Answer:
The principle will be "40295.63". A further explanation is given below.
Step-by-step explanation:
The given values are:
Total amount,
A = 99,000
Rate of interest,
R = 3%
Time period,
T = 30 years
= 360 months
As we know,
⇒ [tex]A=P(1+\frac{{\frac{R}{12} }}{100} )^T[/tex]
On substituting the values, we get
⇒ [tex]99000=P(1+\frac{\frac{3}{12}}{100})^{360}[/tex]
⇒ [tex]99000=P(1+\frac{\frac{1}{4} }{100}) ^{360}[/tex]
⇒ [tex]P=\frac{99000}{(1.0025)^{360}}[/tex]
⇒ [tex]P=40295.63[/tex]
The required value of principal will be p = "40295.63".
Given,
Total amount of loan is = A = $99,000
Rate of interest = R = 3%
Time period =T = 30 years
Convert into months = 12×30
= 360 months
According to the question,
[tex]A = P ( 1+ \frac{\frac{R}{12} }{100} )^{360}[/tex]
Put the value of A = 99,000 , T = 360 , R= 3
[tex]99,000 = P [ 1+ \frac{\frac{3}{12} }{100} ]^{360} \\\\P = \frac{99,000}{(1.0025)^{360} }[/tex]
P = 40295.63
The required value of principal p = 40295.63 .
For more information about Compound interest click the link given below.
https://brainly.in/question/1128320
Remi graphed the equivalent ratios in the table. One of the ordered pairs is (1, 2). Which other ordered pairs did he graph? Select all that apply.
(4, 2)
(2, 4)
(6, 3)
(3, 6)
(2, 6)
Answer:
b and d
Step-by-step explanation:
yup ‼️
Answer:
2,4 3,6
Step-by-step explanation:
its correct
how long will it take you to ski a distance of 24 miles at a speed of 6 miles per 30 minuuts
Answer:
Step-by-step explanation:
24 miles / x minutes = 6 miles / 30 minutes
or
24 / 6 is 4 and 4 * 30 minutes = 120 minutes or 2 hours
Answer:
6 hours
Step-by-step explanation:
it will take 6 hours to ski
8÷3/5=_____
In a fraction form
PLZ I NEED HELP
Solve the absolute value equation. 4|4x - 3| - 8 = -4
Answer:
x = [tex]1,\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]4|4x-3|-8=-4\\[/tex]
Add 8 to both sides;
4|4x - 3| = 4 4|4x - 3| = -4
Divide both sides by 4;
4x - 3 = 1 4x - 3 = -1
Add 3 to both sides;
4x = 4 4x = 2
Divide both sides by 4;
x = 1 x = [tex]\frac{1}{2}[/tex]
Please help with this!!!!!!!! ASAP
Answer:
yes
Step-by-step explanation:
Answer:
Did you even upload a photo or an I trippin?
is (11,9), (11,5), (9,3) a function
Answer:
[tex]\huge{ \boxed{ \sf{No}}}[/tex]
✑ Question :
Is ( 11 , 9 ) , ( 11 , 5 ) , ( 9 , 3 ) a function ?No , it's not a function.
✎ Reason :
This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.
♨ Explore about function :
↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.
Hope I helped!
Have a wonderful day ! ツ
~[tex]\sf{TheAnimeGirl}[/tex] ♡
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The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?
HELLLLLPPPPPP
Answer:
First number: 20
Second number: 30
Step-by-step explanation:
First#: x
Second#: y
Constraints:
x + y = 50
1/4x + 2/3y = 25
Isolate variable y:
x + y = 50
-1/4 (x + y = 50 )
-1/4x - 1/4y = -12.5
Add equations the two equations to eliminate x:
-1/4x - 1/4y = -12.5
1/4x + 2/3y = 25
_________________
5/12y = 12.5
5y = 150
y = 30
Substitution to find x:
x + y = 50
x + 30 = 50
x = 20
MAQ Unit 4: Parallel and Perpendicular Lines Assessment 8. Acub cut for wheelchairs must meet ADA (Americans with Disabilities Act requirements. Find the measure of 21 (exterior to the triangle) in the diagram below. 78° 1
Answer:
168
Step-by-step explanation:
- first we need to find the third angle of the triangle, and since 180 is the sum of all angles, 180 - 90 - 78 = 12
- 12 is the interior angle at point 1, the exterior angle is 180 - 12 = 168
(here we use 180 because its a straight line)
The measure of 21 (exterior to the triangle) is 168 degrees.
