[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400[/tex]
Evaluate 3x^2+x−2 when x=−2
Answer:
8
Step-by-step explanation:
3(-2)^2+(-2)−2=8
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on the space on which the wheel stops. Let X be the value of a random spin. The distribution of X is given in the table. What is the mean?
Answer:The median of the distribution is (first option)
1
Step-by-step explanation:
The values on the given table are presented as follows;
Value of spin: 0,1,2,5,10
Probability: 0.4,0.2,0.2,0.1,0.1
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The solution is : The median of the distribution is (first option) 1
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
The values on the given table are presented as follows;
Value of spin: 0,1,2,5,10
Probability: 0.4,0.2,0.2,0.1,0.1
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1,
the median of the probability distribution is 1.
Hence, The solution is : The median of the distribution is (first option) 1
To learn more on median click:
brainly.com/question/20425811
#SPJ7
What is the true solution to the equation below? 2 l n e superscript l n 2 x baseline minus l n e superscript l n 10 x baseline = l n 30
The true solution x for the logarithmic equation which is shown below will be 75.
[tex]2 \ln e^{\ln 2x} - \ln e ^{\ln 10} = \ln 30[/tex]
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic equation is given below.
[tex]2 \ln e^{\ln 2x} - \ln e ^{\ln 10} = \ln 30[/tex]
We know that the properties of the logarithm
[tex]e ^{\ln x} = x\\\\a \ln b = \ln b^a\\\\\ln a - \ln b = \ln (\dfrac{a}{b})[/tex]
Then we have
[tex]\begin{aligned} 2 \ln 2x - \ln 10x &= \ln 30\\\\\ln (2x)^2 - \ln 10x &= \ln 30\\\\\ln 4x^2 - \ln 10x &= \ln 30\\\\\ln \dfrac{4x^2 }{10x} &= \ln 30\\\\\ln \dfrac{2x}{5} &= \ln 30 \end{aligned}[/tex]
Taking anti-log, then we have
[tex]\rm \dfrac{2x}{5} = 30\\\\2x \ = 150\\\\x \ \ = 75[/tex]
More about the logarithm link is given below.
https://brainly.com/question/7302008
Answer:
x = 75 or b
Step-by-step explanation:
Trust me
help me out pls
What does obliviousness mean?
• 1.
being interested in something
• 2. being unaware of something
( 3. being impressed by something
hm
• 4. being confused by something
Answer:
Obliviousness: Being unaware of something.
There are 6 girls and 4 boys in the debate club at Columbus High School. The principal randomly selects one student from the debate club to represent the school in a competition. What is the probability that the selected student is a girl?
Answer:
60% chance a girl is picked
Step-by-step explanation:
There is 10 students in total. 6 out of 10 are girls. We can represent this in a fraction 6/10. Now we convert the fraction into a percentage 60%.
first to answer correctly will be marked brainliest
Answer:
D & B
Step-by-step explanation:
[tex]f(x)=(x-2)^{2} -3[/tex]
The vertex: (2, -3)
[tex]f(2)=(2-2)^{2} -3=0-3=-3[/tex]
Hope this helps
Answer:
1) D. f(x) = (x - 2)² - 3
2) B. (2, -3)
Step-by-step explanation:
hope this helps!
To find the missed spaces
Step-by-step explanation:
all coefficients are integers, the rational zeros theorem can be applied.
that means each rational solution ("root") x = p/q, written in most simplified terms so that p and q are relatively prime, can be found for the polynomial
an×x^n + an-1×x^(n-1) + ... + a1×x + a0
p is an ± integer factor of the constant term a0, and
q is an ± integer factor of the leading coefficient an.
in our case here
an = a4 = 1
a0 = 8
the only factor for 1 is ±1.
the factors for 8 are
±1, ±2, ±4, ±8
so, we get
1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1, 1/-1, 2/-1, 4/-1, 8/-1, -1/-1, -2/-1, -4/-1, -8/-1
that leaves us with the different values of
1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1
sorted from smallest to largest
-8/1, -4/1, -2/1, -1/1, 1/1, 2/1, 4/1, 8/1
or simply
-8, -4, -2, -1, 1, 2, 4, 8
What's the answer? I need it asap.
"You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack. Write a paragraph with 4-5 sentences, following the RACE format, to explain how you calculate the answer."
h-hey baddie! UwU! The answer is 24. Hope this helps onichan!-
the volume of the right triangular prism shown below is 178.75 cubic feet. write and solve equation to find the value of x
Answer:
i think
Step-by-step explanation:
sorry i dont know the answer im just a children's
Janis was offered two different jobs when she graduated from college. she made the graph and table to show how much she would earn over time at each job. earnings over time for job 1 earnings over time for job 2 a graph entitled earnings over time for job 1 has year on the x-axis and earnings in dollars on the y-axis. a line with positive slope goes through (0, 40,000) and (10, 60,000). y = 2,000 x 40,000. a 2-column table entitled earnings over time for job 2 has 7 rows. the first column is labeled year with entries 10, 12, 14, 16, 18, 20, 22. the second column is labeled earnings in dollars with entries 55,000, 60,000, 65,000, 70,000, 75,000, 80,000, 85,000. when will janis’s salary be the same for job 1 and job 2, and how much will she be earning at that point? the salaries will be the same in year 20, and she will be earning $80,000. the salaries will be the same in year 16, and she will be earning $70,000. the salaries will be the same in year 12, and she will be earning $60,000. the salaries will be the same in year 10, and she will be earning $55,000.
The salaries will be the same in year 20 and she will be earning $80,000. So, the first option is correct.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
We will first create an equation to represent the data.
To find the slope we use the formula
m = (y₂-y₁)/(x₂-x₁)
= (60,000-55,000) / (12-10)
= 5,000/2 = 2500
Writing this in point-slope form, we have
y-y₁ = m(x-x₁)
y-55,000 = 2500(x-10)
Converting to slope-intercept form,
y-55,000 = 2500 × x - 2500 × 10
y - 55,000 = 2500x - 25,000
y = 2500x + 30,000
Now we set this equal to the equation from the graph:
2500x + 30,000 = 2000x + 40,000
Subtract 2000x from both sides:
2500x + 30,000 - 2000x = 2000x + 40,000 - 2000x
500x + 30,000 = 40,000
500x = 40,000 - 30,000
500x = 10,000
x = 10,000/500
x = 20
The salaries will be the same in year 20.
y= 2000(20) + 40,000
y= 40,000 + 40,000
= 80,000
The salary in year 20 will be $80,000.
Learn more about a point-slope form;
https://brainly.com/question/12743204
Jill has a coupon for 15% off at her favorite restaurant, Downtown Noodles. You can use a function to estimate how much Jill will pay if the bill is x dollars
Answer:
Step-by-step explanation:
Let function p(x) be the price that is reduced by 15% if the bill is x dollars.
Since the price is not payed in full 100% is reduced by 15% we only pay
100 - 15 = 85 % of the original price.
p(x) = x· (100% - 15 %) = x· 85% = 0.85 x
The function used to calculate any bill that is reduced by 15% is:
p(x) = 0.85x
x - is the bill before being reduced by the coupon
help pls
y = -x + 4
y = x - 2
Answer:
Option c
(3,1)
Step-by-step explanation:
Solving system of equations:
y = -x + 4 ----------(I)
y = x - 2 -----------(II)
Add equation (I) & (II). So, x will be eliminated and we can find the value of y.
(I) y = -x + 4
(II) y = x - 2 {Now add}
2y = 2
Divide both sides by 2
y = 2/2
y =1
Substitute y = 1 in any of the equations. Here, we are substituting in equation (II)
1 = x - 2
1 + 2 = x
x = 3
Find the Unit Price for each bottle of conditioner. Which bottle of hair conditioner is the best buy?
8 oz for $1.49
12 oz for $2.29
15 oz for $2.75
20 oz for $3.89
Answer:
D.
Step-by-step explanation:
We know that to find unit price, we divide the unit in the numerator by the quantity in the denominator.
