Answer:
18225
Use the formula: .
A = final amount
P = initial amount invested
r = annual interest rate
t = time (in years)
Insert all values in appropriate places.
Simplify.
A=16200(1+(0.025)(6))
Answer:
£18,225
Step-by-step explanation:
2.5% of £16,200 = £405
10% of £16,200 = £1,620
5% of £16,200 = £810
5 years: 16,200 + 5 x 405 = £18,225
A rate in which the first quantity is compared to 1 unit of the second quantity
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
Mr. Clark sold 280 bags of chips and 415 bottles of juice in 5 days. At this rate, Mr. Clark will sell bottles of juice in 12 days.
Answer:
is answer is 8,340
Step-by-step explanation:
add 280 and 415 and get 695
then multiply by 5 and get 3,475
then multiply 695 by 12 and get 8,340
find a fraction equivalent to 1/2
Answer:
50/100
Step-by-step explanation:
it is a half becaus 50 is half of 100 1 is hal of 2
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
The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?
What is the image point of ( 0, 4) after a translation right 2 units and down 3 units
Answer:
(2, 1)
Step-by-step explanation:
To do this add 2 to the x-value and subtract 3 from the y-value.
(0+2, 4-3) = (2, 1)
Answer:
(2,1)
Step-by-step explanation:
0+2=2
4-3=1
look at the graph and move ur mose however many counter to the right if its the right left if its left and then down if its down then up if its up
A car was bought for $20,000 and has depreciated at a rate of 10% yearly. Find the price of the car 8 years later.
Answer:
$4,000
Step-by-step explanation:
10% of $20,000 is $2,000, which means the price of the car is decreasing by $2,000 each year. After 8 years, the price of the car has decreased by $16,000 ($2,000 times 8 years). The totals cost of the car is now $4,000, as it was originally $20,000, but decreased by $16,000. (20,000-16,000=4,000).
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?
Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74
Median is the most appropriate measure of central tendency.
The least appropriate = mean
Yes there is an outlier.
Step-by-step explanation:
Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]
Its sum = 35
Mean of n observations = (Sum of observations) ÷ n
Mean = (35) ÷ 10
=3.5
Here n =10 (even)
Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]
Mode = most repeated number = 2 (thrice)
geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]
10 is an outlier as it is very large as compare to other numbers.
When outlier is present in data , the median is the most appropriate measure of central tendency.
Mean affected badly by the outlier so it the least appropriate.
Lin’s second pan has a length of \frac{8}{3} inches, a width of \frac{15}{4} inches, and a height of \frac{3}{2} inches.
Answer:
15
Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15
Could I plz have help of this
Answer:
wow um ok ill try?(if that counts)
Step-by-step explanation:
8x to 30y?
Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?
https://brainly.com/question/20659247 Someone please help I seriously need it just use the link know what here you go if you dont wanna use the link
plz help due in 10 min
Answer:
the answer is A <_______________^______________
Plz help if you can help
Answer:
A) 2x = -20 and C) x = -10
Step-by-step explanation:
2/5x = -4
5 • 2/5x = 5(-4) Multiply terms to eliminate the denominator
2x = -20 Cancel the multiplied terms
2x/2 = -20/2 Divide
x = -10
Hope this helps
For the image above which action below allows the scale to be balanced
Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?
12/15 and 1/15 is the prob
Please help me! I’m begging you I’ll mark you brainly! I need it by now
Answer:
Boxes at the top are as follows
Monomial. 1. 4x
Binomial. 2. 4x+2
Trinomial. 3.
Polynomial. More than 3.
[tex] {5x}^{4} + {2x}^{3} + {12x}^{2} + 135 [/tex]
This would be an example of a polynomial ^
Omit the next highest term to get a trinomial etc
1. 4th degree. Leading term:
[tex] {x}^{4} [/tex]
Leading coefficient: x
2. 2nd degree. Leading term:
[tex] - {7x}^{2} [/tex]
Leading coefficient: -7x
It's a little confusing to read but that should be everything. Sorry it's not organized better
Are buying a drink and buying popcorn independent or dependant events
-5.8c +4.2 – 3.1 + 1.4c
Solve this for me
Answer:
-4.4c+1.1
Step-by-step explanation:
round 429,713 to the nearest tens
will make brainliest
Answer:
429.7
Step-by-step explanation:
Answer:
429,710
Step-by-step explanation:
Plot and connect the points A (3, 1), B (5. 3), C(2,5), D (-1,5), E (-4,3), F (-2, 1), and find the length of DC.
A. 2 units
B. 4 units
C. 3 units
D. 5 units
how do i find the answer
Answer:
d = √[(-2 - 3)2 + (1 - 1)2] = √25 = 5 units
2х + 3 = 6x - 9
Show work please
Answer:
x=3
Step-by-step explanation:
subtract 2x from both sides then you are left with 3=4x-9
add 9 to both sides then you have 12=4x then divide both sides by 4 and x=3
Answer:
x=3
Step-by-step explanation:
2x+3=6x-9
subtract 3 both sides
2x=6x-12
subtract 6 x both sides
-4x=-6
divide 4 both sides
-x=-3 simplify (divide both sides by -1)
x=3
In which of the following expressions is 5 a coefficient?
19x + 4y + 5
7x2 + 4x5 + 2
x + 3 + 2 – x
5y + 4z
Answer:
5y + 4z
Step-by-step explanation:
hope that helps :)
I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.
Answer:
7 and 9
Step-by-step explanation:
Variables:
x = smaller number
y = larger number
We can set up two equations with the information given:
5x + 3y = 62
and
y = x + 2
We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.
Next, we need to replace our y in the first equation with the y in the second:
5x + 3y = 62
5x + 3 (x+2) = 62
5x + 3x + 6 = 62
8x = 56
x (smaller number) = 7
Finally, we solve for the larger number by placing it back into the second equation:
y = x + 2
y = 7 + 2
y (larger number) = 9
I hope this helps!
-TheBusinessMan
III
4.09 Unit Test: Lines - Part 1
What is an equation in point-slope form for the line that passes through the points (4, -1) and (-3,4)?
A.y+4= -(0+3)
B.y-3= -(x+4)
C.y+4= (x+3)
D.y-4= -(x+3)
Quick please
Answer:
D.y-4=-5/7(X=3)
Hope this helps!!!
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Three cans of tuna cost $2.00. How many cans of tuna can you buy for $12.00?
Best answer gets the brain thing
Answer:
6
Step-by-step explanation:
Answer:
3 cans cost 2
1 can cost 2/3
I wrote 2/3 to make it easier so you don't have to write in cents
2/3 can be spend to buy 1 can
12 can be spend to buy (2/3)(12) can
(2/3)(12)=8 cans
So the answer is 8 cans
You can buy 8 cans of tuna with 12 dollars
help ME PLS
WILL MARK BRAINLIEST
Answer:
62b+27nb-12n-12
Step-by-step explanation:
u gotta combine like terms
Answer:
-0.7 .................
A wire is (7x – 3) meters long. A length of (3x – 4) meters is cut for use(a) How much wire is left?
Answer:
The amount of wire left is 4x + 1
Step-by-step explanation:
Initially, the wire is (7x - 3) meters long.
A length of (3x - 4) meters is cut.
How much wire is left?
Initial amount subtracted by the amount that is cut. So
(7x - 3) - (3x - 4) = 7x - 3 - 3x + 4
We combine the like terms
7x - 3x - 3 + 4 = 4x + 1
The amount of wire left is 4x + 1
The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players
Answer:
0
Step-by-step explanation: