price of a granola bar
s B dollars and the price of a glass of orange juice is J dollars.
The expression 7(2B + J) describes how much Donovan spends on breakfast in one week.
Match each amount in the situation with the expression that represents it.
Answer:
See attached image
Step-by-step explanation:
See attachment
How many grams is in 1 kilogram
Answer:
1000
Step-by-step explanation:
There are 1000 grams in a kilogram, just do a metric unit conversion.
Hopefully this helps - let me know if you have any questions!
-5x - -4x - 10 = ?
Please Help Me!
Answer:
Today: Monday, 12 October 2020
Hour: 23.39 WIB (in Indonesia)
_________________________
-5x - - 4x - 10
-5x + 4x - 10
-x - 10
Theo and Anna are partners. they have one calculator between them. It takes Theo 60 minutes to do a set of word problems without a calculator and only 30 minutes by using one. It takes Anna 50 minutes to do the problems without a calculator and 40 minutes with one. To the nearest minute, what is the least amount of the time it would take them working together to complete the problems? Who should use the calculator?
Answer:
anna because it takes her less time
Step-by-step explanation:
Answer:
Anna
Step-by-step explanation:
I cant do a Step-by-step explanation
A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the gate. How many possible codes are there if the digits cannot be repeated?
Answer:
5040
Step-by-step explanation:
10 x 9 x 8 x 7 = 5040
Help help math math math
Answer:
[tex]\displaystyle y = -3x + 9[/tex]
Step-by-step explanation:
First, find the rate of change of the line:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]
_______________________________________________
Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:
[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]
I am joyous to assist you at any time.
Answer:
to much math
Step-by-step explanation:
The area of a circle is 65.71cm2.
Find the length of the radius rounded to 2 DP.
Answer:
5 cm
Step-by-step explanation:
Area of a circle: [tex]\pi r^{2}[/tex] {r=radius}
[tex]\pi r^2=65.71cm2[/tex]
[tex]r^2=65.71/3.14[/tex] [tex](\pi =3.14)[/tex]
[tex]r^2=20.92[/tex]
[tex]r=\sqrt{20.92} =4.57cm[/tex]
[tex]r=4.57=5cm[/tex]
[tex]r=5cm[/tex]
[RevyBreeze]
A random number generator is used to select a number from 1 to 100. What is the probability of selecting an even number
Answer:
There is a 50% chance that the random number generator picks an even number
Step-by-step explanation:
Out of all the numbers between 1 and 100, 50 out of the 100 numbers are odd and 50 out of the 100 numbers are even.
Find the equation of the line from given point and slope.....
a) passes through (-5,4) and has slope, m=1/2
Answer:
Slope-intercept form:
[tex]y=\dfrac12x+\dfrac{13}2[/tex]
Standard form:
[tex]x-2y=-13[/tex]
Step-by-step explanation:
Point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the point)
Given:
[tex]m=\dfrac12[/tex][tex](x_1,y_1)=(-5,4)[/tex]Substituting these values into the point-slope formula:
[tex]\implies y-4=\dfrac12(x+5)[/tex]
[tex]\implies y-4=\dfrac12x+\dfrac52[/tex]
[tex]\implies y=\dfrac12x+\dfrac{13}2[/tex]
Slope-intercept form:
[tex]y=\dfrac12x+\dfrac{13}2[/tex]
Standard form:
[tex]x-2y=-13[/tex]
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the
first day of school. He puts m mechanical pencils in each bag. He puts twice as many
regular pencils in each bag.
Which expression represents the total number of pencils Mr. Moretti gives to his students? Choose ALL that apply
Answer: 18 (m + 2m); 18m + 18 (2m); 54m
Step-by-step explanation:
The expression that represent the total no of pencil Mr. Moretti gives to his students is 18 (m + 2m); 18m + 18 (2m); 54m.
Given that,
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag.Based on the above information, the above are the expressions.
Learn more: brainly.com/question/17429689
Question 5
Simplify x2-9 / x+3
Answer:
my 8k is a responsibility to ensure the correct
Step-by-step explanation:
I hope personally is am jare for you and I hope that it is possible that I
The graph of the parent functions f(x)=x^3 is translated to form g(x)=(x-7)^3+9. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)
Answer:
(7, 9)
Step-by-step explanation:
The (x-7) indicates that the graph will be shifted to the RIGHT 7 units. The +9 at the end of the equation means the graph will be shifted UP 9 units.
So the point (0,0) will land at (7,9)
Help due today plsss :))
Answer:
D. g(x) = 3x²
Step-by-step explanation:
Clearly, g(x) = 9x² = (3x)².
The correct option is :-
D. g(x) = 3x²