For the first option, we must put $1.49 as the numerator and 8 as the denominator. It will then look like this:
[tex]\frac{1.49 / 8 }{8 / 8\\}[/tex] Then we must divide 1.49 by 8. This will get us $0.18625.For our second option, we must put $2.29 as the numerator, and 12 as the denominator. It will look like this:
[tex]\frac{2.29 / 12 }{12 / 12\\}[/tex] Then we must divide 2.29 by 12. This will get us $0.19083 (rounded)For our third option, we must put $2.75 as the numerator, and 15 as the denominator. It will look like this:
[tex]\frac{2.75 / 15 }{15 / 15}[/tex]Then we must divide 2.75 by 15. This will get us $[tex]0.18333[/tex] (rounded)For our final option, we must put $3.89 as the numerator, and 20 as the denominator. It will look like this:
[tex]\frac{3.89 / 20 }{3.89 / 20}[/tex]Then we must divide 3.89 by 20. This will get us $0.1945 (rounded)Therefore, the last option is the best buy because $0.18625 > $0.18333.
The consecutive angles of a parallelogram are________?
Answer:
supplementary
Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
Answer:
Supplementary
Step-by-step explanation:
The consecutive angles of a parallelogram are supplementary.
Two angles that add up to 180° are called supplementary angles.
This can be proven by creating a parallelogram and extending all segments to create two parallel lines transversing another set of two parallel lines.
I drew a diagram of this shape and considering that all the opposite lines are parallel, the central shape is a parallelogram.
Looking at the diagram attached, we know that the angle of a straight line is 180° (represented by the yellow of Angle 1 and the pink angle next to it) All angles of the same color are congruent by angle theorems consisting of corresponding and vertical angles.
If pink is x, and yellow is y, then we can say that x + y = 180°
So, therefore we can say that the consecutive angles of the parallelogram (Angle 1 and Angle 2) sum up to 180°, because they are made up of one pink angle and one yellow angle ( x and y )
Marcus has three random samples of the same size from a population of 700 people. In one sample, 53% of people have a library card. In another, 51% of people have a library card. In the third, 43% have a library card. Based on the three samples, how many people with a library card should he expect are in the population?
a.301
b.357
c343
d.371
pls answer quick
Answer:
343
Step-by-step explanation:
Finding? How many people with a library card should he expect in the population?
Important? Population = 700. Sample 1= 53%. Sample 2 = 51%. Sample 3 = 43%.
How? Average the 3 samples percentages together. The percent sign tells us what the sample size is (% = out of 100). Set up the proportions for library card to sample size and then library card to population. Cross multiply.
How many hours is 75% of 3 days?
Answer:18
Step-by-step explanation: eight equals 24 hours so 75 hours equals 18
Answer:
75% of 3 days is 54 hours. 3 days is 72 hours, 72=100%, x = 75%, 72/x = 100%/75% x/72 = 75/100, x = 54.
Step-by-step explanation:
If you could put wings on any species of animal, what animal would you choose?
Answer:
Humans
Explanation:
So I can have wings :)
Answer:
If I could put wings on any species of animal, I would choose a Unicorn because then the Unicorn can fly and look at all the enviroment.
Step-by-step explanation:
If the side of a square is 3/4 feet, what is the area of the square?
Answer:
The area is 3 feet
Step-by-step explanation:
The answer is 3 ft because if you do ¾×4 because of the four sides you will get 12/4 and that equals 3
Find the missing angle.
26°
Answer:
25
Step-by-step explanation:
if you see 26-24=2
=>27-x=2
=>-x=2-27
=>-x=-25
=>x=25
divide the sum of 65 12 and 8 3 by their difference
1. Given that the third and sixth terms of an A.P. are 13 and 22 respectively, find the sum
of the first n terms in terms of n.
Answer:
1
+t
3
+t
5
=39
t
2
+t
4
+t
6
=51
To find:
t
10
=?
