Answer:
13.66 years
Step-by-step explanation:
Given data
P=$510
A=$1,010.18
R=5%
t= ln(A/P)/r
susbstitute
t= ln(1,010.18/510)/0.05
t=ln1.980/0.05
t= 0.683/0.05
t= 13.66
Hence the time is 13.66 years
Rysha ran a 5k and finished in 34 minutes. How many minutes did it take for her to run each kilometer?
Answer:
6 minutes, and 8 seconds
Step-by-step explanation:
You can simply get this answer by dividing .34 by 5.;)
what is the vertex of y=-x^2+12x-31?????
[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]
Vertex Form[tex]y = a{(x - h)}^{2} + k [/tex]
Where the a-term determines how wide, narrow, upward or downward the graph is.
The h-term determines the horizontal shift of graph. (x-axis)
The k-term determines the vertical shift of graph. (y-axis)
The vertex of graph is at (h,k). We can find the vertex by using the given formulas.
Find the vertexFrom the equation, the coefficients are:
[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]
Substitute these values in the formulas.
Find the value of h
[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]
Hence, the value of h is 6.
Find the value of k
[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]
Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form
Rewrite the equation of vertex form by substituting the value of h and k[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]
AnswerSince the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:
[tex] \large{(h, k)=(6, 5)}[/tex]
(6,5) is the vertex.
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
The Twix factory is producing Left and Right Twix, wrapping them separately, and then packaging them into a variety of bags. Each bag contains 25 pieces of candy. The number of Right Twix is three more than the number of Left Twix.
Write a system of equations that represents the situation.
Then solve the system of equations, SHOWING ALL YOUR WORK.
Answer:
Candies
l = 25b r = b(25 + 3)
Example: b = 10 bags
l = 25 x 10 r = 10(25 + 3)
l = 250 candies r = 10 x 28 = 280 candies
Bags
r = l + 3
Examples: r = 15 bags l = 15 bags
15 = l + 3 r = 15 + 3
15 - 3 = l + 3 - 3 r = 18 bags
12 bags = l
Find the product. (2f – 1)^2 =
Answer: 4f^2 -4f+1
Step-by-step explanation:
2f-1)^2
This is equal to
(2f-1) * (2f-1)
FOIL
first: 2f*2f = 4f^2
outer: 2f*-1 = -2f
inner: -1*2f = -2f
Last = -1*-1 = 1
Add them together: = 4f^2 -2f-2f+1
Combine like terms 4f^2 -4f+1
Answer:
(2f-1)(2f-1)
2f^2-2f-2f+1
2f^2-4f+1
4(3x – 1) – 2(6 + 2x)
Answer:
12x - 12
Step-by-step explanation:
4(3x)= 12x
-2 x 6 = -12
And since you are taking away 12 it works.
( Have a nice day hope this helps)
An eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased.
Lindsey had an exam and ordered 2 boxes of contact lenses for $112.97
Josh had an exam and ordered 6 boxes of contact lenses for $272.93
How much is the exam fee?
A$32.99
B$39.99
C$45.49
D$56.49
Answer:
to get the exam fee
$112•97 ÷ 2
45•49
$272•93 ÷ 3
56•49
Because the graph below is misleading, which magazine appears to have about four times the circulation of circuitry today?
a. American Ampersand
b. Waffle all World
c. Fossil Week
d. None of them
Answer:
A. American Ampersand
Step-by-step explanation:
Question is asking for what appears to be four times the circulation and American Ampersand appears to be four times the circulation.
Since the graph below is misleading, a magazine which appears to have about four times the circulation of circuitry today is: A. American Ampersand.
What is a graph?A graph can be defined as a type of chart that is typically used for the graphical representation of data such as magazine circulation in a country, by using both the horizontal and vertical lines, which are called x-axis and y-axis respectively.
By critically observing the misleading graph above, we can deduce that American Ampersand is a magazine which appears to have about four times the circulation of circuitry today because its bar is the smallest among others.
Read more on graphs here: brainly.com/question/25875680
#SPJ2
please help me !!!!!
Answer:
61 feet
Step-by-step explanation:
We can use the pythagorean theorem to solve this answer (a^2 + b ^2 = c^2, c= longest length)
50^2 + 35^2 = 61.03.
Rounded to the nearest whole number, the answer is D.
Answer:
C
Step-by-step explanation:
It's a right triangle so you can use a squared +b squared =c squared
a and b are the legs of the triangle which in this case are 50 and 25 feet.
Plug them into the equation:
50^2+25^2=c^2
50 squared = 2,500
25 squared = 625
2,500 + 625= 3,125
so c squared is 3,125. To get c you need the square root which is ~55 feet
Solve the following equation for x.
11x– 1 = -89
Answer:
x = -8
Step-by-step explanation:
11x– 1 = -89
Add 1 to each side
11x– 1+1 = -89+1
11x = -88
Divide each side by 11
11x/11 = -88/11
x = -8
what is the slope of -7,2 and -7,4
Answer:
The slope is undefined
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/( x2-x1)
= (4-2)/( -7 - -7)
= (4-2)/( -7 +7)
= 2 / 0
When we divide by 0, the result is undefined
The slope is undefined
Answer:
Undefined
Step-by-step explanation:
Since there is two points we can use (-7,2) and (-7,4) to find the slope
Slope formula for two points:
y2-y1/x2-x1
4-2/-7+7
Which is
2/0
Since 2/0 is not possible the answer will be undefined
Hope this helps!
