Answer:
3.5%
Step-by-step explanation:
Given data
A=$6225
P=$5000
T= 7years
R=???
Simple interest
A=P(1+rt)
substitute
6225=5000(1+7r)
6225=5000+35000r
collect like terms
6225-5000=35000r
1225=35000r
r= 1225/35000
r=0.035
Hence the rate is 0.035*100= 3.5%
If M angle 4=25 degrees, then what is M angle 8? Please help me, I need this done today, and I have tried everything
Answer:
65 degrees
Step-by-step explanation:
The question is not complete but we can assume that m<4 and m<8 are complementary i.e they both act at right angle.
If the both act at right angle, then m<4 + m<8 = 90
Given
m<4 = 25°
Substitute into the formula
m<4 + m<8 = 90
m<8 = 90 - m<4
m<8 = 90 - 25
m< 8 = 65 degrees
Hence the measure of m<8 is 65 degrees
Note that we assumed that both angles acts at right angles
Muffins cost $3.00 per dozen.
Andre says, “I have $2.00, so I can afford 8 muffins.”
Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00
D you agree with either of them? Explain your reasoning.
Answer:
I agree with both of them
Step-by-step explanation:
A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.
We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.
Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.
Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.
50 time 40 please awnser correctly
Answer:
2000
Step-by-step explanation:
50 * 40 = 2000
Answer:
the awnser is 2000 have a nice day
planning a skating party at original charges $19 base free and $7 per person for catered parties you don't want to spend more than $130 write a inequality for the situation and find the maximum people you can invite
Answer: List all of the solutions.
19
=
7
=
130
=
explanation:
Find the area of this circle.
Round your answer to the nearest whole number.
Answer:
About 69cm²
Explanation:
A = d
A = 3.14(22)
A = 69.08
The polynomial n(x) = 3x4 - 9x3 + x2 – 3x has a factor of (x – 3).
Complete each of the 2 activities for this Task.
Activity 1 of 2
Part A: State the number of roots of the polynomial n(x).
A. 2 real roots; 2 complex roots
B. 4 real roots
O C. 3 real roots; 1 complex root
0
D. 1 real root; 3 complex roots
Answer:
Step-by-step explanation:
2 real roots and 2 complex
Following are the solution to the given polynomial equation:
Given:
Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]
Factor: [tex]\bold{(x -3)}[/tex]
To find:
A number of roots for the polynomial n(x).
Solution:
Polynomial equation: [tex]\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}[/tex]
[tex]\to \bold{(x -3)=0}\\\\\to \bold{x =3}\\\\[/tex]
Putting the of x into the given Polynomial function:
[tex]\to \bold{n(3) = 3(3)^4 - 9(3)^3 + (3)^2 -3(3)}\\\\\to \bold{n(3) = 3\times 81 - 9\times 27 + 9 -3 \times 3}\\\\\to \bold{n(3) = 243- 243 + 9 -9}\\\\\to \bold{n(3) = 0}\\\\[/tex]
Let divide the Polynomial function by the factor:
[tex]\to \bold{\frac{3x^4 - 9x^3 + x^2 - 3x}{x-3}}\\\\\to \bold{\frac{ x(3x^3 - 9x^2 + x - 3)}{x-3}}\\\\\to \bold{\frac{ x(3x^2(x - 3)+1(x - 3))}{x-3}}\\\\\to \bold{\frac{ x(x - 3) (3x^2+1)}{x-3}}\\\\\to \bold{x(3x^2+1)}\\\\[/tex]
So, the factors are [tex]\bold{x, (x-3),\ and \ (3x^2+1)}[/tex].
Calculation of the roots:
[tex]\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x-3=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2+1 =0}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2 = -1}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = -\frac{1}{3}}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = (- \sqrt{\frac{1}{3}})^2}\\\\[/tex]
Therefore the final answer is "Option A".
Learn more:
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plz help me with this question.....
Answer:
See Below.
Step-by-step explanation:
The sum of an A.P. is given by:
[tex]\displaystyle S_n=\frac{n}{2}(a+x_n)[/tex]
Where n is the number of terms, a is the initial term, and xₙ is the last term.
Therefore:
[tex]\displaystyle S_{30}=\frac{30}{2}\Big(a+x_{30}\Big)=15(a+x_{30})[/tex]
And likewise:
[tex]\displaystyle S_{20}=\frac{20}{2}\Big(a+x_{20}\Big)=10(a+x_{20})\\\\ S_{10}=\frac{10}{2}\Big(a+x_{10}\Big)=5(a+x_{10})[/tex]
Substitute:
[tex]15(a + x_{30}) = 3(10 (a + x_{20}) - 5(a + x_{10} ))[/tex]
Distribute:
[tex]15a+15x_{30}=30a+30x_{20}-15a-15x_{10}[/tex]
Simplify:
[tex]15x_{30}=30x_{20}-15x_{10}[/tex]
Simplify:
[tex]x_{30}=2x_{20}-x_{10}[/tex]
The nth term for an A.P. is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
So, it follows that:
[tex]x_{30}=a+d(30-1)=29d+a\\ x_{20}=a+d(20-1)=19d+a\\ x_{10}=a+d(10-1)=9d+a[/tex]
Therefore:
[tex]29d+a=2(19d+a)-9d-a[/tex]
Which follows that:
[tex]29d+a=38d+2a-9d-a\\ \\ 29d=29d \\\\ d\stackrel{\checkmark}{=}d[/tex]
QED.
Lynne bought a bag of grapefruit, 1 5_ 8 pounds of apples, and 2 __3 16 pounds of bananas. The total weight of her purchases was 7 1_ 2 pounds. How much did the bag of grapefruit weigh?'
Answer:
3 11/16 pounds
Step-by-step explanation:
Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'
The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas
Let the weight of the grape fruit = x
7 1/2 = x + 1 5/8 + 2 3/16
x = 7 1/2 - (1 5/8 + 2 3/16)
Lowest Common Denominator = 16
x= 7 1/2 - 3 + ( 10+ 3/16)
x = 7 1/2 - 3 + (13/16)
x = 7 1/2 - 3 13/16
Lowest Common Denominator = 16
x= 4 (8 - 13/16)
x = 4 (-5/16)
x = 3 11/16 pounds
Therefore, the bag of grapefruits weighed 3 11/16 pounds
Triangle PQR has the following coordinates:
P(-9, -12)
Q(-6, -13)
R(-7, -4)
Where is Q’ after a translation 9 units right and 11 units up?
Answer:
P(0, -1)
Q(3, -2)
R(2, 7)
Step-by-step explanation:
9 units right : +9 to each x-coordinate
11 units up: +11 to each y-coordinate
P(-9+9, -12+11) = P(0, -1)
Q(-6+9, -13+11) = Q(3, -2)
R(-7+9, -4+11) = R(2, 7)
Water flows through a pipe at a rate of 89 quarts per hour. Express this rate of flow
in cubic meters per month. Round your answer to the nearest tenth.
Answer:
60.6 on delta math
Step-by-step explanation:
The rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.
What is the rate of flow?The rate of the flow of the fluid is defined as the volume of the fluid through a confined space or cross-section in a unit of time. The unit of the rate of flow is gallons per minute or cubic meter per minute.
Given that water flows through a pipe at a rate of 89 quarts per hour the value of the rate of flow in cubic meters per month will be calculated as below:-
1 quartz = ( 1 / 1056.688) cubic meters
1 quartz = ( 89 / 1056.688)
1 quartz = 0.08 cubic meters
1 quartz per hour = 0.08 / ( 24 x 30) cubic meters per month
1 quartz per hour =1.12 x 10⁻⁴ cubic meters per month
Therefore, the rate of the flow will be 1.12 x 10⁻⁴ cubic meters per meter.
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Larry could ______ to make his budget work and afford the ticket.
Answer:
I need the answer choices
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST AND POINTS!!
'C. The sum of four products; there are four terms' is the correct answer
A ______________ is a relation that assigns exactly one output value to one input value
Answer:
A __function__ is a relation that assigns exactly one output value to one input value.
Step-by-step explanation:
Answer:
A function is a relation that assigns exactly one output value to one input value.
The sum of three consecutive even numbers is 318. What is the 1st number?
Answer:
x+x+2+x+4=318
3x+6=318
3x=312
x=104
The first number is 104.
Step-by-step explanation:
========================================================
Explanation:
n = some integer
2n = some even integer
2n+2 = next integer after 2n
2n+4 = next integer after 2n+2
The sequence {2n, 2n+2, 2n+4} represents three consecutive even integers. One follows right after another. A more concrete example of consecutive even integers could be something like {2,4,6} or {8,10,12}. The goal is to find which set like this has their numbers add to 318.
We could guess-and-check our way to the answer. In other words, use trial and error. However, a much more efficient way is to use algebra.
Let's add up the three number expressions of 2n, 2n+2, and 2n+4 to get
(2n)+(2n+2)+(2n+4) = (2n+2n+2n) + (2+4) = 6n+6
The three numbers add to 6n+6
This sum must be 318. Let's set 6n+6 equal to 318 and solve for n
6n+6 = 318
6n = 318-6
6n = 312
n = 312/6
n = 52
-----------------------
If n = 52, then,
first number = 2n = 2*52 = 104second number = 2n+2 = 2*52+2 = 106third number = 2n+2 = 2*52+4 = 108Note the sequence 104, 106, 108 are all even numbers where they follow right after one another. This shows they are consecutive even numbers.
Furthermore, note how,
104+106+108 = 318
which confirms our answer
Can some please help me with this question please I would give brainliest and 5 stars to anyone who answer and plus explain me how to do this on a numbeline and this is an integer question on math
please please❤❤ I AM NOT JOKING I WOULD SERIOUSLY GIVE ANYONE BRAINLIEST ID YOU ANSWER
Answer:
-12degrees Celsius
Step-by-step explanation:
-3+5=2 1:00pm
2-2=0 6:00pm
(10-6=4)
4(3)=12, 0-12=-12 10:00pm
i hope this helps!
Answer:
-12° C
Step-by-step explanation:
Temperature at 8 a.m.: -3° C
From 8 a.m. to 1 p.m. the temperature went up 5° C.
