A mortgage loan is termed as a loan that is used to purchase or maintain a home, land or other pieces of real estate.
The borrower agrees to repay the amount of loan to the lender over a period of time, usually in a series of regular installments divided into principal and interest. The property is used as security for the loan.
Calculation of the amount of mortgage is as follows:
[tex]\text{Interest}= \text{Mortgage amount} \times\frac{0.05}{12}\times3[/tex] = 1875
[tex]\text{Principal Pay }= 1000 \times3[/tex] = 3000
Total amount paid = Interest + principal pay = 1875 + 3000 = 4875
Initial balance = 150000
The remaining balance for the mortgage amount = initial balance - the total amount paid.
Amount of mortgage = $ 145125.
Therefore the closest to the mortgage balance after 3 months of payments is
(1) $145,165.
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can someone help with median and mode
the vertex of f(x) = 3x ^2+ 5x + 2 is a:
minimum
maximum
none of these
Answer:
minimum
Step-by-step explanation:
Given a quadratic in standard form f(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
f(x) = 3x² + 5x + 2 ← is in standard form
with a = 3
Since a > 0 then vertex is a minimum
k +-23 = -100
help me
Answer:
-77
Step-by-step explanation:
-77 + -23 = -100
what is 2324132352413142536-1342536435241342536/2354253643524125363541+425364763524142536475
That is going to be a looong answer...
[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]
and done
Bill launched a model rocket, and estimated its height h, in feet, after t seconds. His results are shown in the table.
Time, t
0
1
2
3
4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -1612 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E. 260 ft
Heyo!
So, the best prediction for the height of the rocket after 5.5 seconds, based on the given data above, I believe would be C. 220 ft.
Hope this helps! Pls, LMK if it does! Good Luck!
The best prediction for the height of the rocket after 5.5 sec will be 220 feet.
What is a quadratic equation?A quadratic equation is an equation where the highest power of the variable is 2.
Given data for the height of the rocket at different time is modeled by the function h(t) = -16t² + 128t
The height of the rocket after 5.5 sec will be
= h(5.5) = [- 16(5.5)² + 128 × 5.5] feet = (- 484 + 704) feet = 220 feet.
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A baker made 15 loaves of bread from 3 pounds of flour. Each loaf had the same amount of flour. How many pounds of flour were used to make each loaf?
Answer:
0.2 pounds
Step-by-step explanation:
You can use unitary method:
To make 15 loaves of bread, flour needed is 3 pounds
To make 1 loaf of bread, flour needed is 3/15 pounds = 0.2 pounds
4. A blanket shop had 27 feet of fabric. If they wanted to use the fabric to make 5 blankets, each the same length, how long would each one be? Between what two whole numbers does your answer lie?
in test need help
will give brainiest
Answer:
5 2/5. 5 or 6, I'm not completely sure though.
Step-by-step explanation:
Leon has $77,343 in a savings account that earns 9% annually.The interestis not compounded.To the nearest cent,how much interest will he earnin 4 months?
Answer:
$ 2320.3
Step-by-step explanation:
Leon has $77,343 in a savings account that earns 9% annually.The interestis not compounded.To the nearest cent,how much interest will he earnin 4 months?
Since the interest is not Compounded
We solve using Simple Interest formula
= P × R × T
P = $77,343
R = 9 %
T = 4 months
Converting to years
= 4/12 = 0.3333333333
Interest = $77,343 × 9% × 0.3333333333
=$2320.29
Approximately to the nearest cents = $2320.3
how are mimes and tableaus different. and how are they similar
PLZ!!!!! SOMEONE HELP!!!!!
COULD ANYONE HELPME!!!!!!!! PLZ!!!!!!!!!
Answer:
area of shaded portion of figure = 76.24 cm²
Step-by-step explanation:
find the area of the circle, a 60° segment of the circle, and an equilateral triangle with sides of 5 cm:
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of 60° segment of circle = 78.5/6 = 13.08 cm²
area of triangle = 1/2(4.33)(5) = 10.82 cm²
The shaded area will be:
full circle area - (60° segment - triangle) = 78.5 - 13.08 + 10.82 = 76.24 cm²
What is the volume, in cubic feet, of a cylinder with a height of 3 feet and a
base radius of 2 feet, to the nearest tenths place?
Answer:
i think 4 feet tall
Step-by-step explanation:
i think if it is wrong im sorry i tried
Answer:
37.7ft³
Step-by-step explanation:
Solve the following expression when
k= 12 and v = 6
ķ + 5 - 4v + 12
Answer:
-5
Step-by-step explanation:
[tex]\frac{12}{6} + 5 - 4(6) + 12 = -5[/tex]
Have a great day :)
In Exercises 2 and 3, find the value of x that makes PQR ~JKL.
Answer:
2. 4
3. 9
Step-by-step explanation:
2. 4 ~ 8
3 ~ x + 2
x + 1 ~ 10
8 / 4 = 2
2 (3) = x + 2
6 = x + 2
- 2 - 2
x = 4
2 (x + 1) = 10
/ 2 / 2
x + 1 = 5
- 1 - 1
x = 4
3. 9 ~ 13.5
x + 1 ~ 15
13.5 / 9 = 1.5
1.5 (x + 1) = 15
/ 1.5 / 1.5
x + 1 = 10
- 1 - 1
x = 9
The sum of three consecutive integers is 144. What is the smallest of these integers?
Answer:
They are 46, 48, 50.
Step-by-step explanation:
An even number is a multiple of
2
, then can be written as 2n. The next even number after
2
n
is
2
n
+
2
and the following is
2
n
+
4
.
So you are asking for which value of
n
it you have
(
2
n
)
+
(
2
n
+
2
)
+
(
2
n
+
4
)
=
144
I solve it for
n
6
n
+
6
=
144
n
=
138
6
=
23
.
The three numbers are
2
n
=
2
⋅
23
=
46
2
n
+
2
=
46
+
2
=
48
2
n
+
4
=
46
+
4
=
50
On a road trip, you stop to get gas when there is 1 4of a tank of gas left. You get the tank filled and this takes 12 gallons of gas. How much gas does the car's tank hold?
Answer: 16 gallons
Step-by-step explanation:
Since we are given the information that 1/4 of the gas is left, it simply means that (1 - 1/4) = 3/4 has been used.
The tank was filled and this was 12 gallons of gas.
Let the gas that the tank hold be represented by x. Therefore,
3/4 of x = 12
3/4 × x = 12
0.75x = 12
x = 12/0.75
x = 16
The tank holds 16 gallons of gas.
A baker used 4 bags of flour every 10 days. He used_
of a bag each day.
Answer:
0.40
Step-by-step explanation:
4/10 = 0.40
What is the answer to my question
15 and 16 please help no links
Answer:
both of the answers are C.
Terry bought 7 packs of dodger peanuts at the game.If each pack holds 1 2/3 ponds of peanuts how many pounds of peanuts did terry purchase in total
Answer:
11 2/3 pounds
Step-by-step explanation:
If a pack contain 1 2/3 pounds, 7 packs would contain :
1 2/3 x 7
[tex]\frac{5}{3}[/tex] × 7 = 35/3 = 11 2/3 pounds
The area of a triangle can be found based on the area of a _____. circle trapozoid parallelogram
Answer:
Trapezoid
Step-by-step explanation:
A triangle can be thought of as a trapezoid with one of the side length being 0.
Answer:
Parallelogram
Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)
PLEASEEE HELP WILL GIVE BRAINLIEST
Answer:
volume = 160 cubic units
Step-by-step explanation:
volume = (6 x 4 x 5) + (4 x 2 x 5) = 160 cubic units
Each month, the charge for a cell phone plan consists of a flat fee of $42, plus $12 per gigabyte of data.
Which equation represents the total monthly charge for the plan, C(d) dollars, as a function of the number
of gigabytes of data, d ?
A. C(d) = 12(42)d
B. C(d) = 12d +42
C. C(d) = 42d + 12
D. C(d) = (12 + 42)d
Answer:
B.) C(d)= 12d+42
Step-by-step explanation:
A flat fee means it is only paid once and doesn't increase or decrease.
The gigabytes of data fluctuate how much you pay the 12 dollar amount.
Meaning 12d represents the price of data and +42 shows the flat rate.
Overall giving us the equation C(d)= 12d+42.
The sketch shows part of the graph y=ab^x
Answer:
a = 3, b = 2
[tex]y = 3\cdot 2^x[/tex]
Step-by-step explanation:
[tex]y = ab^x\\3 = ab^0\\12 = ab^2\\~\\3=ab^0=a\cdot 1 = a\\a = 3\\~\\12 = ab^2 = 3b^2\\4 = b^2\\b = 2 \vee b = -2[/tex]
but we know from the graph being defined and positive, that b cannot be -2
b = 2
The value of a is 3 and value of b is 2.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph is y=abˣ
The points with coordinates (0, 3) and (2, 12) lie on the graph.
