Answer:
volume = (length × Width × height)
(567/2) = (9×) × (17/4) × (w)
283.5 = 38.25w
w= 7.41inches
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
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
Please find the missing angle of this Shape.
N + 6 < -1 what is the solution to the inequality
Answer:
N<-7 or (-∞,-7) hope this helps
Which is the expected value of the random variable with given probability distribution ?
Answer:
Step-by-step explanation:
Let X be the RV we are talking about.
Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.
Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.
Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.
Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.
In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,
If X is a discrete RV and the values X could take is finite,
if X is a continuous RV,
write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) one unit to the right
Hello!
This question is about which values you are changing when you are transforming an equation.
Let's go through the parent function for an absolute value equation and its various transformations.
[tex]y=a|b(x-c)|+d[/tex]
Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.
The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.
One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.
Now that we know this, let's write each expression.
a) [tex]y=|x+2|+1[/tex]
b) [tex]y=|x+2|-1[/tex]
c) [tex]y=|x+3|[/tex]
d) [tex]y=|x+1|[/tex]
Hope this helps!
Ben deposited $10,000 into
each of two savings accounts.
Account I 4% Compounded Annually
Account II 3% Compounded Annually
Ben does not make any more deposits
or withdrawals. How much more money
will be in account I than account II at
the end of 3 years?
I’LL MARK BRAINLIST!!
(There isn’t any answer choices it’s a puzzle game)
Answer:did you get the answer tho
Step-by-step explanation:
question number.4
help me plss
Answer:
C
Step-by-step explanation:
65%=65/100
=0.65
This is the required answer.
Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.
Answer:
[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]
answer:10×2=20
5×3=15
Answer:
y = 7.5
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 20
10 = 20k ( divide both sides by 20 )
[tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation
When x = 15 , then
y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5
URGENT Question HELP FAST!!!!!
Answer:
8100 cubic ft
Step-by-step explanation:
[tex]v = l \times w \times h \\v = 75 \times 9 \times 12 \\ \\ v = 8100 [/tex]
Answer: 891 feet cubed
Step-by-step explanation:
Do 4x and 15 + x have the same value if x is 5?
Yes
or
No
-3.41 is located between which of the letters on
the number line?
K
L
M
N
e
R
S
+
0 P
+
0 1
-5
-4
-3
-2
- 1
2
3
4
5
a
Kand L
Ob
Mand N
Panda
Od
Rands
Answer:
k and l....................
What percent of 134 is 66? (To the nearest tenth of a percen t)
Answer: 49.25
Step-by-step explanation:
I need help please!!!!
Answer:
Step-by-step explanation:
Maybe A Emma, but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws :/
plz help me pls
8 hr = _________ min
30 min = _________ s
15 hr = ___________ min
5 yr = ____________d
7 d = ____________ hr
24 hr = __________ min
600 s = __________ min
60,000 min = __________ hr
Answer:
8hr=480min
30min=1800sec
15hr=900min
5yr=1825d
Step-by-step explanation:
Which value of x satisfies the inequality below?
13< x
Answer:
20
Step-by-step explanation:
since the sign is pointing to the "greater number"
any number over 13 is fine
The value of x can be 14, 15, .... and so on.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
13< x
So, we have to choose the value which are greater than 13.
The value of x cannot be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.
Thus, the value of x can be satisfies by 14, 15, .... and so on.
Learn more about Inequality here:
https://brainly.com/question/28823603
#SPJ2
Gary took a trip to bikini bottom. He recorded his progress along the way in the following table
Where is the table?
A triangle has one angle that measures 100 degrees. If the other two
angles are isosceles, what is the measure of these two angles? (Have to submit In 15 minutes)
Answer:
40
Step-by-step explanation:
180 -100 = 80
80/2 = 40
Which of the following shows a group of possible angles a triangle could have?
A. 10 degrees, 20 degrees, 190 degrees
B. 30 degrees, 60 degrees, 60 degrees,
C. 60 degrees, 90 degrees, 90 degrees
D. 50 degrees, 60 degrees, 70 degrees
Answer:
D) 50, 60, 70
Step-by-step explanation:
The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.
50+60+70= 180 degrees
Hope this helps
Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?
Answer:
2 : 1
Step-by-step explanation:
teaspoons of sugar : teaspoons of milk
= 2 : 1
hope this helps :)
Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Answer:
52 / 1,560
Step-by-step explanation:
18 / 30
? / 1,560
1,560 / 30 = 52
52 / 1,560
The harper family budgeted 37% of their income of $53000 for taxes. How much did they budget for taxes?
Answer: $19,610
Step-by-step explanation:
53000(.37)=19610
Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)
Answer:
Step-by-step explanation:
The hypotenuse is 200 meters.
The angle making the ground and the Hypotenuse is 7 degrees.
The trig relationship needed is the cosine.
Cos(7) = x / 200 Multiply both sides by 200
200*cos(7) = x
200* 0.9925 = x
x = 198.51
The calculator held the actual answer of cos(7)
Solve the following equation for x.
x2+19x+18=8x
Enter one solution in the first box. If there are two solutions, enter the second solution in the second box.
x =
x =
Answer:
=−2
=−9
Step-by-step explanation:
i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:7
Step-by-step explanation:
Answer:
I shall help
Step-by-step explanation:
11. The answer is 96 because 12 times 8 is 96
12. The answer is B.
13. The answer is also B because you need to count. BIG BRAIN
14 The answer is 8.
Next time please think a little harder
BRain;liest pls
you can combine radical expression by adding or subtracting if they have the same index and radicand. True or false
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Two of the radicals have the same index and radicand, so they can be combined. Rewrite the expression so that like radicals are next to each other. Combine. Although the indices of and are the same, the radicands are not—so they cannot be combined.
10. The figure is a rectangle. What is x?
28
Answer:
152
Step-by-step explanation:
180 minus 28 is 152 degrees
Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b ≠ 1 ?
Answer:
.
nhuxu
Step-by-step explanation:
vxxgfx
Find M please in this Geometry question.
Answer:
m = 8
Step-by-step explanation:
As we can see we have two similar triangles
These are triangles FDH and GEF
mathematically, when two triangles are similar, the ratio of their corresponding sides are equal;
Thus;
DH/DF = EG/EF
12/15 = m/10
15 * m = 12 * 10
15 m = 120
m = 120/15
m = 8
BRAINLY TO WHOEVER HELPS
Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10
Answer:
A, C and D
Step-by-step explanation:
B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go