Answer:
Step-by-step explanation: example:
Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result: The principal was $500.
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?
Answer:
Step-by-step explanation:
Lateral area, Al = a√(a² + 4h²)
Where,
a = base edge = 5 in
h = height = 10 in
Lateral area, Al = a√(a² + 4h²)
= 5√(5² + 4*10²)
= 5√(25 + 4*100)
= 5√(25 + 400)
= 5√425
= 5 * 20.615528128088
= 103.07764064044
Approximately,
Lateral area = 103.08 in²
Answer: 100
Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100
what is 65 divded by 487
Answer:
0.13347022587
Step-by-step explanation:
Answer:
7 R 32
Step-by-step explanation:
0 0 7
6 5 4 8 7
− 0
4 8
− 0
4 8 7
− 4 5 5
3 2
Reflect A(-2,4), B(3,-5), C(2, 1) over the x-axis.
Answer:
When you reflect over the x axis, you change all the y values to their opposites (switch the sign)
Step-by-step explanation:
Suppose y varies directly with x, and y = 45 when x = 3. What is the value of y when x = -6?
Answer:
y=-90
Step-by-step explanation:
y = kx
45 = k 3
k = 15
~~~~~~~~~~~~
y = 15*-6
y=-90
Answer:
36
We should write a formula for their relationship:
Y = x+42. <- this is what a direct varieation is I believe.
So, when x is -6, y is +42 aka 36
worth 11 points and actually help me instead of taking the points plz
Answer:
C'(-1,1)
Step-by-step explanation:
The coordinates of C are (-2,4).
The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.
(-2+1,4-3)
=(-1,1)
C' has the coordinates (-1,1)
Answer:
Its ([-1],[1])Step-by-step explanation:
By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.
Help for brainliest
Find h.
9 ft
h = [?] ft
Answer:
[tex]\sqrt{77}[/tex] ft
Step-by-step explanation:
Hi there!
Notice how we can create a right triangle in the cone, where the base is 2 ft (4/2=2), the height is h and the hypotenuse is 9 ft.
Using these values, we can solve for h with the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the two legs of a right triangle and c is the hypotenuse.
Plug in 2 and h as a and b and 9 as c:
[tex]2^2+h^2=9^2\\4+h^2=81\\h^2=81-4\\h^2=77\\h=\sqrt{77}[/tex]
I hope this helps!
Please Help!!!! Please!!!!!!!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I found it easiest to draw arcs of radii AB and AC centered at A, and arcs of radii DB and DC centered at D. The intersection points of those arcs mark the points B' and C'. These are points B and C reflected across line AD.
Joining A, B', C', and D will make a figure symmetrical about AD.
Which function has zeros at x = -2 and x = 5?
Answer:
f(x) = x² - 3x - 10
Step-by-step explanation:
Given zeros x = - 2 and x = 5, then the corresponding factors are
(x + 2) and (x - 5) , so
f(x) = (x + 2)(x - 5) ← expand using FOIL
= X² - 3X - 10
Answer:
f(x) = x² - 3x - 10
(option D)
Step-by-step explanation:
The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to point C, how long is the tangent segment from point C to the circle? Use the figure below to help guide your response. Explain your answer and show all work.
Answer:
Exact Length = 2*sqrt(30)
Approximate Length = 10.95445
======================================================
Work Shown:
(tangent)^2 = (external secant)*(whole secant)
(CD)^2 = (CB)*(CA)
(CD)^2 = (CB)*(CB+BA)
x^2 = 5*(5+19)
x^2 = 120
x = sqrt(120)
x = sqrt(4*30)
x = sqrt(4)*sqrt(30)
x = 2*sqrt(30) .......... exact length
x = 10.95445 ............. approximate length
The length of the tangent segment is; x = 10.95
Length of TangentFrom secant theorem, we know that;
Tangent ² = length of external secant × total length of secant.
From the image, we see that;
Length of tangent is x.
External secant = 5
Total length of secant = 19 + 5 = 24
Thus;
x² = 5 × 24
x² = 120
x = √120
x ≈ 10.95
Read more about length of tangent at;https://brainly.com/question/9132922
The volume (v) of water stored in an open tank varies due to evaporation as v=x^4-50x^2+700 where v is expressed in gallons and x is number of months elapsed. If January correspond to x=0 what will the volume of water (in gallons) in the tank be in june
A.700
B.1200
C.75
D.100
Answer:
C) 75
Step-by-step explanation:
If January corresponds to x=0 then June corresponds to x=5.
Knowing this we can replace all values of x with 5.
[tex]v=x^4-50x^2+700[/tex]
[tex]v=5^4-50(5)^2+700[/tex]
[tex]v=625-1250+700[/tex]
[tex]v=75[/tex]
If 2 tan x/ 1- tan^2 x=1, then x can equal:
Answer: x=pi/8+npi and x=5pi/8+npi
Step-by-step explanation:
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer:
77
Step-by-step explanation:
i took the test
Answer:
c
Step-by-step explanation:
¿Cuál de los siguientes productos algebraicos es un Binomio Suma por Binomio Diferencia?