We need to find the values of a and b.
The point (0, 3)
3=ab⁰
a=3
Now point (2, 12)
12=ab²
Now plug in a value as 3
12=3b²
Divide both sides by 3
12/3=b²
4=b²
b=2
Hence, the value of a is 3 and value of b is 2.
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Shona has to draw the line with equation y = 3x + 2. Here is her line. Explain why Shona's line cannot be correct.
Answer:
Step-by-step explanation:
The y intercept cannot possibly where it is shown. The slope is correct. The line is going from the lower left to the upper right, and the 3 makes the line closer to the y axis. For example if x = 1 then y = 3*1+2 = 5.
If x = 2, then y = 3*2 + 2 = 8 so each move of x makes a huge difference in where y is.
So lets go back to the y intercept. When x = 0, then y = 2. y = 2 is about the x axis, not below it.
Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
What does the equation of a line imply?The equation of a line of the form y = mx + b shows a line on the coordinate plane, where for every value of x, we get a particular value of y, and m is the slope of the line. The slope is the value of tan θ, where θ is the positive angle formed between the x-axis and the line. b is the y-intercept. The y-intercept is the value of y when x = 0. This signifies that the line passes through the point (0, b).
How do we solve the given question?We are given an equation of a line y = 3x + 2, and a line of the coordinate plane.
We are asked to give the reason why the line on the plane is not the representation of the given equation.
The equation y = 3x + 2, when compared to the slope-intercept form of a line, y = mx + b, shows that the slope m = 3 and the y-intercept b = 2.
The line on the plane has a positive slope, so m = 3 can be its slope.
But the y-intercept of the drawn line is negative since it is below the origin. So b = 2 cannot be its y-intercept.
(Value of y is positive above the origin and negative below the origin)
(Value of x is positive to the right of the origin and negative to the left of the origin)
∴ Shona's drawn line cannot be the representation of her equation y = 3x + 2, as the y-intercept of her drawn line is negative, while the y-intercept of the equation is positive (b = 2).
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A bag contains eight black cards numbered 1 through 8 and six red cards numbered 1 through 6. You choose a card at random what's the possible outcome
Answer:
14 possible outcomes
Step-by-step explanation:
It is given that :
There are 8 black cards numbered 1 through 8.
Therefore, Black 1, Black 2, Black 3, Black 4, Black 5, Black 6, Black 7, Black 8.
And there are 6 red cards numbered 1 through 6.
Therefore, Red 1, Red 2, Red 3, Red 4, Red 5, Red 6.
So the total number of cards is 8 + 6 = 14 cards.
So, there will be 14 possible outcomes if we choose a card randomly.
Describe the end behavior of the given function f(x)=2/3x-2
Answer:
The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity
as x->- infinity, f(x)->- infinity
Step-by-step explanation:
When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).
Find the solution(s) to (x-3)^2=49. Check all that apply
A. x=-10
B. x=-4
C. x=7
D. x=-7
E. x=10
Answer:
B. x = -4
E. x = 10
Step-by-step explanation:
[tex](x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4[/tex]
1. Is 5(x+1) the same as 5x+1? Explain your
answer.
2. Write the expression one other way.
Answer:
Step-by-step explanation:
5(x+1), when expanded, becomes 5x + 5, which is ot the same as 5x + 1.
Given: a || b; c || d
a) List all angles congruent to angle 3._____________________
b) If m∠ 2 = 53º, then m∠ 12 = ______ and m∠ 8 = ______.
c) m∠ 4 + m∠ 12 + m∠ 13 + m∠ 6 = _________.
Answer:
c
Step-by-step explanation:
create a story problem for 2/3 x 2/4
A story problem for 2/3 x 2/4 is,
Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.
We have to given that,
Create a story for 2/3 x 2/4.
We can write a story problem for 2/3 x 2/4 as,
Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.
Which can be solve as,
⇒ 2/3 x 1/2
⇒ 1/3
Here, expression is,
⇒ 2/3 x 2/4
⇒ 1/3
Therefore, A story problem for 2/3 x 2/4 is,
Milson have 2/3 gallons of water and He wanted to split half of it with his brother. What fraction of the cake does Harry have.
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