Answer:
Value of investment for Sierra after two years will be $5100.5
Step-by-step explanation:
Principal Amount P =$5000
Interest rate r = 1% = 0.01
Time t = 2 years
Compounded annually n = 1
We need to find future amount A
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]
So, Value of investment for Sierra after two years will be $5100.5
What is the solution set for StartAbsoluteValue y minus 9 EndAbsoluteValue less-than-or-equal-to 12:A?
y greater-than-or-equal-to 3 or y less-than-or-equal-to 21
Negative 3 less-than-or-equal-to y less-than-or-equal-to 21
y greater-than-or-equal-to negative 3 or y less-than-or-equal-to 21
3 less-than-or-equal-to y less-than-or-equal-to 21
Using the absolute value concept, it is found that the solution is:
[tex]-3 \leq y \leq 21[/tex]Which is given by the second option.---------------------------------
The absolute value of a point, or of a function, measures it's distance to the origin.The inequality given by:
[tex]|y - 9| \leq 12[/tex]
The distance to the origin is of at most 12 between -12 and 12, thus:[tex]-12 \leq y - 9 \leq 12[/tex]
We have to solve both inequalities, and find the intersection.[tex]-12 \leq y - 9[/tex]
[tex]-y \leq 3[/tex]
[tex]y \geq -3[/tex]
[tex]y - 9 \leq 12[/tex]
[tex]y \leq 21[/tex]
The intersection is values of y between -3 and 21(and logical operator, not or), inclusive, thus: [tex]y \geq -3[/tex] and [tex]y \leq 21[/tex], that is: [tex]-3 \leq y \leq 21[/tex]A similar problem, involving absolute value, is given at https://brainly.com/question/24734454
Answer:
B: -3 ≤ y ≤21
Step-by-step explanation:
What is required for an electric charge to flow through a wire?
zero resistance in the wire
a balance of electric potential
high resistance in the wire
a difference in electric potential
The thing that is required for an electric charge to flow through a wire is D. a difference in electric potential.
What is an electric charge?It should be noted that a electric charge simply means a property of matter that shows how they're affected by a magnetic field.
In this case, the thing that is required for an electric charge to flow through a wire is a difference in electric potential.
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Chocolate chip cookies call for 3 1/4 cups of sugar for 2 1/2 batches. To make 1 1/4 batches of peanut butter cookies you need 1 3/4cups of sugar. Which type of cookie requires more sugar per batch
Answer:
=peanut butter cookie batches require more sugar
Step-by-step explanation:
chocolate chip cookies:
3 1/4 / 2 1/2
7 / 5 = 7 x 2 = 7 cups
4 2 4 5 10
peanut butter cookies:
1 1/4 / 1 3/4
5 / 7 = 5 / 4 = 5 cups
4 4 4 7 7
compare cups
7 , 5 = 49 , 50
10 7 70
=50 = 5 = peanut butter cookie batches require more sugar
70 7
A state lottery game requires that you pick 6 different numbers from 1 to 44. What is the probability of picking exactly 3 of the 6 numbers correctly?
Answer:
Step-by-step explanation:
This would be a sequence of events therefore, in order to calculate this you would simply need to multiply together the probability of each event happening seperately. The probability of getting a correct number is 1/44 while the probability of getting an incorrect number is 43/44. Therefore, since we need to find the probability of getting only 3 out of the six correct we would multiply the following.
[tex]\frac{1}{44} * \frac{1}{44} * \frac{1}{44} * \frac{43}{44} *\frac{43}{44} *\frac{43}{44} =[/tex] 0.000001095 or [tex]\frac{79,507}{7,256,313,856}[/tex]
Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay! :)
X
Step-by-step explanation:
Multiply by reciprocal: [tex]\frac{x}{6} *\frac{6}{1} =\frac{6x}{6} =x[/tex]
[tex] \Large{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
Here we have to simplify:
[tex] \rm{ \dfrac{x}{6} \div \dfrac{1}{6} }[/tex]So, we know that:
Dividing a fraction by another fraction is the same as multiplying the fraction by the reciprocal (inverse) of the other.
By using this,
➝ [tex] \rm{ \dfrac{x}{6} \times 6}[/tex]
➝ [tex] \rm{x}[/tex]
The correct answer is Option (A)
Question 21 of 25
In AQRS, m2 Q = 63º, m2 R = 70°, and m2 S= 47° Which side of AQRS is the
shortest?
O A. QR
O B. Cannot be determined
O C. RS
O D. QS
w
SUBMIT
Answer:
I think its QR
Step-by-step explanation:
Sorry if im wrong
The side QR is the shortest side.
Option A is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the fact that in a triangle, the side opposite the smallest angle is the shortest side.
So we need to determine which angle is the smallest.
Now,
In ΔQRS,
m∠Q = 63º, m∠R = 70°, and m∠S= 47°
Now,
m∠S= 47° is the smallest.
So,
QR is the side opposite to m∠S.
Thus,
QR is the shortest side.
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what is the solution of inequality -6+2p+3 >7
Help me out in this question please
Answer:
The Answer is D, 6 1/12
Step-by-step explanation:
1. 3 1/4 = 3 3/12
2. 2 5/6 = 2 10/12
3. 3 3/12 + 2 10/ 12 = 5 13/12
4. 5 13/12 = 6 1/12
Use mathematical induction to prove that the statement is true for every positive integer n.
7+49+343+...+7↑n= 7↑n+1-7/6
PLZ HELP ME
Answer:
3x-4v
it is because of me
A number x is multiplied by - 7/12. The product is -0.6. What is the value
of x?
Answer:
7.2/7
Step-by-step explanation:
is the answer
follow me
help i wiil biran list you
find the value of x of given figure and solve this question step by step plzz help question number D
Answer:
15
Step-by-step explanation:
First we need to find the length of BC and for that we gonna use Pysagoras theorem
10^2 + (2√11)^2 = |BC|^2
√144 = |BC|^2
12 = BC Now we will use this to find the value of x
x^2 = 12^2 + 9^2
x^2 = 144 + 81
x^2 = 225
√x^2 = √225
x = 15
Answer:
The value of x is 15 cm.
Step-by-step explanation:
There are two triangles in the diagram that share a common side.
The triangles are:
ABC and BDC
First we have to find the third side of BDC so that we can use it to find the value of x.
The triangle is a right angled triangle so Pythagoras theorem can be used to find the third side.
In the triangle
[tex]Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm[/tex]
Pythagoras theorem is given as:
[tex](Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm[/tex]
Now for triangle ABC
[tex]Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\[/tex]
Using Pythagoras theorem
[tex]AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm[/tex]
Hence,
The value of x is 15 cm.
A person runs 1 4/5 miles in 1/5 of an hour determine how many miles they are running per hour
Answer:
Step-by-step explanation: There are different methods to solve this, but I chose to change these into decimals- 1.8 and .20, to make it easier. Since miles per hour is speed, and speed is distance divided by time, all you have to do is fill in the blanks.
Since 1.8 / .20= 9, the answer is 9 miles per hour.
To take it a step farther, you could multiply this by any number of hours, or convert it to minutes. For example, to figure out how far they'd get in 10 minutes, I could divide the unit rate by 60, since there are 60 minutes in an hour, and get 0.15. So, in 10 minutes, they'd get 0.15 miles away.
Just in the mood for math, ig.
Ew, did I just say that? >.<
16 factory workers made 40 pieces in a certain amount time
Answer:
10 but im notr really sure
Step-by-step explanation:
daisy breeds locusts . how many 5kg bags of food will she need to last four weeks if her locusts eat 1kg of food a day ?
Answer:
28
Step-by-step explanation:
7 bags for 7 days, times 4 weeks = 28 bags.
and what psychopath BREEDS LOCUSTS?!
theres a freaking locust plague in different countries you know T^T
2xy-xz=4 solve for x
Hurry.
What is the least common multiple of 4 and 12?
Answer:
12
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Answer:
the LCM is 12
Step-by-step explanation:
Please answer I’ll pay you $100 lol thanks
Answer:
d = [tex]\pi[/tex]
e = [tex]-\sqrt{8}[/tex]
f = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
D is equal to pi because pi is 3.1415... Therefore we need a point that is a little more than -3 and that is point d.
[tex]-\sqrt{8}[/tex] is roughly equal to -2.8 because 3 * 3 = 9 so that is too much, and 2 * 2 = 4 is too little so it has to be between -2 and -3. Therefore the point is e.
For 3/2 it has to be less than 2 because 2 cannot go into 3 more than once. The point would then be point f.
Hope this helps!!
- Kay :)
I need help with question 7
125 is what percent of 50?
Answer:
250%
Step-by-step explanation:
For this equation we have to use the percent composition formula. It is as follows:
[tex]\frac{part}{whole} *100 = percent[/tex]
Now, we plug in the numbers given in the equation. 125 being the part and 50 being the whole.
[tex]\frac{125}{50} *100 = 250[/tex]
Therefore, 125 is 250% of 50.
Hope this helps!!
- Kay :)
The percentage of 125 in whole quantity 50 is, 250%
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
To find what percentage 125 is of 50, we first need to convert the ratio of 125 to 50 into a decimal and then convert the decimal into a percentage.
The ratio of 125 to 50 can be expressed as a fraction: 125/50. We can convert this fraction to a decimal by dividing the numerator by the denominator:
⇒ 125/50
⇒ 2.5
Next, we convert the decimal to a percentage by multiplying it by 100 and adding the percent symbol:
⇒ 2.5 x 100
⇒ 250%
So, 125 is 250% of 50. This means that 125 is equal to 250% of the value of 50.
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Find x AND the length of each side if ABC is an isosceles triangle with AB = BC . (Answers Rouen to the nearest tenth if needed)
Answer:
x = 7
AB = 7
BC = 7
Step-by-step explanation:
AB = BC cuz it's an isosceles triangle
In the given isosceles triangle x is 7 units and AB ≅ BC is also of 7 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
As the triangle has two equal sides we can equate two expressions to find x.
∴ 2x - 7 = 4x - 21.
- 2x = - 14.
2x = 14.
x = 7.
AB = 2(7) - 7.
AB = 14 - 7.
AB = 7.
BC will also be of 7 units as AB ≅ BC.
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answer the question for z
Answer: The answer is z=mn/(m–n), Abhlnav, did you see the question that has been deleted? It’s because it’s a language about Polish.
Step-by-step explanation: Solve the rational equations by combining the expressions and isolating the variable of Z.
which statement about 4x-5 is true??????
A. there are two variables in 4x - 5
B. 5 is the coefficient of x
C. 4x is a term in 4x - 5
D. 4x - 5 is a product
Find the slope of every line that is perpendicular to the graph of the equation:
y-5x=7
Answer:
[tex]m=-\frac{1}{5}[/tex]
Step-by-step explanation:
what is 2 x 8 x 10987
Answer:
175792
Step-by-step explanation:
8 x 2 = 16
16 x 10987 = 175792
can u pls help me with this question
Answer:
19
Step-by-step explanation:
57 divided by 3 is 19
Answer:
57 divided by 3 is 19
Step-by-step explanation:
A glass is 1/3 full. Then 75cm of orange juice is poured in.
The glass is now full. What is the total volume of the glass?
Answer:
5
Step-by-step explanation:
Karen will spend more than $25 on gifts. So far, she has spent $14. What are the possible additional amounts she will spend?
Use for the additional amount (in dollars) Karen will spend.
Write your answer as an inequality solved for c .
Answer:
i say it is 1.78 because you are didving the sum and the prat
Step-by-step explanation:
Enter a numerical expression for the word expression.
the difference between 77 and 16
Answer: 61
Step-by-step explanation: To find the difference means to subtract. 77 - 16 = 61
The expression 18a-12 factored is
Answer:
6(3a-2)
Step-by-step explanation: Both terms have a 6. Factor that our