The calculation is as follows:
The third angle for the triangle is= 180 - 90 -78
= 12
Now the exterior angle should be= 180 - 12
= 168
Therefore we can conclude that the measure of 21 (exterior to the triangle) is 168 degrees.
Learn more: brainly.com/question/11707949
Frank's been traveling a lot lately as part of his job. During the past 30 days, he's been out of town 18 days. What fraction represents the number of the past 30 days that Frank has been out of town? Explain how you got your answer.
Answer:
3/5 represents the number of days he has been out of town in the past 30 days.
Step-by-step explanation:
I hope this helps I took the quiz and got it right.
what is 4x + 9 = 68 in the clearest number possible
Answer:
x = 59/4
Step-by-step explanation:
4x + 9 = 68
Subtract 9 from both sides.
4x + 9 - 9 = 68 - 9
4x = 59
Divide both sides by 4.
4x/4 = 59/4
x = 59/4
Answer:
X=0.75
Step-by-step explanation:
Step 1:
68-9=59
Step 2:
59 divided by 4= 14.75
Step 3:
0.75=3/4
14 3/4=14.75
Solution:
X=0.75
Another way is 59/4=14.75
The lines 5x + 2y = 14 and y = –5x + 9 are
A,parallel
b.perpendicular
c.neither
Answer:
A. parallel
Step-by-step explanation:
solve for y
2y= -5x+14
and
y = -5x + 9
they have the same slope, parallel lines have the same slope.
How do you answer this 2(x+y)=2x+2y
Answer:
the answer is 0
Step-by-step explanation:
do the distributive property and combine like terms
if f(x)=2x^4-x^3-3x^2+14 then f'(3)=
Answer:
f(3)=122
Step-by-step explanation:
A 2,100-square-foot home in Cheyenne, WY , costs $110 per square foot. How much does this home cost? (Do not enter anything but numbers for the answer or it will count it wrong. Follow directions please because I am not coming back to grade if you mess up)
$231,000.
Step-by-step explanation:We have been given that a 2,100 square foot home in Cheyenne Wyoming costs $110 per square feet.
To find the total cost of home we will multiply the total area of home by the cost of per square feet area.
The total cost of home:2,100 × 110 = 231,000$
Find the volume of the tetrahedron with the given vertices. (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4)
Answer:
The volume of the tetrahedron is
[tex]\frac{-32}{3}[/tex]
Step-by-step explanation:
To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).
We know by definition that the volume of a tetrahedron with vertices [tex](x_{1}, y_{1}, z_{1}), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3})[/tex] is
[tex]\frac{1}{6}\begin{vmatrix}
2 & 0 & 0 & 1\\
0 & 4 & 0 & 1\\
0 & 0 & 4 & 1\\
2 & 4 & 4 & 1
\end{vmatrix}[/tex]
From here we have:
[tex]\frac{1}{6}\begin{vmatrix}
x_1 & y_1 & z_1 & 1\\
x_2 & y_2 & y_2 & 1\\
x_3 & y_3 & z_3 & 1\\
x_4 & y_4 & y_4 & 1
\end{vmatrix}[/tex]
Finding the determinant of that matrix we have:
[tex]\frac{1}{6} (-64)[/tex] = [tex]\frac{-32}{3}[/tex]
determine the size of V
Answer:
Size of V = 95°
Step-by-step explanation:
The total sum of angles in a triangle is 180°
You can find Angles T and V.
2x+3x+5 = 180°-25°
5x+5 = 155°
5x = 155°-5
= 150°
x = 150°÷5
= 30°
Angle V = 3×30°+5
= 95°
Enter the decimal represented by the shaded square.
The shaded square represents
Answer:
0.8
Step-by-step explanation:
80 out of a 100 squares are shaded in.
Mrs.Kearns bought 1.5 pounds of ground beef from kroger. She paid a total of 6 .75 for the ground beef. what was the price per pound
Answer:
$4.50
Step-by-step explanation:
$6.75 divided by 1.5 equals $4.50
The price per pound of beef Mrs.Kearns bought is $4.5 per pound.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Mrs.Kearns bought 1.5 pounds of ground beef from Kroger and
she paid a total of $6.75.
Therefore, The cost of per pound can be obtained by dividing the total amount by the total pounds of beef which is,
= 6.75/1.5.
= $4.5 per pound.
learn more about the unitary method here :
https://brainly.com/question/28276953
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Find the area of the rhombus with diagonals a = 4 and b = 5.
A) 20
B) 10
C) 30
D) 40
don't guess. I'll give you brainly.
Answer:
Hey buddy, here is your answer. Hope it helps u
Step-by-step explanation:
The answer is b-10. The area of rhombus is 1/2*d1*d2. So 1/2*4*5=10. D stands for diameter.
Answer:10
Step-by-step explanation:
Can someone explain step by step
Answer:
Check below for step-by-step guide.
Step-by-step explanation:
a) Recall the formula for area is length times width. You are given both of those values. Width= (5x+2) and length = (4x-1). All you have to do is multiply them. You will get a quadratic!
b) This is just basically a lot of plugging in to the equation: Volume= length x width x height. So let's look at what we have!
It says our volume is 20x^3 + 63x^2+ 7x-6
It says our width is : (5x+2)
It says out length is (4x-1).
So the volume = l x w x h , we just plug in those numbers I listed above :
20x^3 + 63x^2+ 7x-6= (4x-1) (5x+2) (height)
Now remember you already multiplied length times width in problem (a). You can use that expanded quadratic on the right side. Then subtract values and isolate height!
You asked for an explanation of what to do step by step, so if you actually need help solving it, comment please! :)
please help me
thank
what is a solution to 3/4 a is greater than -16
Answer:
a > - 21.33
or
a > -21 1/3
Step-by-step explanation:
3/4a > -16
a > -16*4/3
a > - 64/3
a > - 21.33
or
a > -21 1/3
The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.
Which table shows the same data?
Answer:
IT is D!
Step-by-step explanation:
Hope this helps!!! ;) <3
Answer:
it is the last one.
all you have to do is match the graph and the charts
hope this helps :)
Ellen can purchase 5 apples for $1.75. How many apples can she get for $1?
Answer:
2 apples
Step-by-step explanation:
1.75 ÷ 5 = 0.351 ÷ 0.35 = 2.852.85 rounded = 2I hope this helps!
Please help #3 will mark brainliest
Answer:
im preety sure its c
Step-by-step explanation:
Which of the following inequalities is not true?
|-6| ≤ |-7|
-5 < -8
|-3| ≥ |3|
(-4) 2 ≠ -16
Answer: -5<-8
Step-by-step explanation:
Find the arc length of the curve on the given interval. Parametric Equations Interval x = 6t + 5, y = 7 − 5t −1 ≤ t ≤ 3
Answer:
31.241
Step-by-step explanation:
x = 6t + 5, y = 7 − 5t −1 ≤ t ≤ 3
dx/dt = 6
dy/dt = -5
The arc length of the curve can be calculated below as
L = ∫[tex]\sqrt{(\frac{dx}{dt} )^2 + (\frac{dy}{dt})^2 dt }[/tex]
= [tex]\int\limits^3_ {-1} \, \sqrt{36 + 25 dt}[/tex]
= [tex]\sqrt{61} \int\limits^3_ {-1} \, dt[/tex]
= [tex]\sqrt{61} [3-(-1)][/tex]
= 4[tex]\sqrt{61}[/tex] = 31.241
I NEED HELP ASAP PLEASE!!!
Answer:
-3x+1y=-1
or
3x-1y=1
or
by multiplying with 1/3 the first equation we get
-1x+1/3y=-1/3
or from second equation
1x-1/3y=1/3
Step-by-step explanation:
y-y1=m(x-x1)
y1=-7
x1=-2
m=3
so
y-(-7)=3(x-(-2))
y+7=3(x+2)
y+7=3x+6
-3x+y=6-7
-3x+ 1y= -1
please help soon ghhh
Answer:
the lines are NOT perpendicular because their slopes aren't negative reciprocals
1.5x + 12 = 3x + 17
x=
Answer:
x = -3.3
Step-by-step explanation:
Answer:
x=−3.333333
Step-by-step explanation:
