6. Which of the following is equivalent to (17m + 3) + (3m - 1)?
A. 14m + 2
B. 14m + 4
C. 20m + 2
D. 20m +4
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
C
How long will it take for $3000 to grow to $11,700 at an interest rate of 6.3% if the
interest is compounded continuously? Round the number of years to the nearest
hundredth.
A) 0.83
B) 2160.28
C) 21.60
D) 2.16
Answer:
Step-by-step explanation:
Using A=P(1+r/n)^nt
Where,
P = principal amount (the initial amount you borrow or deposit), in this case $3000
r = annual rate of interest (as a decimal), in this case 0.06
t = number of years the amount is deposited or borrowed for, in this case we don't know it
A = amount of money accumulated after n years, including interest, in this case $21000
n = number of times the interest is compounded per year, in this case 12
This gives us 21,000=3,000(1+0.06/12)^12t
After simplification, 7=(1.005)^12t
By taking the logarithm of both sides,
Log7=Log1.005^12t
12t = Log 7/Log 1.005
12t =390.1545
This gives us 32.5months
Find the mode, median and mean of the following data and match them with their appropriate result provided below. 3, 12, 11, 7, 5, 5, 6, 4, 10
How to get the mode:
- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5
How to get mean:
- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9
=> 63 / 9
=> 7
How to get median:
- To find the median, first order the numbers from smallest to largest. Then find the middle number
3, 4, 5, 5, 6, 7, 10, 11, 12
So the middle number is 6
------------------------------------------------
Mean: 7
Median: 6
Mode: 5
Explain the importance of using the square of the scale factor to calculate the area of a dilated figure
Answer:
2
Step-by-step explanation:
2+2=4 therefore 2x2 also equals 4, 4/2=2.
In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object. We perform a dilation of a square by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the square by the same number, called the scale factor. This can also be achieved by multiplying the lengths of each of the sides of a square by the scale factor.
When we dilate a square by a scale factor of k, its sides increase by a factor of k, its area by [tex]k^{2}[/tex], and its volume by [tex]k^{3}[/tex].
So, this is the importance of using the square of the scale factor to calculate the area of a dilated figure.
What is Square?
Square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one).
What is scale factor?
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
What is dilation?
In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object. We perform a dilation of a shape by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the shape by the same number, called the scale factor.
According to question, we have to explain the importance of using the square of the scale factor to calculate the area of a dilated figure.
When we dilate a square by a scale factor of k, its sides increase by a factor of k, its area by [tex]k^{2}[/tex], and its volume by [tex]k^{3}[/tex].
In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object.
We perform a dilation of a square by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the square by the same number, called the scale factor.
This can also be achieved by multiplying the lengths of each of the sides of a square by the scale factor.
Hence, these are the importance of using the square of the scale factor to calculate the area of a dilated figure.
Learn more about dilation here:
https://brainly.com/question/13176891?referrer=searchResults
#SPJ2
A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =
2g + 4 > 14
Inequality
Answer:
g>5
Step-by-step explanation:
2g+4>14
Subtract 4 on both sides
2g>10
Divide 2 on both sides
g>5
I hope this is correct and have a nice day
IT WOULD MEAN THE WORLD TO ME IF SOMEONE HELPED< TY IN ADVANCED!
Answer: 200.96
Step-by-step explanation:
The find the surface area of a circle use its formula
A =4 pi * r^2
A = 4* 3.14 * 4^2
A = 12.56 * 16
A = 200.96
Answer these please. :0
Answer:
I wrote the answers below
Step-by-step explanation:
x+3<70------>0,60
-5x<2--------->3,5
5x<2---------->-3,-1
-3x>18-------->-10,-20
what is the answer to: Mila bought 26 pounds of sausage for $65.what was the cost per pound of sausage?
Answer:
$2.50
Step-by-step explanation:
divide $65.00 by 26 pounds
Answer: $2.50 per pound
Step-by-step explanation: $65/26 pound = $2.5 per ponund
if the circumfrence of a circle is 12pi cm. what is the area of the circle.
Answer:
11.46
Step-by-step explanation:
Answer:
11.46
Step-by-step explanation:
Ms. KC ate 1/2 of 3/4 of a sicilian pie. Did Ms. KC eat more or less than 3/4 of
the pie? Explain.
Pls help I need the answer fast
Answer:
2 2/9
hope it's helpful ❤❤❤
THANK YOU.❤
I need help *********
Answer:
D.
Step-by-step explanation:
Answer:
the answer to this question is d.
What are the terms to this polynomial: 4x2 + 9x - 1/2
Answer:
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
Which expression is equivalent to 7(-7v - 7) - v?
-49V - 50
-50v - 49
-8V - 49
-50v - 7
Answer:
-50v - 49
Step-by-step explanation:
Just distribute you can even use a calculator
Identify the rate of change of the function.
67Answer:67
Step-by-step explanation:
1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.
A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70
2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.
A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42
3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.
A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17
4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.
A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15
Answer:
1 = C
2 = B
3 = B
4= C
Step-by-step explanation:
Im not 100% sure but.. i tried
Answer:sike i lied i must provide
Step-by-step explanation: its ez just do it
*Hana purchased 2 pairs of pants for $26.59 each and a coat for $49. She used a coupon that saved her $10. The sales tax for the purchase was $7.84. How much was the total purchase?
Answer:
$100.02
Step-by-step explanation:
*Sales tax is always applied after the discount/coupon
1. Find how much Hana had spent on pants. Since she had bought 2 pairs of pants, and they are $26.59 each, we would have to multiply 26.59 by 2. So,
26.59 times 2 is 53.18.
Hana spent $53.18 on pants
2. Find how much Hana had spent on a coat. Since she had bought 1 coat, and they are $49.00 each, we would have to multiply 49.00 by 1. So,
49.00 times 1 is 49.
Hanna spent $49 on coats
3. Find how much Hana spent on clothes. Since she spent $53.18 on pants and $49 on coats, we would have to add 53.18 and 49. So,
53.18+49=102.18
Hanna spent $102.18 on clothes
4. Find how much Hana "spent" after using the coupon. Since the problem says the coupon helps Hana save $10, we need to subtract 10 from 102.18(the total amount of money Hana spent on clothes before using the coupon). So,
102.18-10=92.18
Hanna "spent" $92.18 on clothes after using the coupon
5. Find how much was the total purchase. Sales Tax is the amount of money that needs to be added to the price. Since the price is $92.18 and the sales tax is $7.84, we need to add 7.84 to 92.18. So,
7.84+92.18=100.02
The total purchase is $100.02
How Students Spend Their Time
EATING
8%
HOMEWORK
8%
WATCHING TV
13%
SOCIALIZING
13%
SLEEPING
33%
SCHOOL
25%
HOW STUDENTS SPEND THEIR TIME
[tex]14y {. \times \frac{?}{?} }^{2} [/tex]
15% eating, 25% homework, 2% tv, 0% socializing, 35% sleeping, 50% school for me
1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters wide. To meet city building code guidelines, the area of the pool must not be larger than 8 square meters. Which inequality represents the possible lengths of the wading pool, where x represents the length of the wading pool in meters?
Answer:
[tex]x\leq 1.78[/tex]
Step-by-step explanation:
We are given that
Width of pool, b=4.5 m
We have to find the inequality which represents the possible lengths of the wading pool.
Let x be the length of wading pool
We know that
Area of rectangle=[tex]length\times breadth[/tex]
According to question
Using the formula
[tex]4.5x\leq 8[/tex]
Divide by 4.5 on both sides we get
[tex]x\leq\frac{8}{4.5}[/tex]
[tex]x\leq 1.78[/tex]
Natalie's meal at Heartland Noodles cost $16.14$ 16.14, not including tip. If Natalie wants to leave a 11%11% tip, how much should she pay? Round to the nearest cent.
Answer:
Step-by-step explanation:
huh
what is this
does country matter with like the currency
Someone please help me ASAP
Given:
The number of alligators in a wildlife is given by the function
[tex]f(x)=3450(1.04)^{x+1}[/tex]
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
[tex]f(x)=3450(1.04)^{x+1}[/tex]
For x=4, we get
[tex]f(4)=3450(1.04)^{4+1}[/tex]
[tex]f(4)=3450(1.04)^{5}[/tex]
[tex]f(4)=4197.4525[/tex]
For x=7, we get
[tex]f(7)=3450(1.04)^{7+1}[/tex]
[tex]f(7)=3450(1.04)^{8}[/tex]
[tex]f(7)=4721.5632[/tex]
Now, the average growth rate of change from the 4th year to the 7th year is
[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]
[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]
[tex]m=\dfrac{524.1107}{3}[/tex]
[tex]m\approx 174.70[/tex]
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.
Answer:
Step-by-step explanation:
270 div
Help me solve this pls
Find the slope of the line through each pair of points.
(3,-10), (14,-10)
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -10)
Point (14, -10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-10+10}{14-3}[/tex][Fraction] Add/Subtract: [tex]\displaystyle m=\frac{0}{11}[/tex][Fraction] Divide: [tex]\displaystyle m=0[/tex]The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.
By how much was the price discounted?
Answer:
40%
Step-by-step explanation:
Discount price = 22 - 13.20 = $8.80
Discount percentage = [tex]\frac{8.80}{22}*100\\[/tex]
= 40%
and please explain how you got the answer :)
Answer:
8. 548.9 9.349.3
Step-by-step explanation:
10% of 499 is 49.9
30% of 499 is 3*49.9=149.7
499+49.9=548.9
499-149.7=349.7
HELP ME PLZ SURFACE AREA OF A RAMP
Answer:
i think it 37 square feet
Find the value of k please
the ratio of the number of girls to the number of boys in a school is 9:10. There are 900 boys in the school.
Work out the total number of students in the school
Answer:
1710 students.
Step-by-step explanation:
=>900/10=90
=>90x9=810 (girls)
=>810+900=1710 students in total
Hope this helps! ;)