Answer:
Step-by-step explanation:
What Is a Principal Amount?
Principal amount on a loan is the amount borrowed. To better understand, let's look at the story of John. When John bought his first car he didn't have enough money to pay for it in cash, so he had to take out a loan. He borrowed $7,500. According to the terms of the loan, John had to pay it off in five years with an interest rate of 10%. The initial amount that he borrowed, or the $7,500, is called the principal amount of the loan. Keep in mind that the principal amount applies to more than just loans. It can also apply to money that is invested or deposited into an account. For example, if you open a savings account with a $700 deposit, the principal amount is $700.
What About Interest?
Principal amount does not include interest, or a rate paid as a fee for borrowing money. To figure out the amount of interest John paid during the five years, you can use the simple interest formula, which is a formula to calculate interest paid only on the principal amount. This formula is:
or interest equals principal amount times interest rate times amount of time. Using this formula, you will find that the amount of interest on John's $7,500 loan was $3,750. So, at the end of five years, he would end up paying a total of $11,250. This does not include any additional fees that may apply.
Principal Amount Formulas
For John's loan, we were given the principal amount and used it to find the amount of interest. What if we already know the interest rate, amount of interest, and amount of time, but we need to find out the principal amount? We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.
Let's try this out by finding the principal amount of a loan that has a total interest amount of $18,500 and an annual interest rate of 6.5% over 12 years.
To solve, we input the values into the equation, P = I / (RT). This gives us:
P = $18,500 / (0.065 * 12) = $23,718
The principal amount of the loan is $23,718.
(hope this helps can i plz have brainlist :D hehe)
if a function f(x)=x^3 has the domain {-3,0,2,4} what is it's range
Step-by-step explanation:
Range is y-values
= {-27,0,8,64}
2.
2.3*-1-3*
3*- 3x-1
Answer:
i got 27x-3.3 by simplifying
Step-by-step explanation:
Find the slope and initial value of the graph below. Then write the equation of the line. Write the equation of the line.
Answer:
y= x + 2
Hope this helps.
Danielle makes $5,000 per week as a surgeon. Soon she will receive a 15% raise. How much money will she make per week after this raise? $750 54.250 55.150 55.750 $7,500
Answer:
50000
Step-by-step explanation:
Answer:
$50,000 would be the answer
Step-by-step explanation:
-6 x (-8) =
What is this answer I am stuck on it?
Answer:
It is 48
Step-by-step explanation:
Since the negative signs cancel out it is positive and 6 times 8 is 48.
HOPE THIS HELPS!
help me pls kinda stuck lol
Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
Evaluate the expression. 6(3+5)/4
Answer:
12
Step-by-step explanation:
6(3+5)/4 add number inside parentheses
6(8)/4 multiply 6 and 8
48/4 divide
12
Hope this helped you!
help help help help help help ill give brainiest
Answer:
wowee,,, i hope these are right :,)
Step-by-step explanation:
5/3-x+1/3 : -3/2+2+1/2x
3/5-13/5 = 6.9+4.9
3x+0 = 3x
2x-3 = x-3+x
2x-6 = -6+2x
find the binomial which is a common factor of:-
plz ans it fast...
Step-by-step explanation:
step 1. why are you in a hurry?
step 2. a binomial that is a common factor of 121 - 25x^2 and 25x^2 + 55x + 121.
step 3. the factors. of 121 - 25x^2 are (11 - 5x)(11 + 5x).
step 4. the factors of 25x^2 + 55x + 121 are (5x + 11)(5x + 11).
step 5. the common factor is 5x + 11.
What is the area of the composite figure? 65 cm2
40 cm2
52.5 cm2
60 cm2
Area of the composite figure will be 52.5 cm².
Area of the composite figure,Divide the figure into small parts of different shapes.Add the areas of the divided figures.
Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG
Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(5)[8-(1+2)][/tex]
= [tex]\frac{1}{2}(5)(5)[/tex]
= 12.5 cm²
Area of rectangle DEFG = Length × Width
= 8 × 5
= 40 cm²
Area of the composite figure = Area of triangle ABC + Area of DEFG
= 12.5 + 40
= 52.5 cm²
Therefore, area of the composite figure will be 52.5 cm².
Learn more about the area of the composite figure,
https://brainly.com/question/12241989?referrer=searchResults
A nesting box for a falcon is put on top of a 96 ft pole. There are 3 ft in 1 yd.
Answer:
32 yards
Step-by-step explanation:
Help with math angles please
Answer:
1. 70
2. 22
3. 56
4. 16
5. 38
6. 15
7. 260
8. 7
Find the sum by first finding the equivalent fractions so both of the fractions have common
denominators.
Answer:
3x3/8x2 = 9/16
9/16+7/16 = 16/16
=1
if the measure of angle 1 = 17x - 30 and the measure of angle 2 = 7x + 18, what is the value of x?
Answer:
do you know the answer
The value of x is 4.8.
Given that,
The measure of angle 1 = 17x - 30 and the measure of angle 2 = 7x + 18.Based on the above information, the calculation is as follows:
Angle 1 = ANgle 2
17x - 30 = 7x + 18
17x - 7x = 18 + 30
10x = 48
x = 4.8
Therefore we can conclude that the value of x is 4.8.
Learn more: brainly.com/question/6201432
help plz i’ll give extra points
Answer:
A
Step-by-step explanation:
ans of this question
4 (3c+4d)
Answer: 12c+16d
Step-by-step explanation: 4(3c+4d)
(4)(3c+4d)
(4)(3c)+(4)(4d)
12c+16d
Answer:
Întâi faci paranteza și după de ie faci cu 4
please help.......................
Answer:
FD = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values
[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides
4x + 4 = 3x + 9 ( subtract 3x from both sides )
x + 4 = 9 ( subtract 4 from both sides )
x = 5
Thus
FD = x + 3 = 5 + 3 = 8
Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.
75°
174°
300°
-61°
-90°
Step-by-step explanation:
...............
......
ILL GIVE BRAINLIEST AND 10 POINTS
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answer:
432
Step-by-step explanation:
Rectangles Volume / Cubes Volume
9.4.3/2/1/2.1/2.1/2
54/1/8
54.8
432
Which situations can be represented by an exponential function?
Select each correct answer.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
The value of a vehicle decreases by 11% each year.
A dentist's office accepts 15 new patients each month.
9514 1404 393
Answer:
(a) subscriptions
(c) vehicle value
Step-by-step explanation:
Exponential functions are used to describe situations where the amount of change is proportional to the amount.
If the amount of change is a constant, then the function is linear.
A. video subscribers change by an amount proportional to their number, so is an exponential function.
B. the change in number of bricks in a row is a constant, so the function is a linear function.
C. The amount of change is proportional to the value, so the function is an exponential function.
D. The change in patient count is a constant, so the function is a linear function.
How many square feet of outdoor carpet will we need
8 square feet will be needed. 3x2= 6 + 2x1= 2= 8 square feet
1.125+1 2/3-2 5/6×(-8/27)=
A motorcyclist traveled at a rate of 60 miles per hour for 3 hours, then took a break for lunch for 45 minutes. She then traveled for another amount of time at 60 miles per hour before reaching her destination. If she traveled a total of 270 miles, and left at 9:30 a.m., at what time did she arrive at her destination?
Please help:( need this ASP
Answer:
2:45 p.m.
Step-by-step explanation:
60 miles per hour for 3 hours
time: 12:30
miles driven: 180
45 minutes for lunch
time: 1:15
miles driven: 180
60 miles an hour till she hits 270
270-180=90
90 miles = 1.5 hours of driving
1.5 hours plus 1:15 = 2:45
In ΔIJK, i = 74 inches, j = 23 inches and ∠K=20°. Find the area of ΔIJK, to the nearest square inch.
Answer:
291in^2
Step-by-step explanation:
Using the formula
Area of the triangle = 1/2absin theta
A = 1/2ijsin<K
Given
i = 74in
j = 23in
<K = 20 degrees
Area = 1/2 * 74*23sin20
Area = 37*23sin20
Area = 852sin20
Area = 291.059in^2
Hence the area of the triangle to nearest square inch is 291in^2
find the value of x
Answer:
Is that 12
12+x+3
x = 12-3
x = 9
In which quadrant is point G located?
III
I
II
IV
gradient of line 6x+2y+9=0
Answer:
gradient = - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c( m is the slope (gradient) and c the y- intercept )
Given
6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )
2y = - 6x - 9 ( divide the 3 terms by 2 )
y = - 3x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form
with gradient m = - 3
-10x+y=-22 -8x+y=-18 solve by elimination
Answer:
x=2, y= -2
Step-by-step explanation:
Answer:
-10x+y=-22---------equation 1
-8x+y=-18----------equation 2
subtract eqn 1 and 2
-10x+y=-22
-8x+y=-18
(+) (-) (+)
__________
-2x=-4
or, x=2
put the value of x in equation 1 we get
-10×2+y=-22
y=-22+20
or, y = -2
therefore x=2 and y=-2 ans.
I need to write a word problem for this equation and I don't know how to get started. Help!!!! N + (n + 8) + 2n = 364
Answer:
n = 89
Step-by-step explanation:
Ok so,
n + (n+8) + 2n =364
n+n+8+2n = 364
4n + 8 = 364
4n = 356
n = 89
I checked it...its right
if you have any questions please ask me
hope this helps. have a good day :)!!
Jared made 12 3 fourhs cups of snack mix for a party his guests ate two thirds of the mix how much snack mix did his guests eat
Answer: Jared guests ate = 8 1/2 cups of the snack mix.
Step-by-step explanation:
Total snack mix made by Jared = 12 3/4 CUPS
Amount eaten by guests = 2/3 of Total snack mix
which means they ate = 2/ 3 x12 3/4
= 2/3 x 51/ 4
=17/2 = 8 1/2 cups of snack mix.
Jared guests ate 8 1/2 cups of the snack mix.