Interest formula: A = Pe^rt
A = amount
P = principal amount
r = interest rate
t = time
We know that in the question we have:
P = 8,000
r = 0.019
t = 6
Now, solve with the given values:
A = 8000e^(0.019*6)
A = 8000e^(0.114)
A = 8966.016...
Round to the nearest hundredth:
8966.016... → 8,966.02
Therefore, the answer is [ $8,966.02 ]
Best of Luck!
Answer:
$8,966.02
Step-by-step explanation:
Amount = 8000 × e^(6 × 1.9/100)
Amount = 8000 × e^0.114
Amount = 8966.016999
The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.
Answer:
8 feet
Step-by-step explanation:
Hello, I can help you with this.
the volume of a sphere is given by.
[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]
Step one
isolate radius
[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]
According to the question the volume is 267.95 cubic feet , and pi= 3.14
put this values into the equation
let
volume =267.95
pi=3.14
[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]
so the radius of the beach ball is 4 feet, but we need its diameter
Diameter=2* radius
radius=4 feet
Diameter= 4 feet*2
Diameter=8 feet
what a big ball¡¡
I hope it helps, have a great day.
A cube has a volume of 8 cubic feet. What is the length of the cube?
Answer:
The side length is 2 ft
Step-by-step explanation:
A cube has a volume of
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^1/3
2 = s
help me with this please I don't exactly get it
Answer:
P = 40.56 in (ANS)
Step-by-step explanation:
radius = 8/2 = 4 in
semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in
figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)
What if the value of x?
Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x
What type of function is represented?
Answer:
b
Step-by-step explanation:
ITS B NOT C ITS B ITS B ITS B.
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.
C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?
{I only need help on part C}
Answer:
The mean value = $80.5
Step-by-step explanation:
The value of her last six spendings are $109, $72, $99, $15, $99, and $89.
For the mean.
Mean = Total spendings/number
Mean =483/6
Mean = $80.5
For the median.
Lets arrange it in ascending order
$15 ,$72, $89, $99, $99, $109
The middle values are two.
Median = (89+99)/2
Median = 188/2
Median = $94
For the mode
$15 ,$72, $89, $99, $99, $109
Highest occuring is $99 with two frequencies.
To convince her parents that she needs an increase in allowance she would show them the bigger spendings .
So the least value on the list it's mean value which is $80.5.
The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down
Answer:
2 units up
Step-by-step explanation:
You're just taking the entire graph of cos(x) and then adding 2 so it moves everything up. If you added 2 to x BEFORE taking the cosine
(like y = cos (x+2) ), then you would shift it left 2. Adding and subtracting from the x moves everything left or right. Adding or subtracting at the end just moves it up and down.
The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.
Here, The function is,
⇒ y = cos x
Now, After translate 2 units up, we get;
⇒ y = cos x + 2
Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''
Learn more about the transformation visit:
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Write a quadratic function with a vertex at (-9,13).
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94
What is the value of x? Leave answer in simplest radical form.
8
60°
Answer:
Your answer is A . 8
Step-by-step explanation:
hope it helps !
Question 5 (1 point)
Answer:
B. [tex]\frac{d + 13}{d + 4}[/tex]
Hope this Helps :)
I need help nothing is working for the answer p÷3> 2
Answer:
p > 6
Step-by-step explanation:
Given
[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )
Multiply both sides by 3 to clear the fraction
p > 6
Answer:
honestly idk
Step-by-step explanation:
it may be p (1/3)
hope this is right:000
Complete 4 A,B 9 for points.
Answer:
R = (1/t) (A/P - 1)
T = (1/r) (A/P - 1)
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
Use the Distributive Property to write an expression equivalent to 4(p-12).
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
I hope this helps!
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
Learn more about the mathematical expression visit:
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Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
49 increased by twice a number m
Answer:
The third one I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First -> twice m is -> 2m
Then
49 increased so -> 49+2m
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)
Answer:
65º
Step-by-step explanation:
145º = (2x + 15)º
145º = (2x + 15)º
145º - 15º = 2xº + 15º - 15º
130º = (2x)º
x = 65º
1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
Evaluate A^2 for A = -4. -16 -8 8 16
Answer:
The answer is 4^2 (-16)
Step-by-step explanation:
Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?
Answer:
$63 is the answer
Step-by-step explanation:
100-37=63
What is the value of b? -8/5b = 8
Answer:
-0.2 or -2/10
Step-by-step explanation:
hope this helps
PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking, how many gallons do they use every day?
How many servings of
cups are in 33 cups of ice cream?
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
