Answer:
0 (zero)
Step-by-step explanation:
15mn + 5(m – 3mn) – 5m
=15mn+5m-15mn-5m
=15mn-15mn+5mn-5mn
=0
Answer:
3n add 1
Step-by-step explanation:
15 mn add 5m - 15mn - 5m
or, 5m( 3n add 1 ) - 5m( 3n add 1)
or, ( 5m - 5m ) ( 3n add 1 )
or, 3n add 1
You have $250 comma 000 in an IRA (Individual Retirement Account) at the time you retire. You have the option of investing this money in two funds: Fund A pays 2.4% annually and Fund B pays 7.4% annually. How should you divide your money between Fund A and Fund B to produce an annual interest income of $9 comma 000?
Answer:
$190,000 goes to fund A while $60,000 goes to fund B to earn an annual interest income of $9,000
Step-by-step explanation:
Here, we are interested in knowing the way the money should be divided between the interest rates to give an annual interest totaling $9,000.
Let’s have the amount going to Fund A as $x while $y is the amount going to Fund B.
Although, we do not know the value of these amounts, we know that they both total $250,000
Thus, mathematically;
x + y = 250,000 •••••••••••(i)
Now also, let’s work with the percentages to get the interests:
For fund A;
2.4% of x = interest
2.4/100 * x = 2.4x/100
For fund B;
7.4% * y = interest
7.4/100 * y = interest
7.4y/100 = interest
Adding both gives a total of $9,000
Mathematically, that would be;
2.4x/100 + 7.4y/100 = 9,000
Multiply through by 100;
2.4x + 7.4y = 900,000 •••••••(ii)
From i, x = 250,000 -y
Substitute this into ii
2.4(250,000-y) + 7.4y = 900,000
600,000 -2.4y + 7.4y = 900,000
Collecting like terms, we have;
7.4y-2.4y = 900,000-600,000
5y = 300,000
y = 300,000/5
y = $60,000
But x = 250,000 - y
x = 250,000 - 60,000
x = $190,000
what is the expression of “the sum of n and the sum of 8 and 6?”
Answer:
n+8+6
Sum means = and and means + so n+8+6
A clothing company dyes cotton clothes in a huge container. They pour liquid dye into the container at a constant rate. How many ounces of dye do they pour into the container in 22 minutes
Answer:
Sorry, but I will need more info to solve this problem. Like how many oz they pour in for each load or how often they do a load.
What is the measure of x?
Answer:
x = 78Step-by-step explanation:
[tex]m\angle BHD=180^o-x^o[/tex]
[tex]m\angle DBH+m\angle BHD+m\angle HDB=180^o\\\\47^o+180^o-x^o+31^o=180^o\\\\78^o-x^o=0\\\\x^o=78^o[/tex]
What is the degree for this polynomial 4ry2 + 3x
5
Answer:
I hope your question is 4x²+3x+5, then the degree of this polynomial is 2
Divide. Enter your answer as a fraction in simplest form.
2/5 divided by 14/15
The solution is
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} / \frac{14}{5}\\\frac{2}{5} * \frac{5}{14} \\\frac{1}{7}[/tex]
Teresa invested 3000$ in a fund for 5 years and was paid simple interest. The total interest that she received on the investment was 1350$. As a percentage, what was the annual interest rate of her investment?
Answer:
9%
Step-by-step explanation:
To find the answer, you have to use the formula to calculate the interest rate:
r=(1/t)(A/P-1), where
r=rate of interest
A=accrued amount=3000+1350=4350
P=principal amount=3000
t=time periods=5
Now, you can replace the values:
r=(1/5)*(4350/3000-1)
r=0.2*(1.45-1)
r=0.2*(0.45)
r=0.09
According to this, the annual interest rate of her investment is 9%.
Solve for y. 12x +2y = 26x -70 a) y= 7x - 35 b) y= 20x -35 c) y= 2x + 72 d) x= 2y +36x -70 I CAN'T TELL IF IM DUMB OR NOT
Answer:
Step-by-step explanation:
12x + 2y = 26x - 70
2y = 14x - 70
y = 7x - 35
the answer is A
Answer:
a
Step-by-step explanation:
Given
12x + 2y = 26x - 70 ( subtract 12x from both sides )
2y = 14x - 70 ( divide all terms on both sides by 2 )
y = 7x - 35 → a
Help me out with this one anyone
Step-by-step explanation:
x is 10
FO is x+10
OG is 10+10
FG is x+3x
The diagram shows the amount of fabric that Christine needs to make 1 tablecloth, including the fabric that will hang over the sides. The fabric costs $1.50 per square foot. Christine plans to make 1 tablecloth for each of the 4 seasons of the year. What is the total cost of the fabric that Christine needs for the tablecloths?
what diagram?? I would multiply 1.50 by 4 then multiply 6.00 by the total surface area to get the total cost.
Kimberly went to a new animated monster movie yesterday afternoon. When she went into
the movie theater, the outside temperature was -8°F. By the time she left the theater, the
temperature had decreased by 6°F.
What was the temperature when Kimberly left the theater?
Explanation:
Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.
A square image of an object on a video game has an initial side length of 25 pixels. To make the object appear closer, the side length of the square is increased by 10 pixels per second. This length change is represented by the function s(t) = 25 + 10t, where t is time in seconds. If the area of the square is A(s) = sa, find the formula for the area as a function of time, and then determine A(s(3)). A(t) equals +2+ t + 625 The area of the square image after 3 seconds is square pixels.
Answer: A(t) = 100t^2 + 500t + 625
3,025 square pixels
Step-by-step explanation:
A function assigns the values. The area of the square image after 3 seconds is 3,025 sq. pixels.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The area of the video game will be,
A(s) = [s(t)]²
A(s) = (25+10t)²
A(s) = 625 + 100t² + 500t
A(s) = 100t² + 500t +625
B.) The value of A(s(3)) will be,
A(s(t)) = 100(25+10t)² + 500(25+10t) + 625
A(s(t)) = 10,000t² + 50,000t + 62,500 + 12,500 + 5,000t + 625
A(s(t)) = 10,000t² + 55,000t + 75,625
A(s(3)) = 10,000(3)² + 55,000(3) + 75,625
A(s(3)) = 270,000 + 165,000 + 75,625
A(s(3)) = 510,625
The area of the square image after 3 seconds is,
A(s) = 100t² + 500t +625
A(3) = 100(3)² + 500(3) +625
A(3) = 900 + 1500 +625
A(3) = 3,025
Hence, The area of the square image after 3 seconds is 3,025 sq. pixels.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ2
What is the value of the expression below when y=6y=6? y^2 -5y-4 y 2 −5y−4
Answer:
2
Step-by-step explanation:
Given expression:
y^2 - 5y - 4
y = 6
Substitute y = 6 into the expression
y^2 - 5y - 4
6^2 - 5(6) - 4
(6*6) - (5*6) - 4
36 - 30 - 4
36 - 34
2
The value of the expression y^2 - 5y - 4 is 2 when y = 6
6.
Which list shows the numbers below in order from least to greatest?
5.78, -5.9, 58%, -2
F. -5.9, -2.5.78, 58%
G. -2.-5.9, 58%, 5.78
H. -5.9, -2, 58%, 5.78
J. 58%, -23.5.78, -5.9
Which expression converts 100 inches per minute to feet per minute?
100 Inches
I minute
60 minutes
1 hour
100 inches
1 minute
1 hour
60 minutes
100 inches
1 minute
1 foot
12 inches
100 inches
1 minute
12 inches
1 foot
5=z/4−3 This is algebra 1
Answer:
z = 32
Step-by-step explanation:
Add 3 to both sides.
5 + 3 = z/4 -3 + 3
8 = z/4
Multiply 4 on both sides. 8 times 4 is 32.
32 = z
6 people equally share bill rs 98.10 how
Answer:
16.35Rs would be paid by everyone.
Step-by-step explanation:
98.10/6
=16.35Rs would be paid by everyone.
Hope it will help you :)
Someone please help me outttt
WET
Problem
Find the circumference of the circle below.
22
Use 7 for pi.
r = 10.5mm
Answer:
66mm
Step-by-step explanation:
The circumference of a circle is given by
C =2 pi r
22/7 * 2( 10.5)
22/7 * 21
66
Liam is going to a carnival that has games and rides. Each game costs $5 and each ride costs $3.50. How much would Liam have to pay if he wanted to play 3 games and go on 8 rides? How much would Liam have to pay if he wanted to play g g games and go on r r rides
Answer:
$43
Step-by-step explanation:
You have to find how much he is paying for his games and how much he is paying for his rides, then add them together.
5(3) = $15 (games)
8(3.5) = $28 (rides)
28+15 = 43
The height of a triangle is 4 inches. Greater than twice it's base. The area of the triangle is no more than 168 in.². Which any quality can be used to find the possible lengths, x, of the base of the triangle
Step-by-step explanation:
this problem seeks to test our knowledge on word problems and algebra
Solution
let the base be x, and
the height h = 2x+4
We know that area of a triangle is given as
[tex]A= \frac{1}{2} b*h[/tex]
substituting our given values we have
[tex]168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\[/tex]
re-arranging we have
[tex]x^2+2x-168=0\\\\[/tex]
we can now find two factors that will add up to give 2 and multiply to give -168
they are 14 and -12
[tex]x^2-14x+12x-168=0\\\\x(x-14)+12(x- 14)=0\\\\x+12=0\\\\x=-12\\\\x-14=0\\\\x=14[/tex]
The possible base of the triangle is 14 in
and the height is
[tex]h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in[/tex]
What fractions are equal to 2/3
Answer:
Step-by-step explanation: yes
Answer: 4/6, 6/9, 8/12, 10/15 are all fractions equal to 2/3.
Step-by-step explanation: If you multiply both numerator and denominator in the fraction by any number, the new multiplied fraction will still be equal to the original fraction because fractions are proportionate.
For example: you can multiply 2/3 by 3.
2 x 3 = 6
3 x 3 = 9
6/9 is equal to 2/3 because the proportions are the same.
Another example: you can multiply 2/3 by 4.
2 x 4 = 8
3 x 4 = 12
8/12 is equal to 2/3 because, like before, the proportions are the same.
Jungkooks birthday is coming up! How old will he be?
Answer:
23
Step-by-step explanation:
Since Jungkook's birthday is on September 1, 1997, that makes him 22 for now. When September 1st, 2020 occurs, he will be 23.
help pls. explain what that means. I
forgot so much I apologise.
Answer:
Your answer would Be A.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Mae runs a fruit stand on Monday. She used 3/4 of a bag fruit. On Wednesday she used 1/3 as much fruit as Monday. What fraction of a bag of fruit does Mae use on Wednesday
Answer:
Mae used 1/4 of the whole bag on Wednesday.
Step-by-step explanation:
From the question, we understand that the fraction of the whole bag that Mae used on Monday is 3/4.
On Wednesday, we are then told that Mae uses 1/3 as much fruit as on Monday.
This means that Mae uses 1/3 of the fruits she used on Monday. The fruits she used on Monday was actually 3/4 of the whole.
This means that on Wednesday, Mae used 1/3 of 3/4 fruits.
In Mathematics, the word "of" there stands for multiplication. Hence, Mae used 1/3 X 3/4 = 1/4 of the whole bag
Mae used 1/4 of the whole bag
This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. Cubes Boxes Number of cubes 1 n 5 625 8 1,000 What is the unknown value representing the unit rate?
Answer:
125
explanation:
I took the 2020 mathematics edg test
Answer:
B) 125
Step-by-step explanation:
I took the quiz.
Becky is tossing a six-sided number cube labeled 1, 2, 3, 4, 5, and 6. What is the probability of tossing 6 two times in a row? A. 1 36 B. 1 6 C. 1 3 D. 1 2
Answer:
A. 1/36
Step-by-step explanation:
The probability of Becky tossing 6, 2 times in a row is given by the following ways:
1. If you toss the die the first time you get an odd of 1/6
2. If you toss the die the second time you get another odd of 1/6
3. You multiply by odds 1/6 with 1/6
= 1/6 x 1/6
= 1/36
Therefore option a answers the question correctly.
I need the following solutions to the following equations.
3(4x-3) -19=8x -4
-6y+14=32-4y
-28+5-3x=2-2x
Answer:
x = 6
y = -9
x = -25
Step-by-step explanation:
1st Equation
Step 1: Write out equation
3(4x - 3) - 19 = 8x - 4
Step 2: Solve
12x - 9 - 19 = 8x - 4
12x - 28 = 8x - 4
4x - 28 = -4
4x = 24
x = 6
2nd Equation
Step 1: Write out equation
-6y + 14 = 32 - 4y
Step 2: Solve
-2y + 14 = 32
-2y = 18
y = -9
3rd Equation
Step 1: Write out equation
-28 + 5 - 3x = 2 - 2x
Step 2: Solve
-23 - 3x = 2 - 2x
-23 = 2 + x
-25 = x
x = -25
Check all solutions to the equation. If there are no solutions, check "None."
√x=4
O A. 2.
B. -2
C. O
D. 16
E. -16
F. None
12=15(z-1/5) does anybody know how to solve this
Answer:
-15
Step-by-step explanation:
4. Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band
at a small club. Find the ratio of this number to the rectangle's area. Choose the appropriate label for this ratio.
Answer:
9 people per 32 square ft
(or 9:32)
Step-by-step explanation:
First find the area:
8*8=64 sqr ft
Next create a ratio
18 people to 64'sqr
Now we try reducing
18/2 = 9
64/2 = 32
So the final ratio is 9 people per 32 square ft
9:32
Hope this helps! :)