Answer: 8500
Step-by-step explanation:
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=7500\hspace{35px}r=0.015\hspace{35px}t=8
P=7500r=0.015t=8
Given values
A=7500e^{0.015(8)}
A=7500e
0.015(8)
Plug in
A=7500e^{0.12}
A=7500e
0.12
Multiply
A=8456.22638685
A=8456.22638685
Use calculator (with e button)
A\approx 8500
A≈8500
Round to nearest hundred dollars
A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive
Answer:
(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)
We know that:
v is the initial vertical velocity, and we know that it is 10ft/s
then:
v = 10ft/s.
s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:
s = 25ft
Now we can write the height as:
h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now with this equation, we can find the time it takes for the diver to hit the pool.
Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.
With that, we can find the value of t = time, that it takes for the diver to enter the pool.
h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now we can solve this with the Bhaskara equation:
[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]
We will have two solutions:
t = ((-10 + 41.23)/-32) s = -0.96s
t = (-10 - 41.23)/-32) s = 1.6 s
The negative has no physical sense, so we can discard that option.
This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.
What is equivalent to 6/9
Answer:
Answer: 2/3
Step-by-step explanation:
6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.
You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.
Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)
Answer:
Add a picture of the graph please?
Step-by-step explanation:
A female hippopotamus can weigh 48,000
ounces. How many tons can a female
hippopotamus weigh?
Answer:
1.5 tons
Step-by-step explanation:
1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 = 12/8 = 1.5 tons
The distance between two towns is 130 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between the two towns?
Please Give A Good Answer Ill Give Brainest And Extra Points
Answer: 81 miles
Step-by-step explanation:
From the question, we are informed that the distance between two towns is 130 kilometers and that there are approximately 8 kilometers in 5 miles.
The measurement that is closest to the number of miles between the two towns goes thus:
Firstly, we need to divide 130 kilometers by 8 kilometers. This will be:
= 130/8
= 16.25
Then, we multiply 16.25 by 5 to get the number of miles between the two towns. This will be:
= 16.25 × 5 miles
= 81.25 miles
= 81 miles
MATH HELP ME ASAP PLEASE
Answer:
53lbs.
Step-by-step explanation:
If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.
Equations:
7+x=60 or 60-7=53 lbs.
Answer:
3 pounds of gravel
Step-by-step explanation:
If you look at the chart, each bag of gravel is 20 lbs. If he bought 4 then that is 20 x 4. That equals 80. If he only used 77 pounds of it, then you get 80-77. That equals 3
Need help?!!??!!!!!!!
Answer:
Step-by-step explanation:
m : n = 2 :1
A(1 , 3 ) ; x₁ = 1 & y₁ = 3
B(7, 8) ; x₂ = 7 & y₂ = 8
Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]
[tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]
Solve mobiles plz help I’m confused
Answer:
Gold square = 4
Blue triangle = 3
Step-by-step explanation:
Red hexagon = 6, and there are 4 red hexagons. So the total is 24.
Therefore, the total on the other side must also be 24.
That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.
So each blue triangle is 3, and each gold square is 4.
the coldest temperature on record in town A is -3.33 degrees Fahrenheit. The coldest temperature on record in town B is -3 2/5 Fahrenheit. Which town has the colder temperature?
Answer:
town b
Step-by-step explanation:
-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.
Help needed immediately. :( this is my my third time posting and no one is helping
Answer:
I know for a fact its the first and third ones but if there are more than those two I don't know
Step-by-step explanation:
Answer:
triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer
hope it helps you!
Roberta is planting flowers in her garden. She plants 9 rows of flowers. There are 7 flowers in each row. How many flowers does she plant in all?
Answer:
63 flowers
Step-by-step explanation:
all you have to do is multiply 7 and 9
please help.
The price of an item at a store is p. The tax that is charges is 7%. The expression below shows the total amount that has to be paid. Mark all that apply. look at the picture I attached.
Answer:
E and D
Step-by-step explanation:
Solve
44 = 2(3x - 5)
Answer:
x = 9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
44 = 2(3x − 5)
44 = (2)(3x) + (2)(−5) (Distribute)
44 = 6x + −10
44 = 6x − 10
Step 2: Flip the equation.
6x − 10 = 44
Step 3: Add 10 to both sides.
6x − 10 + 10 = 44 + 10
6x = 54
Step 4: Divide both sides by 6.
[tex]\frac{6x}{6} = \frac{54}{6}[/tex]
x = 9
Hope it helps!!
Please help me............
Answer: Answer: I’m not big brain
Step-by-step explanation:
Step-by-step explanation:
write an equation that passes through (2,3) with a slope of 5
Answer:
7
Step-by-step explanation:
y=mx+c put the value of
x=2,y=3 and m=5 and solve this and you will get the answer of c=7
What is the value of x?
A.) х= 21
B.) x= 28
C.) x= 35
D.) x= 37
Answer:
I think the answer is B 28 sorry if I am wrong
Answer:
x=37
Step-by-step explanation:
Please help me with this! Legitimate answers only please!
Fill in the blanks with the proper/right options for the problem.
Answer:
x= amount of subscriptions
y= total amount
m= $5 rate of change
b= $15 a starting point....
Eq: y=5x+15
Caitlyn was drawing in Art class. She had 20 hearts and 15 flowers.
What is the ratio of flowers to hearts?
Answer:
15:20
Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20
15 : 20 hope it helped:)
Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?
A. 32
B. 5
C. 4
D. 22
4 games as:
5.59 * 8 = 44.72
178.88/44.72 = 4
Answer = C. 4
Mark as Brainliest please
Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have
Answer:
3
Hope this helps
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS
Answer:
121
Step-by-step explanation:
74+47=121
180-121=59
59+x=180
x=121
Simplify 50/780 if possible
Answer: 5/78
Step-by-step explanation: u simplify
Answer:
5/78
Step-by-step explanation:
Divide both parts by 10.
Hope I helped :)
Write the equation of the line that passes through the points (7,-9) and (2,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
y=-2x+3
Step-by-step explanation:
see the attached above.
I really sorry if you can't read me what I have done.
Best of luck :-)
Is the equation linear? Select Yes or No for each equation.
Answer: 1. yes 2. yes 3. no
if x or y has more than one ex: xx
it is not linear
can someone check my account to help me on my newest math problems?
CORRECT ANSWERS ONLY
wrong ones will be reported instantly
Answer:
Absolutely, I would be more than willing to.
Find −7(9m−2)+(−5+6m).
- 57m + 9
Step-by-step explanation:Hi there !
−7(9m − 2) + (−5 + 6m) =
= -7×9m - 7×(-2) - 5 + 6m
= - 63m + 14 - 5 + 6m
= - 57m + 9
Good luck !
Consider the functions f(x) = 2x + 9 and g(x) = (x - 9)/2. Calculate the following.
A. g( f( 15)) B. g( f( -3)) C. g( f( x))
9514 1404 393
Answer:
A. 15
B. -3
C. x
Step-by-step explanation:
C. Since we want different values of g(f(x)), it is convenient to find that first.
g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2
g(f(x)) = x
__
A. g(f(15)) = 15
__
B. g(f(-3)) = -3
HELP ASAP
Given f(x)= -5x +2 and g(x)= x +4, find (f •g)(x)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = - 5x + 2[/tex]
[tex]g(x) = x + 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](f \times g)(x) = f(x) \times g(x)[/tex]
[tex](f.g)(x) = ( - 5x + 2)(x + 4)[/tex]
[tex](f.g)(x) = - 5 {x}^{2} - 20x + 2x + 8 \\ [/tex]
[tex](f.g)(x) = - 5 {x}^{2} - 18x + 8 [/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
f (x+4) = -5x -18Select the false statement
A. Dilations make pre-images bigger.
B. Dilations make pre-images smaller.
C. A dilated image has different angle measurements than the pre-image.
D. A dilated image has the same angle measurements as the pre-image.
Answer:
C
Step-by-step explanation:
A & B & D are true
It simply makes it bigger/smaller with keeping the same angle measurements.
2) Ruth borrows $440 at 0.6% simple interest per month. When
Ruth pays the loan back 4 years later, how much interest does
Ruth pay?
Answer:
$10.56
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 0.6%/100 = 0.006 per year,
then, solving our equation
I = 440 × 0.006 × 4 = 10.56
I = $ 10.56
The simple interest accumulated
on a principal of $ 440.00
at a rate of 0.6% per year
for 4 years is $ 10.56.
Answer:
450.56
Step-by-step
440 x 0.006 x 4 + 440 =450.56