Answer:
28,370.38
Step-by-step explanation:
If accumulated but not compounded
.06 * 20,000 = 1200 per year
1200 * 6 = 7200 total interest
7200 + 20,000 = 27,200
If compounded annually
20,000 * 1.06^6 = 20,000*1.4185 = 28,370.38
just an addtion to the reply above.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=20000\left(1+\frac{0.06}{1}\right)^{1\cdot 6}\implies A=20000(1.06)^6\implies A\approx 28370.38[/tex]
The table shows the results of a survey about students' preferred subjects in middle
school. What is the probability that a randomly selected student from the survey is a
7th grader that prefers English? Write your answer as a fraction and NOT as a
decimal.
Answer:
19/149
Step-by-step explanation:
38/298 = 19/149
7th graders who prefer English out of all students
Can someone help me please i’ll will give brainiest
Answer:
[tex]y = (5 + x)^2[/tex]
Step-by-step explanation:
"The square of the sum of x and 5 is equal to y."
Let's use our clue words that indicate what our equation will be.
Let's start easy, equal to y.
y =
Now let's look at the rest of the sentence minus the phrase we just used.
The square of the sum of x and 5.
The sum of x and 5 goes first,
x + 5
and since we are looking for the square of x + 5:
(5 + x)^2
therefore,
[tex]y = (5 + x)^2[/tex]
Answer:
square of y looks like y2
five times y2is written 5y2
square of x looks likes x2
usually, a mathematical expression is written in alphabetical order x2+5y2
Kayla-
HOPE I GET BRAINLIEST!
Please help me solve this
Show work
NO LINKS!!!!!
Answer: The first one 5/10 is 0.5 or 50% 5÷10. The second one 5/100 is 0.05 or 500%. The third one 5/1000 is 0.005 or 5000%.
Step-by-step explanation:
All you have to do is divide and you do that for all of them. Also did you know quotient means the answer to a division question. Wow! Also, if you see that all I did was add another zero in the middle of the decimals is because That is Decimal Place value. Here is a picture of that just in case. The last answer for the very bottom one is what I just said about decimal place value so here is the reflection: When dividing by tens using decimals always be sure to use place value. Thank you I was happy to help!
The figures are similar. Find x.
Answer:
x=15
Step-by-step explanation:
divide 20 by 8 and you get 2.5
multiply 2.5 by 6
-5 (2b+7) + b < -b -11
Answer:
b > -3
Step-by-step explanation:
-5(2b+7) + b< -b - 11
Distribute -5
-10b - 35 + b < - b - 11
Combine like terms.
-9b - 35 < - b - 11
Add b to both sides.
-8b - 35 < -11
Add 35 to both sides.
-8b < 24
Divide by -8. REVERSE THE SYMBOL!! because dividing by a negative number.
b > -3
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
A. MO/SA = OE/AW
Step-by-step explanation:
A. would be your correct answer because if you analyze the triangles you can see that the similar sides would be MO and SA, OE and AW, and ME and SW. In all of the answers, they compare sides that arent similar like OE/SW. However, in the first answer, the sides they compare are indeed similar, as you can see by what I listed above. These sides are similar because they are both the adjacent and opposite sides of each triangle.
Hope this helps! :)
candy had some money. she bought a drink for £1.45 and a piece of cake for £1.20 she now has two thirds of her money left. how much money did candy to start with? i suck at fraction
The amount of money Candy started with after spending on drinks and cakes is £7.95
How to find the amount of money she started with?She bought a drink for £1.45 and a piece of cake for £1.20.
She has two thirds of here money left.
Let the money she has initially = x
Therefore,
2 / 3 x = x - 1.45 - 1.20
2 / 3 x = x - 2.65
subtract x from both sides
2 / 3 x - x = - 2.65
2x - 3x / 3 = - 2.65
- x / 3 = - 2.65
cross multiply
-x = - 2.65 × 3
- x = -7.95
x = £ 7.95
Therefore, Candy started with £7.95
l
earn more on amount here: https://brainly.com/question/16969113
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If the ratio of homes without children to homes with children is about 8:7 if there is 4125 homes how many are without children
Answer:
2200
Step-by-step explanation:
8+7=15 4125/15=275 275x8=2200
Solve for x. 3 (x-4) < x-5
Answer:
x < 7/2
Step-by-step explanation:
-3/5x-7/10x+1/2x = -56
Answer:
x=70
Step-by-step explanation:
Sophia has 7m of ribbon to help decorate a room. She will cut pieces of a ribbon that are each r inches long. (1in = 2.54cm)
Which expression can help find the number of pieces of ribbon that she will have?
What is 5 divided by 1/4?
A 1/20 |
B 5/4
C 4/5
D 20
Answer:
D. 20
Step-by-step explanation:
You do KEEP CHANGE FLIP:
Multiply 5 by 4. You get 20/1 which is 20
can you help me please?
Answer:
93
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. The given measures, 37 and 56, sum up to 93. 180-93 = 87. This means the last interior angle is 87 degrees. But, the degree measure of a straight line is also 180 degrees, so 180-87 is 93, the answer.
Stanley has $18 to spend on packs of trading cards that cost $1.50 each. The inequality 18≥1.5p represents the number of packs p he can buy. What is the greatest number of whole packs Stanley can buy?
Answer:
Numbers of packs p is 12
Step-by-step explanation:
Data :
Money = $18
Price of a card = $1.5
Equation : 18 ≥ 1.5p
Solve the equation for p
18/1.5 ≥ p
12 ≥ p
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
im not good in this but thats insane.
12 meters
or what is problem?
graph the equation.
- 5/4 (x-1)(x+3)
Answer:
Step-by-step explanation:
So, to graph a parabola we must have at least 3 points, the x intercepts and the turning point. Currently the equation is in x intercept form which means that we know straight away (assuming the equation =0) that the x intercepts are:
(1,0) and (-3,0)
Now we have to find the turning point and we can do this by putting the equation into turning point form:
-5/4([tex]x^{2} +2x-3[/tex])
-5/4(([tex](x+1)^{2} -3-1[/tex])
-5/4[tex](x+1)^{2}+5[/tex]
Now we can figure out the turning point which is:
(-1,5)
Graph those three points and you should get a parabola shape
Please give me right answer fast need it by tonight
Translate the sentence into an equation. The sum of 8 times a number and 9 equals 6. Use the variable y for the unknown number.
Answer:
8y + 9 = 6
Step-by-step explanation:
8 times a number (8y) and 9 (+9) equals 6 (=6)
Rob buys a rocking chair priced at 27$. if the sales tax is 10%, what will be the total cost including tax?
Answer:
$29.7
Step-by-step explanation:
10 percent of 27 is 2.7 then you add 27 and 2.7 and you get 29.7
Given the lengths of two sides of a triangle. write an inequality to indicate between which two numbers the length of the third side must fall. 8 and 13. 11.5 and 23.6. 22 and 15. 13.2 and 6.7. and 23 and 44. answer for each of the problems like __< 3 rd side<__
Answer:
1. 5 <3rd side<21 2. 12.1<3rd side<35.1
Step-by-step explanation:
Answer:
1: 5 < 3rd side <21
2: 12.1< 3rd side < 35.1
3: 7<3rd side < 37
4: 6.5 < 3rd side 19.9
5 : 21 < 3rd side 67
Step-by-step explanation:
For example you have 5 and 10
you take 5 + 10 to get your side and you do
the biggest number - the smaller number to get the _ <3rd.
So if you have 5 and 10 you know that it would be 5 < 3rd side < 15
PLEASE HELP ME TO UNDERSTAND
Answer:
x > 0Step-by-step explanation:
The denominator is positive for any value of x.
So we solve the numerator:
5ˣ - 1 > 05ˣ > 15ˣ > 5⁰x > 0Can someone please help me? :(
The sides of One World Trade Center in New York City form
eight isosceles triangles, four of which are 200 ft long at their base BC. The
length AC of each sloping side is approximately 1185 ft.
The value of ∠BAC in the isosceles triangle is 9.7°
Cosine rule
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
a² = b² + c² - 2bc*cos(A)
where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.
AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:
200² = 1185² + 1185² - 2(1185)(1185)cos(x)
2(1185)(1185)cos(x) = 2808450
cos(x) = 0.9857
x = 9.7°
The value of ∠BAC in the isosceles triangle is 9.7°
Find out more on Cosine rule at: https://brainly.com/question/7872492
circle has a radius of 13 cm, What is its circumference?
Answer:
C≈81.68cm is the answer.
Someone help me with this pls
Answer:
x° = 55°
Step-by-step explanation:
An exterior angle is equal to the sum of the remote interior angles:
x° = 21° +34°
x° = 55°
How do I answer this?
Answer:
2k³ is the GCF.
Step-by-step explanation:
GCF of [tex]10k^{3} ,6k^{3}[/tex]
Finding the factors:
=10k³[Factoring 10k³]
=2×5×k×k×k
=6k³[Factoring 6k³]
=2×3×k×k×k
Common factors in 10k³ and 6k³.
=2×k³
=2k³
GcF
[tex]\\ \tt\hookrightarrow 2(k)(k)(k)[/tex]
[tex]\\ \tt\hookrightarrow 2k^3[/tex]
Find the product of (x 5)(x − 5). X2 − 10x 25 x2 10x 25 x2 − 25 x2 25.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)(x-5) = x^2 - 25[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is obtained as:
[tex](x+5)(x-5) = x(x - 5) + 5(x - 5) \\\\(x+5)(x-5) = x^{1+1} - 5x + 5x - 25 = x^2 - 25[/tex]
Thus,
The product of [tex](x+5)(x-5) = x^2 - 25[/tex]
Learn more about polynomial product here;
https://brainly.com/question/9106484
pls help
Match the following items by evaluating the expression for x = -2.
x ^-2
x ^-1
x ^0
x ^1
x ^2
50 points!
Answer:
Exponent rules used:
[tex]a^{-b}=\dfrac{1}{a^b}[/tex][tex](-a)^b=a^b \ \ \ \textsf{if b is even}[/tex][tex]a^0=1, \ a\neq 0[/tex][tex]x^{-2}=\dfrac{1}{x^2}= \dfrac{1}{(-2)^2}=\dfrac{1}{2^2}=\dfrac14[/tex]
[tex]x^{-1} = \dfrac{1}{x}= \dfrac{1}{-2}=-\dfrac12[/tex]
[tex]x^0=1\implies (-2)^0=1[/tex]
[tex]x^1=x =-2[/tex]
[tex]x^2=(-2)^2=2^2=4[/tex]
In recent days, Rudy has worn a brown shirt on 5 days and shirts in other colors on 5 days. Considering this data, how many times would you expect Rudy to wear a brown shirt in the next 12 days?
Answer:
6
Step-by-step explanation:
5/10
1/2
then 6 trust me
7. Arrival of the Normandy Train
Claude is waiting to meet the train from Normandy at Gare Saint-Lazare in Paris. He
tells Marie the hour of the train's arrival and he tells Jean at which minute it arrives. He
also tells them both that the train arrives between 0600 and 1000.
They consult the timetable and find the following services between those times:
0620, 0639, 0650; 0717, 0746; 0825, 0839; 0917, 0925, 0950.
Marie then says, “I don't know when Claude's train arrives, but I'm sure that neither does
Jean."
Jean replies, “I didn't know his train, but now I do."
Marie responds, “Now I do as well!"
When is Claude's train and how do you know?
Answer:
0839
Step-by-step explanation:
First of all, let's cancel 0620 and 0746, because they dont have any other number that has the same last 2 digits as them. Jean would've immediately known the train number if it was one of these two.
Now, when Marie says "I'm sure that neither does Jean", it means she is guaranteed Jean doesn't know the train number. It mean she couldnt've gotten 06 or 07, as 0620 and 0746 have it.
We're left with 0825,0839,0917,0925 and 0950
When Jean replies he knows the train number, it means he couldnt've gotten 25, as it's repeated.
And when Marie responds she knows as well, she couldnt've gotten 09, as it's also repeated.
We can cancel 0825,0917,0925 and 0950
So, the train number is 0839