Answer:
$5909.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 5575 × 0.03 × 2 = 334.5
I = $ 334.50
The simple interest accumulated
on a principal of $ 5,575.00
at a rate of 3% per year
for 2 years is $ 334.50.
What is the area of the triangle?
16
10
"T
8
Answer:
40 unit^2.
Step-by-step explanation:
Area = 1/2 * base * altitude
= 1/2 * 8 * 10
= 40 unit^2.
Please select a b c or d
Answer:
a
Step-by-step explanation:
You went to dinner at Applebee’s and your bill was 12.95 you want to leave your waitress and 18% tip when you combine your bill for your food with your tip what was the total amount of money you spent on dinner round your answer to the nearest penny
Answer: Total (Bill + Tip ) = $ 16 ( Tip = 3$ )
Step-by-step explanation:
i only have the answer :3
Write an equation in point-slope form and slope-intercept form for each line.
1. passes through (4, 7), slope = 2
2. passes through (–2, –1), slope = 4
3. passes through (8, –4), slope = 1/2
Answer:
y=2x-1
y-7=2(x-4)
2x-y-1
//
y=4x+7
y--1=4(x--2) = y+1=4(x+2)
4x-y+7
//
y=1/2x-8
y--4=1(x-8) = y+4=1(x-8)
1x-y-12
Step-by-step explanation:
here u go
WHEN adding integers and the signs are different, how do you know what the sign will be?
Step-by-step explanation:
when you add integers remember that the positive integers move you to the right (so the integer will increase) and negative integers move you to the left (so the integer will decrease)
Hope this helps.
One equation in a system of linear equations has a slope of -3. The other equation has a slope of 4. How many solutions does the system have? Explain.
=============================================================
Explanation:
When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).
Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.
----------------------------
A more in-depth look (optional section)
Let's consider the system of equations shown below
[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]
For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.
Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem
y = mx+b
mx+c = mx+b ... replace y with mx+c
c = b .... subtract mx from both sides
But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.
Next, we'll consider this system of equations
[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]
The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now
y = mx+b
nx+c = mx+b
nx-mx = b-c
(n-m)x = b-c
x = (b-c)/(n-m)
Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.
In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.
A flat rate shipping box is in the shape of a rectangular prism you estimate the volume of the box 350 in.³ you measure the box and find that has a length of 10 inches a width of 9 inches and a height of 4.5 inches find the percent error round your answer to the nearest 10th of a percent
Answer:14.4
Step-by-step explanation:
Graph the inequality y<-1/3x+6.
Answer:
first point will be at (0, 6)
then from there you want to go down 1 and to the right 3 times also go up 1 and to the left 3 times (do that until you fill up your graph)
Find the value of x in the figure below 13x+8 2x+7
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
HELP PLEASE I WILL GIVE BRAINLEAST IF CORRECT
If 5th block class usually has 5 engaged students and it goes up to 9 engaged students, what is the change of percent?
Answer:
180%
Step-by-step explanation:
Im not sure I understood the problem
But 180% of 5 is 9
How many solutions does the PLEASE HELP
nonlinear system of equations graphed below
have?
10
10
10
O A. One
B. Two
C. Four
D. Three
Answer:
three hope this helps you out
The given non-linear function will have three solutions.
What is a non-linear function?A nonlinear system is a system in which the change of the output is not proportional to the change of the input.
Given is a graph of a nonlinear function, we need to find the number of the solution this function holds,
We know that the by studying the graph of any function we can deduce the number of solution,
We know that the number of times graph intersects each other is its solution,
Looking at the graph we can see that the graph is intersecting the graph three times,
Hence, the given non-linear function will have three solutions.
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10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value)
The area of the figure is
un?
Rename each fraction using a common denominator for both 1/3 1/4
Joe can jog 6 miles in one hour.How much farther than Tera can he jog in 2 hours (Tera can jog 11 miles in 2 hours)
Answer:
1 mile
Step-by-step explanation:
Joe = 6 mph
6 x 2 hours = 12 miles in 2 hours
Tera = 11 miles in 2 hours
12 - 11 = 1 mile
If y varies directly as x and x=6 when y=0.5, find y when x=10
Answer:
y = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 6 when y = 0.5 , then
0.5 = 6k ( divide both sides by 6 )
[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]
y = [tex]\frac{1}{12}[/tex] x ← equation of variation
When x = 10, then
y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]
Plz help fast will mark brainliest
Answer: -270
Step-by-step explanation:
First, simplify the exponent
[tex]-6*(25+20)[/tex]
Then, distribute
[tex]-150+-120[/tex]
Then, subtract(add a negative)
[tex]-270[/tex]
Hope it helps <3 :)
The line graph shows the amount of snowfall over a 6 hour period.
