Answer:
7/8
Step-by-step explanation:
If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?
Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years
Complete the square for the following expression
and write the resulting expression as a binomial squared.
x² + 8x +_____=(_____)^2
Answer:
16, x+4^2
Step-by-step explanation:
To find the perfect square with an A factor of 1, just double the next number.
How many liters are in 260 ounces?
Answer:
7.68912
Step-by-step explanation:
AM = 5x - 2 and MB = 2x + 19, Find the length of AB
Answer:
The answer would be: -0.01
Step-by-step explanation:
1) State what is given
AM = 5x -2 and MB = 2x +19
2) Make an equation that can satisfy the problem
AM + BM = AB
This is the equation, because if I am to put this on a line,
A M B
-_____________-_____________-
You can see that is you combine the lengths AM and BM you can find the total length of AB.
A M + M B
-_____________- + -_____________-
(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)
3) Substitute
(5x - 2) + (2x + 19) = AB
4) Now Solve!
5x - 2 + 2x + 19 = AB
(Rearrange to combine like terms)
5x + 2x + 19 - 2 = AB
7x + 17 = AB
(That is your equation to find AB! But they want the specific length)
So...
We solve it!
7x = -17
(By moving the 17 to the other side of the = sign, it becomes negative)
7x = -17
7 7
(Dividing both sides by 7 in order to get x alone)
x = -2.43
(I rounded to the hundredths place)
Now substitute that into x into you original equation)
5(-2.43) - 2 + 2(-2.43) + 19 = AB
-12.15 - 2 - 4.86 + 19 = AB
-14.15 - 4.86 + 19
-19.01 + 19 = -0.01
= -0.01
(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)
(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)
Help please I’m so confused lol
Answer:
13
Step-by-step explanation:
Just substitute the x with a 4
4² - 4 + 1
16 - 4 + 1
12 + 1
A board 60 in long is cut into two parts so that the longer piece is 5 times the shorter. What are the two lengths of the two pieces ?
The shorter piece is _____ a° in
the longer piece is _____a° in
Answer:
Longer piece: 50 in
Shorter piece: 10 in
Step-by-step explanation:
Lets make the shorter piece = x
Leta make the longer piece = 5x
Since the longer piece is 5 times the shorter, this is why we put 5x, because 5 times the shorter. We also have to find the two lengths of the pieces which in total equals 60 in.
x + 5x = 60 in
If we substitute the x to 10:
10 + 50 = 60 in
10 in = shorter length
50 in = longer length
2. The set of whole number from 1 to 20
Set C = all the even numbers
Set D = all the multiples of 4
Answer:
c:2,4,6,8,10,12,14,16,18,20
Step-by-step explanation:
set d:4,8,13,15,20
What is 6 1/2 doubled?
Answer:
13
Step-by-step explanation:
6 1/2 x 6 1/2
or
6.5 + 6.5 =13
6+6=12
0.5 + 0.5=1
12+1=13
the double of 6 1/2 is 26/2, which simplifies to 13
To find the double of 6 1/2, we first convert the mixed number 6 1/2 to an improper fraction. We multiply the whole number (6) by the denominator (2), which gives us 12. Then, we add the numerator (1) to get 13. So, 6 1/2 as an improper fraction is 13/2.
To double this fraction, we multiply the numerator (13) by 2, resulting in 26. The denominator remains the same (2). Therefore, the double of 6 1/2 is 26/2, which simplifies to 13. In other words, doubling 6 1/2 gives us the whole number 13.
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1. Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings. Graph how
much money, y, he has after x hours of babysitting
Step 1:
Step 2
Step 3:
The required expression for the Digo earning is y = 10x and the graph of the expression is shown.
Given that,
Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let the hours of babysitting be x,
According to the question,
Hourly rate is $10 for x hour the total charge is,
y = 10x
Thus, the required expression for the Digo earning is y = 10x and the graph of the expression is shown.
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How far apart are parallel lines m and n such that T (ΔXYZ) = (Rn ∘ Rm)(ΔXYZ)?
Answer:
Parallel lines m and n are 6 units apart
Step-by-step explanation:
Respuesta de la expresión 5 + {4 * 6÷3+1+ [3-(4-8) + (3-2)] }
Answer:
Vota Trump
Step-by-step explanation:
Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356
If a town with a population of 5,000 doubles in size every 60 years, what will the population be 120 years from now?
Answer:
The population in 120 years will be 15,000.
Step-by-step explanation:
5,000 --> Now
10,000 --> In 60 years
15,000 --> In 120 years
You're welcome!
Answer:
The towns population in 120 years would be 10,000
Step-by-step explanation:
120÷60=2
5,000 x 2 = 10,000
Solve for x: 13x + 12] = 18
O = x
X = 2, X = -10
O x = 2, x = -2
O x = 10, x = -10
X = -2, x = 10
Answer = x= 0
Step-by-step explanation:
These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals
Answer:
A. (the vertical scale)
2nd part is the Bottom graph
Step-by-step explanation:
Answer:
A. The Vertical Scale
Step-by-step explanation:
the other one has more value than the other....And i got it right from
---------------------------------------E D G E N U I T Y 2 0 2 0--------------------------------------
hope this helps. :P
what is 13,899 rounding to the thousands
Answer: 14,000
...............................
Answer:
Step-by-step explanation:
round 13,899 to the nearest thousands which would be
14,000
A bicyclist at White’s 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
Answer:
280 minutes.
Step-by-step explanation:
112/14=8
8*35=280
Two supplementary angles. One angle is 25 more than the second angle, find the measure of the second angle. The measure of the second angle is
Answer:
77.5°
Step-by-step explanation:
Let s represent the measure of the second angle. Then the first angle is s+25. These two angles are supplementary, so their sum is 180:
(s+25) +s = 180
2s = 155
s = 77.5
The measure of the second angle is 77.5°.
Simplify the following expressions ?
-9x+9x^2+8x^2+4x
Answer:
-5x+17x^2
Step-by-step explanation:
Hope that helps good luck
9514 1404 393
Answer:
17x^2 -5x
Step-by-step explanation:
"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.
-9x+9x^2+8x^2+4x
= 9x^2 +8x^2 -9x +4x
= x^2(9+8) +x(-9+4)
= 17x^2 -5x
Which fractions are equivalent to 3/5 Check all that apply.
Answer:
12/20 21/35 30/50
Step-by-step explanation:
These are all equivalent fractions to 3/5.
Hope this helps!
The fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.
To determine which fractions are equivalent to 3/5, we need to find fractions that can be simplified to the same value.
The fraction 3/5 cannot be simplified further because 3 and 5 have no common factors other than 1.
Let's check each option:
A) 8/10 can be simplified to 4/5, which is not equivalent to 3/5.
B) 8/15 cannot be simplified further, but it is not equal to 3/5.
C) 12/20 can be simplified to 3/5, which is equivalent to 3/5.
D) 21/35 can be simplified to 3/5, which is equivalent to 3/5.
E) 30/50 can be simplified to 3/5, which is equivalent to 3/5.
Therefore, the fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.
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What is the solution to the system of equations graphed below
Y=2x-7 y=-x-1
The value of the common solution to the system of equation is (2,-3).
What is System of Equation?The system of equation is set of equations which have a common solution.
The figure shows the graph of two equations, these equations are a straight line function and the common solution is represented by a point in the image.
The solution of the system of equation can be obtained both by solving using substitution method and even by plotting the graph and finding the intersection point.
The system of equation is,
y = 2x - 7
y = -x -1
The value of y from equation 2 will be substituted in equation 1
-x -1 = 2x -7
3x = 6
x = 2
Substituting this value in equation 2
y = -2 -1
y = -3
The value of (x,y) is (2,-3)
The graph is plotted and the intersection of the line is at (2,-3)
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Answer:
The answer is (2,-3)
Step-by-step explanation:
What is the translation for this graph?
Answer:
It's the second option
Step-by-step explanation:
The x moves over to the right for a positive 3
The y moves up for a positive 4.
Hope this helps! :)
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
2.5 miles
Step-by-step explanation:
We know that: time = distance/speed
Now, if the distance of the school from Jonathan's home is y.
At speed of 15 mph, Jonathans time is; time = y/15 hours
At 25 mph, his mother's time was;
time = y/25 hours
We are told that Jonathan was 1 mile from home when he saw his mother.
Thus means that difference in time is;
Time difference = 1/15 hours
Thus;
y/15 hours - y/25 hours = 1/15 hours
Multiply through by 75 to get;
5y - 3y = 5
2y = 5
y = 5/2
y = 2.5 miles
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function
A:function only
B:Relation only
C:Neither function nor relation
D:Function and relation
Answer:
C:Neither funtion nor relation
C:Ni función ni relación
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
relation only
Step-by-step explanation:
A relation is a set of one or more ordered pairs.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.
Any vertical line drawn where x > -4 will cross the graph in more than one place.
Therefore, the graph is not a function, it is a relation only.
Harvey has 514 stamps. He places an equal number of stamps in 3 stamp books. How many stamps are in each book? Are there any stamps left over
8-3 is even or odd ammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
ummmm... odd
Step-by-step explanation:
Odd
Because if you try to multiply it would be it nothing would be equal to 8
which function has an inverse that is also a function?
Answer:
I think its the first one
The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).
What is an inverse function?An inverse function refer to a function which alter or cause changes to other function given.
Therefore, The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).
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In a geometric series
If a1=6 and r=5 find s9
Answer:
I have no idea how to solve that but can you teach me how !
PLEASE HELP WILL GIVE BRAINLIEST PLSSSSS
Answer:
c
Step-by-step explanation:
-54 over 9=
can I have help
Answer:
-54 over 9= -6