Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
Write the equation of the line in fully simplified slope-intercept form.
PLEASE HELP I WILL GIVE BRAINLiST
Write the equation of the circle graphed below.
Answer:
(x+5)²+(y+5)²=18
Step-by-step explanation:
r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9
=√18
the equation is :
(x+5)²+(y+5)²=18
what is the area of B1, =4,B2 =8, h =2
Answer: 12
Step-by-step explanation:
In circle S with \text{m} \angle RUT= 30m∠RUT=30, find the \text{m} \angle RSTm∠RST.
Answer:
m∠RST= m RT= 60°
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
m RT=2 m∠ROT= 2 (30)=60°✎--------------
hope it helps...
have a great day!!
Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?
Answer:
$1076.36
Step-by-step explanation:
The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by 0.0875($989.76)
which can be combined to obtain the total cost: (1.0875)($989.76) = $1076.36
what is the degree of polynomial
f (x) = 2x² - 5x+6 ?
Answer:
2
Step-by-step explanation:
The degree of a polynomial is its highest exponent value: in this case, thats just two!
Answer:
degree 2
Step-by-step explanation:
The degree of a polynomial is determined by the largest value of the exponent attached to the variable.
f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then
f(x) is a polynomial of degree 2
HELP ON PAGE 25 POINTS
Answer:
Part A: ≈112.06
Part B: B
Step-by-step explanation:
Find the surface area and volume for the separate shapes, then add them up together
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Have a good day :)
WILL MARK BRAINLIEST
Answer:
1 sample
Step-by-step explanation:
There is only one sample given for 20%
Answer:
the answer would be
b) 1 sample
HELP ME PLEASEEEEEEEEEEEE
Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12
Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
5.6 cm
8.2 cm
Area =_______
Answer:
Hello! answer: 22.96
Step-by-step explanation:
Area is base × height × 1/2 or base × height ÷ 2
Im going to use the second method.
8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96
Please help me I really need this
Answer:
y-intercept = 2 so it’s the first answer option
Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.
(3^2+4−2)(2^2−3−4) can you guys please solve this for me please.
Answer:
-33
Step-by-step explanation:
[tex](3^2+4-2)(2^2-3-4)[/tex]
[tex](9+4-2)(4-3-4)[/tex]
[tex](13-2)(1-4)[/tex]
[tex](11)[/tex] · [tex](-3)[/tex]
(-33)
between which two consecutive numbers does the square root below lie ?
[tex] - \sqrt{128} [/tex]
Answer:
where is the second one?
Step-by-step explanation:
find nth term of -15,-18,-21.....
Answer:
I think the question is from Sequence.
on the basis that I have studied I think this is the way. if I am wrong sorry
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
The three point line on a basketball court forms a semi circle. For middle school, it has a diameter of 34 feet. What is the area of the semi circle?
Answer:[tex]454.019\ ft^2[/tex]
Step-by-step explanation:
Given
Diameter of semi-circle is [tex]d=34\ ft[/tex]
So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]
Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]
[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]
Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answer:
Step-by-step explanation:
kk
What is the simplified form of 4 X ? 3 + 7?
Answer:
4x(10)
Step-by-step explanation:
add 3+7=10
4x is multiplying 3+7=10
4x(10)
what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help
Answer:
150.86
Step-by-step explanation:
to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!
Help please I don't understand.
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Explanation:
If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.
Furthermore, it means triangle WXY would be a right triangle.
Effectively, we need to find out if triangle WXY is a right triangle.
Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.
We have these side lengths of the triangle:
XY = 9.6WX = WZ+ZW = 6.4+6.4 = 12.8YW = 16Let's say a = 9.6, b = 12.8 and c = 16
The order of 'a' and b doesn't matter. All that matters is that c is the longest side.
Plug those values into the pythagorean theorem and simplify each side.
a^2+b^2 = c^2
(9.6)^2 + (12.8)^2 = (16)^2
92.16 + 163.84 = 256
256 = 256
We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.
Find the midpoint and distance of the line segment AB connecting the two points: A(- 4, 5) and B(0, 8)
John receives a $20000 salary for working as an agent. If John has to spend $11000 of his salary on expenses each year, then what percent of John's money does he have to spend?
Answer:
55%
Step-by-step explanation:
Percent spent = (amount spent / total income) x 100
( $11000 / $20000) x 100 = 55%
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
please anyone help asap
Answer:
Hi there! The correct answer should be: x is 60 degrees
Step-by-step explanation:
okay, so the equation is:
2x + 60 = 180
which we will solve:
2x + 60 - 60 = 180 - 60
2x = 120
x = 60
I WILL MARK BRAINLEST IF YOU HELP ME
Answer:
Step-by-step explanation:
top left r= 0.9 ; top right r= 0.4
bottom left r=0; bottom right r= -0.4
if they are not around a line looking like r=0
if they resemble a line well is close to r=1
if line goes up from left to right is r positive
if line goes down from left to right is r negative
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Step-by-step explanation:
Write what you know
mean is: Sum of all data points / Number of data points
any unknown number we'll call x
so youd write
(x + $3191) / 2 = $4444
Solve for x
let me know if you need further help
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
Use the Law of Sines to solve for the variable. Round your answer to the
nearest whole number. Write the value only. *
Answer:
y ≈ 61
Step-by-step explanation:
Using the Sine rule in the triangle
[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )
y × sin18° = 21 × sin117° ( divide both sides by sin18° )
y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )