Answer:
£3263.98 (nearest penny)
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = £2900r = 3% = 0.03n = 1t = 4Substituting given values into the formula and solving for A:
[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]
[tex]\implies \sf A=2900(1.03)^{4}[/tex]
[tex]\implies \sf A=3263.975549[/tex]
Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).
Answer:
$3264
Explanation:
[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]
"P" is principal, "r" is rate of interest, "n" is time (years)
Here given:
principal: £2900rate of interest: 3%time: 4 yearsAfter 4 years amount:
[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]
[tex]\rightarrow \sf 2900(1.03)^4[/tex]
[tex]\rightarrow \sf 3263.9755[/tex]
[tex]\rightarrow \sf 3264[/tex] (rounded to nearest whole number)
Screenshot of the question attatched. please help me
There are many rules that apply to operations involving exponents. In this question, we'll need the following:
The division rule⇒ [tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]Solving the QuestionWe're given:
[tex]z^{21}\div z^7=z^k[/tex] (solve for k.)
⇒ Rewrite as a fraction:
[tex]\dfrac{z^{21}}{z^7}=z^k[/tex]
⇒ Use the division rule:
[tex]z^{21-7}=z^k\\z^{14}=z^k\\14=k[/tex]
Therefore, the value of k is 14.
Answerk = 14
You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?
A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.
is this right? pls be fast
Answer:
first 2 I'm not sure about. for the first one I think its 0.5 if that's an option
24. Why are alkylating agents not used as antiseptics?
Answer:
Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.
Step-by-step explanation:
A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day were chocolate. How many total cupcakes did the bakery sell that day?
ASSAP
Answer:
hello!!!
300 cupcakes
please read the explanation.. it always helps... trust me...
Step-by-step explanation:
alrighty here it goes...
okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....
okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.
we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.
so now we need to find out 92% of what number gets us 276.
the percentage formula (in this problem) should be as follows:
92/100 x (total amount of cupcakes) = 276
to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)
i hope this helps!!!
Answer:
300
Step-by-step explanation:
50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answer: 2
Step-by-step explanation:
See attached image
Find the measure of angle k
Answer:
30
Step-by-step explanation:
The Median of the data set is 18.What number is missing?
12, 17,_, 21, 13,25,
Answer:
= 15
Step-by-step explanation:
21 + 15 = 36
36/2 = 18
Therefore, 15 is the missing number :33
Answer:
15.
Step-by-step explanation:
There are 6 ( even number) of values in the data so:-
the median is the mean of the 2 middle numbers.
Therefore, we have:
(x + 21)/2 = 18 where x is the missing number.
x + 21 = 2*18
x = 36 - 21 = 15.
which of the following would be considered a statistical question
1. who was the highest paid athlete in 2020?
2. how much does a gallon of gasoline cost?
3. how many people voted for president in 2016?
4. what are the different types of maple trees?
7) m² - 12m +26=0 find the vertex
Answer:
(14, -2)
I could totally be wrong though, I haven't done this type of math in years.
A straight line passes through the point (-1,2) and (2,8). Find the equation of the
straight line.
Answer:
Looking at the question, we are given two points and we need to determine the line that passes through both of these points. The first step to solving this problem is to find the slope.
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]slope=\frac{8-2}{2-(-1)}[/tex]
[tex]slope=\frac{6}{2+1}[/tex]
[tex]slope=\frac{6}{3}[/tex]
[tex]slope=2[/tex]
Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-2)=2(x-(-1))[/tex]
[tex]y-2=2(x+1)[/tex]
[tex]y-2=2x + 2[/tex]
[tex]y- 2 + 2=2x + 2 + 2[/tex]
[tex]y=2x + 4[/tex]
Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].
Hope this helps! Let me know if you have any questions
The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets
Answer:
The two formats used in an observation checklist are:
A. Video recording and audio recordingB. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets
#CarryOnLearning
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)
Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]
Hence, the lower bound of the interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]
The lower limit of the 95% confidence interval is of $99,002.
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1. Why is it important to separate experimental groups by a random process?
2. Why is it important to select samples from a population using random selection?
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
What is randomization?Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.
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(x - 2)² + (y +13)2 = 150
Center:
Radius:
Answer:
See below
Step-by-step explanation:
Standard form of h,k centered circle
(x-h)^2 + (y-k)^2 = r^2
for this circle center, h,k = 2,-13 radius = sqrt (150)= 5 sqrt 6
Answer:
Center: (2,-13)
Radius: 12.14744871
Step-by-step explanation:
Find the value of y, rounded to the nearest tenth
Answer:
3.9 to nearest tenth.
Step-by-step explanation:
Using the theorem of intersecting chords:
9 * y = 5 * 7
y = 35/9
= 3.888...
Which set of numbers best describes the possible values of x in the equation below?
[x-1)=Lx]
all integer values of x
O all real number values of x
O only negative values of x
O only noninteger values of x
Answer:
Only noninteger values of x
Step-by-step explanation:
did this already
Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]
What is Number system?A number system is defined as a system of writing to express numbers.
When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.
This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.
For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.
So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.
Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.
Hence, the only values of x that satisfy the equation are non-integer values of x.
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Find the distance between the points (3, –8) and (0, –9).
Answer:
B. 3.16
Step-by-step explanation:
1) formula of the required distance is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;[/tex]
2) if A(3;-8) and B(0;-9), then according to the formula above:
[tex]d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.[/tex]
d≈3.16
7th grade end of year Escape! Please HELPPPPPP! i will give 100 points.
Count the marbles in the jar:
9 spotted ones
6 purple
10 green
25 total
a) 10/25 = 2/5
B) 19/25
C) 9/25 x 9/25 = 81/625
D) 2/5 x 6/25 = 12/125
E) 6/25 x 19/25 = 114/625
F) 6/25 x 5/24 = 1/20
G) 19/25 x 18/24 = 57/100
H) 6/25 x 14/24 = 7/50
What is the volume of the right triangular prism in cubic meters?
Answer:
915.78cm
Step-by-step explanation:
you do AxBxCxH
a base side
b base side
c base side
height
all multiplied by each other
hope its correct good luck!
Find the missing side of the right
triangle if one leg is 6 ft and the
hypotenuse is 8 ft.
A. 28 ft
B. √2 ft
C. 10 ft
D. 2√7 ft
E. 2 ft
Answer:
it's D
Step-by-step explanation:
squrt(8^2-6^2)
use Pythago law
Solve the equation. Need HELP!!!
Answer:
[tex]m = 0.664[/tex]
Step-by-step explanation:
We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.
[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]
Answer: Heyaa! :D
Your Answer Is... m= 0.664
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hopefully this helps you!
-Matthew (HAVE AN AMAZING DAY)
Evaluate the following expression when t=5 when t^2-2t-2
Answer:
13Step-by-step explanation:
Evaluate the following expression when
t=5 when t^2-2t-2
replace t with 5 and remember PEMDAS
5² - 2 * 5 - 2 =
25 - 10 - 2 =
13
Answer:
when t=5
5² - 2×5 -2 = 13
hope it's right
Find the area of the blue shaded region in the figure.
Are EFG and HIJ similar
Answer:
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Hope it helps, have a fantastic day.
Step-by-step explanation:
We all know from geometry that all the angles of a triangle add up to 180 degrees.
We can form the following equation:
[tex]100 + 35 + E = 180[/tex]
[tex]E[/tex] here represents the measure of angle E.
Add together like terms:
[tex]135 +E = 180[/tex]
Then subtract 135 from both sides:
[tex]E = 45[/tex]
We can, likewise, form another equation for angle J :
[tex]100 + 45 + J = 180[/tex]
Add together like terms:
[tex]145 +J = 180[/tex]
Then subtract 145 from both sides:
[tex]J = 35[/tex]
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Answer ! And you’ll earn point haha
Answer: I agree with Marco because he took the least value in the growth of the plant(2) and the greatest value in the growth of the plant 3 1/2 and just subtracted them to get 1 1/2.
Step-by-step explanation:
It's like finding the range.
least is 2 greatest is 3 1/2
3 1/2 - 2= 1 1/2
х у
0 -11
1 -8
2 -5
3 -2
The table above represents what type of function?
A. linear
В. linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Answer:
A. Linear
Step-by-step explanation:
As the x value goes up by 1, the y value goes up by 3 each time
If point A is reflected across both axes, what are the coordinates of the reflected point?
(6, 3)
(-6, 3)
(-6, -3)
(6, -3)
Answer:
When you are reflecting a point, you are reversing its' axes. In this case, the reflection of (-6,-3) is (6,3).
Step-by-step explanation:
PLEASE MARK BRAINLESS
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help
The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]
Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
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A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4 topping sandwich
Answer: 4 ways because 4 times four is 18
Step-by-step explanation:
Answer: 7315 (i think this is right)