Answers
Answer:
c. p(10)=26,327(1+0.024)^10
Step-by-step explanation:
its just the answer
Answer:
[tex]\boxed{\sf Option \ 3}[/tex]
Step-by-step explanation:
The problem is exponential growth.
[tex]a(1+r)^t[/tex]
[tex]a = \sf initial \ amount[/tex]
[tex]r = \sf rate[/tex]
[tex]t= \sf time[/tex]
The third option is right.
[tex]P(10)=26237(1+2.4\%)^{10}[/tex]
[tex]P(10)=26237(1+0.024)^{10}[/tex]
Related Questions
The total price of four oranges and five pears is $32 while the total price of three oranges and two pears is $17. How much is a pear?
Answers
Answer:
A pear is 3.4
Step-by-step explanation:
Answer: A pear cost $4.
Step-by-step explanation:
If the total price of four oranges and five pears is $32 then we could represent it by the equation 4x + 5y = 32 where x is cost of one orange and y is the cost of one pear.
The same way we could represent the second statement by the equation
3x + 2y = 17
We know have the two systems of equations:
4x + 5y = 32
3x + 2y = 17 Solve using the elimination method
Multiply the top equation by -3 and the down equation by 4 to eliminate x.
-3(4x + 5y) = -3(32) = -12x - 15y = -96
4(3x +2y) = 4(17) = 12x + 8y = 68
We now have the two new equations:
-12x -15y = -96 Add both equations
12x + 8y = 68
- 7y = -28
y= 4
Which means the cost of one pear is $4.
Suppose that Frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. The first box contains three white balls and two blue balls, and the second box contains four white balls and one blue ball. What is the probability that Frida picked a ball from the first box if she has selected a blue ball
Answers
Answer:
3/4
Step-by-step explanation:
Given the following :
Number of boxes = 2
First box :
White balls = 3
Blue balls = 2
Second box:
White balls = 4
Blue balls = 1
What is the probability that Frida picked a ball from the first box if she has selected a blue ball?
Probability (P) = (required outcome / Total possible outcomes)
Probability of picking first box : P(F) = 1/2
Probability of not picking second box :P(S) 1/2
Probability of picking blue from first box : P(B | F) = 3/5
Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5
probability that Frida picked a ball from the first box if she has selected a blue ball?
P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))
(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)
3/10 ÷ (3/10 + 1/10)
3/10 ÷ 4/10
3/10 * 10/4
= 3/4
A portion of the Quadratic Formula proof is shown. Fill in the missing reason. A: Multiply the fractions together on the right side of the equation? B: Subtract 4ac on the right side of the equation? C: Add 4ac to both sides of the equation? D: Add the fractions together on the right side of the equation?
Answers
Answer:
Combine numerators over the common denominator to make one term
Step-by-step explanation:
Answer:
D: Add the fractions together on the right side of the equation
Step-by-step explanation:
Let's finish this proof:
Add the fractions together on the right side of the equation
[tex]$x^2+\frac{b}{a} x+\left(\frac{b}{2a} \right)^2=\frac{b^2-4ac}{4a^2} $[/tex]
[tex]\text{Consider the discriminant as }\Delta[/tex]
[tex]\Delta=b^2-4ac[/tex]
Once we got a trinomial here, just put in factored form:
[tex]$\left(x+\frac{b}{2a}\right)^2=\frac{\Delta}{4a^2} $[/tex]
[tex]$x+\frac{b}{2a}=\pm\frac{\Delta}{4a^2} $[/tex]
[tex]$x+\frac{b}{2a}=\pm \sqrt{\frac{\Delta}{4a^2} } $[/tex]
[tex]$x=-\frac{b}{2a}\pm \sqrt{\frac{\Delta}{4a^2} } $[/tex]
[tex]$x=-\frac{b}{2a}\pm \frac{ \sqrt{\Delta} }{2a} $[/tex]
[tex]$x= \frac {-b\pm \sqrt{\Delta}}{2a} $[/tex]
[tex]$x= \frac {-b\pm \sqrt{b^2-4ac}}{2a} $[/tex]
the cost of cementing a wall 8 feet wide and 24 feet long at 14.40 a square yard is
will mark brainlist
Answers
Answer:
$307.20
Step-by-step explanation:
8×24=192
Convert 192 square feet to square yards, which is 21.3333
Then multiple: 21.333×14.40=307.1999
Then round to the nearest hundredths
The final answer is $307.20
Which statement about the relationship shown in the graph is true?
Answers
Answer: The number of pounds depend on the total price.
