Answer:
you can organize them 24 different ways
The different ways can he line the textbooks up on his bookshelf is 24
What is fundamental counting principle?The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation.
Given that, Connor is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a physics textbook, and a health textbook.
The number of ways to arrange n things = n!
Number of different books = 4
Number of different ways to arrange 4 different books =4!
Number of different ways to arrange 4 different books= 4 x 3 x 2 x1
Number of different ways to arrange 4 different books = 24
Hence, the different ways can he line the textbooks up on his bookshelf = 24
Learn more about fundamental counting principle, click;
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Aubree invested $27,000 in an account paying an interest rate of 0.0825% compounded monthly. Addison invested $27,000 in an account paying an interest rate of 0.08625 % compounded continuously. After 20 years, how much more money would Addison have in her account than Aubree, to the nearest dollar?
Answer:
A = $27,445.50
Step-by-step explanation:
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 0.0825%/100 = 0.000825 per year.
Solving our equation:
A = 27000(1 + (0.000825 × 20)) = 27445.5
A = $27,445.50
The total amount accrued, principal plus interest, from simple interest on a principal of $27,000.00 at a rate of 0.0825% per year for 20 years is $27,445.50.
Answer: $11741
Step-by-step explanation:Rate 1: 8
4
1
%=8+1/4=
\,\,8.25\%\rightarrow 0.0825
8.25%→0.0825
\text{Rate 2: }8\tfrac{5}{8}\%=8+5/8=
Rate 2: 8
8
5
%=8+5/8=
\,\,8.625\%\rightarrow 0.08625
8.625%→0.08625
\text{Calculate Final Amount for Aubree}
Calculate Final Amount for Aubree
\overline{\phantom{\text{Calculate Final Amount for Aubree}}}
Calculate Final Amount for Aubree
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
P=27000\hspace{35px}r=0.0825\hspace{35px}t=20\hspace{35px}n=12
P=27000r=0.0825t=20n=12
A=27000\left(1+\frac{0.0825}{12}\right)^{12(20)}
A=27000(1+
12
0.0825
)
12(20)
A=27000(1.006875)^{240}
A=27000(1.006875)
240
A=139796.9278
A=139796.9278
\text{Calculate Final Amount for Addison}
Calculate Final Amount for Addison
\overline{\phantom{\text{Calculate Final Amount for Addison}}}
Calculate Final Amount for Addison
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=27000\hspace{35px}r=0.08625\hspace{35px}t=20
P=27000r=0.08625t=20
A=27000e^{0.08625(20)}
A=27000e
0.08625(20)
A=27000e^{1.725}
A=27000e
1.725
A=151538.0678
A=151538.0678
\text{How much more money Addison has:}
How much more money Addison has:
151538.0678-139796.9278
151538.0678−139796.9278
If x = 4, y = 3, z = -5, then evaluate: z - z + x - y
help please
Marcie heated a beaker of water in science class. The scatter plot shows the temperature (y), in degrees Celsius, of the water based on the number of minutes (x) she heated the water.
Part A: The line of best fit for this data is
y = 5.3x + 23. Use this equation to make a conjecture about the temperature of the water in the beaker if heated for 6 minutes.
A.
The water will be about 71⁰C.
B.
The water will be about 55⁰C.
C.
The water will be about 32⁰C.
D.
The water will be about 50⁰C.
Part B: What is the y-intercept in the line of best fit? What does the y-intercept represent in the scatter plot?
A.
5.3; the amount the temperature increases each minute
B.
5.3; the temperature of the water before it is heated
C.
23; the amount the temperature increases each minute
D.
23; the temperature of the water before it is heated
Answer:
Part AGiven function
y = 5.3x + 23The value of y at x = 6:
y = 5.3*6 + 23 = 54.8° CThe closest choice is :
B. The water will be about 55⁰CPart BThe y-intercept is the value of y when x = 0
y = 5.3*0 + 23 = 23° CThis is the initial temperature at zero minute time, before heating is applied.
Correct choice is:
D. 23; the temperature of the water before it is heated Draw BC that divides ABD
into two smaller angles.
Measure each angle. Solve
this problem any way you
choose.
Answer:
Attached below is the missing figure
answer : ∠ABD = ∠AbC + ∠ CbD
Step-by-step explanation:
when Line BC is drawn to divide ∠ABD equally
solving each angle :
∠ABD > ∠AbC also angle
∠ABD > ∠ CbD
∴ ∠ABD = ∠AbC + ∠ CbD
assuming ∠B = 60°
therefore ∠b = 60 / 30 = 30°
Find the value of x.
Answer:
34
Step-by-step explanation:
I will give brainliest to whoever gives correct answer first!
A short term loan of £60000 is taken for 15 weeks. Simple interest is charged at 17.5% p.a.
How much needs to be repaid altogether?
Answer:
Kahe be kaha se ba see u online ba hahahaha
Answer:
$ 100,000,000,000 is required to repay
a little helps? frvvrfew3
Answer:
Step-by-step explanation:
x ≤ 165
Hope that helps!
Write the sentence as an equation.
35 is equal to 92 less than c
find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8,...
Answer:
a₁₅ = 86x - 68
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2x + 2
d = a₂ - a₁ = 8x - 3 - 2x - 2 = 6x - 5 , then
a₁₅ = 2x + 2 + 14(6x - 5)
= 2x + 2 + 84x - 70
= 86x - 68
A man traveled 108 km at an average speed of 72 km/h. He returned at an average speed of 54km/h. What was his time for the whole journey?
Explain relationship between x # 2 and the factor x - 2.
Answer:
x#2 and x-2 is the same
Step-by-step explanation:
Find the volume of this composite figure.
[?] cubic centimeters
2 cm
2 cm
2 cm
2 cm
5 cm
5 cm
11 cm
Answer:291
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
hoped this helped.
A candy store makes chocolate bars in large quantities. To make this large amount, a chocolate
maker weighs 6 identical bricks of chocolate plus a 3 pound brick for a recipe that calls for 27
pounds of chocolate.
Which is a graph of a proportional relationship? NO BITLY ITS A SCAM I KNOW IT
Answer:
c
Step-by-step explanation:
whats the area of this square help me, please
Answer:
The area is 36m^2
Step-by-step explanation:
6×6=36
Answer:
6 x 6 = 12
Step-by-step explanation:
area is length x width and all sides on a square are congruent ( so all of the sides are 6)
The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?
Answer: See explanation
Step-by-step explanation:
Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.
Therefore, the trade discount will be:
= List price × Trade discount rate
= $58.75 × 80%
= $58.75 × 0.8
= $47
Net price = List price - Trade discount
= $58.75 - $47
= $11.75
AB is a diameter in a circle whose centre is the origin where A =(2,0) then B=
Answer:
(-2,0)
Step-by-step explanation:
PLEASE HELPPPPP ASAP Which is an absolute value function g(2) that represents both horizontal and vertical transformations of the parent function f(x) = |x|?
A. g(x) = 3|x|+ 10
B. g(x) = – 5|x - 7|
C. g(x) = |x+3| + 4
D. g(x) = 2| x- 44|
Answer:
C
Step-by-step explanation:
This graph goes 3 to the left and 4 up. The only one with horizontal and vertical transformations.
what is the value of y in the triangle
Answer:
y ≈ 6.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin26.5° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{15}[/tex] ( multiply both sides by 15 )
15 × sin26.5° = y , then
y ≈ 6.7 ( to 1 dec. place )
I NEED HELPP PLS!!!!!!!!!!!!!!!!!!!
Answer:
270
Step-by-step explanation:
The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]
After plugging in the numbers given to the formula, we find that the area of the triangle is 27.
Then to account for the length, we multiply the area of the triangle by 10.
This gets us to 270.
A toy train set has a circular track piece. The inner radius of the piece is 6 cm. One sector of the track has an arc length of 33 cm on the inside and 55 cm on the outside. What is the width of the track?
Answer:7cm difference
Step-by-step explanation:when the circumference is 55 the diameter is 17 when the circumference is 33 the diameter is 10
17-10=7
Answer:4
Step-by-step explanation:
plz help on this one
Answer:
I beleive is it B "The domain is the set of real numbers great then 2."
Answer:
a
Step-by-step explanation:
my aunt is a teacher she told me the answer
Sara's mother has bought 90 lollipops and 105 pencils for goody bags for Sara's birthday. What is the largest number of goody bags that Sara's mother can make so that each goody bag has the same number of lollipops and the same number of pencils?
All lollipops and pencils should be used for the goody bags.
Answer:
90 because you have one lollipop in each bag and then your will have 15 dollars left
Step-by-step explanation:
Identify the vertex of the parabola
Options:
A. (-1,0)
B. (0,-1)
C. (0,1)
D. (1,0)
Help ASAP I’ll mark you as brainlister please HELPP ik crying I feel so useless pleasee
Answer:
439.8 ft²
Step-by-step explanation:
-6x^2-5x-5=
−6x
2
−5x−5=
\,\,-4x^2
−4x
2
Answer:
what is the question? it's not clear
a(3x - 8) = b - 18x
Find the value of a
find the value of b
Explain how the value of a and b you got makes the equation true
Step-by-step explanation:
a(3x-8)=b-18x
TRANSPOSE
a(3x +18x)=b+8
a(21x)=b+8
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
d
Step-by-step explanation:
I took the test .......................
Here is a triangular prism.
A triangular prism, the triangle has base 6 centimeters, sides 5 centimeters each, and height 4 centimeters perpendicular to the 6 centimeter base. The prism has height 10 centimeters.
What is the volume of the prism, in cubic centimeters?
Solve for x. Round your answer to the nearest tenth (0.1)
Answer:
[tex]x\approx 7.0[/tex]
Step-by-step explanation:
Since we are given a right triangle, we can use right trigonometric ratios.
x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:
[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]
Solve for x:
[tex]x=10\tan(35^\circ)[/tex]
Use a calculator:
[tex]x=7.0020...\approx 7.0[/tex]
x=7 yards
Answer:
Solution Given:
Opposite = x
base=10yards
and angle is 35°
we know that
relationship between opposite and base is given by Tan angle
so
Tan 35°= opposite/base
Tan 35°*10=x
x= 7.002
x≈7 yards