Answer:
A = $446,068.00
Step-by-step explanation:
A = $446,068.00
I = A - P = $88,068.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8.2%/100 = 0.082 per year.
Solving our equation:
A = 358000(1 + (0.082 × 3)) = 446068
A = $446,068.00
The total amount accrued, principal plus interest, from simple interest on a principal of $358,000.00 at a rate of 8.2% per year for 3 years is $446,068.00.
a) Solve x² + 4x - 8 = 0 by completing the square
Answer:
x = 2 + 2i, x = 2 - 2i
Step-by-step explanation:
[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]
Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6
Answer:
Y = 3x - 6
Step-by-step explanation:
- 3y = -9x + 18
divide by -3
y = 3x - 6
HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]
= [tex]\frac{7-1}{3+3}[/tex]
= [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{3}[/tex]
Answer:
To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3), 6 / 6, the slope is 1
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Answer:
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Step-by-step explanation:
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
The lines A and B are parallel. Identify a pair of corresponding angles?
Answer:
2 and 5............................
Answer:
Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)
Step-by-step explanation:
Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.
a) What is the equation of line A?
b) What is the equation of line B?
Answer:
Line A is x = -3
Line B is y = 2.5
Step-by-step explanation:
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
What is the slope of the line?
- 1 / 4
- 8 / 17
- 4
- 6
Answer: The slope of the line = 4.
Step-by-step explanation:
We know that ,
Slope of a line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here , the line passes through points (2,18) and (8,42).
Then the slope of the given line = [tex]\dfrac{42-18}{8-2}[/tex]
[tex]=\dfrac{24}{6}=4[/tex]
Hence, the slope of the line = 4.
Answer:
4
Step-by-step explanation:
i took the test and got it right
a soup recipe calls for 1 1/2 quarts of vegetable broth and 3/4 quart of chicken broth. what is the total number of cups of chicen broth and befetable broth needed for yhe soup revipe?
Answer:
2 3/4 - 1/2 = 2 6/8 - 4/8 = 2 2/8 = 2 1/4
Step-by-step explanation:
Someone help me with this, please! i’ll mark u as brainlist
Answer:
x = 8
Step-by-step explanation:
2x + 5 = 21
-5 -5
2x = 16
2x/2 = 16/2 ( divided 2 on both sides)
you get x= 8
to check your work, replace x with 8 in the equation
2 x 8 + 5 = 21 ( don't forget PEMDAS!!)
16 + 5 = 21
I need help what r these coin?
Answer:
those are called quarters
Answer:
Well Caden has 3 quarters (which . 75 cents since they are .25 cents a piece ), he also has a dime, (which is .10 cents ) and also a nickel. ( which is .5 cents)
Caden: .75+.10+.5= $1.00
Eden has a quarter (.25 cents), 2 dimes (.20 cents) and 2 nickels ( .10 cents )
Eden : .25+.20+.10= .55 cents
Harper has 2 quarters (.50 cents), 2 dimes ( .20 cents) and 2 nickels( .10 cents)
Haper: .50+.20+.10= .80cent s
Step-by-step explanation:
I hope this helps and if it does please mark me the brainliest! Peace and love
complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Amanda has four plastic shapes, a circle, a square, a triangle, and a pentagon, In how many ways can she lineup the four shapes if the circle cannot be next to the square
Do NOT have an explanation that isn't just writing all the combinations of shapes.
====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
--------------------------
Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
Please please please hellllllppp meeeeee !!!!!!!!!
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 278 279 185 299 245 281 291 234 278 227 281
Answer:
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueStep-by-step explanation:
First of all, we will sort the data.
185 227 234 245 278 278 279 281 281 291 299
Mean:
Mean is defined as the sum of values divided by the number of values.
n = 11
[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]
Median:
As the number of values is odd,
The median will be:
[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]
The 6th value is 278
Median = 278
Mode:
Mode is the most frequent value in a data set.
In the given dataset,
278 and 281 are modes as both are repeated twice
Mid-range:
Mid-range is the average of maximum and minimum value
So,
Min = 185
Max = 299
So,
[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]
Hence,
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueDaryl has 7 hats. David has h times more hats than Daryl. How many hats does David
have?
for 10 points!!
Answer:
David has 7h hats
Step-by-step explanation:
Daryl: 7
David: 7h
Which expression is equivalent to (-7-4i)(6+7i)?
Answer:
Step-by-step explanation:
-14 - 73 i
Answer:
-28i^2-73i-42
Step-by-step explanation:
(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)
= −42−49i−24i−28i^2
= -28i^2-73i-42
−k+2(−2k−5) please help me
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 (-2k - 5)
-k - 4k - 10
-5k - 10
Answer:
-K+2(-2K-5)
-K-2K-10
-3K=10
K= 10÷(-3)
K=-3.333333
Suppose we have universal set U. What does it mean to say that X is a subset of U?
