Answer:
0.77% increase per year
Step-by-step explanation:
total % increase in the number of college students between 1990 and 2000:
= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%
average rate of increase per year:
1.07971 = (1 + r)¹⁰
¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰
1.007699 = 1 + r
r = 1.007699 - 1 = 0.007699 = 0.77% increase per year
In the number 3.072 the digit 7 is in the ? place and the digit 2 is in the ? place.
Answer:
7= Hundredths
2=Thousandths
The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.
Given that,
In the number 3.072 the digit 7 is in the place and the digit 2 is in the is to be determined.
Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
Here,
Given decimal value = 3.072
Where after the decimal point 0 is at tenth position, 7 is at hundredth position and 2 is at thousandth positions.
Thus, The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.
Learn more about decimal values here,
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explain BRAINLIEST PLZ HELP!!!!100. Given B(-4,-6), under which reflections is B'(4,6)?
a. reflected in the x-axis
b. reflected in the origin
c. reflected in the y-axis
d. reflected in the line y=x
Under b. reflected in the origin B(-4, -6) would be B'(4, 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Point B(-4, - 6) is given lies on the third quadrant.
Now, If we reflect along y = x it would be (- 6, - 4).
But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).
learn more about transformations here :
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Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}
Answer:
−2 ∉ {−6,−3,−5,−1}
Step-by-step explanation:
Given
Set = {−6,−3,−5,−1}
Element = -2
Required
The interpretation of the question is to state if -2 is an element of the given set or not
The first thing to do is to check through the set to count the number of occurrence of -2
Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0
This implies that -2 is not an element of the given set and this is represented by the symbol ∉
Hence:
−2 ∉ {−6,−3,−5,−1}
Solve 7b = 91
Please answer
Answer:
13
Step-by-step explanation:
Divide both sides by 7 so the multiplication cancels out.
Answer:
To get b you’ll have to divide 91 by 7
b=91/7
b=13
Step-by-step explanation:
I hope it helped you, please give me brainliest
Find the value of x
x = 10.4 (1dp)
Step-by-step explanation:
Using Pythagoras' theorem, a^2 = b^2 + c^2 where a is the hypotinues; b and c is the two sides
a^2 = b^2 + c^2
12^2 = 6^2 + x^2
144 = 36 + x^2
x^2 = 144 - 36
x^2 = 108
x = _/108
x = 10.4 (1dp)
Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)
Answer:
Answer by Yi Jing
Step-by-step explanation:
The length of each side of a square was increased by 6 inches, so the perimeter is now 52inches. What was the original length of each Side if the square?
Answer:
7
Step-by-step explanation:
6×4=24
52-24=28
28÷4=7
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I gotchu all. Download the file and read what's inside I hope it makes you feel better if you're having a bad day :>
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Input the equation of the given line.
The line including (4, 7) and (0, 7).
Answer:
[tex]y=7[/tex]
Step-by-step explanation:
First, let's use the two given points to find the slope. Remember the slope equation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{7-7}{0-4}[/tex]
[tex]m=\frac{0}{-4}[/tex]
[tex]m=0[/tex]
If we're following slope-intercept form, what we have so far is
[tex]y=0x+b[/tex]
Substitute one of the given points for the [tex]x[/tex] and [tex]y[/tex] values in order to find [tex]b[/tex]:
[tex]7=0(4)+b[/tex]
[tex]7=b[/tex]
Now, if we put that back into our slope-intercept equation we get
[tex]y=0x+7[/tex]
or,
[tex]y=7[/tex]
Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.
I hope this helps!
Plot the points on your graph paper to answer the question.
Are the paired points in a proportional relationship?
Drag and drop the correct answer into the box.
The paired values Response area in a proportional relationship.
Answer:
its are
Step-by-step explanation:
Answer:
The paired values are in a proportional.
Step-by-step explanation:
Hope it helps! :)
Evaulate and solve for the variable !
-2x + 3x - 5 = 6 - 21
Answer:
x = - 10
Step-by-step explanation:
Step 1:
- 2x + 3x - 5 = 6 - 21 Equation
Step 2:
x - 5 = - 15 Combine Like Term
Step 3:
x = - 15 + 5 Add
Answer:
x = - 10
Hope This Helps :)
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
Answer: Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
The options are:
a. Very likely; recurring debt is less than what is allowed.
b. Somewhat likely; recurring debt is equal to what is allowed.
c. Not likely; recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.
Annual salary = $37,580
Car loan payment annually = $265 × 12 = $3180
Annual student loan= $120 × 12 = $1440
Annual loan payment will be:
= $3180 + $1440
= $4620
Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.
Answer:
c. Not likely; recurring debt is higher than what is allowed.
Step-by-step explanation:
got it right
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol
Answer:
1. A
2. B
3. A
4. B
5. A
Step-by-step explanation:
Edge 2022
Answer:
A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not changeExplanation: Correct on Edg 2020.
please help me!!!!!!!!!!
Answer:
HFHBEHFBHEHHEHHHHH
Step-by-step explanation:
Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05. If you drew one card from a standard deck, would it be "unusual" to draw a 6?
Answer:
No it's not unusual
Step-by-step explanation:
That's an unusual definition for unusual if you don't mind me saying so.
There are 4 sixes in a standard deck of cards without the jokers. There are 52 cards in that deck
4/52 = 0.077
This is greater than 0.05 so it is not unusual.
Let's add the 2 jokers and see what happens.
4/54 = 0.074
That's still not going to get the situation defined as unusual.
Three students attempt to define what it means for lines lll and mmm to be perpendicular.
Can you match the teacher's comments to the definitions?
Please find diagram attached
Answer and explanation:
Perpendicular lines are lines that meet at 90 degrees/ right angle.
The question seems to be incomplete but I will explain what perpendicular lines are in the context of lines lll and mmm, with some assumptions about the lines.
Assume that line III is 30mm long and line mmm is 25mm long, we say that line III is perpendicular to line mmm if line III meets line mmm at 90 degrees as we see in the diagram attached.
What’s the approximate value of a $12,000 car after 1 year?
Answer:
i think the aswer s 60,000
Step-by-step explanation:
HELP ME PLEASEE ASAPAPAP PLEASE PLEASE PLEASE PLEASE!!!!!!!!!!!
Answer: AEC = 80
X=30
YW ;)
How many integers between 27 and 53 have a remainder of 4 divided by 6
Answer:
There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.
Step-by-step explanation:
At first we need to find which integers between 27 and 53 are divisible by 6, which are, respectively:
[tex]A =\{30, 36, 42, 48\}[/tex]
All integers that have a remainder of 4 divided by 6 are found by summing 4 to each element of A, that is:
[tex]A' = \{34,40,46, 52\}[/tex]
There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.
Which of the following pairs of functions are inverses of each other?
Answer:
The answer is (B).
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]
g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3
B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]
g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)
Use the power property to rewrite log3x9.
Answer:
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]\log _3\:x^9[/tex]
now rewriting the expression
[tex]\log _3\:x^9[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=9\log _3\left(x\right)[/tex]
Therefore,
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Answer:
B
Step-by-step explanation:
edge
Are 12:14 and 60:70 equivalent ratios?
yes
no
Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
PLS ANSWER FAST ITS DUE IN 10 mins DO NOT ANSWER IF YOUR NOT SURE ALSO I WILL MARK BRAINLIEST
Answer: The answer is
-1/3 > -0.5
Step-by-step explanation:
1/3 written as a decimal is -0.333333, which is more than -0.5, Hope this works :)
Twice a number x minus 18
Step-by-step explanation:
Here is the answer...
Hope this helps you
3x+14=2(2x-3), steps to solve
Answer:
20
Step-by-step explanation:
3x+14=2(2x-3)
3x+14=4x-6
3x-4x=-6-14
-x=-20
X=20
So the valueof X is 20
What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, and divided by 3 leaves a remainder of 2?
Answer:
59
Step-by-step explanation:
If a number is divided by [tex]n[/tex] and leaves a remainder [tex](n-1)[/tex], then the number [tex](n+1)[/tex] will be completely divisible by [tex]n[/tex].
Therefore, when we say a number [tex]x[/tex], when divided by 6, it leaves a remainder 5, then ([tex]x+1[/tex]) will be a multiple of 6.
When we say a number [tex]x[/tex], when divided by 5, it leaves a remainder 4, then ([tex]x+1[/tex]) will be a multiple of 5.
When we say a number [tex]x[/tex], when divided by 4, it leaves a remainder 3, then ([tex]x+1[/tex]) will be a multiple of 4.
When we say a number [tex]x[/tex], when divided by 3, it leaves a remainder 2, then ([tex]x+1[/tex]) will be a multiple of 3.
So, [tex]x+1[/tex] is a common multiple of 3, 4, 5 and 6.
Taking LCM of 3, 4, 5 and 6, we get 60.
So, the number 60 - 1 = 59 is the least such number.
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
Answer:
The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.
First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.
Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.
Finally, we know <2 is equal to <7 because of the transitive property.
Answer:
Here's the sample response!!
Step-by-step explanation:
Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.
Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?
Answer:
Step-by-step explanation:
4000*1/10= $400
at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2
Answer:
Step-by-step explanation:
2/5, 19/20) and (1/3, 11/12) in slope-intercept form? ... B. y = 1/2x + 3/4 ... D. y = 3/4x + 1/2 ... [tex]3}^{2}x = \frac{1}{?27} [/tex]find x.