Answer: $191.45
Step-by-step explanation:
This question requires the price of a bike in future so you can use the future value formula to calculate it:
Future value = Amount * (1 + rate)^ no. of periods
= 350 * (1 - 14%)⁴
= 350 * 0.54700816
= $191.45
The rate is subtracted from 1 instead of being added to represent that the value is decreasing not increasing.
Using the graph, determine the equation of the axis of symmetry
A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.
Answer:
4.4cm
Step-by-step explanation:
The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.
Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.
We can set up an equation V = [tex]\pi r^{2}h[/tex]
If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]
If we divide both sides be 8pi and square root both sides after that, we can find the value of r.
[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]
To the nearest tenth, the radius would round up, yielding 4.4cm
1. Which of the following is the equation of a circle with center (a, −b) and radius r?
A. (x−a)2+(y+b)2=r2
B. (x+a)2+(y−b)2=r2
C. (x+a)2+(y−b)2=r
D. (x−a)2+(y+b)2=r
2. A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (2, 1)
Answer:
1) A
2) D
Step-by-step explanation:
1) The equation of a circle is (x-h)²+(y-k)²=r² where (h,k) is the center and "r" is the radius of the circle. With a center of (a,-b) the equation of the circle is (x-a)²+(y+b)²=r² making A the correct answer.
2) Convert from general form into standard form:
Given: x²+y²-4x-2y+4=1
Rearrange: x²-4x+4+y²-2y=1
Set right side equal to 0: x²-4x+4+y²-2y-1=0
Complete the square: x²-4x+4+y²-2y-1+2=0+2
Evaluate: x²-4x+4+y²-2y+1=2
Condense: (x-2)²+(y-1)²=2
Therefore, the center of the circle is D) (2,1)
HELP HELP HELP!!!!!!!
Answer:
b = 77
Step-by-step explanation:
a² + b² = c²
36² + b² = 85²
1296 + b² = 7225
b² = 7225 - 1296
b² = 5929
[tex]\sqrt{b^2} =\sqrt{5929}[/tex]
b = 77
I need the answer ASAP please
Help Please! :((( answer correctly please
Answer:
ILOVEMATH
10 = 90
11 = 35
12 = 16
13 = 200000
14 = 19
Step-by-step explanation:
(Geometry)
Name each triangle by the lengths of it’s sides.
a) 3 in., 5 in., 3 in.
b) 14 cm, 9 cm, 8 cm
c) 24 mm, 24 mm, 24 mm
d) 12 ft., 12 ft., 15 ft.
e) 7 mi., 6 mi., 5 mi.
f) 32 m, 48 m, 48 m
Answer:
A)Isosceles Triangle
B)Scalene Triangle
C)Equilateral Triangle
D)Isosceles Triangle
E)Scalene Triangle
F)Isosceles Triangle
Step-by-step explanation:
Helped me out with the triangles on the bottom but remember
all sides diffrent= Scalene Triangle
All sides the same = Equilateral Triangle
Only 2 sides the same = Isosceles Triangle
a
b
c
d
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
it's not A or D
Step-by-step explanation:
math I guessssssss
Answer:
D
Step-by-step explanation:q
If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.
Since the side opposite is 12, the hypotenuse is easily found.
1/2 = opposite / hypotenuse
1/2 = 12 / hypotenuse Cross multiply
hypotenuse = 2 * 12
hypotenuse = 24
Now use the Pythagorean Theorem to get the third side.
c = 24
a = 12
b = ?
a^2 + b^2 = c^2
12^2 + b^2 = 24^2
144 + b^2 = 576 Subtract 144 from both sides.
b^2 = 576 - 144
b^2 = 432
Now you have to factor 432 down to its primes
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.
sqrt(b^2) = sqrt(432)
b = 4 * 3sqrt(sqrt(3))
b = 12 sqrt(3)
Answer
r = 12*sqrt(3)
t = 24
The answer is D
For which value of p and q does the following pair of linear equations have an infinite
number of solutions?
2x + 3y = 7
( p-q ) x + (p+q) y = 3 p + q -2
Answer:
[tex]p =2.5[/tex]
[tex]q = 0.5[/tex]
Step-by-step explanation:
Given
[tex]2x + 3y = 7[/tex]
[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
Required
Find p and q
To do this, we make direct comparison between the given expressions.
[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]
This implies that:
[tex](p - q)x = 2x[/tex]
[tex](p+q)y = 3y[/tex]
[tex]3(p + q) - 2 = 7[/tex]
So, we have:
[tex]p - q = 2[/tex] --- (1)
[tex]p+q =3[/tex] -- (2)
[tex]3(p + q) - 2 = 7[/tex] --- (3)
If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.
So, we only solve [tex](1)\ and\ (2)[/tex]
Add (1) and (2) to eliminate q
[tex]p+p-q+q=2+3[/tex]
[tex]2p=5[/tex]
Solve for p
[tex]p = 5/2[/tex]
[tex]p =2.5[/tex]
Substitute [tex]p =2.5[/tex] in (2)
[tex]p+q =3[/tex]
[tex]q = 3 - p[/tex]
[tex]q = 3 - 2.5[/tex]
[tex]q = 0.5[/tex]
BRAINLIEST Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6,700 pounds of fish? 2.5% 5% 15.87% 31.74%
Answer:
I think it is C 15.87%
Step-by-step explanation:
Suppose the volume of a rectangular pyramid is 45 cubic cm. What is the volume of a rectangular prism with the same base area and height? * 1 point A 15 cubic cm B 45 cubic cm C 90 cubic cm D 135 cubic cm
Answer:
15 cm³
Step-by-step explanation:
1/3(45) = 15
Someone help plz, plz make sure it’s right if it is will mark brainiest :)
Answer:
Step-by-step explanation:
I really don’t know but I think you have to find the hypothenuse first then you can do the rest
Answer:
Step-by-step explanation:
"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
6
Answer:
53°
Step-by-step explanation:
Let m∠BCA = 'x'
Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.
Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.
90 - 37 = 53
Hence, the answer is 53°
Can someone plz help me
Answer:
24°
Step-by-step explanation:
Supplementary angles: angles that add up to 180°
Thus, ∠A + ∠B = 180°
=> (x + 6)° + (7x + 30)° = 180°
=> 8x + 36 = 180
=> 8x = 180 - 36
=> 8x = 144
=> x = 18
∠A = (18 + 6)° = 24°
is 6:4 and 4:3 equivalent ratios?
Answer:
nooooo
Step-by-step explanation:
an equivalent ratio to 6:4 would be 3:2 and an equivalent ratio for 4:3 would be 8:6
hope this helps! :)
The ratios 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.
What are ratios and proportions?A proportion is a statement that two ratios are equal. It compares two ratios and states that they are equivalent.
No, the ratios of 6:4 and 4:3 are not similar. We must reduce each ratio to its simplest form in order to determine whether two ratios are equivalent (by dividing both the numerator and denominator by their greatest common factor).
For 6:4, the greatest common factor is 2, so we can simplify to:
6:4 = 3:2
For 4:3, there are no common factors other than 1, so it is already in its simplest form.
Since 3:2 and 4:3 are not the same ratio, we can conclude that 6:4 and 4:3 are not equivalent ratios.
To know more about ratios and proportions follow
https://brainly.com/question/29038325
#SPJ2
Is a acute triangle regular?
Answer:
An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.
Step-by-step explanation:
hope this helped and can u plz mark me brainlest
HELP ME AND NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
C
Step-by-step explanation:
b and c are wrong cuz we can see that some dogs weighed 20 pounds
D is wrong cuz the iqr is not affected by extreme values and is focused on the 25th and 75th percentile of the values
Camila owns a car worth $5,900 and owes $2,800 on the car loan. She has $1,600 in her bank account and $5,210 in a savings account. She has a balance of $1,400 on her credit card. What is her net worth?
Answer:
[tex]Net\ Worth=11310[/tex]
Step-by-step explanation:
From the question we are told that:
Car worth [tex]C=5900\$[/tex]
Car Loan[tex]L=2800\$[/tex]
Bank account [tex]B= 1600\%[/tex]
Savings account [tex]S=5210\&[/tex]
Credit card [tex]CC=1400\%[/tex]
Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.
Therefore
[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]
[tex]Net\ Worth=11310[/tex]
Answer:
6tvuyrfrd
Step-by-step explanation:
What is the volume of a sphere with a radius of 2.6 ft, rounded to the nearest tenth of
a cubic foot?
Answer:73.6fr^3
Step-by-step explanation:
The volume of the sphere is [tex]73.57ft^3[/tex].
What is the volume of sphere?
The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre.
[tex]V=\frac{4}{3}\pi r^3[/tex]
here [tex]r[/tex] is the radius and it is [tex]r=2.6ft[/tex]
So,
[tex]V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}(3.14)(2.6)^3\\\\V=\frac{4}{3}(3.14)(17.576)\\\\V=\frac{4(55.18)}{3}\\\\V=\frac{220.72}{3}\\\\V=73.57ft^3[/tex]
Hence, the volume of the sphere is [tex]73.57ft^3[/tex].
To know more about the volume of sphere
https://brainly.com/question/16686115
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Find x and y ( please explain )
Answer:
y = 75°
Step-by-step explanation:
y and 105°
are on a straight line ,
a straight line is 180°
180 - 105 = 75°
y=75 °
I'm not sure about x hope you understand
Solve the equation below for m.
