Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?
Answer:
6,079.42
Step-by-step explanation:
FV = P (1 + r / n)^Yn
P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.
The distance an airplane travels depends on how much time it spends flying. Which expression represents the distance the airplane flies in 20 minutes?
a. 20(distance)
b. distance-20
c. distance+20
d. distance(20)
Answer:
D distance(20)
Step-by-step explanation:
The notation to express a dependent variable is given by :-
, where Y is depending variable which is dependent upon x ( independent variable).
The given statement : The distance an airplane travels depends on how much time it spends flying.
Here , Independent variable : Time
Dependent variable : Distance
Then , the notation to express distance (dependent variable) the airplane flies in 20 minutes is given by :-distance(20).
A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far is she from her camp base and what is her bearing from it
Answer:
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).
Step-by-step explanation:
The final position of the surveyor is represented by the following vectorial sum:
[tex]\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}[/tex] (1)
And this formula is expanded by definition of vectors in rectangular and polar form:
[tex](x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})[/tex] (1b)
Where:
[tex]x, y[/tex] - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.
[tex]r_{1}, r_{2}[/tex] - Length of each vector, in kilometers.
[tex]\theta_{1}, \theta_{2}[/tex] - Bearing of each vector in standard position, in sexagesimal degrees.
If we know that [tex]r_{1} = 42\,km[/tex], [tex]r_{2} = 28\,km[/tex], [tex]\theta_{1} = 32^{\circ}[/tex] and [tex]\theta_{2} = 154^{\circ}[/tex], then the resulting coordinates of the final position of the surveyor is:
[tex](x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})[/tex]
[tex](x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km][/tex]
[tex](x,y) = (10.452, 34.531)\,[km][/tex]
According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:
[tex]\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}[/tex]
[tex]\theta \approx 16.840^{\circ}[/tex]
And the distance from the camp is calculated by the Pythagorean Theorem:
[tex]r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}[/tex]
[tex]r = 36.078\,km[/tex]
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).
How many x-intercepts appear on the graph of this polynomial function?
f(x) = x - 5x?
O 1 x-intercept
O 2 x-intercepts
O 3 x-intercepts
O 4 x-intercepts
Answer: B
Step-by-step explanation:
There are two x-intercepts: x = -√5 and x = √5. The answer is: 2 x-intercepts.
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.
To find the x-intercepts of the polynomial function f(x) = x⁴ - 5x², we set f(x) equal to zero and solve for x.
Setting f(x) = 0:
x⁴ - 5x² = 0
Factoring out the common term x²:
x²(x² - 5) = 0
Now we have two factors: x² = 0 and x² - 5 = 0.
For x² = 0, we have a double root at x = 0.
This means the graph touches the x-axis at x = 0 but does not cross it.
For x² - 5 = 0, we can solve for x by taking the square root:
x² = 5
x = ±√5
Therefore, there are two x-intercepts: x = -√5 and x = √5.
The answer is: 2 x-intercepts.
Learn more about the x-intercept here:
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Thank you please shwo your work if you can<3 !!!!
x=
y=
Answer:
x = 2, y = - 1
Step-by-step explanation:
Given the 2 equations
y = - 7x + 13 → (1)
y = - 1 → (2)
Substitute y = - 7x + 13 into (2)
- 7x + 13 = - 1 ( subtract 13 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
y = - 1 is already given in (2)
Then x = 2, y = - 1
the price of a ring was increased by 30% to £325 what was the price before the increase
(-6, -5) and (2, 0)
Find the distance between each pair of points.
Answer:
[tex]\sqrt{89}[/tex] or 9.43
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
If the measures of Arc=122 find the measure of angle b
Answer:
∠ B = 61°
Step-by-step explanation:
The inscribed angle B is half the measure of its intercepted arc, then
∠ B = [tex]\frac{1}{2}[/tex] × 122° = 61°
1+2+3+4+5+6+7+8+9+2000+1000000
[tex]\huge\mathfrak\green{ please \: help \: ...} \\ \\ \huge\mathfrak\red{5 ^{2} + 6 ^{2} = {?} }[/tex]
61
Answer:
5²+6²=5*5+6*6=25+36=61 is a required answer.
Answer:
61 is the answer
Step-by-step explanation:
[tex] {5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ \\ {5}^{2} + {6}^{2} = 25 + 36 \\ = 61[/tex]
Enter the explicit rule for the geometric sequence.
120,40,403,409,4027
Answer:
120(1/3)^n-1
This is the correct answer for sure.
can some one answer please
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
True or False: The hypotenuse can be one of the two legs of a right triangle.
True
O False
Answer:
False
Step-by-step explanation:
The hypotenuse is not either of the two legs but is opposite of the right angle.
find the area of the circle. leave your answer in terms is pi.
a. 9
b. 324
c. 82
d. 18
Answer:
9
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
9×2 =18 or 9+9=18 I haven't done this since 6 grade sorry if I got it wrong
Can anyone do this thanks
WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!
Answer:
x = 15
Step-by-step explanation:
20^2 + x^2 = 25^2
400 + x^2 = 625
subtract each side 400
it results to 225
square root 225, to equals this -->
X = 15
Answer:
15
Step-by-step explanation:
Please someone end my suffering
Surface Area
Answer:
107 in ²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 2 in.
h = 8 in.
s1 = 8.2 in.
s2 = 2 in.
s3 = 8 in.
L = 5 in.
Substitute
Surface area = 2 × 8 + 5(8.2 + 2 + 8)
Surface area = 16 + 5(18.2)
Surfaces area = 16 + 91
Surface area = 107 in ²
I need helpppppp I’ve been stuck for a while
Answer:
i think its d
Step-by-step explanation:
ann and betty shared a sum of money in the ratio 2 : 3. ann received $120. what was betty's share?
Answer:
Betty got $180
Step-by-step explanation:
If its 2:3 and 2 is 120, that means 120/2 equals 60. 60*3=180
Step-by-step explanation:
the answer is 180 as the other person stated
what is the solution to the equation 1/4 x + 2 -5/8 x - 5? i
Answer:
work sh bf nd diu xd vs a wish even den dvs dneirgrvvdndkddvdvndkdosuehebdno he be bes be nah be even be bed buddy be end
Can anyone help ? :) thanks
no se ingles xd asi que la verdad sorry aun que dime si es potensiacion
Find the 10th term in the following geometric sequence.
8, 4, 2, 1,
Can someone please help me?the question is in the picture. Thank you
Answer:
It would be 9π
Step-by-step explanation:
(x-1)²π
(x-1)(2x-4)
Triangle ABC is on a coordinate plane.
If its rotated 180 degrees around a specific point to create A'B'C'
Which characteristics are true for both the original triangle and the triangle's image?
Question 11 options:
The measures of
The coordinates of B' will be the same as B.
The coordinates of A' will be the same as A.
The Area of ABC will be the same as A'B'C'
The perimeter of ABC will be the same for A'B'C'
The length of segment AB will be the same as Segment A'B'
Answer:
The last 3 choices are correct
Step-by-step explanation:
A rotation of 180 degrees has the rule (x,y) →(-x,y) , so the coordinates will not be the same. The shape's size doesn't change.
Pls I need help this
Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.
Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.
Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.
What is the oblique asymptote of gx) = x2-3x-5?
O y = x + 5
O y = x – 5
O y = 5x
O y = -5x
Answer:
B) [tex]y=x-5[/tex]
Step-by-step explanation:
Because [tex]g(x)=\frac{x^2-3x-5}{x+2}[/tex] simplifies to [tex]x-5+\frac{5}{x+2}[/tex], we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be [tex]y=x-5[/tex]. See the attached graph for a visual.
Answer:
B
Step-by-step explanation:
Did it rn
Triangles RST and XYZ are similar. X R 16.0 cm 6.0 cm 3,6 cm ? S Y 7.5 cm T 20.0 cm z not drawn to scale What is the length of side XZ? O A 7.2 cm B. 9.6 cm C. 13.6 cm OD. 16.1 cm
B) 9.6 cm
See the picture I have shared
Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 − 7x < 6 Solve the inequality that represents the story. If the variable is on the left, what is the sign?
Answer:
+ or > depending on what you mean exactly
Step-by-step explanation:
-7x<6-9
-7x<-3
x>3 (remember to flip the sigh)
the sign is the > symbol , or positive, not sure what you mean really
The value of Kelsey's car will depreciate (decrease) by a rate of 15% each year. She wants to write an exponential equation to find out what it will be worth in 6 years. What is the multiplier for this situation?
So if you multiply 15 by 6 you get 90 and the 6 is from every years she has saved. So if you take any number 95000 and 15 percent of 95000 is 14250 so try breaking it down and divide as much as you can but not to much and slowly at a time and then when you get that try to get close to 9500 as much as you can cause 90 percent of 95000 is 9500.
A cube that is used as a table is 2ft on each side. how many square feet will be painted if all sides are painted
A. 24ft²
B. 48ft²
C. 36ft²
Answer:
a = 24 ft²
Step-by-step explanation:
Area of 1 side
a = 2 * 2
a = 4 ft²
Cubes have 6 sides
a = 6 * 4
a = 24 ft²
Answer:
A. 24 ft²
Step-by-step explanation:
The faces of a cube are squares. We know that the squares have a side length of 2 ft. Therefore, the area of a square will be 4 ft². There are 6 faces/squares on a cube, so we take the 4 ft² and multiply it by 6. This gives us 24 ft².