-3° C + 5° C = 2° C
Temperature at 1 p.m.: 2° C
By 6 p.m. the temperature was 2° C colder than at 1 p.m.
2° C - 2° C = 0° C
Temperature at 1 p.m.: 0° C
The temperature decreased 3° C per hour from 6 p.m. to 10 p.m.
From 6 p.m. to 10 p.m., it's 4 hours. The temperature decreased 3° C per hour for 4 hours. 4 * 3° C = 12° C. The temperature went down 12° C altogether from 6 p.m. to 10 p.m.
0° C - 12° C = -12° C
Temperature at 10 p.m.: -12° C
Answer: -12° C
PLEASE HELP ME ITS DUE IN 20 MINUTES ( 30 POINTS )
Candice got a preloaded debit card for her birthday, and she finally knows what she wants to buy with it! She's going to buy a concert ticket for her favorite band, The Whisper Cats. The ticket will cost $128.93 after taxes. After buying the ticket, Candice will have $71.07 left on the card to buy band merchandise at the concert.
Let c represent how much money is on the card. Which equation models the problem?
Solve this equation to find how much money is on the card.
is it add or subtract correct answer get brainliest
Please help tysm!!!!!!!!!
Answer:
The answer is C.
Have a good day!
2
-6
4
2
2
-2-
4
-6-
-8
(a) The function f is increasing over which intervals? Choose all that apply.
O (-0,-8)
(-8,-5) 0 (-1,3)
0 (-1,7)
(7,9)
O (9, )
Х
(b) The function f has local maxima at which x-values? If there is more than one value,
separate them with commas.
Answer:
hi
Step-by-step explanation:
Perdon si no te ayudo pero solo quiero los puntos para mis preguntas
How many 1/6 s are in 8?
Answer:
48
Step-by-step explanation:
1/6*48=8
Answer: i think 48 times are in 8
because if you times 1/6 to 48=8
Step-by-step explanation:
Expanded form of -3(4x+7y)
Answer: -12x-21y
Step-by-step explanation:
-3(4x+7y)
-3(4x)-3(7y) <--- Distribute by mulitplying each varibalbe by "-3"
-12x-21y
255.5 divided 4156.985
Answer:0.061462815
Step-by-step explanation:
Answer:
0.0614628149969269
Step-by-step explanation:
FOR 36 points!!!!! Helpppppp please I will make your brainiest!!!
Answer: for A you would go down three than go right three times.
For B. you would go up 2 and go left 7 times
Step-by-step explanation:
I’m not good in math but that’s what my teacher told me
You find a sales receipt from a store that shows the total price as $40, and the total amount paid including sales tax as $42.
Answer:
Solving your equation gives you $2.00.
2/40 = 0.05 = 5%
Step-by-step explanation:
happy to help ya :)
Answer:
So they charged $2 for every 40 dollars, so simplify. 2/40 divided by 2 = 1/20 is the unit rate
Step-by-step explanation:
Jan has $245.50 to spend on home repairs. The repairman charges $75 for the initial visit and $35 per hour or any part of an hour. How many hours of work can Jan afford?
Answer:
4
Step-by-step explanation:
Answer:
it four or less
Step-by-step explanation:
i did a lot of math for u guys and then i got it right so yall can get good grades
When buying tickets to a play online, they cost $12.75 per ticket plus a $12 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of n people buying tickets for the play using either method to purchase tickets can be represented by an equation. Write the system of equations. Choose the correct answer below.
Answer:
Step-by-step explanation:
c=12.75n+12
c=15.75n
=4
Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.
Answer:
The plant grew [tex]12\frac{1}{14}[/tex] inches
Step-by-step explanation:
Operations with Fractions
Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.
We are required to find the total growth during the two weeks. We have to find the sum of:
[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]
Let's convert both fractions to improper form:
[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]
Adding the integers:
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]
Now we find the LCM of 7 and 14 is 14, thus:
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]
Rewriting as a mixed number:
The plant grew [tex]12\frac{1}{14}[/tex] inches
BEST ANSWER GETS BRAINLIST!
pls explain
Answer:
4 dollars per pair of socks.
Step-by-step explanation:
You already determined that x and y have a proportional relationship, as y is four times the x value. Therefore, when x is 1, that means one pair of socks will be four dollars.
Another way to solve this is by forming a linear equation.
y = 4x
Any number plugged into x to represent pairs of socks will give the cost, y.
For example: y = 4(7), which simplifies to y = 28.
This means that for every one pair of socks, it costs four dollars.
Answer:
yes and $4
Step-by-step explanation:
7*4=28
11*4=44
13*4=52
15*4=60
Hope this helps!
find the post dilated coordinates of the point at (-2,3) if the center of dilation is at the origin and the scale factor is 1/2
Answer:
(-4,6)
Step-by-step explanation:
I took the quiz
I will give brainliest to whoever gets them both right! Needed ASAP (5 and 6)
Answer:
5. Slope: 2
Y-intercept: 3
6. Slope: 1/2
Y-intercept: 5
Step-by-step explanation: