Answer:
$124407.36
Step-by-step explanation:
Simple interest formula: I = P x R x T / 100
22 x 12 months = 264 months (=22 years)
7854 x 6 x 264 / 100 = $124,407.36
A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]
Answer:
Step-by-step explanation:
You suck free points
The change of the distance travelled by the ball when the angle of launch
changes can be found by linear approximation.
The change in the distance, Δs, when the angle changes by Δθ in radians is approximately 0.211·Δθ.Reasons:
The distance of the player from the basket = 18.6 ft.
Height from which the jump shot is launched = 10 ft.
Angle of the jump shot = 36°
The initial velocity = 25 ft./s
According to Newton's Law of motion, the distance an object travels when
released at an angle θ, with an initial velocity, v, is given by the following
horizontal range formula equation;
[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]
[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]
By linear approximation, we have;
[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]
Which gives;
[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]
360° = 2·π radians
[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]
Δs ≈ 0.211·Δθ
Therefore;
The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.
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What is the inequality shown?
Answer:
-4<_ 3
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 2x + y = 6. Fully
reduce your answer.
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Find the measure of m<CED
Answer:
I think it might be 4072 I forget how to do this kind of math sorry.
Step-by-step explanation:
On the coordinate plane, what is the distance between (4,1) and (5, 1)?
2 points
y-axis
64
$
4
3
1
X-axis
-6
5 4 3 2 1
1 2
3
4.5
-4
1 Unit
4 Units
5 Units
Answer: Sure,
Step-by-step explanation: d
=
√
17
or
d
=
4.1
rounded to the nearest 10th
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the two points from the problem and calculating gives the distance as:
d
=
√
(
1
−
2
)
2
+
(
−
5
−
−
1
)
2
d
=
√
(
−
1
)
2
+
(
−
4
)
2
d
=
√
1
+
16
d
=
√
17
d
=
4.1
rounded to the nearest 10th
:)
Answer:
The correct answer is C.
Help me plz AM SO STUPID AT MATH!!!!U WILL GET BRAINLIEST !
Answer:
91.98 (I was wrong the first time.)
Step-by-step explanation:
I looked up how to find the volume(Picture 1)
Length of cube: 7.3m
Height of cube: 6m
Width of cube: 2.1m
(Picture 2)
When you add them all up you get 91.98
Answer:
54.39
Step-by-step explanation:
33.6 + 20.79
54.39
for a school field trip there must be 20 students to 2 adults, 30 students to 3 adults, and 60 students to 6 adults. identify the student to adult ratio.
Answer:
7
Step-by-step explanation:
...
At the bottom of a mountain, a ski lift starts four feet above the ground. At the top of the mountain, the lift is 1356 feet higher. If the lift ascends 1 foot for every 4 feet it travels west, how far west of the starting position is the lift at the top of the mountain?
PLEASE HELP ASAP ill be very thankful
Answer:
5,424 ft.
Step-by-step explanation:
For every 1 foot the ski lift goes up by, it travels west 4 feet. So, because we know that the lift will be 1,356 feet higher at the top of the mountain, all we have to do is multiple 1,356 by 4.
1,356 * 4 = 5,424 ft.
I hope this helps. :)
Help you will get 30
Points
Answer:
Line A is filling more quickly
Step-by-step explanation:
Hope this helps!!:)
Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75
Answer: it’s A
Step-by-step explanation: I got it right, hope it helps ✨
The value of the expression [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]
How to substitute and get the value of an expression?The expression is as follows:
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]
using law of indices
Hence,
when a = 5, k = -2
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]
Then,
[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]
[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]
[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]
[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]
Therefore, the value of the expression is 25 / 9
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Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function that best represents Samantha's account and how much does she have in savings after 5 years?
Answer:
$608.32Step-by-step explanation:
Step one:
given data
principal P= $500
rate r= 4%= 0.04
time t= 5years
Step two:
The function that best represents Samantha's account
A=P(1+r)^t
substituting and solving for A, which is the final amount
A=500(1+0.04)^5
A=500(1.04)^5
A=500*1.2166
A=608.32
Thus, she has in savings after 5 years $608.32
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
Is quadrilateral ABCD a rectangle why or why not?
Answer:
Yes, quadrilateral ABCD is rectangle.
Step-by-step explanation:
This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.
Feel free to give brainliest.
Have an amazing day!
Please help me ! I will mark brainlist
Answer:
900
Step-by-step explanation:
I used the box method
Answer:
ha
Step-by-step explanation:
whats 1003 divided by 11
Answer:
it will equal 91.18181818181 oe 91 2/11
Step-by-step explanation:
I used a calculator. Good Luck!!
Can someone help me!
Honeydew melons are on sale at four different grocery stores. Which store
offers the lowest unit rate for honeydew melons, in dollars per pound?
$3.50
Happy Grocery:
7 pounds
.
sto
• Sullivan's:
5 pound
• Mother Nature:
$4.00
10 pounds
• Farmer's Pride: $0.45/pound
Answer:
Mother Nature
Step-by-step explanation:
Do you want one? Prolly will waste my time sorry :(
Answer:I would think c but let me check
Step-by-step explanation:
Michael read 135 pages in 1 1/2hours. Select all of the rates that are equivalent to this rate.
Answer:
A
Step-by-step explanation:
12. A total of 96 pints of blood were collected at the blood drive. How many quarts is this?
Answer: 48
Step-by-step explanation: conversion of pints to quarts will give you 48
In 96 pints, there are equivalent 48 quarts.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have a total of 96 pints of blood were collected at the blood drive.
1 pint = 0.5 quart
So, in 96 pints, there will be (96 x 0.5) = 48 quarts.
Therefore, in 96 pints, there are equivalent 48 quarts.
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The number of horses on the farm was one third of the number of chickens. If there are five horse on the farm, how many chickens are there?
pls include the equation.
Answer:
15
Step-by-step explanation:
h= horses c=chickens h(3)=c
h=5 5(3)=15
The ratio of the number of boys to the number of girls in a class is 5 to 7. How many boys are there if there are 21 girls?
Simplify to create an equivalent expression. 617 - 3y) + 6(y + 1)
Answer:
623+3y
Step-by-step explanation:
You distribute the 6 then you add the ys and the numbers together
an electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. write an equation for c, in terms of t, representing the total cost of the electricians services if the electrician spends t hours at the house working.
Answer:
y = 70x + 150
Step-by-step explanation:
y-intercept: 150
slope: 70x
Let x represent the amount of hours the electrician spent in the house.
Answer:
C=150+70t
Step-by-step explanation:
In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.
please helpp mecwith this question
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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)
I please need help finding the value of x.
Answer:
x = 7
Step-by-step explanation:
If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14
2x = 14 ⇒ x = 7
Please tell me the answer
Answer:
a shift 5 units to the left, and then a shift 3 units up.
What postulate is this SSS, ASA, AAS, or SAS? Will give brainliest to the correct answer, no trolls!!!
Answer:
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Step-by-step explanation:
4ym - a =z
Solve for M
Answer:
m=z/4y + a/4y
Step-by-step explanation: