Answer:
a = 25
r = 20%
y (5)= 62.2
here you go pro
an = -15 + 5(n – 1)
Find the 21st term of the sequence.
Answer:
[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]
85 the 21st term of the sequence.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
here, we have,
an = -15 + 5(n – 1)
so,
a_21= -15+(21-1)5
=-15+100
=85
Hence, 85 the 21st term of the sequence.
To lean more on Arithmetic progression click:
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Jared has 12 more comic books than Zoe. If they have 28 comic books
altogether, find the number of comic books Jared has.
Your answer
Answer:
20 comic books
Step-by-step explanation:
Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.
Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:
[tex]x+x+12=28\\2x+12=28[/tex]
Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:
[tex]2x=28-12\\2x=16\\x=8[/tex]
We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:
[tex]x+12=\\8+12=\\20\\[/tex]
Therefore, Jared has 20 comic books.
I hope this helps! Please let me know if you have any further questions :)
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
lunch. Her sister Evelyn has $83 in her lunch account, and she spends $4 per day for lunch. In
how many days will Susan's lunch account balance be less than Evelyn's?
Answer:
i may be entirely wrong but evelyn has more days
susan=18
evelyn=20.75 or 21 if rounded
Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Melanie performs the experiment 61 times. The results are shown below: A orange chew was selected 38 times. A cherry chew was selected 5 times. A peach chew was selected 18 times. Based on these results, express the probability that the next chew Melanie removes from the bag will be peach chew as a decimal to the nearest hundredth.
Answer:
0.30
Step-by-step explanation:
Given that:
Total number of trials = 61
Number of orange chews = 38
Number of cherry chews = 5
Number of peach chews = 18
Probability that next chew removed will be a peach chew ;
This is an experimental probability problem ;
Using the relation :
Experimental probability of A;
Number of successes (A) / total number of trials
Hence, Probability that next chew removed will be a peach chew ;
Experimental probability of peach chew :
Number of trails = 61 ; number of successes (peach chew) = 18
P(peach chew) = 18 / 61
P( peach chew) = 0.2950819
= 0.30 ( nearest hundredth)
What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)
Answer:
The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
Step-by-step explanation:
We need to find perimeter, in terms of x, of the triangle shown here.
The length of side 1: [tex](7x^2 - 12)[/tex]
The length of side 2: [tex](-5x + 30)[/tex]
The length of side 3: [tex](3x^2 + 4x)[/tex]
The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]
Putting values and finding perimeter:
[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]
So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
Write the following expression in exponential form: (2 points) 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5 × 4.5
Answer:
The answer is [tex]4.5^7[/tex]
Step-by-step explanation:
This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].
The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
Answer: y+7= 3(x-5) C
Step-by-step explanation:
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical. At a point d = 37 meters from the tree, the angle of elevation to the top of the trees
is a = 29° (see figure). Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
d m
Additional Materials
eBook
Answer:
Height of the tree is 40.0 meters.
Step-by-step explanation:
From ΔABC,
m∠ABC = 90°
Since, m∠ABC = m∠CBD + m∠ABD
90° = 6° + m∠ABD
m∠ABD = 90°- 6° = 84°
By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
84° + 29° + m∠BDA = 180°
m∠BDA = 180° - 113°
= 67°
By sine rule in ΔABD,
[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]
[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]
h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]
h = 39.98
h ≈ 40.0 meters
Therefore, height of the tree is 40.0 meters.
The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.
At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).
∠ABC = 90
We have
In ΔABC
∠ABC = ∠CBD + ∠ABD
∠ABD = 90 - 6
∠ABD = 84
By triangle sum in ΔABD, we have
∠ABD + ∠BDA + ∠DAB = 180
∠BDA = 180 - 84 - 29
∠BDA = 67
Then by the sine rule, we have
[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Given m ||n, find the value of x.
(7X+9)
(9x+5)°
Answer:
x = 2Step-by-step explanation:
(7x + 9)° is corresponding angle to (9x + 5)° angle
Therefore:
m║n ⇒ (7x + 9)° = (9x + 5)°
(7x)° + 9° = (9x)° + 5° {subtract (7x)° from both sides}
9° = (2x)° + 5° {subtract 5° from both sides}
4° = (2x)° {divide both sides by 2°}
x = 2
Question 3(Multiple Choice Worth 1 points)
(05.04 MC)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Answer:
The mean would increase
Step-by-step explanation:
The mean would increase
78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase
2c +3= -11
Remember:
Answer:
-7
Step-by-step explanation:
Hey there
Let's solve your equation step-by-step.
2c+3=−11
Step 1: Subtract 3 from both sides.
2c+3−3=−11−3
2c=−14
Step 2: Divide both sides by 2.
2c/2 = -14/2
c=−7
Have a wonderful day
what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay
C. 2%; exponential decay
You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.
The percent rate of change in given function is -2%
The function represents exponential decay.
Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?Finding percent rate of change in given function:
For finding this, first find how much the output y changes if we change x from x to x + 1.
Output when x = x: [tex]y = (0.98)^x[/tex]
Output when x = x+1: [tex]y = (0.98)^{x+1}[/tex]
Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)
Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]
The percentage of rate of change is found as:
[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]
Thus, the percent rate of change is -2%
The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.
Learn more about exponential growth or decay here:
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A fish is 12 Meters below the surface of the ocean. what is it's evelation
PLEASE, PLEASE HELP D:
write the linear equation given :
1. slope = 1/4; y-intercept =7
2. slope = -3; y-intercept = 2/3
3. slope = 2/3; y-intercept = 2/3
4. slope = -2; y-intercept = -1/2
5. slope = -3/4; y-intercept = -3
Answer:
1. y =1/4x + 7
2.y =-3x + 2/3
3. y =2/3x + 2/3
4.y =-2x - 1/2
5.y =-3/4x -3
Step-by-step explanation:
By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b
estimate 70 divided 30
Answer:
1.4 estimate: 1
Step-by-step explanation:
Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
pls help due asap
:..
Answer:
a
Step-by-step explanation:
A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a new rectangle
Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.
Answer:
imma say 12 guests
Step-by-step explanation:
sorry if wrong
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
Find the area of the parallelogram.
Answer:
12
Step-by-step explanation:
12 is the area
Since,
6×2=12
Pls help I need help
Hehhehrhrh
Answer:
C) 11.4
Step-by-step explanation:
Order the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07
Answer:
2.007;2.07;2.09;2.714;2.741
Step-by-step explanation:
2.007 is the least and 2.741 is the greatest
Answer: 2.007, 2.07, 2.09, 2.714, 2.741
Step-by-step explanation:
1/2+ p = -3 solve for p
Answer:
-3.5Step-by-step explanation:
1/2+p= -3
p= -3-1/2
p= -3.5
hope it helped? (3
answer these questions if ur smart
Answer:ayyyy more free points
Step-by-step explanation: so i can ask questions
\
Translate the sentence into an equation The sum of 5 times a number and 7 is 3
Use the variable b for the unknown number
HELPPPPPP
Answer:
Equation: 5b + 7 = 3
Step-by-step explanation:
Unknown number = b
5 times of number = 5b
Sum of 5b and 7 = 5b + 7
Equation;
5b + 7 = 3
Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.
Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
what is the answer for y=__x+__
Answer:
y=1/-4x+4
Step-by-step explanation:
hey
Step-by-step explanation:
Slope (x) is rise/run. From one intersecting point to the next, we find it is moving 4 y down and 1 x over. Using this we conclude the slope is -4/1x (or -4x)
The second number in the system is b, or y-intercept. The line intercepts at 4y. If we combine these together, the outcome is y = -4x + 4