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
It just is also, it’s for plato
the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression shows the number of states that entered the union in 1889
Answers
Answer:
x = s/2
Step-by-step explanation:
● s states have joined the union in 1788
● half of s have joined in 1889
Let x be the number of states that have joined in 1889
● x = (1/2)× s
● x = s/2
Cory remembers that his ATV had 4 gallons of gasoline in the tank on Monday. After driving a total of 40 miles during
the week, he has 2 gallons of gas remaining. Find the slope of the graph representing this situation.
Answers
Answer:
-1/20
Step-by-step explanation:
For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.
To find slope the formula is (y2-y1)/(x2-x1)
So in this case it is 2-4/40-0
-2/40
This reduces to -1/20
Find the surface area of a
sphere with a diameter of
15 in.
Can someone please explain how?
Answers
Answer:
About 706.5 square inches.
Step-by-step explanation:
Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]
The radius is half the diameter. So, the radius of the given sphere is 7.5 in.
15/2 = 7.5
Find the surface area:
I use 3.14 for pi.
[tex]SA=4*3.14*7.5^2\\\\SA=4*3.14*56.25\\\\SA=12.56*56.25\\\\\boxed{SA=706.5}[/tex]
The surface area is about 706.5 square inches.
Hope this helps.
Answer:
SA=706.86 in²
Step-by-step explanation:
surface area of a sphere = 4πr²
radius r=d/2=15/2=7.5
SA=4(π)(7.5)²
SA=706.86 in²
If p varies directly with T and p =105 when T=400.Find p when T =500
Answers
Answer:
p = 131.25Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
[tex]k = \frac{21}{80} [/tex]So the formula for the variation is
[tex]p = \frac{21}{80} T[/tex]when
T = 500
Substitute it into the above formula
That's
[tex]p = \frac{21}{80} \times 500[/tex]
Simplify
The final answer is
p = 131.25Hope this helps you
The length of the major axis of the ellipse below is 10 What is the sum of the lengths of the red and blue line segments? A. 10 B. 5 C. 15 D. 20
Answers
Answer:
A. 10
Step-by-step explanation:
As we know that
The length of the major axis of the ellipse is 10
i.e
2 a = 10
Also, the ellipse is the curve that consists of 2 focal points in order that the total of the distance to the 2 focal points would remain constant for each and every point displayed in the curve
Now we assume that P is the curve point
So,
PF1 + PF2
i.e
2 a (blue line) + (red line)
2 a = 10
Therefore the sum of the length is 10
Answer:
10
Step-by-step explanation:
Help I don’t know the answer
Answers
Answer:
(D) 6
Step-by-step explanation:
We can substitute the values of a (7) and b (-4) into the equation to find it's result.
[tex]\frac{|2a| -b}{3} \\\\\\\frac{|2\cdot7|-(-4)}{3}\\\\\frac{|14|+4}{3}\\\\\frac{14+4}{3}\\\\\frac{18}{3}\\\\ 6[/tex]
So 6 is the value of this expression when a is 7 and b is -4.
Hope this helped!
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun three times, find the probability it will land on green every time.
Answers
Answer:
The probability it will land on green every time is [tex]\frac{1}{27}[/tex].
Step-by-step explanation:
We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.
The pointer is spun three times.
As we know that the probability of an event is described as;
Probability of an event = [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]
Here, the favorable outcome is that the spinner will land on green every time.
So, the number of green regions = 2
Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions
Now, the probability it will land on green every time is given by;
Probability = [tex]\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}[/tex]
= [tex]\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}[/tex]
= [tex]\frac{1}{27}[/tex]
Hence, the probability it will land on green every time is [tex]\frac{1}{27}[/tex].
Using the concept of probability, the probability of landing on green for all 3 spins is [tex] \frac{1}{27}[/tex]
Total number of portions = (3 + 2 + 1) = 6
Recall :
[tex] P = \frac{required \: outcome }{total \: possible \: outcomes}[/tex]Probability of rolling green on a single spin :
[tex] P(green) = \frac{2}{6} = \frac{1}{3}[/tex]Therefore, the probability of obtaining green on all spins :
[tex] P(3 green) = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}= \frac{1}{27}[/tex]Learn more : https://brainly.com/question/15929089
what is the fewest number of 7's that can be added together to make their sum greater than 4000
Answers
Answer:
572 7s are needed to be added together
Step-by-step explanation:
Basically, what we are asked here is the multiple of 7 which is closest to but above 4,000
Then, from this multiple , the number of 7s which are added together to give it is our answer.
By multiplication; 7 * 572 = 4,004
This is the closest multiple of 7 to 4000 which is also above it.