Solution:
Let a be the first term and d be the common difference.
t
1
+t
3
+t
5
=39
or, a+a+2d+a+4d=39
or, 3a+6d=39
or, a+2d=13 .............(i)
t
2
+t
4
+t
6
=51
or, a+d+a+3d+a+5d=51
or, 3a+9d=51
or, a+3d=17
Subtracting eqn. from eqn. we get,
d=4
Putting value d=4 in eqn.(i) we get,
a+2×4=13
or, a=13−8
or, a=5
Now, t
10
=a+9d
t
10
=5+9×4
t
10
=5+36
t
10
=41
…. I need help again oof
Answer:
m∠WVZ=90°
m∠XVW=90°
Step-by-step explanation:
m∠WVY=m∠WVZ+m∠ZVY
180°=9x-15°+90°
180°=9x+75°
180-75=9x
105°=9x
⇒x = [tex]\frac{35}{3}[/tex]
So. m∠WVZ is
[tex]=9(\frac{35}{3})-15=3\times35-15\\=105-15=90[/tex]
m∠WVZ=90°
and same will be the m∠XVW
m∠XVZ=m∠XVW+m∠WVZ
180°=m∠XVW+90°
m∠XVW=180°-90°
m∠XVW=90°
alexander bought 5 movies for a total of $36. At this rate, what is the cost of 10 movies?
Answer:
72
Step-by-step explanation:
If 5 is 36 muilplte by 2 to get ten and 72
Find the volume of the following cube:
1.) 6 cm
2.) 3 in
3.) 7 m
Find the volume of the following rectangle:
1.)
L = 10 in
W= 4 in
H = 2 in
2.)
L = 20 cm
W= 10 cm
H = 5 cm
one number is 3 times another number. If 15 is added to both the numbers, then one of the new numbers becomes twice that of the other new number. Find the numbers
Answer:
15 and 45
Step-by-step explanation:
Let 1st number be x.
Then, 2nd number = 3x.
According to que,
3x+15=2(x+15)
3x+15=2x+30
x=15
Therefore, the two numbers are 15 and 45.
A similar scale model of a building is 12 in tall and 9 in wide. If the actual building is 100 ft tall, how wide is the building?
97.0 ft
133.3 ft
75.0 ft
50.0 ft
700 divided by 67
pls help me ////
Answer:
10.4476119402
Step-by-step explanation:
If you want a reasonable answer it would be 10.44 or 10.4!
63.1 X 2.2 step by step
Answer:
138.82
Step-by-step explanation:
Line up the numbers on the right - do not line the decimal points.
Start on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
then you add the products.
Answer:
138.82
Step-by-step explanation:
Multiply the numbers using the normal multiplication process. Now, count the number of digits after the decimal point in both the numbers. Add these 2 values & put the decimal point in the product by counting the digits from the left side of the place value. The answer is 138.82.
=》 Check the attachment for the steps.
_____________
Hope it helps ⚜
help me pls desperate please plspls
Area of semi circle = π r²/2
= π 20 × 20 / 2
= 200 π
= 628 cm² (approx)
Answer:
To the nearest whole number : 628
Step-by-step explanation:
The formula for the area of a circle is :
To work out the area you would first need to work out the radius. You can do this by dividing the diameter of 40 cm by 2, this gives you 20 cm. This is because the radius is half of the diameter.
Now that we have worked out the radius, the next step would be to work out the area. You can do this by multiplying pi by the radius of 20 squared, this gives you 1256.64.
The final step is to work out the area of this semi-circle. You can do this by dividing the area of 1256.64 by 2, this gives you 628.32 . This is because a semi-circle is half of a circle.
1) Divide 40 by 2.
2) Multiply pi by 20 squared.
3) Divide 1256.64 by 2.
PLEASE ANSWER I WiLL GIVE BRAINLIEST
Step-by-step explanation:
The way to find sidewalk area :")
Answer:
Exact - 40n m²
Approximate 125.6m²
Step-by-step explanation:
Exact area of the sidewalk - n * (11 m)² - n * (9 m)²
- n * 121 m²- n * 81 m²
Exact area of the sidewalk - 40n m²
To find the approximate area of side walk let us substitute pi equals 3.14.
40*3.14 m²
Approximate area of the side walk - 125.6 m²
Therefore the exact area is 40n m² , the approximate area is 125.6 m²