I WILL GIVE BRAINLIEST. Please help!
Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate?
Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%
Answer: 2.5%
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 10/100= 0.1)
n= number of compounding periods in each year (365)
Replacing with the values given
A=250(1+0.1/1)^t/1
A=250(1.1)^t
For a interest compounded annually, n=1, compounded quarterly n= 4 (4quarters in a year )
Interest rate 0.1 /4 = 0.025= 2.5%
Answer:
9.6%
Step-by-step explanation:
yw
Please help me asap!!!!!?
Answer:
D
Step-by-step explanation:
the scale factor will be the square of the fraction
7/4 =49/16
Answer:
D
Step-by-step explanation:
A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 types of cups, 4 types of bowls, and 2 types of spoons. How many different combinations can you buy in this store of: A set of a bowl, cup, and spoon
3x-2=16 pls help!!!!!!!
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 16
3x = 16 + 2
3x = 18
x = 18/3
x = 6
Answer:
x=6
Step-by-step explanation:
3x-2=16
+2 +2
3x = 18
÷3 ÷3
x=6
Which diagram is NOT a good model of 2 ÷ 18? Math item response image Math item response image Math item response image (I don't know how to paste the images.) PLEASE ANSWER ASAP!! Thanks!!
Answer:
when you wrote question there will be pin sign then you will attach any image easily
Step-by-step explanation:
Answer:
Its the triangle one
Step-by-step explanation:
Just count them and you will see there are only 7 not 8 :)
A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides a side of the larger square into two segments, one of length a and the other of length b. What is the value of ab?
Answer:
ab = 1/2.
Step-by-step explanation:
The sides of the large square have length √5 while the sides of the small one have sides of length 2.
Each corner has a right triangle with legs of length a and b and hypotenuse 2.
So we have the system
a + b = √5
a^2 + b^2 = 2^2 = 4
Using the identity a^2 + b^2 = (a + b)^2 - 2ab:
4 = (√5)^2 - 2ab
4 = 5 - 2ab
2ab = 5 - 4 = 1
ab = 1/2.
Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation y=400+32x . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change per minute in the amount of water in the pond? What was the starting amount of water in the pond?
Answer:
32400Step-by-step explanation:
Lets start by defining the numbers in the equation.
This equation is in slope-intercept form meaning that it is y=mx+b or y = b+mx they are both the same
In slope-intercept form,
m = slope or rateand b = y-intercept
Th equation is y=400+32x so now we know
b=400and m=32For the first question the change per minute is the rate so it is 32.
For the second question the starting amount is the same as the y-intercept so it is 400.
Which number added to a rational number will always result in an irrational number?
Answer:
The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.
Step-by-step explanation:
A)x 1/9
B)x 1/6
C)x^6
D) x^9
Please explain in simple terms how you would solve this please!!
Answer:
Answer should be x^9
Step-by-step explanation:
This equation looks really complicted, but it's actually much easier when you break it down! First, your going to multiply the fraction 3/2 by 6 - since one is a fraction, youre going to find the GCF, or Greatest Common Factor, and reduce it. The GCF in this equation is 2, so we eliminate the two from the fraction (making it just 3) and divide 6 by 2 (getting 3). Thus, we are left with (x^3)^3 -> 3 x 3 = 9. So we are left with x^9. I hope this helps!
Select the reason why these triangles are similar. If they are not, select “not similar”
Answer:
B. SAS
Step-by-step explanation:
3/1= 2.25/075
The 2 sides are congruent and the angle between them is common
B. SAS is the answer
please help asap !!!!!!
Answer:
A.
Step-by-step explanation:
[tex]\sqrt{10} *\sqrt{8}\\ \sqrt{10}*\sqrt{2*4}\\\sqrt{10}*2\sqrt{2}\\2\sqrt{2*10}\\2\sqrt{20}\\ 2\sqrt{4*5} \\4\sqrt{5}[/tex]
PLEASE ANSWER ASAPPPPPP! What is the quotient of 6 and -1/2.
Answer:
-12
Step-by-step explanation:
6 ÷ -1/2
Copy dot flip
6 * -2/1
-12
HELP PLEASE!!! I need your guys help on this question.
Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
Answer:
The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²
The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
Step-by-step explanation:
First trapezoid (left):
Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.
a = 7
b = 13
h = [tex]\sqrt{55}[/tex] ([tex]3^{2}+h^{2} = 8^{2}[/tex])
Plug into the equation:
[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]
A = [tex]10\sqrt{55}[/tex] or ≈74.2m²
Second trapezoid (right):
Not a normal trapezoid (split into a triangle and a square)
Let's solve for the triangle first:
using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6
because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]
Now we can calculate the area of the figure:
Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]
Rectangle is 6 * 9 = 54
Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²
Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Answer:
Answer is D.9Step-by-step explanation:
The number of tennis balls, P(n) , in n layers of the square pyramid is given. by: P(n) = P(n - 1) + n ^ 2As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So, P(1) = 1Now, if n = 2 , then P(2)=P(2 - 1)+ (2) ^ 2 = P(1) + 4 = 1 + 4 = 5If n = 3 , then P(3)=P(3 - 1)+ (3) ^ 2 = P(2) + 9 = 5 + 9 = 1414If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 3014If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 30That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30,14If n = 4 then P(4)=P(4 - 1)+ (4) ^ 2 = P(3) + 16 = 14 + 16 = 30That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30,So, the number of tennis balls that Coach Kunal could not have is 9.Which of the following are identities?
Answer:
A. III only
Step-by-step explanation:
In mathematics, an identity is one of the characteristics of algebraic expressions.
Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.
Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.
In the above question, we are given 3 Options.
I) 3(5 + 2x) = 15 + 6x
II) y = x + 3
III) (x² - y²) = (x + y) (x - y)
Option I) 3(5 + 2x) = 15 + 6x
Is showing distributive property in mathematics.
Distributive property is :
a(b + c) = ab + ac
Option I is not an identity , therefore it is wrong.
Option II) y = x + 3 is just an algebraic expression.
Only Option III is an identity. This is because it follows the rule of
(a² - b²) = (a + b) (a - b)
We can prove and confirm this be solving the algebraic expression
(x + y) (x - y)
We expand the bracket
x² - xy +xy - y²
x² - y²
Therefore, option A is the correct option.
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
40 cm
Step-by-step explanation:
the 414cm2 is eso they
Which statement best describes Cheryl's commute? A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph. B. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes. C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph. D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
Answer:
C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
Step-by-step explanation:
Assume the graph of Cheryl's commute was like the one below.
We see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5,5 min later) her speed was still 65 mph, so she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, so she was decelerating.
Answer:
D
Step-by-step explanation:
on Edmentum
Find the equation of the line
Answer: y = -6x + 5
Step-by-step explanation:
equastion is y = dx + e
+) Because it perpendicular y = \dfrac{1}{6} x + 3
d \times \dfrac{1}{6} = -1
<=> d = -1 : \dfrac{1}{6}
<=> d = -6
=> y = -6x + e;
+) Because it contains the point (-3; 23)
=> 23 = -6 \times (-3) + e
<=> e = 5
=> y = -6x + 5
Write the slope-intercept form of the equation that passes through the point (0,-3) and is perpendicular to the line y = 2x - 6 a. y = -2x + 3 b. y = 2x - 3 c. y = -1/2x - 3 d. y = -1/2x + 3
Answer:
y = (-1/2)x - 3
Step-by-step explanation:
The line y = 2x - 6 has a slope of 2 and so any line perpendicular to it has a slope which is the negative reciprocal of 2: -1/2.
If this perpendicular line passes through (0, -3), then the slope-intercept equation y = mx + b becomes -3 = (-1/2)(0) + b, or -3 = b, and the desired
equation is
y = (-1/2)x - 3
Which of the following list of ordered pairs is a function?
Answer:
C
Step-by-step explanation:
A. (4, 0) and (4, 3) have the same x coordinate (Can't happen in a function).
B. (2, 5) and (2, 1) have the same x coordinate.
C. It passes the vertical line test on a graph and no x is repeated.
D. (2, 3) and (2, 5) share the same x coordinate.
Answer:
c is correct answer.
a function from set A (x coordinate) to set B (y coordinate) a special type of relation defined from set A to set B if every element of set A is mapped with unique element of set B.
Which of the following is equivalent to
Answer: C
Step-by-step explanation:
This is the answer because you have to multiply (x-1) on both sides and that will cancel out the denominator on the right. Then, multiply by x on both sides and that will cancel the denominator on the left side. When you do this, C should be your answer. Hope this helps :)
Answer:
the third oneStep-by-step explanation:
[tex]\dfrac{5x+2}x=\dfrac{-12}{x-1}\\\\{}\quad\ \cdot x\qquad\ \cdot x\\\\5x+2\ =\ \dfrac{-12x}{x-1}\\\\\cdot (x-1)\quad \cdot (x-1)\\\\(5x+2)(x-1)=-12x[/tex]
Which equation has only one solution?
|x - 5= -1
|-6 - 2x1 = 8
5x+ 10 = 10
|-6x + 31 = 0
Answer:
5x + 10 = 10
Step-by-step explanation:
5x + 10 = 10
5x = 10 - 10
5x = 0
x = 0/5
x = 0
Only one solution.
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
Answer:
Let humans be x and horses be y
Both have one head each,so x+y=74 (1)
Humans have 2 legs each and horses 4 legs each…… so 2x+4y=196 (2)
In first equation x+y=74 then y=74~x (3) ……… .By solving both equations we have as under… x+3y=122 x=122-3y (4)…. Now in equation 4 we put the value of y taken from equation 3 so it will be x=122~3(74-x)…. x=122-222+3x…………. bringing x on one side x-3x=122~222 therefore -2x=~100….. x=50… put the value of x in first equation… x+y=74… 50+y=74… y=74~50…..… y=24… Now it is concluded that Humans are 50 and Horses are 24.. Now you put the values of x & y in 1st and 2nd equation … you will get x+y=74.. 50+24=74………..2x+4y=196…2×50+4×24=196.. it is proved thru equation.
y=k/x, when y=2, x=5 a) Calculate the value of k b) Calculate the value of x when y=0.5.
Answer:
a.) k = 10
b.) x = 20
Step-by-step explanation:
Step 1: Plug in variables and calculate for k
2 = k/5
10 = k
Step 2: Plug in variables and calculate for x
0.5 = 10/x
0.5x = 10
x = 20
What is the solution to the system of equations graphed below?
Answer: C. (1, 4)
Step-by-step explanation:
The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).
a. 1620
b. 180
c. 38
d. 29
Answer:
V =1620 pi cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 9)^2 * 20
V =1620 pi cm^2
(NEED HELP ASAP)Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find new car buyers' opinions on the most important options. Question 7 options: survey observational study experiment
Answer: The answer is "experiment."
Step-by-step explanation:
This procedure is being used in order to validate a hypothesis, particularly in a research study. In the situation above, you have to validate whether a new reading program can increase reading comprehension or not.
The experiment consists of independent, dependent, and controlled variables. The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.
The dependent variable above is reading comprehension, while the new reading program is the independent variable. Examples of controlled variables are the ages of the participants. The age directly affects the reading comprehension, thus it has to be considered.
What is the volume of a cylinder with a height of 17 cm and a base radius of 7 cm to the nearest 10th
Answer:
Step-by-step explanation:
volume =πr²h=π×7²×17≈2616.9 cm³
The volume of a cylinder is 2616.95 cubic centimeters.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
The height of the cylinder h = 17 cm
Base radius of the cylinder r = 7 cm
We know the volume of a cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
[tex]\rm V = \pi\times 7^2\times17[/tex]
V = 833π cubic centimeters
V = 833×3.141592
V = 2616.94668 cubic centimeters or
V = 2616.95 cubic centimeters.
Thus, the volume of a cylinder is 2616.95 cubic centimeters.
Learn more about the volume here:
https://brainly.com/question/16788902
air flows through a duct at 2400 cubic feet per minute after several feet in a few vent the air flow decreases to 1680 cubic feet what is the percent drop that has occurred
Answer:
I think the answer is 7.2%
Step-by-step explanation:
2400-1680=720
720/100=7.2
7.2 is the answer
Hope this helps!
how many eights are in 4 3/8