1. A café menu has the following choices of cheese and toppings for scrambled
eggs
Scrambled Eggs
Cheeses and Toppings
Cheeses Toppings
Cheddar Bacon
Swiss Mushrooms
Onions
Tomatoes
Which list shows all the different combinations of 1 cheese and 1 topping
that could be used with scrambled eggs?
Answer:
the top answer in your picture is the right answer
Step-by-step explanation:
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz
Step-by-step explanation:
10x-40+15=-15
10x=-15-15+40
10x=10
x=1
Answer is 1
Z-12=4
what is Z worth?
Answer:
Z=16
Step-by-step explanation:
just add 12 to both sides so you are left with only Z on one side
Answer:
=16
Step-by-step explanation:
Simplifying
z + -12 = 4
Reorder the terms:
-12 + z = 4
Solving
-12 + z = 4
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + z = 4 + 12
Combine like terms: -12 + 12 = 0
0 + z = 4 + 12
z = 4 + 12
Combine like terms: 4 + 12 = 16
z = 16
Simplifying
z = 16
FIRST TO GET RIGHT GETS BRAINLIEST.
Answer:
770
Step-by-step explanation:
So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770. :D
find the slope of the line
Answer:
Number 7 is 3/4 and 8 is 4/-3
Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run
4.3x - 8.1 + 0.2x -17.5
Answer:
4.5x-25.6
Step-by-step explanation:
Hey there!
4.3x – 8.1 + 0.2x – 17.5
COMBINE your LIKE TERMS
(4.3x + 0.2x) + (–8.1 – 17.5)
4.3x + 0.2x = 4.5x
–8.1 – 17.5 = –25.6
Answer: 4.5x – 25.6 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Someone help please and make sure the answer is right plz :)
I am equivalent to 5/6
. The sum of my numerator and my denominator is 44. The sum of the digits in my denominator is 6.
Answer:
20/24
Step-by-step explanation:
If you simplify, you get 5/6.
What is the constant in the
expression below?
15 – 4b
A
B
С
Answer:
15 is the constant
Step-by-step explanation:
Does not have a variable next to it which means it remains a constant
26 POINTS !! PLEASE HELP (no fake answers please !)
Answer:
13
Step-by-step explanation:
SOLVE RIGHT NOW PLEASE. Determine the solution to the system of equations below by using the ELIMINATION METHOD.
6x+5y=39
3x+5y=27
Answer: x=4 and y=3
Step-by-step explanation:
We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.
i need to find the 9th term of this sequence
9514 1404 393
Answer:
26,244
Step-by-step explanation:
The sequence is geometric with a common ratio of -3. The general term is ...
an = (a1)r^(n-1)
The first term is 4, so we have ...
an = 4·(-3)^(n-1)
For n=9, we find the 9th term to be ...
a9 = 4·(-3)^(9-1) = 4·3^8
a9 = 26,244
_____
Additional comment
When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.
I NEED HELP ASAPPP
Fill in the blanks with the correct terms.
a
a) The Pythagorean Theorem works with
triangles
b) in the Pythagorean Theorem equation i a? +62)a' and 'b' represent the
) in the Pythagorean Theorem equation, 'c' stands for the
d) The opposite operation of raising a number to the second power (34) is d
left
hypotenuses
smallest leg
dividing by 2
right
legs
largest leg
multiplying by 2
equilateral
sides
hypotenuse
taking the square root
special
right angles
right angle
subtracting 2
Answer:
A) right. B) legs. C) hypotenuse. D) taking the square root.
Step-by-step explanation:
I am very familiar with the Pythagorean Theorem.
you can verify my answers by reviewing the Pythagorean theorem
plz mark me brainliest. ;)
Hakeem left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Hakeem is xx minutes after he left his house, until he got back home.
Answer:
where is the pic of the graph?
please help me =
solve 7+x/3 = 2x-5
Answer:
x = [tex]\frac{22}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{7+x}{3}[/tex] = 2x - 5 ( multiply both sides by 3 to clear the fraction )
7 + x = 3(2x - 5) ← distribute
7 + x = 6x - 15 ( subtract x from both sides )
7 = 5x - 15 ( add 15 to both sides )
22 = 5x ( divide both sides by 5 )
[tex]\frac{22}{5}[/tex] = x ( x = 4.4 )
1) Divide £10 into the ratio 2 : 3
Answer:
£4 and £6
Step-by-step explanation:
Let the common multiplier of the given ratios be x.
So, 2x and 3x are the two parts of £10.
Hence,
2x + 3x = 10
5x = 10
x = 10/5
x = 2
2x = 2*2 = 4
3x = 3*2 = 6
Hence, the two parts of £10 are £4 and £6.
Maximum and Minimum Values of General Quadratic Functions
1. By expressing y = 2x^2 + 4x + 17 in the form y = a(x + b)^2 + C, where a, b, and c are constants, state the minimum value of y and the value of x at which this occurs. Hence, sketch the curve y = 2x^2 + 4x + 17
x =
y =
Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
Customers can download books from an online bookstore for $8 each after paying $150 for an e-book reader. The total amount of money a customer spends on x books and the e-book reader can found using f(x)=8x+150.
What is the range of f in this situation?
A.All integers greater than or greater to 0
B.All real numbers greater than or equal to 150
C.(150,158,166,174,...)
D.(158,159,160,161,...)
Answer:C
Step-by-step explanation: (150,158,166,174,...)
Answer:
c
Step-by-step explanation:
it just is
what is the length of side a round to the nearest tenth of an inch.
Answer:
14.4
Step-by-step explanation:
We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.
16^2 - 7^2 = a
256 - 49 = 207.
the square root of 207 is 14.3874...
Rounding to the nearest tenth makes the answer 14.4