Answer: The initial amount in the account is $650.
Step-by-step explanation:
The formula for compound interest is:
Future value = P * (1 + i)^t
Where,
P = Initial amount
i is the interest rate
t is the time period
The equation in the question takes the same format which means that the $600 is the initial amount in the account. It will then be compounded by the interest rate in the brackets over the amount of years the cash will be in that savings account.
PLEASE ANSWER!!!! SIMPLE MATH PROBLEM PLEASE
Graph y = -1/4x + 6. Please help!!
Answer:
6 1/4
Step-by-step explanation:
PLEASE HELP ASAP THIS IS TIMED
Answer:
B
Step-by-step explanation:
1 4/5
Find the surface are of a cylinder with a base diameter of 10m and a height of 7m. WLL GIVE BRAINLIEST IF U HAVE AN ACCURATE EXPLANATION!
Answer:
hi
Step-by-step explanation:
im adding an answer so u can giveee the guy brailiestz
Answer:
376.8 m²
Step-by-step explanation:
The formula for finding the surface area of a cylinder is SA=2πr²+2πrh, where r is the radius of the base and h is the height of the cylinder. Using the diameter of the base, we can first calculate that the radius of the base is 10/2=5 meters. Then, we can plug our values into the equation.
SA=2πr²+2πrh
SA=2π(5)²+2π(5)(7)
SA=2π(25)+2π(35)
SA=50π+70π
SA=120π
Because the question asks us to use 3.14 for π, we plug that into our equation.
SA=120(3.14)
SA=376.8 m²
I hope this helps!
PLEASE HELP “Determine whether the triangles are congruent. if so, name the postulate or theorem that justifies your answer.”
Answer: the triangles are congruent because
Step-by-step explanation: if you put them over lapping and switch the triangles then it would be the same. but you cant use this in your B answer.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x-12y = -84
Answer: x-3y+21=0
Step-by-step explanation:
move the constant to the left then divide both sides then booom
BRAINLIEST IF YOU ANSWER ALL!! HELP PLEASE
Answer:
11 n+7=18
31 n-9=22
7 5xm=35
50 m/5=10
15 18+s=33
17 40-s=23
3 27=9xs
6 18/s=3
5 m+m+12=22
2 m+14=18-m
Step-by-step explanation:
11: n+7=18
7: 5 x m =35
50: m/5 = 10
17: 40-s=23
3: 27= 9 x s
6: 18/s = 3
5: m+m+12 = 22
2: m+14 = 18-m
hope this helps!! :)
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. Write
a pair of parametric equations to model the path of the beetle. Which point represents the location of the beetle 5
seconds after starting?
Answer:
It actually (70, 195)
Step-by-step explanation:
The point that represents the location of the beetle 5 seconds after starting are; (70, 195).
How to define Parametric Equations?The pair of parametric equations to model the path of the beetle is;
x(t)= 14t and y(t)= 37t + 10
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds.
Proving the answer;
At t(0,10), x = 0 and y = 10
Thus;
For X-coordinate;
x(0) = 14(0)
x(0) = 0
Similarly;
For y-coordinate;
y(0) = 37(0) + 10
y(0) = 10
That corresponds with the coordinate t(0, 10).
At t = 2 seconds, we have;
For x-coordinate;
x(2) = 14(2)
x(2) = 28
Similalry, for the y-coordinate;
y(2) = 37(2) + 10
y(2) = 160
Now, At t = 2 seconds, we have;
For x-coordinate;
x(5) = 14(5)
x(5) = 70
Similalry, for the y-coordinate;
y(5) = 37(5) + 10
y(5) = 195
The point that represents the location of the beetle 5 seconds after starting are; (70, 195).
Read more about Parametric Equations at;
brainly.com/question/10165611
#SPJ5
Dawn is y years old.
Rashid is three times as old as Dawn.
Hugo is seven years younger than Dawn.
The total of Dawn's age, Rashid's age and Hugo's age is T years.
a) Find a formula for T in terms of y.
Answer:
T= y+ 3y-7
Step-by-step explanation
I'm pretty sure you can also write T= 4y-7 as a simplified form of the equation
The formula for T in terms of y can be written as;
T= y+ 3y -7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Dawn is y years old.
So, Rashid is three times as old as Dawn means R = 3y
Hugo is seven years younger than Dawn means H = y - 7
The total of Dawn's age, Rashid's age and Hugo's age is T years.
We can also write T= 4y-7 as a simplified form of the equation
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
This is a complex fraction
12 - 4 + 6 / 4 - 2 + 3
How do you solve it?
Answer:
I would start by adding/subracting the values in the numerator. by doing this you will get [tex]\frac{2}{4-2+3}[/tex] . Then do the same thing on the bottom to get [tex]\frac{2}{-1}[/tex] or -2
Answer:
I would start by adding/subracting the values in the numerator. by doing this you will get \frac{2}{4-2+3}
4−2+3
2
. Then do the same thing on the bottom to get \frac{2}{-1}
−1
2
or -2
what is the slope of (18,-5),(18,20)
Answer:
0/-25
Step-by-step explanation:
You use the slope formula the first x value you divided by the second x value and then put that at the numerator which equals 0 and the repeat with the y values and put the difference at the denominator and that equals -25
WILL MARK BRAINLIEST Select the correct answer. Consider these functions: f(x) = 3x^3 + 8x-2 k(x) = 4x What is the value of k(f(x))?
Answer:
D. 12x³ + 32x - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 3x³ + 8x - 2
k(x) = 4x
k(f(x)) is x = f(x)
Step 2: Find k(f(x))
Substitute: k(f(x)) = 4(3x³ + 8x - 2)Distribute 4: k(f(x)) = 12x³ + 32x - 8plzzz z z z z helpp p p p
Answer:
Step-by-step explanation:CAN I HAVE YOURE POINTS AND ITS THE SECOND ONE
Solve for x -5|x+ 1| =10
Step-by-step explanation:
x-5(x+1)=10
x-5x-5=10
-4x-5-10=0
-4x-15=0
-4x=-15
x=-15/-4
x=3.75
sorry...the answer is wrong..dont write
Answer:
no solution
Step-by-step explanation:
Given
- 5 | x + 1 | = 10 ( divide both sides by - 5 )
| x + 1 | = - 2
To have a solution the right side of the equation must be positive or zero
No absolute value can have a negative solution
Thus the equation has no solution
(I’ll give brainliest)
Answer:
i cant read it sorry
Step-by-step explanation:
The points (-5, -22) and (4, r) lie on a line with slope 3. Find the missing coordinate r.
Step-by-step explanation:
here,
x1= -5. x2=4
y1= -22. y2=r
slope(m)=3
now we have,
m=(y2-y1)/(x2-x1)
or,3=(r-(-22))/(4-(-5))
or,3=(r+22)/(4+5)
or,3=(r+22)/9
or,27=r+22
or,r=27-22
or,r=5
John has three bags, each containing x counters. He removes one country from each of his bags. Write an expression for the total number of counters in John's bag now
Answer: 3x - 3
Step-by-step explanation:
Each bag contained x counters and there are 3 bags.
He removes one counter from each of the 3 bags so the expression for the counters in each bag is now;
= x - 1
As there are 3 bags, the expression is;
= 3 * ( x - 1)
= 3x - 3
Use quadratic regression to find the equation for the parabola going through these three points (-7,134)(-3, 10)(5,50)
Please help me! Thanks
Answer:
Step-by-step explanation:
y = ax² + bx + c
a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)
a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)
a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)
(1) - (2)
40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)
(3) - (2)
16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)
(4) + (5)
12a = 36 ⇒ a = 3
2(3) + b = 5 ⇒ b = - 1
9(3) - 3( - 1) + c = 10 ⇒ c = - 20
y = 3x² - x - 20
y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]
if the second term of a geometric series is 48 and its fifth term is 6 then find the sum of its first term 6 terms
Answer:
The answer is 189.
Step-by-step explanation:
This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is [tex]48 \cdot 2[/tex] which is 96. Hence, we can work our way down from there:
List:
First term: 96
Second term: 48
Third term: 24
Fourth term: 12
Fifth term: 6
Sixth term: 3
Now, all we have to do is to add all the first 6 terms together to get:
[tex]96 + 48 + 24 + 12 + 6 + 3[/tex]
[tex]= 189[/tex]
The answer is 189.
Hope this helped!
Line l is parallel to line m. If the measure of <6 is 75o, what is the measure of <2?
Answer:
∠ 2 = 75°
Step-by-step explanation:
∠ 6 and ∠ 2 are corresponding angles and are congruent, thus
∠ 2 = ∠ 6 = 75°
Will mark Brianliest !!!!!!!!!!! Please answer correctly !!!!!
Answer:
[tex]\boxed {\boxed {\sf 53}}[/tex]
Step-by-step explanation:
This is a right triangle, which we know because of the little square in the corner.
We can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 28 and 45 are the legs, because they make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle.
[tex]a=28 \\b=45 \\[/tex]
[tex](28)^2+(45)^2=c^2[/tex]
Solve the exponents.
(28)²= 28*28= 784[tex]784+(45)^2=c^2[/tex]
(45)²=45*45=2025[tex]784+2025=c^2[/tex]
Add the two numbers.
[tex]2809=c^2[/tex]
Solve for c by isolating it on one side of the equation. c is being squared. The Inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{2809} =\sqrt{c^2}[/tex]
[tex]\sqrt{2809} = c[/tex]
[tex]53=c[/tex]
The third side and hypotenuse of the triangle is 53
[tex]\pink{\sf Third \: side \: of \: the \: triangle = 53}[/tex]
Solution :As, the given triangle is a right angled triangle,
Hence, We can use the Pythagoras' Theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
Here,
H = Hypotenuse of triangleB = Base of triangle P = Perpendicular of triangleIn given triangle,
Base = 45 Perpendicular = 28 Hypotenuse = ?Now, by Pythagoras' theorem,
[tex]\star\:{\boxed{\sf{\pink {H^{2} = B^{2} + P^{2}}}}}[/tex]
[tex] \sf : \implies H^{2} = (45)^{2} + (28)^{2}[/tex]
[tex] \sf : \implies H^{2} = 45 \times 45 + 28 \times 28[/tex]
[tex] \sf : \implies H^{2} = 2025 + 784[/tex]
[tex] \sf : \implies H^{2} = 2809[/tex]
By squaring both sides :
[tex] \sf \sqrt{H^{2}} = \sqrt{2809}[/tex]
[tex] \sf : \implies H^{2} = \sqrt{2809}[/tex]
[tex] \sf : \implies H^{2} = \sqrt{(53)^{2}}[/tex]
[tex] \sf : \implies H^{2} = 53 [/tex]
[tex]\pink{\sf \therefore \: Third \: side \: of \: the \: triangle \: is \: 53}[/tex]
━━━━━━━━━━━━━━━━━━━━━
Find the measure of each angle in the triangle.
Answer:
x=26°
Step-by-step explanation:
3x-14+x+90=180
4x-14=90
4x=104
x=104/4
x=26°
Identify an equation in point-slope form for the line perpendicular to
y=1/4x-7 that passes through (-2,-6).
A. y+6= -4(x+2)
B. y+6= -1/4(x+2)
C. y+2 = -4(x+ 6)
D. y-6=1/4(x-2)
Given:
Equation of line is [tex]y=\dfrac{1}{4}x-7[/tex].
The perpendicular line passes through (-2,-6).
To find:
The point slope form of perpendicular line.
Solution:
We have,
[tex]y=\dfrac{1}{4}x-7[/tex]
On comparing this equation with [tex]y=mx+b[/tex], we get
[tex]m=\dfrac{1}{4}[/tex]
Slope of given line is [tex]\dfrac{1}{4}[/tex].
Product of slopes of two perpendicular of the lines is -1.
So, [tex]Slope\times \dfrac{1}{4}=-1[/tex]
[tex]Slope=-4[/tex]
Slope of required line is -4 and it passes through (-2,-6). So, the point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-6)=-4(x-(-2))[/tex]
[tex]y+6=-4(x+2)[/tex]
Therefore, the correct option is A.
can somebody please help
Answer and Step-by-step explanation:
1. 3(5x - 4) = 8x + 2
15x - 12 = 8x + 2
15x - 8x = 2 + 12
7x = 14
x = 2
2. 9(n + 3) = 7n - 3
9n + 27 = 7n - 3
9n – 7n = -3 – 27
2n = – 30
n = –15
3. 2(10 - 6x) = x - 8x
20 - 12x = -7x
20 = -7x + 12x
20 = 5x
x = 4
4. 5a + 4(3a - 8) = 4 + 13a
5a + 12a - 32 = 4 + 13a
17a - 32 = 4 + 13a
17a - 13a = 4 + 32
4a = 36
a = 9
5. 2y + 18 = 12 - 6(y + 7)
2y + 18 = 12 - 6y - 42
2y + 6y = 12 - 42 - 18
8y = -48
y = -6
6. x - (5 - 3x) = 7x + 4
x - 5 + 3x = 7x + 4
4x - 7x= 4 + 5
-3x = 9
x = -3
7. 8(m - 5) = 2(3m - 8)
8m - 40 = 6m - 16
8m - 6m = -16 + 40
2m = 24
m = 12
8. -4(3 - 6d) = 9(2d - 2)
-12 + 24d = 18d - 18
24d - 18d = -18 + 12
6d = -6
d = -1
9. 7(10 - 3w) = 5(15 - 4w)
70 - 21w = 75 - 20w
-21w + 20w = 75 - 70
-w = 5
w = -5
10. 6t + 3(5t - 4) = 12(2t - 5)
6t + 15t - 12 = 24t - 60
21t - 24t = -60 + 12
- 3t = -48
t = 16
11. 2(9x - 1) = 99 - 7(3 - 4x)
18x - 2 = 99 - 21 + 28x
18x - 28x = 99 - 21+2
-10x = 80
x = -8
12. 6(5k - 8) - 20 = 11(2k - 3) + 3k
30k - 48 - 20 = 22k - 33 + 3k
30k - 68 = 25k - 33
30 - 25k = -33 + 68
5k = 35
k = 7
13. - x - (13 + 4x) = -3(5 - 9x) + 2
-x -13 - 4x = -15 + 27x + 2
-5x - 13 = -13 + 27x
-13 + 13 = 27x + 5x
0 = 32x
x = 0
10. If x = -2, y=-6 and z= 4, find the value of 4xy
Z
Answer:
192
Step-by-step explanation:
Given
4xyz ← substitute given values into expression
= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192
Need help fast thank you
Answer:
I think B
Step-by-step explanation:
Uhh
Pentagon PENTA has coordinates P(0,0), E (4,4), N (8,4), T ( 8,-4), and A (4,-4) and is dilated at the origin with a scale factor of 3/4. Select all that are coordinates of P’E’N’T’A?
Answer:
5
Step-by-step explanation:
because thats the answer
Answer:
P'(0,0), E' (3,3), N'(6,3), T'(6,-3), A'(3,-3)
Step-by-step explanation:
1.The dilation is by a scale factor of 3/4 meaning it's less than one, meaning the image will get smaller.
2.To find the new coordinates, multiply 3/4 by each number in the coordinate pair. For example 4x3/4 is 3 making (4,4) (3,3).
Given f(x) = -x + 6 write an equation for f(x+3)
Answer:
Step-by-step explanation:
f(x)=-x+6
f(x+3)=-(x+3)+6=-x-3+6=-x+3
Answer:
f(x + 3) = -x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = -x + 6
f(x + 3) is x = x + 3
Step 2: Evaluate
Substitute in x: f(x + 3) = -(x + 3) + 6Distribute -1: f(x + 3) = -x - 3 + 6Combine like terms: f(x + 3) = -x + 3PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
E that's the answer if reflected it'd look like a mirror image
Answer:
The answer is E
Step-by-step explanation:
How do I find the missing length
Answer:
KJ = 40
Step-by-step explanation:
Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ
and the similarity ratio is 56/42 = 4/3
which means KJ/30 = 4/3 cross multiply expressions
KJ = 40