Seleccione una:
a. (a + b) (a - b)
b. (a - b) (a - b)
c. (a + b) (a + b)
d. (a + b) (c + d)
I need help here please
Answer:
Simultaneous equations
Step-by-step explanation:
4a + 7m = 17.75
2a + 5m = 10.75
Double the 2nd equation and then subtract the two equations to cancel the 4a out
Work with the 'm' terms and find the value of m
After finding the value of 'm', substitute it into one of the original equations (the ones given in the question) and solve to find the value of 'a'
Hope this helped
Hurry I need answers to this problem
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
Jude studied a total of 20.5 hours over a period of 5 days. On average, how many hours did Jude study each day
Answer:
4.1 hours each day
Step-by-step explanation:
20.5 ÷ 5
= 4.1
Therefore 4.1 hours was spent on studying each day.
X 8. From the given Venn-diagram, list the elements of the following sets, a) U b) XU Y and XUY c) X Y and X d) X - Y and X-Y e) Y - X and Y - X 11 15
Answer:
where is the Venn diagram plz insert Venn diagram then I should solve
Select the correct answer.
Convert (6,150°) to rectangular form.
Answer:
A
Step-by-step explanation:
basta letter A sagot dyan
Hi can anyone pls help me with this problem I would really appreciate it !
Answer:
A
Step-by-step explanation:
The scale factor k is the ratio of corresponding sides, image to original.
k = [tex]\frac{CP'}{CP}[/tex] = [tex]\frac{15}{75}[/tex] = 0.2
Since k < 1 this represents a reduction.
When a number is subtracted from five times of another number the result is 10. Check which of the following are solutions of the above statement?
a) (2, 0)
b) (5, 10)
c) (3, 5)
Answer:
(3,5)
5*3 = 15 .... 15-5 = 10
Step-by-step explanation:
he perimeter of the figure is given. Find the length of the indicated side.
3x − 3
Perimeter = 14x + 2
The length of the indicated side is .
Answer:
who's he, is it me, cuz id call that a failed abortion
Answer:
I am also stuck
Step-by-step explanation:
Helpppppp pls
Find h.
h = [?] in
Answer:
h=rt.96=4 rt.6
Step-by-step explanation:
r=2 inches
therefore 100= root over h + 4
=>h=rt.96=4 rt.6
LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his
brother was born in year 3, and his family moved in year 7
Which one of the following inequalities correctly compares the relative years?
Answer:
A
Step-by-step explanation:
change them both to absolute values->
3 and 7->
then compare->
7 is bigger :)
Answer:
7>-3
LeBron's family moved after his brother was born
:)
Select all the correct answers.
Which expressions are equivalent to the given expression?
Answer:
6√7=15.874507866387543=√252
Step-by-step explanation:
hope this is helpful
The expression that are equivalent to √252 are [tex]252^{\frac{1}{2} }[/tex] and 6√7.
How to find equivalent expression?
Applying the surd rule,
√a = [tex]a^{\frac{1}{2} }[/tex]
Hence,
[tex]\sqrt{252}=252^{\frac{1}{2} }[/tex]
using surd rule, we can also decompose √252
Therefore,
√252 = √36 × 7 = 6√7
Hence, the equivalent expression of √252 are as follows:
[tex]252^{\frac{1}{2} }[/tex]6√7learn more on expression here: https://brainly.com/question/27768447
#SPJ2
Help please guys if you don’t mind
Answer:
220 people per year.
that is the answer
Solve the problem.
An initial investment of $930 is appreciated for 19 years in an account that earns
6% interest, compounded continuously. Find the amount of money in the
account at the end of the period.
$1275.35
$22,067.28
$12,424,545.93
$2907.89
Answer:
$2907.89
General Formulas and Concepts:
Symbols
e (Euler's number) ≈ 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra i
Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 930
t = 19
r = 6% = 0.06
Step 2: Find Interest
Substitute in variables [Compounded Continuously Formula]: [tex]\displaystyle A = 930e^{19 \cdot 0.06}[/tex][Exponents] Multiply: [tex]\displaystyle A = 930e^{1.14}[/tex]Evaluate exponents: [tex]\displaystyle A = 930(3.12677)[/tex]Multiply: [tex]\displaystyle A = 2907.89[/tex]How do you solve this?
Answer:73825
Step-by-step explanation:
Shuts shield grid
Answer:
[tex]j=8[/tex]
Step-by-step explanation:
Special right triangles:
The sides of all 30-60-90 triangles are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side directly opposite to the 30 degree angle.
Since the base of the triangle is directly opposite to the 30 degree angle, the hypotenuse, j, must be equal to [tex]4\cdot 2=\boxed{8}[/tex]
Basic trig:
[tex]\sin 30^{\circ}=\frac{4}{j},\\j=\frac{4}{\sin 30^{\circ}}=\boxed{8}[/tex]
Could someone help me with this, please, I’ve been struggling for the past few hours, and I need to finish this within the next hour or I’ll get a zero, please anyone, and thank you if you do know how to help me
Answer:
-383.5
Step-by-step explanation:
4+2.5+1+...-33.5
a=4
c.d. d=2.5-4=-1.5
l=-33.5
l=a+(n-1)d
-33.5=4+(n-1)(-1.5)
-33.5-4=(n-1)(-1.5)
-37.5=(n-1)(-1.5)
[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]
2. The sum of k and 10 is 48
Answer:
k=38
Step-by-step explanation:
38+10=48
