Answer:
P= $226,863.29
Step-by-step explanation:
Compounded Continously means
P= P₀e^(rt)
plug in givens
P=(47000)e^(0.0926*17)
Use Calculator
and get P= $226,863.29
Answer:
$226,863.29
Step-by-step explanation:
P = $47,000
r = 0.0926
t = 17
A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]
A = $226,863.29
Consider the function f(x) = -2x2 +3x-8. Determine f(k+4). Fully simplify your answer.
Answer:
f(k + 4) = -2k² - 13k - 28
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsExpand by FOILFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = -2x² + 3x - 8
Step 2: Evaluate
Substitute in x [Function f(x)]: f(k + 4) = -2(k + 4)² + 3(k + 4) - 8Expand [FOIL]: f(k + 4) = -2(k² + 8k + 16) + 3(k + 4) - 8[Distributive Property] Distribute: f(k + 4) = -2k² - 16k - 32 + 3k + 12 - 8Combine like terms: f(k + 4) = -2k² - 13k - 28B 2 -3 -2 -1 Use the Pythagorean theorem to find the distance between points A and B on each graph. round answers to the nearest tenth.
hypotenuse= 9²
so the distance between the 2 points is 81
4²+5²=c²
factor out the square which gives (4+5)²=c²
which makes c=9
answer=81
Can anyone help with this
Step-by-step explanation:
I solved it in the diagram
a) y=4.9x
b)y=63.7
c)x=13
Simplify this expression:
-(x+2)+4
i have no idea im not good with math ;(
ANSWER :
- ( x+ 2 ) + 4
-x - 2 + 4
-x + 2
Answer:
−x+2
Step-by-step explanation:
-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.
Add -2 and 4 and that will turn into -x+2.
Does anyone know the answer?
Answer:
The third one
Step-by-step explanation:
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation. What is the distance between the national parks?
(Answer with steps please)
Skateboarders use half pipes for doing tricks A half-pipe is similar to a half cylinder which is not enclosed on the ends.
a. Explain how you could manipulate the surface area formula for a cylinder to calculate the curved surface area of the half pipe.
b. To the nearest square metre, calculate the curved surface area of the half pipe if it is 9 m long?
Answer:
Step-by-step explanation:
a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.
Total surface area = 2πrh + 2πr²
Skateboarders use a half pipe structure which are not closed at the ends.
Therefore, curved surface of the half pipe = [tex]\frac{2\pi rh}{2}[/tex]
= πrh
b). If r = 2.5 m and h = 9 m,
Curved surface area of the half pipe = π(2.5)(9)
= 70.69 m²
≈ 71 m²
Can someone help solve this one ? I can’t solve it and it would be very helpful if you can explain thanks you.
Hello,
Let's say y= log(x) in base 10.
[tex]\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\[/tex]
Which steps will verify that a parallelogram is a rectangle? Check all that apply.
To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.
Answer: 1st one and last one
Step-by-step explanation:
A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form a normal distribution with a mean of $8.52 with a standard deviation of $2.38. The stock price beyond which 0.05 of the distribution falls is _________.
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43
Subtract
[tex] - 3[/tex]
[tex] - {2y}^{3} [/tex]
[tex] - y[/tex]
[tex] - {5y}^{2} [/tex]
from
[tex] - {2y}^{3} [/tex]
[tex] + 4[/tex]
Answer:
Step-by-step explanation:
-2y³ + 4 - (-3 - 2y³ - y - 5y²) = -2y³ + 4 + 3 + 2y³ + y + 5y²
= -2y³ + 2y³ +5y² + y + 4 + 3 {combine like terms}
= 5y² +y + 7
If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?
Answer:
$ 20d
Step-by-step explanation:
Since each Apple costs d dollars , therefore 20 will cost , $ 20d .
The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.
To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.
Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.
Let's analyze each option:
A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.
B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.
D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.
To learn more about equation/expression click on,
https://brainly.com/question/26372151
#SPJ2
Complete question is:
If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?
A. 20a/d
B. 20d/a
C. a/20d
D. 20/ad
Question 18 (5 points)
Determine the sum of the measures of the interior angles of a dodecagon (12-sided
polygon).
540°
1,800°
360°
2,160°
Answer:
its 540 bro
Step-by-step explanation:
Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?
Hello,
Answer D
ax-b < -c or ax-b >c
If ax-b >0 then |ax-b| = ax-b ==> ax-b > c
if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c
The equivalent compoud inequality is (d) ax - b > c or ax - b < -c
How to determine the compound inequality?The absolute value expression is given as:
| ax -b | > c
Given that c > 0, then it means that:
| ax -b | > 0
So, we have the following inequalities from | ax -b | > c
ax - b > cax - b < -cHence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c
Read more about compoud inequality at:
https://brainly.com/question/24544713
Can someone help me with this math homework please!
OPTION A is the correct answer.
with steps please
A student uses a clinometer to measure the angle of elevation of a sign that marks the point on a tower that is 45 m above the ground. The angle of elevation is 32° and the student holds the clinometer 1.3 m above the ground. He then measures the angle of elevation of the top of the tower as 47º. Sketch and label a diagram to represent the information in the problem. Determine the height of the tower to the nearest tenth of a metre
Answer: [tex]75\ m[/tex]
Step-by-step explanation:
Given
The tower is 45 m high and Clinometer is set at 1.3 m above the ground
From the figure, we can write
[tex]\Rightarrow \tan 32^{\circ}=\dfrac{43.7}{x}\\\\\Rightarrow x=\dfrac{43.7}{\tan 32^{\circ}}\\\\\Rightarrow x=69.93\ m[/tex]
Similarly, for [tex]\triangle ACD[/tex]
[tex]\Rightarrow \tan 47^{\circ}=\dfrac{43.7+y}{x}\\\\\Rightarrow 69.93\times \tan 47^{\circ}=43.7+y\\\\\Rightarrow 74.99=43.7+y\\\Rightarrow y=31.29\ m[/tex]
Height of the tower is [tex]43.7+31.29\approx 75\ m[/tex]
What is another name for CD?
Answer:
I think album is another name of CD.
Find the measure of the indicated angle
Answer:
x = 70°Step-by-step explanation:
Given is the isosceles triangle as two sides marked equal.
The missing angles measure the same.
Since the sum of interior angles of a triangle is 180°, we have:
40° + 2x = 180°2x = 140°x = 70°It is an isosceles triangle,
The marked 2 sides of triangle are equal.
Now we have to,
find the measure of indicated angle.
General formula,
→ Sum of all sides of triangle = 180°
Then the value of x is,
→ 2x + 40° = 180°
→ 2x = 140°
→ x = 140/2
→ x = 70°
Therefore, 70° is the value of x.
What is the reflection of (-50, -30) across the y-axis?
Answer:
(50,-30)
Step-by-step explanation:
Reflecting a point across the y axis is just like flipping a page on a book. The x coordinate is flipped and the y coordinate stays the same.
I need help plz help
answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.
A circle is centered at the point (5,-4) and passes through the point (-3, 2). what is the equation of this circle?
Answer:
(x-5)² + (y+4)² = 100
Step-by-step explanation:
The formula for calculating the equation of a circle is expressed as;
(x-a)² + (y-b)² = r² where:
(a,b) is the centre of the circle
r is the radius
Get the radius using the distance formula;
r = √(2-(-4))²+(-3-5)²
r = √6²+(-8)²
r = √36+64
r =√100
r² = 100
Since a = 5 and b = -4, on substituting into the formula;
(x-5)² + (y+4)² = 100
This gives the required equation
Answer:
(x-5)² + (y+4)² = 100
Step-by-step explanation:
Just got it correct on Edmentum test.
A triangle ABC is right angled at A, AL is perpendicular to BC. Prove that angle BAL= angle BCA.
Step-by-step explanation:
triangle BCA=BAL bcoz Angle BCA= Angle BAL
Evaluate
-2 x 3/12 x 5/10 x 7/15
[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]
HELP! Use the elimination method to solve the system of equations.
A. (0,8)
B. (-4,0)
C. (-2,4)
D. (0,3)
Answer:
B, (-4,0)
Step-by-step explanation:
2(4x - 2y = -16) 8x - 4y = -32
8x - 4y = -32
+ -3x + 4y = 12
5x = -20
x = -4
4(-4) - 2y = -16
-16 - 2y = -16
-2y = 0
y = 0
Please help me with this one!!
Answer:
[tex]21 in^{2}[/tex]
Step-by-step explanation:
The square in the middle has a length and width of 3, so multiply. 9.
All of the triangles have a base of 3 and a height of 2. The area equation for triangles is
[tex]A=bh\frac{1}{2}[/tex]
So base*height is 6. Divide that by 2 or multiply by 1/2.
You get 3. There are 4 triangles, so multiply that by 4. 12.
Add 12 and 9 together, and you get:
[tex]21 in^{2}[/tex]
I hope this helps!
Which step shows the result of applying the subtraction property of equality?
(12x+8)+4-3
Answer:
Value of expression = -3 / 4
Step-by-step explanation:
Given:
(12x + 8) + 4 = 3
Find:
Value of expression
Computation:
Given expression
(12x + 8) + 4 = 3
Step 1: Use Distributive property
12x + 8 + 4 = 3.
Step 2: By adding like terms.
12x + 12 = 3
Step 3: Transfer
12x = 3 - 12
Step 4: Subtract
12x = -9
Step 4: Divide both sides by 12
12x / 12 = -9 / 12
x = -3 / 4
Value of expression = -3 / 4
The measure of two supplementary angles are (6x+28)° and (7x+87)°. Find the value of x.
Answer:
[tex]x = - 59[/tex]
Step-by-step explanation:
[tex](6x + 28) = (7x + 87)[/tex]
[tex]6x + 28 = 7x + 87[/tex]
[tex]6x - 7x = 87 - 28[/tex]
[tex]1x = - 59[/tex]
[tex]x = \frac{ - 59}{1} [/tex][tex]x = - 59[/tex]
Hope it is helpful....What is the perimeter of parallelogram WXYZ? StartRoot 5 EndRoot + StartRoot 17 EndRoot units 2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units 16 units 22 units
Answer:
2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units
Step-by-step explanation:
The perimeter of the parallelogram is expressed as
Perimeter = WX + XY + YZ + WZ
Using the distance formula;
WX = √(0-(-1))²+(4-0)²
WX = √1²+4²
WX = √17
For XY:
XY = √(-2-(0))²+(3-4)²
XY = √(-2)²+(-1)²
XY = √4+1
XY = √5
For YZ:
YZ = √(-2+3))²+(3+1)²
YZ = √(1)²+(4)²
YZ = √1+16
YZ = √17
For WZ;
WZ = √(-3+1)²+(-1-0)²
WZ = √(-2)²+(-1)²
WZ = √4+1
WZ = √5
Perimeter = √17+√5+√17+√5
Perimeter = 2√17 + 2√5 units
Answer:
B
Step-by-step explanation:
Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answer:
Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Step-by-step explanation:
This answer is from Plato.
45 people were surveyed. 33 people like hamburgers, 18 people like hamburgers and hot dogs. How many people like hot dogs?
Answer:
12
Step-by-step explanation:
45-33 is 12
And I guess to check, make sure 12 < 18