So the fewest number of 7s which we can add together is 572
Tickets for the front section to a rock concert cost $25 each. The back section tickets sold for $15 each. If 400 tickets were sold for a total revenue of $7,500, how many of each each type of ticket were sold? 1. Front – 145, Back – 255 2. Front – 140, Back – 260 3. Front – 155, Back – 245 4. Front – 150, Back – 250
Answers
Answer:
150 front tickets and 250 back tickets
Step-by-step explanation:
make 2 equations 25x + 15y = 7500 and x + y = 400 and do substitution on a graphing calculator or by your self.
let me know if this helps
What is the area of a circle with a radius of 40 cm?
cm2
(Use 3.14 for Pi.)
Answers
A= 3.14 x 40squared
A= 5024 cm2
Hope this helps ya.
Write 70cents to $1.80 as a fully simplified ratio by first converting to the same units, and then simplifying.
Answers
Answer:
7 : 18
Step-by-step explanation:
1. Convert to the same units (cents)
70 cents = 70 cents
$1.80 = 180 cents
2. Simplify
70 : 180 (divide both by ten)
7 : 18
7 and 18 cannot be simplified any further.
PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answers
Answer:
Step-by-step explanation:
The shaded regions consist of a triangle and a semicircle
Area of shaded regions = Area of Triangle + Area of semicircle
Area of Triangle = (h x b) ÷ 2
Height, h = 10 cm
Base, b = 8 cm
Are of the triangle component = (10 x 8) ÷ 2
= 80 ÷ 2
= 40 cm^2
Area of semicircle = πr^2 ÷ 2
Diameter, D = 8 cm
Radius, r = 8 cm ÷ 2 = 4 cm
Are of the semicircle component = [π(4^2) ÷ 2)
= 16π ÷ 2
= 16π cm^2
Total area of shaded regions
= (40+16π) cm^2
= 8 (5 +2π) cm^2
Answer:
[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]
[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]
Step-by-step explanation:
Area of the figure:
Firstly: Area of semicircle:
[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]
Then Area of Triangle
[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]
Area of Figure = Area of Semicircle + 2(Area of triangle)
=> 8π + 2(20)
=> 8π + 40 cm²
Perimeter of Semicircle:
Firstly, we'll have to find the hypotenuse
[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]
Then, Perimeter of the semi-circle:
=> πr
Where r = 4 cm
=> 4π
Now, the perimeter of the whole figure:
=> 4π + 2(11)
=> 4π + 22 cm
Given triangle ABC is similar to triangle DEF , calculate the value of BC. Picture is below
Answers
Hello! :)
Answer:
[tex]\huge\boxed{BC = 6.4 }[/tex]
Given ΔABC ~ ΔDEF, we can set up a proportion to solve for BC, where:
[tex]\frac{AC}{DF} = \frac{BC}{EF}[/tex]
Let BC = x:
[tex]\frac{8}{15} = \frac{x}{12}[/tex]
Cross multiply:
[tex]8 * 12 = 15 * x[/tex]
[tex]96 = 15x[/tex]
[tex]x = 6.4[/tex]
Therefore, BC = 6.4 units.
Hope this helped you!
Use the quadratic formula to solve x - 5x+3 = 0.
Answers
Answer:
(D) [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]
Assuming that a is our x² term, b is our x term, and c is the constant, we can substitute inside the equation.
[tex]\begin{array}{*{20}c} {\frac{{ - (-5) \pm \sqrt {5^2 - 4\cdot1\cdot3} }}{{2\cdot1}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 12} }}{{2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]
So the answer is D, [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex].
Hope this helped!
Which answer choice identifies the relevant information in the problem? Sarah left the house at 12:15 p.M. To go to the store. She spent $42.20 on 2 books for her children and she spent $5.67 on a toys for her dog, Rover. Sarah arrived home at 1:00 p.M. How much did Sarah spend on each book? A. She spent $42.20 on 2 books. B. She spent $42.20 and $5.67. C. She left the house at 12:15 p.M. And arrived home at 1:00 p.M. D. You need to know how many children she has to solve the problem.
Answers
Answer:
Answer choices A, B and C identifies the relevant information in the problem
Step-by-step explanation:
Sarah left the house at 12:15 pm
She spent $42.20 on two books for her children
She spent $5.67 on a toy for her dog
Sarah arrived home at 1:00 pm
How much did Sarah spent on each book?
If she spent $42.20 on two books for her children,
Then, it means she has two children and the book cost $21.10 each
Answer choices A, B and C identifies the relevant information in the problem
Answer:
its A all the other one dont make sence sorry if im wrong but i got it right on my test
Step-by-step explanation:
i back at you with another question..!
Answers
Answer:
Identity Property of Multiplication
Step-by-step explanation:
The Identity Property of Multiplication states that any number multiplied by 1 will equal the same number.
Since we have one item that costs $14.50, we know that the total cost will be $14.50 since we are multiplying $14.50 by 1.
Hope this helped!
Answer:
Identity property of multiplication.
Step-by-step explanation:
When we multiply any number by 1, we will get the same number.
5 *1 = 5
-8 * 1 = -8
The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens' answers. If there are 140,000 citizens in the community, how many chose Fish or Cats?
Answers
Incomplete Question:
The content of the pie chart is as follows:
Hamsters = 9% ; Snakes = 10% ; Cats = 23%
Birds = 21% ; Dogs = 26% ; Fish = 11%
Answer:
The number of citizens who chose cat or fish is 47,600
Step-by-step explanation:
Given
Number of citizens = 140,000
Required
Determine the number of those that chose fish or cats
First, we need to calculate the percentage of those whose pets are either cats or fish
[tex]Percentage = Cat + Fish[/tex]
Substitute 23% for cat and 11% for fish
[tex]Percentage = 23\% + 11\%[/tex]
[tex]Percentage = 34\%[/tex]
Next, is to multiply the calculated percentage by the number of citizens
[tex]Cat\ or\ Fish = Percentage * Number\ of\ Citizens[/tex]
[tex]Cat\ or\ Fish = 34\% * 140000[/tex]
[tex]Cat\ or\ fish = 47600[/tex]
Hence, the number of citizens who chose cat or fish is 47,600
the number of citizens who chose cat or fish is 47,600
The calculation is as follows;= Number of citizens × total percentage
[tex]= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%[/tex]
= 47,600
Learn more: https://brainly.com/question/17429689?referrer=searchResults
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.
Answers
Answer:
the perimeter of ΔABC is 32in
Step-by-step explanation:
We know that intersection point of the angle bisectors refers to the incenter of the triangle,.
Given tmthe radius of 4inch for the centre of the incircle.
One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value
In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as
d = 1/2(a +b -c)
And a, b, c represent lengths of the sides
We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the
distance from the right-angle vertex C to the incircle touchpoints .
We can determine the sum a+b as
4 = (1/2)(a+b -12) .
4/(1/2)= (a+b -12)
8= (a+b -12)
20=a+b
Which is the addition of length of the two legs of the triangle.
We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.
perimeter = 20 in + 12 in = 32 in
Therefore, the perimeter of ΔABC is 32in
2. Describe the means-extremes property.
Answers
Step-by-step explanation:
For example:
Ex: 2:3 :: 6:9
In this question, the means are 3 and 6.
The extremes are 2 and 9.
We use this method to find whether the two ratios are equal or not.
We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.
If these two ratios are proportional, their "means" = "extremes"
=> Means = Extremes
=> 3 x 6 = 2 x 9
=> 18 = 18
So, these two ratios are proportional.
Hope this helps you.
Find the odds in favor of rolling two even numbers when rolling a pair of dice.
Answers
Answer:
1/4 or 25%
Step-by-step explanation:
Each dice has six sides, meaning the numbers that are even are: 2,4, and 6, three even numbers per dice. Meaning the chance of rolling ONE dice is 50%. So if you were to get two even numbers on TWO dice, it would be 25% hope this helps.
The odds in favor of rolling two even numbers when rolling a pair of dice would be 25% or 1/4.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Each dice has six sides, means the numbers that are even are:
2,4, and 6, three even numbers per dice.
The total number of outcomes is 6 x 6 or 36.
Meaning the chance of rolling ONE dice is 50%.
The odds in favor of rolling two even numbers when rolling a pair of dice would be 25%.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
I NEED THIS ANSWER IN THE NEXT 10 MIN PLS. WILL GIVE BRAINLEST!!! Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25 = 1.
Answers
Answer:
center=0,0 vertices=(0,5)(0,-5) foci=(0,4)(0,-4)
Step-by-step explanation:
used calculator
A car leaves Orlando, FL and travels east toward West Palm Beach. The
equation D = 280-59t can be used to represent the distance, D, from
Orlando after t hours. In this equation, the 59 represents
A.the car's distance from Orlando
B.the speed of the car
C.the distance between Orlando and West Palm Beach D.the number of hours driving
Answers
Answer:
Step-by-step explanation:
A) 280 Km
B) When D = 0: speed, S = 280/59 = 4,9 Km/hour
C) 280 Km
D) 59 hours
someone help me really quick
Answers
Answer:
u^18
Step-by-step explanation:
(u^3)^6
=
u^(3*6)
=
u^18
Hope this helps!
what amount is 10% more than RS. 90?
Answers
Answer:
99
Step-by-step explanation:
x = 90 x 10/100 + 90
=> x = 900/100 + 90
=> x = 9 + 90
=> x = 99
The area of a trapezium is 105cm² and its height is 7 cm. If one of the parallel sides is longer than the other by 6cm, find the lengths of two parallel sides.
Answers
Answer:
Step-by-step explanation:
