Answer:
For simple interest: $50, for compound interest: $56.25
Step-by-step explanation:
Year 1) 100+100(.25) = 125
Year 2) 125+125(.25) = 125+31.25 = $156.25
156.25 - 100 = $56.25
25 x 2
=50
(x-5)(x+1)
O x= -1 and x = 5
O x= -1 and x = 14
O x= 1 and x = -5
O x = 14 and x = 5
When writing an equation, your “y-intercept” is whatever the value of y is when x =
the value of Y is when X crosses the X axis.
What is the least possible positive integer-value of n such that sqrt{18\cdot n \cdot 34}$ is an integer?
Answer:
n = 17. This means, √(18 x 17 x 34) = √(10404) = 102.
Step-by-step explanation:
An integer is a number that is not a fraction.
Given √(18 x n x 34), for the expression to be an integer, the product must be a perfect square. We are looking for n, the smallest number to multiply 18 x 34 to make it a perfect square. We have:
18 x 34 = 2 x 9 x 2 x 17 = 2 x 3 x 3 x 2 x 17 = 2² x 3² x 17.
From here, we see that we need to multiply an extra 17 to make it a perfect square, therefore n = 17. So we have:
√(18 x 17 x 34) = √(10404) = 102
The least possible positive integer-value of n such that [tex]\sqrt{18\cdot n \cdot 34}[/tex] is an integer is 17
The expression is given as:
[tex]\sqrt{18\cdot n \cdot 34}[/tex]
Expand the equation
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 9 \times n \times 2 \times 17}[/tex]
Express 8 as 3^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 3^2 \times n \times 2 \times 17}[/tex]
Rearrange the factors as follows:
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 2\times 3^2 \times n \times 17}[/tex]
Express 2 * 2 as 2^2
[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2^2\times 3^2 \times n \times 17}[/tex]
Evaluate all exponents
[tex]\sqrt{18\cdot n \cdot 34} = 2\times 3 \times \sqrt{n \times 17}[/tex]
[tex]\sqrt{18\cdot n \cdot 34} = 6 \times \sqrt{n \times 17}[/tex]
For the expression to be an integer, then the radical must be a perfect square.
Given that the expression in the radical is [tex]{n \times 17[/tex], then the value of n must equal 17, at the very least
i.e.
[tex]n = 17[/tex]
Hence, the least possible positive integer-value of n is 17
Read more about integers at:
https://brainly.com/question/13136492
2x -1 = x - 3
what's x?
Answer:
-2
Step-by-step explanation:
2x-1=x-3
2x=x-2
x=-2
True or false the opposite sides of a trapezoid are congruent
Step-by-step explanation:
its true... opposite sides are equal
Answer:
true
Step-by-step explanation:
/■\ <--- that is the shape
Help with this please
Answer:
-29
Step-by-step explanation:
-5•5=-25
-25-4=-29
b. Lin wants to use a number cube to simulate the result of one dart. She suggests that 1 on the number cube could represent a win. Getting 2, 3, 4 could represent no point scored. She says that she would ignore getting a 5 or 6. Is Lin's suggestion for a simulation appropriate? Explain why you would use it, or if not, how you would change it.
Answer:
Step-by-step explanation:
I would not use her suggestion because you don't know what 5 you get if you win 5 or 6. I would change it only by seeing what you would get if you score 5 or 6.
There are 4 red marbles, 2 blue marbles, and 6 green marbles in a bag. What is P(red)?
Answer:
well 1/3 is red
Step-by-step explanation:
A circular rug has a radius of 1 yard. Determine
the area of the rug to the nearest tenth of a
square foot.
1 yard
F. 3.9 ft?
G. 4.9 ft
H. 18.8 ft
J. 28.3 ft?
PLS HELP 50 POINTS
WILL GIVE BRAINLIEST TO RIGHT ANSWERS
The kid's meals at a fast food restaurant include one of three toys, selected at random. Each toy has an equal chance of being selected. Which simulation tool(s) could be used to find the experimental probability that it will take at least five kid's meals to collect all three toys?
1. coin
2. colored discs
3. die
4. random number list
Every person in a medical study is assigned a six-letter code, using only the letters A, B, C, and D. Which simulation tool(s) could be used to find the experimental probability that a code will have at least four A's?
1. coin
2. colored discs
3. die
4. random number list
Stella is taking a pop quiz which consists of five true or false questions. She has decided to randomly select each answer without reading the question. Which simulation tool(s) could be used to find the experimental probability that she will get all five questions correct?
1. coin
2. colored discs
3. die
4. random number list
If there is a 60% chance of rain each day this week, which simulation tool(s) could be used to find the experimental probability that it will take at least three days before it rains?
1. coin
2. colored discs
3. die
4. random number list
(these are all multi answer)
Answer:
3, 1, 2, 2 is the answer
Step-by-step explanation:
Solve the system of equations by first multiplying.
ſ 3x +y = -5
1 2x + 5y = 27
Write the solution as an ordered pair.
3x+y=-5
12x+5y=27
Let y =-5-3x
Insert y into equ.2
12x+5(-5-3x)=27
12x-25-15x=27 den rearrange
-3x=2 den x =-2/3
Den put xinto equ 1
3(-2/3)+y=5
-2+y=5(collect like terms)
Y =7
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
4.
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
legs: 24 in. and 16 in.
A. 34.7 in.
B. 31 in.
C. 28.8 in.
D. 17.9 in.
Answer:
The answer is C. 28.8 in
Step-by-step explanation:
Given a=16 and b=24,
c = 28.84441 = 8√13
∠α = 33.69° = 33°41'24" = 0.588 rad
∠β = 56.31° = 56°18'36" = 0.98279 rad
h = 13.3128
area = 192
perimeter = 68.84441
inradius = 5.57779
circumradius = 14.42221 = 4√13
what is the reciprocal of 3 3/5
Answer:
5/18
Step-by-step explanation:
Use the Difference of Squares rule to multiply (7x−3)(7x+3)
HELPPPP
Answer:
x^4 + 7x^3 + 12x^2
Simplifying
x4 + 7x3 + 12x2
Reorder the terms:
12x2 + 7x3 + x4
Factor out the Greatest Common Factor (GCF), 'x2'.
x2(12 + 7x + x2)
Factor a trinomial.
x2((4 + x)(3 + x))
Final result:
x2(4 + x)(3 + x)
Step-by-step explanation:
A musician started his practice at 10:15 p.M. He finished his practice at 11 p.M. How many minutes did he practice?
Answer:
45 minutes
Step-by-step explanation:
Answer:
45 minutes
Step-by-step explanation:
60(an hour, 11pm) - 15 = 45
There is a sample of 500 and the population proportion is 0.47. What is the probability that the proportion is greater then 0.50
Answer: 0.0895
Step-by-step explanation:
Let p= population proportion.
Given : Sample size : n= 500
p= 0.47
Required probability = [tex]P(\ha{p}>0.50)[/tex]
[tex]=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.50-0.47}{\sqrt{\dfrac{0.47(1-0.47)}{500}}}) \\\\=P(z>1.344)\ \ \ [z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z<1.344)\\\\=1-0.9105\approx0.0895[/tex]
Hence, required probability = 0.0895
Factorise fully 3x+3
Examine rectangle JKLM, shown below.
If JN=x+3 and JL 3x + 1, determine which of the following values is correct
Answer:NM=8
Step-by-step explanation:
JN is half of JL so x + 3 times 2 is equal to 3x + 1
then u just do the work
2x+6=3x+1
5=x
then you just plug in the answers and JN is equal to 8 therefore NM is also equal to 8
To solve the problem we must know about the properties of the diagonals of a rectangle.
What are the properties of the diagonals of a rectangle?The diagonals of a rectangle are of equal length.The diagonals of the rectangle bisect each other at equal distances.The correct statement from all the given options is D.
Given to us
JN = x+3
JL = 3x+1
What is the value of x?We know that the diagonals of the rectangle bisect each other at two equal parts, therefore, JN=NL, also
[tex]JL = JN + NL\\\\\text{Substituting the values,}\\\\3x+1 = x+3 + NL\\\\3x+1 = x+3 + NL\\\\3x-x=3-1+NL \ \ \ \ \ [JN=NL]\\\\2x = 2 + JN\\\\2x = 2 + x+3\\\\2x-x=5\\\\x = 5[/tex]
Value of diagonalsAs we know the values of the diagonals are equal, therefore,
JL = KM = 3x + 1
JL = KM = 3(5) + 1
JL = KM = 16
Value of half DiagonalsWe know that the diagonals of the rectangle bisect each other at two equal parts, also the diagonal are equal therefore all the four parts of the two diagonals will be equal.
JN = NL = KN = NM = x+3
JN = NL = KN = NM = 5+3
JN = NL = KN = NM = 8
Hence, the correct statement from all the given options is D.
Learn more about Diagonals:
https://brainly.com/question/13318029
may you guys help me with this question. i'm not good at percentage <:3
Answer:
i got 55% but...
Step-by-step explanation:
44/80 is 55
A basement is shaped like a rectangular prism with a length of 14 yards, a width of 6 yards, and a height of 3 yards.
What is the volume of the basement?
volume = l x w x h
- plug in the numbers
14 X 6 X 3 = 252 yards^3
4 Two rectangles have a scale factor of 3. If the area of the smaller rectangle is 45, what is the area of the larger rectangle?
Answer:
I need the PONTS
Step-by-step explanation:
Please answer this question
Answer:
3/100
Step-by-step explanation:
1 m = 100 cm
Scale factor = 3/100
Hope it helps you
Answer:
the answer would be 3/100
Find the circumference of a circle with radius of4 inches use 3.14 for pi round your answer to the nearest hundredth
Answer:
25.136 in
Step-by-step explanation:
Step one:
given data
radius = 4 inches
Circumference= 2πr
substitute
C=2*3.142*4
C=25.136 in
The circumference is 25.136 in
Solve the system by substitution.
y = -2.x
y = -9x + 21
since y=-2x, we can substitute into the second equation to get:
-2x=-9x+21
add 9x
7x=21
divide by 7
x=3
The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left and 7 units up.
Then, give the coordinates of the marked point in the original figure and the final figure.
Point in original figure:
Point in final figure:
!!
Answer:
I'm pretty sure it's
original (4, -4)
final figure (-4, 3)
Solve the equation for X.
3/4x - 1/2 = -2
Answer:
X = -2
Step-by-step explanation:
i need help with the question below
I NEED HELP!! I DON'T UNDERSTAND THIS AND I NEED IT BAD!
Answer:
12
Step-by-step explanation:
Thomas buys a coat in the 15% off sale for £35.70.
How much would the coat have cost before the sale?
Answer:
53.55
Step-by-step explanation:
35.70
10%:35.7
5%=17.85
35.7+17.85=53.55
Answer: 42
Step-by-step explanation: 15 percent of 42 is 6.3
