Answer:
$4080
Step-by-step explanation:
Step one:
given data
principal= $3000
rate = 6%= 0.06
time = 6 years
Required
The total amount in the account after 6 years
Step two:
We know that the final amount on a simple interest investment is computed using
[tex]A=P(1+rt)\\\\A=3000(1+0.06*6)\\\\A=3000(1+0.36)\\\\A=3000(1.36)\\\\A=4080[/tex]
in the recent year, 51.9 billion cans were recycled. About how many cans per this week
8x+10=12x-18 answer plz and mesure ment of angles
Answer: x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
8x+10=12x−18
Step 1: Subtract 12x from both sides.
8x+10−12x=12x−18−12x
−4x+10=−18
Step 2: Subtract 10 from both sides.
−4x+10−10=−18−10
−4x=−28
Step 3: Divide both sides by -4.
-4x/-4 = -28/-4
answer: x=7
Answer:
X= 7
Step-by-step explanation:
8x+10 = 12x-18
10= 4x-18
28 = 4x
7 = x
7) Which ratios are equivalent ratio for 18/32.
Answer: 9/16
18/32 simplified is 9/16
Answer:
9/16
4/8
2/4
Step-by-step explanation:
plz mark brainliest
help please I beg✨✨✨✨✨
=======================================================
Explanation:
Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.
If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]
Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]
If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on
Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.
--------------------------
So far we've shown that "5 times a number" turns into 5*x or just 5x.
From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.
The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.
7+8r+10r pls help me im failing
Final Answer: [tex]7 + 18r[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]7 + 8r + 10r[/tex].
Step 1: Collect like terms.
[tex]7 + (8r + 10r)[/tex]
Step 2: Simplify.
[tex]7 + 18r[/tex]
~I hope I helped you :)~
Write the fraction 4/7 as an equivalent fraction with the given denominator 28 .
Answer:
16/28
Step-by-step explanation:
Multiply both the denomator and numerator by 4
Which of the following is same as 1500*15*5?
a) 1500*10*55
b) 1000+(500*75)
c) (1000*75)+(500*75)
d) (1500*15)+(1500*5)
Answer:
(c) bro for sure i have done this calculation bro
Can someone help me with this? Glady appreciated. :)
I need it step by step please
Answer:
1/2x-3
Step-by-step explanation:
First, make the equation 2y+4x=12 into a linear equation(y=mx+b)
2y=-4x+12
y=-2x+6
From this, you know the slope is -2.
The perpendicular of any slope is going to be the negative inverse.
negative inverse: a/b-->-b/a
so basically flip it and make it negative(make it positive if the original is negative).
So, for -2 it would be 1/2
Now right the equation for the perpendicular line.
y=1/2x+b
b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.
To do this replace x and y with 8 and 1
1=1/2(8)+b
1=4+b
b=-3
So you plug that into the equation
y=1/2x-3
Han wants to buy a pair of $150 headphones. He has a 10% off coupon. Han thinks he will save $10 using this coupon. Is he correct?
Answer:
no 10% of 150 is $15
Step-by-step explanation:
100% of 150 is 150
10% is 15
What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2?
Group of answer choices
graph with vertical asymptote of x equals negative 2, and oblique asymptote of y equals negative x
graph with vertical asymptote of x equals 2, and oblique asymptote of y equals x
graph with vertical asymptote of x equals 2, and oblique asymptote of y equals negative x minus 4
graph with vertical asymptote of x equals 5, and oblique asymptote of y equals negative x minus 4
Given:
The function is
[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]
To find:
The vertical asymptote and oblique asymptote.
Solution:
We have,
[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]
To find vertical asymptote, equate denominator equal to 0.
[tex]x-2=0[/tex]
[tex]x=2[/tex]
So, the vertical asymptote is [tex]x=2[/tex].
In the given function degree of numerator is greater than denominator so, their is an oblique asymptote. To find oblique asymptote divide the numerator by denominator.
Dividing [tex]x^2-2x-2[/tex] by [tex]x-2[/tex] using synthetic division, we get
2 | 1 -2 -2
2 0
--------------------------
1 0 -2
-------------------------
Here, starting elements of bottom row represent coefficient of quotient and last element of bottom row represents the remainder.
[tex]Quotient=x, Remainder=-2[/tex]
Since, quotient is x, therefore, the oblique asymptote is [tex]y=x[/tex].
Therefore, the correct option is B.
Find the length of the side that is marked by x
HURRY PLEASEEEE
Answer:
x = 6.7128 m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 40°
Opposite Leg = x
Adjacent Leg = 8
Step 2: Solve for x
Substitute [Tangent]: tan40° = x/8Isolate x: 8tan40° = xRewrite: x = 8tan40°Evaluate: x = 6.7128A patient requires an IV of D5W, a 5% solution of dextrose (sugar) in water. To the nearest milliliter, how much D20W, a 20% solution of dextrose in water, must be added to 100 milliliters of distilled water to produce a D5W solution? Please show all work.
Answer:
[tex]A=300ml[/tex]
Step-by-step explanation:
From the question we are told that
5% solution of dextrose sugar in water
20% solution of dextrose in
100 milliliters of distilled water water
Generally in mathematically solving we call A the amount of D20W added
Since 20% of dextrose is needed
[tex]20 \%*100=20milliter[/tex]
Total quantity after addition (100+x)
for DW5% total solution is
[tex]5\% (100+A)= \frac{5}{100}(100+A)[/tex]
[tex]5\% (100+A) =5+0.05A[/tex]
Mathematically
[tex]5+0.05A =20[/tex]
[tex]5+0.05A =20-5[/tex]
[tex]A=\frac{15}{0.05}[/tex]
[tex]A=300ml[/tex]
Therefore the required quantity [tex]A=300ml[/tex]
Clint's parents spent $1,056 on a laptop and 4 computer games. The laptop cost $826. Each computer game was the same price. How much did Clint's parents spend on each computer game?
Answer:
$59.75
Step-by-step explanation:
1065-826=239
239÷4=59.75
which statement about pentagon's and hexagons are true
Answer:
b
Step-by-step explanation:
Answer:
B and A
is the correct answer
Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
Answer:
x < y
Step-by-step explanation:
Need to find equivalent equation, see photo, thanks!
Answer:
x=(3y-11)/5
3(y-2)= 5(x+1) by cross multiplication
5x+5=3y-6
5x=3y-6-5
5x=3y-11
We divide by 5 on both sides
Assuming that any skirt can be paired with any blouse, in how
many ways can Anna select her outfit? List the possibilities.
A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24, 000(1.063)^w
Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew’s claim is too high of a rate.
Answer:
0.9%
Step-by-step explanation:
Given that:
A nest of ant is represented by the exponential growth function :
P(w)=24,000(1.063)^w
Where w = number of weeks
Recall :
Growth function is generally represented as :
P(t) = A(1 + r)^t
Where ; A is the initial population figure; r = growth rate and t = time
Hence, the growth rate per week of the function given is :
(1 + r) = 1.063
r = 1.063 - 1
r = 0.063
Number of days in a week = 7
Hence, growth rate per day = r /7
0.063 / 7
= 0.009
(0.009 * 100%) = 0.9%
PLS HELP
(the second page has the options)
9. Which transformation will place the trapezoid onto
itself?
(-2, 3)
(2, 3)
(-4, -3)
(4, -3)
A. Counterclockwise rotation about the origin by 90°
B. Rotation about the origin by 180°
C. Reflection across the x-axis
D. Reflection across the y - axis
If a,b,c and d are the digits at the thousand,hundreds,tens,and ones place respectively.Write the number formed by these digits.
Answer:
1000a+100b+10c+d
Step-by-step explanation:
place value of a =1000×a
place value of b=100×b
place value of c=10c
place value of d=1×d
I need help with Geometry
Answer: C) Segment PR
====================================================
Explanation:
Let's find the missing angle R. We'll use the idea that all three angles of any triangle always add to 180
P+Q+R = 180
48+83+R = 180
131+R = 180
R = 180-131
R = 49
Here are the three angles of triangle PQR
P = 48Q = 83R = 49The largest angle is Q = 83, so the opposite side PR is the longest side. The longest side of a triangle is always opposite the largest angle.
. Last year Abebe's salary was Birr 500. If he gets a 10% increment this year,
what is his present salary.
Answer:
Present salary is 550
Step-by-step explanation:
Here, we want to calculate the present salary seeing that it was 10% added to what we had last year
mathematically, that will be;
10/100 * 500 = 50
Adding this to 500, his present salary is 50 + 500 = 550
Answer:
550 is the answer
Step-by-step explanation:
I got it in the test
The cost of a pair of shoes was reduced from $60 to $45 by what percent did the cost of Pair of Shoes decrease
Mrs. Peabodys classroom was collecting
canned goods for a food drive. Her class set
a goal of collecting 300 cans. At the end of
the food drive, they collected 270 cans. What
percentage of their goal did they meet?
Answer:
570
Step-by-step explanation:
yan sagot ko ehh balakajan
A shop sells shakes for $2 and doublescoop cones for $3. One day they sold 8 more shakes than scoops, and made $156. How many shakes and scoops did they sell?
Answer:
x = 36 and y = 28
Step-by-step explanation:
Let she sells x shakes and y doublescoop cones
One day they sold 8 more shakes than scoops, and made $156.
ATQ,
2x+3y = 156 ..(1)
Also,
x = y+8 ..(2)
Put the value of x from (1) to equation (2)
2(y+8)+3y = 156
2y+16+3y = 156
5y = 156 - 16
5y = 140
y = 28
Put the value of y in equation (2)
x = 28+8
x = 36
Hence, they will sell 36 shakes and 28 doublescoop cones.
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5\le x \le 75≤x≤7.
Answer:
[tex]Average\ Rate = 48[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the average rate of change over [tex]5\le x \le 7[/tex]
Average rate of change is calculated using:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a \le x\le b[/tex]
In this case:
[tex]a = 5;\ \ \ b = 7[/tex]
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]
From the table:
[tex]f(7) = 108[/tex]
[tex]f(5) = 12[/tex]
The expression becomes
[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]
[tex]Average\ Rate = \frac{96}{2}[/tex]
[tex]Average\ Rate = 48[/tex]
5.
The cross-section of a triangular prism is a right-angled isosceles triangle with one of the
equal side 6cm.If the length of the prism is 82 cm, calculate the total surface area and
volume of the prism.
which is wailable from your science practical
ria
Answer:
Part A
The total surface area of the triangular prism is approximately 1715.793 cm³
Part B
The volume of the triangular prism is 1,476 cm³
Step-by-step explanation:
Part A
The given parameters are;
The shape of the cross-section of triangular prism = Right-angled isosceles triangle
The length of one the of the equal side = 6 cm
The length of the prism = 82 cm
Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm
The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm
The area of the triangular cross section of the triangular prism = 1/2 × Base × Height
∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²
The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³
The total surface area of the triangular prism ≈ 1715.793 cm³
Part B
The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism
∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.
Please help due in 10 minutes
Answer:
it is 8x+36 mgmgkgkgkgkfkf sorry about that lol it needs to be 20 words long but yea
Step-by-step explanation:
yeah the answer is c 8x+36