Between which hours did the least amount of snow fall?
Total Amount of Snow
1411
12
10
Amount of snow (in inches)
Hours
1
2
3
4
5
6
The least amount of snow fell between hours
and
Answer:
12 :)
Step-by-step explanation:
np
Answer:
12 :0
Step-by-step explanation:
The diameter of the wheel of a unicycle is 0.9m.
Alex tries to ride the unicycle and manages to go in a straight line for 33 full revolutions before
falling off.
h
How far did Alex manage to cycle in metres?
Give your answer rounded to 1 DP.
Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.
Answer:
Step-by-step explanation:
In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.
Work.
2x+3y=6
-3y -3y
2x=6-3y
-6 -6
2x-6=-3y
/-3 /3
-2/3x+2=y
y=-2/3x+2
Now that it is in slope intercept form, we can identify the y intercept and slope.
y-int=(0,2), slope=-2/3
I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.
find the area of a non shaded area
(2n4 - 13n3 + 32n2 – 51n – 54) = (2n – 9)
Answer:
2n-9
Step-by-step explanation:
Please answer will give brainliest
Answer:
yes
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
I can give you the formula if u want
Here is a cuboid.
All measurements are in centimetres.
x is an integer.
The total volume of the cuboid is less than
900 cm^3
Show that x < 5.
Answer:
Look below
Step-by-step explanation:
-x*3x*2x=6x^3
-6x^3<900
-(cube root both sides)
-6x<9.654893846
-divide by 6
-x=1.609148974
And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved
For given cuboid, x < 5
What is cuboid?"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."
Formula of the volume of the cuboid:V = l × w × h
where, l: length of the cuboid
w: width of the cuboid
h: height of the cuboid
For given example,
We have been given the total volume of the cuboid is less than 900 cm^3
⇒ V < 900 cm³
the length of the cuboid (l) = 3x
the width of the cuboid (w) = 2x
the height of the cuboid (h) = x
Using the formula of the volume of the cuboid,
⇒ V < 900
⇒ l × w × h < 900
⇒ (3x) × (2x) × (x) < 900
⇒ 6x³ < 900
⇒ x³ < 150
⇒ x < 5.3
⇒ x < 5
Therefore, for given cuboid, x < 5
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How Many Minutes?pls help me.
Answer:
1/2 t + 9
10.25 = 1/2 t + 9
1.25 = 1/2 t
t = 2.5
Answer: 2.5 minutes
Trigonometry:
Find cos θ.
Answer:
a
Step-by-step explanation:
formula for cos theta is ration of adjacent side to hypotenuse side
so, 28 is adjacent side.
and 53 is hypotenuse side.
Thats why the ans is A
The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The value of cosθ can be written as,
Cosθ = Base / Hypotenuse
Cosθ = 28/53
Hence, the correct option is A.
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There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write an exponential function to represent the total number of ill students, f(x), where x is the number of hours after the outbreak. How long does it take for at least 100 people to be ill with the flu?
please explain how you do the problem
thank you
Answer:
y = (10 * 0.2) ^ x
Y = (2)^x
Y = 2^x + 10
6.5 hours
Step-by-step explanation:
Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.
What are the coordinates of the point labeled Q
Answer:
I have no example to go off
Step-by-step explanation:
I NEED HELP ASAP Identify the property used:
144x12=12x144
Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION
Step-by-step explanation: the commutative property is when the numbers are basically swapped
Gl on your assignment :)
If yz = 0.7, what is the measure of α to the nearest degree?
Answer:
.9
Step-by-step explanation:
Ok so I’m using most of my points on this so fake answers will be reported understand ok good
Given :
Base area of Ms. Jones decorative pyramid = 6 inches²
Height of the decorative pyramid = 15 inches
We know that :
[tex]\color{hotpink}\tt \: volume \: of \: a \: triangular \: pyramid\color{plum} \tt \: = \frac{1}{3}Bh [/tex]
Volume of the decorative pyramid :
[tex] =\tt \frac{1}{3} \times 15 \times 6[/tex]
[tex] =\tt \frac{15 \times 6}{3} [/tex]
[tex] =\tt \frac{90}{3} [/tex]
[tex]\color{plum} =\tt 30 \: {inches}^{3} [/tex]
Therefore, the volume of the decorative pyramid with Ms. Jones = 30 inches³