Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
What is the length of arc ZV?
π inches
Answer:
26
Step-by-step explanation:
Answer:
Its 26
Step-by-step explanation:
Correct on edg. 2021
There are 3 red marbles for every 8 blue marbles in a huge jar of marbles. If there
are 27 total red marbles in the jar, how many blue marbles would you expect in the
jar?
Answer:
54
Step-by-step explanation:
27 divided by 3 =9 times8 = 54
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Answer:
C. y=2x-48
Step-by-step explanation:
A. y=48x−2
B. y=48x+2
C. y=2x−48
D. y=2x+48
Profit per hotdog=$2
Quantity=x
Cost of hotdog, buns and mustard=$48
Find the equation profit earned by the hotdog stand for x hot dog sold
Total Profit(y)=(units profits*quantity)-cost
=$2*x-$48
y=2x-48
Answer:
C. y=2x−48
Step-by-step explanation:
did it on edge 2020
al triplicar la temperatura registrada en un dia caluroso se obtiene 69.C cual era la temperatura inicial
Answer:
8.30662386292= mas o menos 8
Step-by-step explanation:
Para este pregunta, se necesita encontrar el raiz cuadrada de 69, porque 69 esta triplicada, entonces la temperatura inicial era mas o menos 8
PLZ HELP!! I WILL NAME BRAINLIEST!! and possibly friend! thxs so much
Answer:
1.) f(-2)=g(4)
2.) f(0) = g(-2)
3.) f(-4)=g(-2) and f(4)=g(4)
4.) -9
Step-by-step explanation:
how to do this question plz
Answer:
Step-by-step explanation:
surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²
surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²
surface area of top=10×5=50 cm²
surface area of bottom=10×3=30 cm²
Total surface area=60+200+50+30=340 cm²
Answer:
Step-by-step explanation:
to find the surface area , you need to find the area of each side(face)
top: 5*10=50
the bottom of the shape: 3*10=30
the front face:10*8=80
the sides are trapezoid shapes with:different dimensions:
side :8,12 and eight of 3 ( the shape has 3 faces the same)
area=((12+8)/2)*3= 30 (30*3 faces or sides)
add the numbers: 50+30+80+(30*3)=250 cm^2
I hope it is right and good luck
For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute, how long did it take the population to double
Answer:
[tex]P(t)=256*e^{0.068185t}[/tex]
10 minutes for the population to double.
Step-by-step explanation:
The general formula for the population equation, P(t), is:
[tex]P(t)=A*e^{nt}[/tex]
We are given that for t =5 minutes and t = 2 minutes:
[tex]P(5)=360=A*e^{5n}\\P(20)=1,000=A*e^{20n}\\\\[/tex]
Solving for A and n:
[tex]ln(360)=ln(A)+5n\\ln(1,000)=ln(A)+20n\\ln(1,000)-4ln(360)=ln(A)-4ln(A)+20n-20n\\ln(A)=5.5455536\\A=256\\n=\frac{ln(360)-ln(256)}{5}\\n=0.068185[/tex]
The exponential equation that represents this situation is:
[tex]P(t)=256*e^{0.068185t}[/tex]
The population will double when P(t) = 512 bacteria:
[tex]512=256*e^{0.068185t}\\ln(2)=0.068185t\\t=10.17\ minutes[/tex]
To the nearest minute, it takes roughly 10 minutes for the population to double.
are these fractions equivalent 1/11 2/22
Answer:
yes
Step-by-step explanation
Answer:
Yes, they would be equivalent.
If you simplify
2/22 ÷2= 1/11
Therefore, this shows that they are equivalent.
Hope this helps! :)
how to do this question plz
Answer:
y=6
Step-by-step explanation:
divide the total area by 5 to get the area of the square
180/5= 36 cm²
the area of a square is y²
so y²=36⇒ y= 6
The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
Answer:
L/2
Step-by-step explanation:
If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.
Answer:L/2
Step-by-step explanation: The length is represented as L. So half the lenght is 1/2L which can also be represented as L/2. So the width is represented as L/2
make x the subject of P=K√X.
Answer:
( P^2) / K^2 = x
Step-by-step explanation:
P = K * sqrt ( x)
Divide each side by K
P/K = sqrt(x)
Square each side
( P^2) / K^2 = x
Answer:
The answer is
[tex]X = ({ \frac{K}{P} })^{2} [/tex]
[tex]P = \frac{K}{ \sqrt{x} } [/tex]
Cross multiply
that's
P√x = K
Divide both sides by P
That's
√x = K/P
Square both sides to make x stand alone
That's
(√X)² = ( K/P)²
We have the final answer as
[tex]X = ({ \frac{K}{P} })^{2} [/tex]
Hope this helps you
Abigal found that she can drive 140 miles in 3 hours, including rest stops, on intersate highway. How long would it take her to drive the interstates from cleveland, ohio, to washington dc which is 350 miles?
Answer:
7.5 hours
Step-by-step explanation:
distance = rate * time (d=rt)
First we find her average rate, or speed:
140 miles = 3 hours * rr = [tex]\frac{140 miles}{3 hours}[/tex] = 46.6666 miles/hourNow we take that rate and use our second distance to find the time:
d = rt
t = d/r = 350 miles / 46.6666 miles/hour = 7.5 hours
solution to the inequality -13x>-39
Answer:
x<3
Step-by-step explanation:
-13x>-39
x<3
Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answer:
3
Step-by-step explanation:
The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.
The opposite number of the integer number negative 3 will be 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.
The number is given below.
⇒ - 3
The opposite of the number negative 3 will be given as,
⇒ - (-3)
⇒ 3
The opposite number of the integer number negative 3 will be 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Can someone please help
Answer:
a
Step-by-step explanation:
Well in the first you buy 5P+2B+3L
but then you buy 3P +1B+2L
and you add then up
Sam is two times Sydey's
their combined
age is 36. What is Sydney's age.
Answer:
12 years old
Step-by-step explanation:
Let's call Sydney's age x and Sam's age 2x. We can write:
x + 2x = 36
3x = 36
x = 12 so the answer is 12 years old.
The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
D 0.6
Step-by-step explanation:
plato/edmentum
Answer: 0.6
Step-by-step explanation:
to solve the system of equations below, Zach isolated x^2 in the first equation and then substituted it into the second equation. What was the resulting equation. (x^2 y^2=25; (x^2/15-y^2/9=1 A.x^2/16-y^2-25/9=1 B.x^2/16-25-y^2/9=1 C.25-y^2/16-y^2/9=1 D.y^2-25/16-y^2/9=1
Answer:
25-y²/15 - y²/9 = 1Step-by-step explanation:
Given the equations x^2 + y^2=25 ...1 and x^2/15-y^2/9=1,.. 2 to solve the systam of equation we will make x^2 the subject of the formula from the first equation and substitute it into the second equation as shown;
Fom 1; x² = 25-y²... 3
Substituting equation 3 into 2 to get the resulting equation will give;
x²/15-y²/9=1
25-y²/15 - y²/9 = 1
The final expression gives the required equation.
the value of x is: 52 degrees. 128 degrees. 48 degrees. None of the choices are correct.
Answer:
52°
Step-by-step explanation:
Since the side 52° is 10 and is congruent to the other side x° (also has 10), we know that the triangle is isosceles and that the 2 angles are congruent (by definition of an isosceles triangle). We could also use Law of Sines and Law of Cosines to prove this.
Answer:
A. 52 degrees
Step-by-step explanation:
Two sides are equal, so the triangle is an isosceles triangle.
Both base angles are equal.
x = 52
The test statistic of z equals = 2.94 2.94 is obtained when testing the claim that p not equals ≠ 0.877 0.877. A. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. B. Find the P-value. C. Using a significance level of alpha α equals = 0.01 0.01, should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0?
Answer:
Step-by-step explanation:
The claim being tested is that p not equals ≠ 0.877
A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.
B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002
We would double this area to include the area in the left tail of z = - 2.94 Thus
p = 0.002 × 2 = 0.004
C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0
If u do 3 I’ll mark Brainlynest u don’t have to do 3 it depends but also 14 points
Answer:
Step-by-step explanation:
A(-5,-2),B(-2,-2), C(-5,2)
find distance first:d=√(x2-x1)^2+(y^2-y1^2)
AB: 3
BC: 5
AC: 4
perimeter of triangle=3+5+4=12
compliment angle=90
90+34=124
5x+17+x+19=180
x=24
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
Answer:
k = -11
Step-by-step explanation:
Let [tex]p(x) = x^3-6x^2+kx+10[/tex]
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]
By remainder theorem, Remainder will be zero
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
i am bad in fraction math. can you please help me. with proper explanation. Thank you!
Answer:
1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9
Step-by-step explanation:
Answer:
The answer is 5/9.
Step-by-step explanation:
First, you have to make all the denorminator of the fractions the same by multultiplying :
[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
Next, you have to make it into 1 fraction and simplify :
[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9 - 8 + 4}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
PLS HELP 44 pts! Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool: (image attached below)
Line of best fit:_________________________________________________
approximate Slope: ______________________________________
Y intercept of the line of best fit.:________________________
Steps taken to solve or find the slope and intercept: ________________
Answer:
Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.
My points I will pick are (1,1) and (5,2)
2-1/5-1=3/4
therefore approximate slope is 3/4
Like I said I am not positive but I am just trying to help out in some way.
If something is incorrect please inform me. If this helps also please inform me.
I need help choosing which two equations tool el to find the individual massses of A and B
Answer:
Step-by-step explanation:
The third one :
a is twice the mass of b so a=2b b and 2a combined equal 45Find the value of x if 212x5 is a multiple of 3 and 11
Answer:
8
Step-by-step explanation:
when the valueof x is 8 then it is multiple of 3 and 11
#21285/3=7095
#21285/11=1935
I Hope this will be helpful for you.
If u do 3 I’ll mark Brainlynest and give u 29 points
Answer:
Step-by-step explanation:
To calculate the perimeter we must add the lenghts of the sides :
CD=13 USING THE PYTHAGORIAN THEOREM ED=5EF=3BC=14BK=4KH=4GF=9HG≈ 11 USING THE PYTHAGORIAN THEOREM WE GET 11.2 WICH 11 APPROMATIVELY by ADDIND THESE VALUES WE GET : the perimeter = 63 To calculate the area we must divide the shape into 4 parts : 3 rectangles and 1 triangle A1=56A2=30A3=80A4=27THE TOTAL AREA = 193WILL MARK BRAINLIEST!!! PLZ HELPPPP Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Which statement best compares the mean distances for the two groups? It is equal for Group A and Group B. It is greater for Group B than Group A. Its value for Group A is double its value for Group B. Its value for Group B is double its value for Group A.
Answer:
B
Step-by-step explanation:
mean = average. to find it, add all terms, and then divide by the number of terms.
find the mean of group a:
(1+1.5+3+3.2+2.8+1.5+1.8+2.5+2.2)/9 = 2.16
find the mean of group b:
(2+2.5+3.2+3+1.8+2.4+3+1.5+1/8)/9 = 2.1694
group b is larger.
answer = b
Half full of water by volume. How deep is the water in the cone if the height is 16 cm and base is 12 cm
Answer:
8∛4 ≈ 12.70 . . . . cm deep
Step-by-step explanation:
The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...
∛(1/2)
times the height of the full cone.
The water will be ...
(16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep
I need help for this question I’m stuck
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.