Maturity Value: 9,159.08
Interest: 1,359.08
What is the equation of the circle?
Step-by-step explanation:
The equation of a circle is
[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
Where (h,k) is the center and
r is the radius.
Here the center is (-9,10).
To find the radius, find the distance from the center to a point on the circle.
So find the distance between (-9,10) and (-9,7).
[tex]r = \sqrt{(( - 9 - ( - 9) {}^{2} + (10 - 7) {}^{2} } [/tex]
[tex]r = \sqrt{0 + 9} [/tex]
[tex]r = \sqrt{9} [/tex]
[tex]r = 3[/tex]
So the radius is 3 so we plug in
[tex](x - ( - 9) {}^{2} + (y - 10) {}^{2} = {3}^{2} [/tex]
[tex](x + 9) {}^{2} + (y - 10) {}^{2} = 9[/tex]
Answer:
○ [tex]\displaystyle (x + 9)^2 + (y - 10)^2 = 9[/tex]
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.
I am joyous to assist you at any time.
Write Down 3 numbers where the following are true:the total of the three numbers is 20.The product of the three numbers is 90
Answer:
1, 9 and 10.
Step-by-step explanation:
Let the 3 numbers be x, y and z, then
x + y + z = 20
xyz = 90
Assuming the numbers are whole numbers lets find the prime factors of 90:
90 = 2*3*3*5
So we need to combine these factors to fit the 2 eqautions.
Now 90 = 9 * 10
= 1 * 9 * 10
If we include 1 as one of the 3 numbers then 1, 9 and 10 will fit the bill.
Answer 1, 9 and 10
Find the value of X.
Answer: 23
Step-by-step explanation:
56783÷100=
please give answer pl
The vertex -x^2 - 2x + 8
General form of a quadratic equation: [tex]ax^2+bx+c[/tex]
⇒ since the equation: [tex]-x^2-2x+8[/tex]
⇒ so:
a = -1b = -2c = 8To calculate the x-coordinate of the vertex
⇒use x = [tex]-\frac{b}{2a}[/tex] <--- this is a property that helps you find the vertex of the
quadratic
x = [tex]-\frac{(-2)}{2*(-1)} =-1[/tex]
Since x = -1:
⇒ we can plug in this x-value into the original equation to find the y-
value
[tex]y =-(-1)^2-2(-1)+8=-1+2+8=9[/tex]
So the coordinate of the vertex: (-1,9)
Hope that helps!
write an expression for ''the number of pieces
in three pack of mint gum.
Answer:
yellow blue green gray black white
What is the five-number summary of this data set?
{403, 276, 649, 786, 274, 189, 654, 652, 572}
Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
(choices)
189 274 275 276 572 652 653 654 786
Answer:
Minimum: 189
Q1: 275
Q2: 572
Q3: 653
Maximum: 786
Step-by-step explanation:
I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is late.
Answer:
Minimum: 189
Q1: 275
Q2: 572
Q3: 653
Maximum: 786
Step-by-step explanation:
I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is
Brainleist
help pls
10 points
Answer:
[tex]m \angle A = 100 \degree[/tex]
Step-by-step explanation:
Given:
[tex]m \angle A= (x-60) \degree \\ m \angle B= (x-40) \degree \\ m \angle C= 130\degree \\ m \angle D= 120\degree \\ m \angle E= 110\degree \\ m \angle F= (x-20) \degree[/tex]
Also, the given diagram is a perfect hexagon, having sum of all interior angles 720°
To find:
[tex]m \angle A= ?[/tex]
Solution:
[tex] \sf \: Sum \: of \: all \: interior \: angles = 720 \degree \\ \sf \: m \angle A + m \angle B + m \angle C + m \angle D + m \angle E + m \angle F = 720 \degree\\ \sf \: (x - 60) + (x - 40) +130 + 120 + 110 + (x - 20) = 720 \degree \\ \sf \: 3x - 120 + 120 + 240 = 720 \\ \sf 3x - \cancel{120}+ \cancel{120} + 240 = 720 \\ \sf 3x = 720 - 240 \\ \sf 3x = 480 \\ \sf x = \frac{480}{3} \\ \fbox{\sf x = 160 \degree}[/tex]
Substituting the value of x in,
[tex]m \angle A= (x-60) \degree \\ m \angle A= 160-60 \\ m \angle A = 100 \degree[/tex]
Thanks for joining brainly community!
Answer:
the answer is 100
Step-by-step explanation:
Prism X is a dilation of Prism Y. The height of Prism X is 10 1/3 ft, and the volume of Prism X is 74 2/5 ft³. The height of Prism Y is 5 1/6 ft.
What is the volume of Prism Y?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
The volume of Prism Y which is dilated to form prism X is 981 1/3 ft³
Easy math pls help quick will give brainlest
Answer:Easy math pls help quick will give brainlest
Easy math pls help quick will give brainlest
Easy math pls help quick will give brainlestStep-by-step explanation:
is your correct answer
PLEASE HELP WILL MARK BRAINLIEST!!!
Which fraction has a value that's equal to 3/4?
A. 12/12
B.4/3
C. 12/16
D. 9/16
Answer:
C. 12/16
Step-by-step explanation:
If you multiply both the numerator AND the denominator by four you end up with the equivalent fraction of 12/16.
Ryan is working on his first budget. He has placed all of the fixed expenses on the budget shown and then would like to use the information to evaluate his variable expenses. Ryan's take-home pay is 2,500 each month. Complete the table below the answer the questions below.
please help me
complete the table and answer the four questions below if you tell me how to do I'll be happy to mark you brainlest!!!
1) what percent of his monthly budget do his transport costs account for?
2) what percent of his monthly budget has he accounted for?
3) Ryan would like to save 10% of his take-home pay towards retirement. How much would he be able to save each month?
4) Assume that Ryan does save 10% for retirement. If he allocates the remainder of his take-home pay to entertainment compromise of the total monthly budget? How much will be budgeted towards entertainment?
The percent of his monthly budget that his transport costs account for will be 17.8%.
How to calculate the percentage?The percent of his monthly budget that his transport costs account for will be:
= 325/(800 + 450 + 125 + 325 + 125) × 100
= 325/1825 × 100
= 17.8%
The percent of his monthly budget has he accounted for will be:
= 1825/2500 × 100
= 73%
When he saves 10% of his take-home pay towards retirement, the amount saved will be:
= 10% × $2500
= $250
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The percent of Rayan's monthly budget that his transport costs account for will be 17.8%.
1. The proportion of his monthly budget that his transit expenses make up is:
= 325/(800 + 450 + 125 + 325 + 125) × 100
= 325/1825 × 100
= 17.8%
The proportion of his monthly budget that he has already accounted for is:
= 1825/2500 × 100
= 73%
He will save the following sum for retirement if he sets aside 10% of his after-tax income:
= 10% × $2500
= $250
The answer is $250.
2. To find the percentage of his monthly budget accounted for by transport costs, we add up the amounts for Car Payment and Gas:
$325 + $125 = $450.
Then we calculate the percentage: (450 / 2500) x 100% = 18%. Therefore, his transport costs account for 18% of his monthly budget.
3. To find the percentage of his monthly budget accounted for overall, we sum up all the amounts in the table:
$800 + $450 + $125 + $325 + $125 = $1,825.
Then we calculate the percentage: (1825 / 2500) x 100% = 73%. Therefore, he has accounted for 73% of his monthly budget.
4. To calculate how much Ryan can save each month for retirement, we take 10% of his take-home pay:
10% of $2,500 = $250.
Thus, he can save $250 each month for retirement.
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#SPJ6
1=5-4+3-2-1 pls help me i need to turn this and
Answer:
The answer would be true
Step-by-step explanation:
[tex]1=5-4+3-2-1[/tex]
[tex]1=1+1-1[/tex]
[tex]1=2-1[/tex]
[tex]1=1[/tex]
Which statement is true?
• A.
A sample statistic can never be equal to the population parameter.
O B. Point estimates are defined for both samples and populations.
O C.
To calculate a sample proportion, we
need to know the population size
O D.
To calculate a point estimate, we
need to know the sample size.
To calculate a point estimate, we need to know the sample size.
===========================================================
Explanation:
Let's go through the answer choices.
A) False. A sample statistic could equal to the population parameter. It won't always happen, but it might happen sometimes (in rare cases). B) False. Point estimates are only defined for populations. They estimate a population parameter. For example, the sample mean xbar is a point estimate of the population mean (mu).C) False. In practice, we will hardly know anything about the population. This includes the population size. The goal of statistics is to measure population parameters by using sample statistics as estimation methods.D) True. We can easily calculate the sample size because it is relatively much smaller compared to the population. Plus, when selecting the sample, the sample size is often pre-determined to some set number. The sample size will help us determine things like the sample mean and the sample proportion.what digit is in the one thousands place in 419,287
Answer:
9
Hope This Helps! :)
Answer:
9 is in the thousands place.
NO LINKS!! Please help me with this problem
#GH
[tex]\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow GH=108/2=54[/tex]
#UV
[tex]\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}[/tex]
[tex]\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49[/tex]
#VW
[tex]\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}[/tex]
[tex]\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21[/tex]
FGHIJ ≅ UTSWV
making proportional equations
GH/FG = TS/UTGH/36 = 42/28GH = 54FJ/FG = UV/UT63/36 = UV/28UV = 49IJ/FG = VW/UT27/36 = VW/28VW = 21C
7
24
What is the measure of C
what is the least common denominater of 1/2, 2/3, and 3/8?
Answer:
24
Step-by-step explanation:
2×12 =24
3×8 =24
8×3 =24
The math club needs to raise at least $552.50 for a trip to state
competition. The club has raised 12% of the funds. Members want
to find out how much they each need to raise to make up the
difference.
Which inequality shows how much money each of the 7
club members need to raise if each member raises the same
amount?
A. m < $69.46
B. m > $69.46
C. m < $72.35
D. m > $72.35
ok so they raised 12%
12%=12/100=0.12
12% of 552.5=.12 times 552.5=66.3 was raised
552.5-66.3=486.2
divide by 7
486.2/7=69.457 about 69.46
each member must raise at least 69.46
Given the function f(x) = 2x2 - 27, find f(h +2).
Answer:
f(h + 2) = 2h² +8h - 19
Step-by-step explanation:
f(x) = 2x² - 27
f(h + 2) = 2(h + 2)² - 27
f(h + 2) = 2(h²+4h+4) - 27
f(h + 2) = 2h² + 8h + 8 - 27
f(h + 2) = 2h² +8h - 19
I hope this helps!
PLEASE HELP ME IM LOSIN ALOT OF POINTS
What is the following product?
30 10
O 2010
O 3 V10
4./10
o 10/3
What is the following product?
Square root 30 and square root 10
Answer:
10 sqrt 3
Step-by-step explanation:
sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3
4/8 - 3/10 pa answer ulii
Answer:
1/5
Step-by-step explanation:
4/8-3/10=1/5
what numbers multiplied gives you -70 but added gives you -33
Answer:
-35, 2
Step-by-step explanation:
When you multiply -35*2 you will get -70
When you add a positive number to a negative number you will take the larger number and if it is negative you will add the positive and if it is positive you take away negative so -35+2 will be -33
help plsssssssssssssssssssssssssssssssss
Answer:
I guess it is $105.Not so sure about my answer...
given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle
Note :
sin(x) = cos (90-x)
Therefore,
sin(x-3) = cos(90-(x-3))
90-[x-3] = 2x+6
90-x+3 = 2x+6
3x = 93-6
x = 31-2
x = 29°
someone pls help me i will give brainliest to the first to answer
Answer:
21 and 35
Step-by-step explanation:
21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box
7 times 3 then 7 times 5
julia has 3/4 quart of ice cream. She gives 3/7 of it to her sister. How many quarts of ice cream does JULIA HAVELEFT?
A point with a coordianates plane (-c -d) is shown on the coordinate grid
Ans The answer to the question is ###404 bad gateway Step-by-step explanation:
Rachel was pouring milk into an 8-inch-tall cylindrical container. She used the formula
V = #r?h to calculate the cylinder's volume which Rachel found to be 231 cubic inches of liquid.
What would be the most accurate measurement for the radius of the container of milk?
O 3 inches
O 5 inches
O 9 inches
O 10 inches
The volume of the cylinder container is the amount of milk in it
The most accurate measurement for the radius is 3 inches
How to determine the accurate radius?The given parameters are:
Volume = 231Height = 8 inchThe volume of a cylinder is:
V = πr²h
So, we have:
πr² * 8 = 231
Divide both sides by 8π
r² = 9.19
Take the square root of both sides
r = 3.03
Approximate
r = 3
Hence, the most accurate measurement for the radius is 3 inches
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