Faith invested $4,100 in an account paying an interest rate of 2.6%
compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach
$5,290?
Answer:
1 year (10 months)
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I got it right
Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?
Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
What is the measure of 1?
Answer:
1
Step-by-step explanation:
pls mark brainliest
answer:
attach a picture so that we can answer your question. we need to see 1.
please help me with this
those are the answer choices! ^
question: what is the order of operations needed to evaluate the expression 4(5)- 8 (divided) 2?
Answer:
I think its c bc (PEMDAS) shoes multiplication comes first
Answer:
I also think it's. C
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Can someone help please (7th grade math)
dude I'm six grade and I think it's c
PLEASE HELP!!
Which inequality describes all the solutions to -5x + 6 -9
B. x 4
Answer:
-5x-3
Step-by-step explanation:
-5x+6-9=-5x-3
The inequality that describes all the solutions to the given inequality expression is x > 4
Given the inequality expression -5x + 6 < 2(-3 − x)
Expand the right-hand side of the ineqality
-5x + 6 < -6 - 2x
Collect the like terms
-5x + 2x < -6 - 6
-3x < -12
Divide both sides by -3
-3x/-3 > -12/-3
x > 4
Hence the inequality that describes all the solutions to the given inequality expression is x > 4
Learn more here: https://brainly.com/question/15816805
Please help me. I really don't know dis
Answer:
I would do C because 2/3 is close to a whole so then you would get -3 and 1/4 is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert €32 to pounds.
help pleaseeee!
The graph of a quadratic function is shown on the grid. 2 HE . Which equation best represents the axis of symmetry?
Answer:
Step-by-step explanation:When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical. The graph of the parabola represented by the quadratic function y = a( x - p )2 + q has an axis of symmetry represented by the equation of the vertical line x = p.
Answer:
x=2
Step-by-step explanation:
symmetry= the hightest number x value. basically the halo of the quadratic.
Can a triangle be formed using the side lengths of 8 ft, 6 ft, and 4ft? If so, classify the triangle.
Yes, a triangle can be formed using those side lengths. This is because when using Triangle Inequality Theorem, any two side lengths added together is greater than the third side. The triangle is also scalene since none of the sides have the same measure.
2(10) + 2(x - 4) please help.
Answer:
MARK ME AS A BRAINLIST AND FOLLOW MEP and q are points on the line y=2-4X
Draw the line y= 2-4X for vales of x from -2 to 2
Answer:
`The answer is below
Step-by-step explanation:
P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)
Draw the line y= 2-4X for vales of x from -2 to 2
Solution:
The equation of a line is given by:
y = mx + b
Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).
The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.
x: -2 -1 0 1 2
y: 10 6 2 -2 -6
The value P(0, ) Q( ,0)
The y coordinate of point P is gotten by substituting x = 0:
y = 2 - 4(0) = 2
P = (0, 2)
The x coordinate of point Q is gotten by substituting y = 0:
0 = 2 - 4x
4x = 2
x = 0.5
Q = (0.5, 0)
Which of these is not a method to solve systems of
equations?
-Substitution method
-Graphing method
-Addition method
-Difference of squares method
Answer:
Fourth option
Step-by-step explanation:
The answer is the fourth option "difference of squares method." It's not the first option because the substitution method is when you pick one of the equation in a system of equations, solve it for a variable and then plug the variable into the other equation to help solve. It's not the second option because the graphing method is used to solve a system of equations by graphing the equations on the same coordinate plane, it's not the third option because the addition method is also known as the elimination method which is the third method to solving a system of equations. Therefore your answer is the fourth option.
Hope this helps.
Which inequality is true?
b TCR
d 5 > 1
C
Answer:
A-R<S
Step-by-step explanation:
what is the absolute value of -6 please help
Answer:
6
Step-by-step explanation:
its 6
Henry is making a corn grits-recipe that calls for .25 cup of corn grits for every .5 cup of water. How much water will he need if he uses 1.5 cups of corn grits.
If you can please explain it.
Answer:
3 cups
Step-by-step explanation:
(.25)(6) = 1.5 cups of corn grits then I did (.5)(6) which equals 3 cups of water
find x and what type of angle is this?
Answer:
a) x = 12
b) right triangle
Step-by-step explanation:
a) 2x + 1 + 5x + 5 + 90 = 180
7x + 96 = 180
180 - 96 = 84
84 / 7 = 12
x = 12
b) you can tell that it is a right triangle because of the square in the corner that indicates it is a right triangle
You buy 3 bags of sand and 5 bags of pea gravel for $26. In a second purchase (at the same prices), you buy 4 bags of sand for $8. Let z represent the price in dollars) per bag of sand
and let y represent the price in dollars) per bag of pea gravel Use a graph to find the price per bag of sand and the price per bag of pea gravel
Line
Undo
Redo
Reset
Answer:
2z and 4y
Step-by-step explanation:
We first have to use the second purchase to figure this out, if 4 bags of sand is $8. We have to divide 8 by 4, which we get $2. We use this to find the bags of pea gravel. Since you bought 3 bags, 3 times 2 is 6. We subtract 6 from 26 leading to 20 dollars. We also buy 5 bags of pea gravel so we have two numbers, 20 and 5. We divide 20 and 5 and we get 4 dollars for 1 bag of pea gravel. If this is not what you meant I apologise.
A regular polygon has 12 sides find the size of each of its interior angles
Answer:
150°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° ( n - 2) ← n is the number of sides
Here n = 12, then
sum = 180° × 10 = 1800°
Since there are 12 interior angles, then
size of each interior angle = 1800° ÷ 12 = 150°
PLEASE HELP!!! THIS IS MY LAST QUESTION!!!! PLEASE!
Answer:
2, -2, 0
hope it's right :)
There are 3 “bumps” on the graph ( the u and upside down u shaped parts)
This degrees are the number of bumps + 1
So this graph has 4 degrees.
The arrows at the ends are pointing up so the sign is positive
+, 4th
please help with this
A man receives a rate of $3.00 per hour for a 40-hour work week. If he receives 1.5 times the regular rate for overtime, how much will he earn working a 50-hour week?
Answer:
I NEED THE SAME ANSWER
Step-by-step explanation:
Alice gets a job selling boots, and is given the option of wages plus commission, or commission only. In the first option, she would earn $33 in wages for each day of work, plus $2.50 for every pair of boots sold. Under the commission only option, she would earn no wages, and $3.25 for every pair of boots sold. How many pairs of boots would Alice have to sell in one day to make the two options equal?
Answer:
44 pairs of boots
Step-by-step explanation:
As per two options given to Alice,
1). Wages of $33 for each day work + commission of $2.5 for every pair sold.
If Alice sells x pairs of boots in a day, then total amount earned by Alice,
= (33 + 2.5x)
2). Commission of $3.25 for every boot sold.
If Alice sold x pairs of boots, total earnings of the day = 3.25x
If earning of Alice is equal in both the plans,
(33 + 2.5x) = 3.25x
3.25x - 2.5x = 33
0.75x = 33
x = 44
Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.
Please help please!!
can i plz get some help
In which quadrant does 694 lie?
Answer: C. quadrant l
Step-by-step explanation:
Angle 694° lies Quadrant IV which is correct option (D)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
For Quadrant I : the value of x and y both are positive ( +,+ )
For Quadrant II : the value of x is negative and y is positive ( -,+ )
For Quadrant III : the value of x is negative and y is negative ( -, - )
For Quadrant IV : the value of x is positive and y is negative ( +, - )
Locate the quadrant of the angle.
If the angle is greater than 360°,
Subtract 360° until the angle is less than 360°.
⇒ 694 - 360
⇒ 334°
Hence, angle 694° lies Quadrant IV
Learn more about the quadrant of graph here:
https://brainly.com/question/7196312
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What input will result in an output of 12 for the following functions d(x) = 2x -4
Answer:
8
Step-by-step explanation:
12=2x-4
12+4 = 2x
16 = 2x
16/2 =x
x =8
check
d(x) = 2(8)-4
=16-4
=12
What stamens are true help please
Write the x and y coordinates for points A, B, C, D, E,F,G,H
Answer:
A = (0, 1)
B = (2, 3)
C = (5, 7)
D = (8, 1)
E = (5, 0)
F = (-6, 5)
G = (-5, -2)
H = (-3, -6)