Answer:
All of the elements of X are elements of U.
Step-by-step explanation:
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
the answer below thanks
Answer:
The equation of the circle having centre (-5,-9) and radius r=3 is
x² + 10 x +y² + 14 y + 65 = 0
Step-by-step explanation:
Explanation:-
From graph The centre of the circle C( -5 , -7)
The radius of the circle r = 3cm from the centre of the given circle
The equation of the circle
From graph the centre ( h, k) = ( -5,-7) and r = 3cm
[tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]
x² + 10 x +25 +y² + 14 y + 49 =9
x² + 10 x +25 +y² + 14 y + 49 -9=0
The equation of the circle
x² + 10 x +y² + 14 y + 65 = 0
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))
Answer:
1. Steve's age is 18 and Anne's age is 8.
2. Max's age is 17 and Bert's age is 11.
3. Sury's age is 19 and Billy's age is 9.
4. The man's age is 30 and his son's age is 10.
Step-by-step explanation:
1. Let us assume that:
S = Steve's age now
A = Anne's age now
Therefore, in four years, we have:
S + 4 = (A + 4)2 - 2
S + 4 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we have:
S - 3 = (A - 3)3
S - 3 = 3A - 9 ................................ (2)
From equation (2), we have:
S = 3A - 9 + 3
S = 3A – 6 …………. (3)
Substitute S from equation (3) into equation (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into equation (3), we have:
S = (3 * 8) – 6
S = 24 – 6
S = 18
Therefore, Steve's age is 18 while Anne's age is 8.
2. Let us assume that:
M = Max's age now
B = Bert's age now
Therefore, five years ago, we have:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (4)
A year from now, we have:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30 .......................... (5)
From equation (5), we have:
M = 30 – 2 – B
M = 28 – B …………………… (6)
Substitute M from equation (6) into equation (4) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
Substituting B = 11 into equation (6), we have:
M = 28 – 11
M = 17
Therefore, Max's age is 17 while Bert's age is 11.
3. Let us assume that:
S = Sury's age now
B = Billy's age now
Therefore, now, we have:
S = B + 10 ................................ (7)
Next year, we have:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (8)
Substituting S from equation (7) into equation (8) and solve for B, we have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (7), we have:
S = 9 + 10
S = 19
Therefore, Sury's age is 19 while Billy's age is 9.
4. Let us assume that:
M = The man's age now
S = His son's age now
Therefore, now, we have:
M = 3S ................................... (9)
Five years ago, we have:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (10)
Substituting M from equation (9) into equation (10) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (9), we have:
M = 3 * 10
M = 30
Therefore, the man's age is 30 and his son's age is 10.
There are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?
ANWSER:
STEP BY STEP EXAMPLE:
Answer: 22
Step-by-step explanation: 65 divided by 3 is 22
Answer:
21or22
Step-by-step explanation:
65/3
Of the factors of 12 shown, which also have a sum of 7?
A: 12,1
B: 2,6
C: 3,4
Which situation represents a non-proportional relationship?
The cost of purchasing p pounds of salmon for $7.99 per pound.
The amount a student makes mowing m number of lawns charging $35 per lawn.
The amount of water draining at a rate of 2.5 gallons per minute.
The total cost of renting a jet ski for $25 per hour plus a fee of $50.
Answer:
Correct option:
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
Step-by-step explanation:
Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".
The first three options represents a proportional relationship.
But the last option does not.
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
That is,
TC = 25·h + 50
The relationship is linear not proportional.
7 c = ___qt??????????????
Answer:
1.75qt
Step-by-step explanation:
Answer:
The basketball travels in a parabolic route in order to engage in the passage through the net.
Step-by-step explanation:
Find the value of angle GFD.
Group of answer choices
24
58
34
122
Answer:
∠GFD = 58°Step-by-step explanation:
∠F = 180 - 24 - 34
∠F = 122
∠GFD = 180 - 122
∠GFD = 58°
in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Draw a scaled copy of the circle
using a scale factor of 2.
How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?
Answer:
the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps
Step-by-step explanation:
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the radius of the circle = r
The circumference of the circle = 2πr
The area of a circle = πr²
Now,
Scale factor = Original circle / Scaled circle
Now,
Scale factor = 2
2 = Circumference of the Original circle / Circumference of the Scaled circle
Circumference of the Scaled circle = (1/2) Circumference of the Original circle
Again,
Scale factor = 2
2 = Area of the Original circle / Area of the Scaled circle
Area of the scaled circle = (1/2) Area of the original circle
Thus,
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
Learn more about scale factors here:
https://brainly.com/question/20759556
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evaluate each expression |-16| - |4|