3
Answer: 30
Step-by-step explanation:
3(0.3m + 6) + m =75
(0.3 x 3 = 0.9)
(6 x 3 = 18)
0.9m + 18 + m = 75
0.9m + m + 18 = 75
(m=1)
1.9m + 18 = 75
1.9m = 75 - 18
1.9m = 57
m = 57÷ 1.9
m = 30
Simplify the following [³√64a³]-¹
Which equation represents the parent function translated to the right 4 units and stretched by a factor of 5?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. So, I will solve a general solution, instead.
Let (x,y) be the parent function
First transformation: 4 unit right translation
The rule to this is: [tex](x,y) \to (x + b,y)[/tex]
Where b is the units of translation
i.e. [tex]b = 4[/tex]
So, we have;
[tex](x,y) \to (x + 4,y)[/tex]
Second transformation: Stretch by a factor of 5
The rule to this is: [tex](x,y) \to (x ,ay)[/tex]
Where a is the units of translation
i.e. [tex]a = 5[/tex]
So, we have;
[tex](x + 4,y) \to (x+4,5y)[/tex]
Hence, the transformation from the parent function to the new function is:
[tex](x + 4,y) \to (x+4,5y)[/tex]
giving out brainiest for whoever gets it right!
Mandy made a circular ower garden with a diameter of 7 feet. She wants to put a fence around the outside of the
garden. About how much fence does
Mandy need to buy? (Use 3.14 for .)
A. 11 feet B. 22 feet
C. 38 feet D. 44 feet
NO LINKS OR SPAMMING IF U DO U WILL BE BLOCKED AND REPORTED!
Answer:
b. 22
Step-by-step explanation:
7 x 3.14 = 21.95
( 22 because you cannot buy half of one so you have to round it)
21.95 - 22
A shoe company started a website 2 years ago. The first year, the website received h hits. The second year, it received 132 % of the hits it received the first year. Which expression will result in the number of hits the company's website received the 2 nd year? 1 + 0.32 h 1 plus 0 point 3 2 h, 1.32 h 1 point 3 2 h, ( 1 + 1.32 ) h open paren 1 plus 1 point 3 2 close paren times h, h + 1.32 h , h plus 1 point 3 2 h,
Answer:
B. 1.32 h : 1 point 3 2 h
Step-by-step explanation:
Year 1 = h hits
Year 2 = 132 % of the hits it received the first year
Number of hits the company's website received the 2nd year = 132% of h
= 132/100 × h
= 1.32 × h
= 1.32h
A. 1 + 0.32h : 1 plus 0 point 3 2 h,
B. 1.32 h : 1 point 3 2 h,
C. ( 1 + 1.32 ) h : open paren 1 plus 1 point 3 2 close paren times h,
D. h + 1.32 h : h plus 1 point 3 2 h,
Find the surface area of the sphere with a radius of 5.
Answer:
Step-by-step explanation:
Answer:
314.16
Step-by-step explanation:
4πr^2
4π(25)
100π
= 314.16
Mr. Perrins’s class sold packs of peanut butter cookies for $2.35 each and Mr. Woods’s class sold bottles of milk for $1.34 each. Together, the classes sold 73 items and earned $141.25 for their school. Write and solve a system of equations that model the problem. Show all your work. (a) Which class earned more money? (b) How much more money did that class earn?
Answer:
1. Solution = (4,3) and they intersect.
2. Solution = Infinite, this means that the lines overlap each other constantly.
3. Equations = x + y=73 and 2.35x + 1.34y = 141.25
PB Cookies made $101.05
Milk Bottles made $40.02
The cookies made more by $61.03
Step-by-step explanation:
Took the test and got 100%.
How many flowers, spaced every 3 in., are needed to surround a circular garden with a 125 -ft radius? Use 3.14 for (the pie symbol).
Answer:
785
Step-by-step explanation:
flowers needed to surround the garden = circumference of the garden / space
circumference of a circle = 2nr
n = 3.14
r = radius
The radius is in ft and the space is in inches. i would convert the ft to inches to aid comparability
1ft = 12 inches
125 x 3 = 375
2 x 3.14 x 375 = 2355
flowers needed = 2355 / 3 = 785
Which equation is written in slope-intercept form?
2x + 3y =5
2 x= 4y - 7
y-3 = 2(x - 1)
y= 3x +2
Answer:
y=3x+2
Step-by-step explanation:
slope intercept form
y=mx+b
y=y coordinate
m=slope
x=x coordinate
b= y-intercept
In the following equations, what would you multiply the second equation to
eliminate the "x"? *(PLEASE I REALLY NEED HELP!! D:)
3x + y = 20
x + y = 12
1) -1
2) 1
3) -3
4) 3