Answer:
He invested in stocks Say, = x $
He invested in bonds = (x/2)+6000
So,
x+ x/2 +6000=30000
2x+x+12000=60000
3x= 48000
x=16000
Investment in stocks= 16000 $
Step-by-step explanation:
!!
Answer:
$ 3 0 , 0 0 0 in Stocks
$ 2 7 , 0 00 in Bonds
Step-by-step explanation:
$ 3 0 , 0 0 0
- $ 3 , 0 0 0
_ _ _ _ _ _ _ _ _ _
$ 2 7 , 0 0 0
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
If fx) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
x + 6 >10 or 3x + 11 ≤ −7
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
UT is shorter than WT, therefore you cannot use it on this triangle.
I am joyous to assist you at any time.
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The
quadratic function h = - 16ť+ 136t + 72 models the ball's height about the ground, h, in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
feet
b) How many seconds does it take until the ball hits the ground?
seconds
Answer:
I hope this helps.
Step-by-step explanation:
h(t) = -16t2 + 108t + 28
(a)
Maximum height occurs at the vertex of the height-vs.-time parabola, which is at
t = -108/[2(-16)] sec = ? sec
Evaluate h(t) at this value of t to get hmax.
(b)
Set h(t) = 0 and solve the quadratic equation for t. You will get a positive and a negative solution. Discard the negative solution, since time starts at t = 0.
The quadratic function, h = -16t + 136t + 72, gives us:
a) The maximum height of the ball is 360 feet.
b) The time taken by the ball to hit the ground is 9 seconds.
What is a quadratic function?A quadratic function is a function over a quadratic expression, that is, over an expression having degree 2.
How to solve the question?In the question, we are informed that a person standing close to the edge of a 72-foot building throws a ball vertically upward. The quadratic function h = -16t² + 136t + 72 models the ball's height above the ground, h in feet, t seconds after it was thrown.
We solve the following:-
a) What is the maximum height of the ball?
The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides. we get:
[tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] .
To get point of inflection, we equate this to 0, to get:
[tex]\frac{\delta h}{\delta t} = -32t + 136 = 0[/tex],
or, -32t + 136 = 0,
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate [tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] again, to get:
[tex]\frac{\delta^{2} h}{\delta t^{2} } = -32[/tex] , which is < 0, which that implies, h is maximum at t = 4.5.
Now, we calculate the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360.
Therefore, The maximum height of the ball is 360 feet.
b) How many seconds does it take until the ball hits the ground?
The time taken can be calculated by putting the value of h = 0, and solving the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get:
[tex]t = \frac{-(-136)\pm \sqrt{(-136)^{2} - 4(16)(-72)}}{2(16)}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{18496 + 4608}}{32}[/tex] ,
or, [tex]t = \frac{136\pm \sqrt{23104}}{32}[/tex] ,
or, [tex]t = \frac{136\pm 52}{32}[/tex]
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
Therefore, The time taken by the ball to hit the ground is 9 seconds.
Learn more about quadratic equations at
https://brainly.com/question/15340389
#SPJ2
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
find the product of (−x−3)(2x2+5x+8)
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
Given that the following is a Rhombus, find the missing angles.
Answer:
1. 90
2. 61
3. 29
4. 61
Step-by-step explanation:
1 is a 90 degree angle. Triangles = 180 degrees
can someone help me please, i’ll give brainly. (10 points)
Answer:
Gradient of Line A: 0.75
Gradient of Line B: 0.8
Therefore the lines ARE NOT parallel.
Step-by-step explanation:
Find the gradient (slope) of line A and B respectively.
Line A Gradient:
Equation of line A is 3x - 4y = 5
Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).
Thus,
3x - 4y - 3x = -3x + 5
-4y = -3x + 5
Divide both sides by -4
y = ¾x + ⁵/4
The gradient = ¾ = 0.75
Line B Gradient:
Gradient of line passing through (4, 7) and (-1, 3)
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]
Gradient (m) = ⅘ = 0.8
Since both lines do not have the same gradient, therefore the lines are not parallel.
The following inequality has a solution in the form X > A. Solve the inequality and place the correct value of A into the box.
-17x - 10 > 7 - 20x
Answer: x > ______
Enter your answer as an integer or a reduced fraction in the form A/B.
The area of a rectangular skate park is 6/11 square miles. The length of the
skate park is 3/5 mile. What is the width, in miles, of the park?*
Answer:
The answer to your question is 150 ft
Process
1.- Find the area of the city skate park
2.- Find the equation of the area of the new city skate park.
3.- Find the value of "x",
1.- Area = length x width
Area = 100 x 50
= 5000 ft²
2.- (100 + x) /50 + x) = 15000
x² + 150x + 5000 = 15000
x² + 150x + 5000 - 15000 = 0
x² + 150x - 10000 = 0
Factor the equation
(x + 200)(x - 50) = 0
x₁ = -200 x₂ = 50 Length can not be negative so the answer is
50.
New length = 100 + 50 = 150 ft
Which number is 1/10 the value of 600?
Answer:
60
Step-by-step explanation:
Simply multiply to find your answer:
Answer = 600 x 1/10
Simplify. Divide:
600 x 1/10 = 600/10 = 60
60 is your answer.
~
Answer:
[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
b.
How many laps did Lin run in 1 minute?
Please hurry
Answer:
1.2 minutes, hope this helps (owo)/
Step-by-step explanation:
They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.
I'm supposed to solve for PQ. it's pythagorean theorem.
Answer:
29 i think
Step-by-step explanation:
pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29
A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate
Answer:
B
Step-by-step explanation:
5 + 11y + 9 what is the answer
Answer: 11y+14
Step-by-step explanation:
A TV that usually sells for $171.38 is on sale for 15% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?
Answer:
171.38 - 15% plus tax= 171.23
Hope this helped!
If BD bisects ∠ABC, find each value
Answer:
x=14
y=10
AD=19
CD=19
Step-by-step explanation:
x:
5x-6=64
+6 +6
5x=70
x=14
y:
3y-11=y+9
+11 +11
3y=y+20
-y -y
2y=20
y=10
AD:
3y-11
3(10)-11
30-11
19
CD:
y+9
(10)+9
19
help me out please. what is 5 ÷ 9/10 ?
HELP AGAIN PLSSSSSSSS
Answer:
5x5 = 25
hope this helps (again) :D
Choose the best estimate for the division problem below. 7.9 0.8 O A. 10 B. 8 O C. 15
Answer:
C. 15
Step-by-step explanation:
7.9
+8=15
thats why the answer is 15
What is | -7.9 ?
help
5x-3=12x+11
Algebra problem, pls help
Answer:
hope this helps \(owo)\
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
5x-3=12x+11
5x=12x+14
-7x=14
x= -2
JELPPPPP it’s due in 5 mins
The answer is 65
Step-by-step explanation:
all you had to do was divide
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet , what is the area of her yard
Answer:
364.08 Feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
the yard will have the area is A= L*W
A=24.6*14.8=364.08 ft^2
Write the given percent of increase or decrease as a growth factor.
7% Increase
a.1.7
c. 7.1
c.1.007
d.1.07
Answer: D
Step-by-step explanation:
Rewrite the following without an exponent. 6^-2
Please answer ASAP!
Answer:
Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
Step-by-step explanation:
We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]
We need to solve the exponent to find the result.
We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
Now using this rule to solve the equation:
[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]
So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]
