Answer:
The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
The rule is any number raised to the power of 0 is equal to 1
ex. if 200 is raised to the power of 0, it will be 1
Colin buys a tv
for £800.
It depreciates at a rate of 4% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
The amount of the tv in 3 years which depreciates at a rate of 4% per year is £708 .
Compound interest is interest calculated on the principal and the interest accrued in previous periods. It differs from simple interest where interest is not added to the principal when calculating interest for the next period. In mathematics, compound interest is usually represented by C.I.If the interest is compounded annually, then amount is given by [tex]A=P(1+\frac{r}{100} )^t[/tex] where " A " = Amount , " R " = annual interest rate , "T" = number of years , " P" is principal amount .
We have given principal amount = £800 , rate = 4% and time = 3 years .
Putting above values in equation (1) , we get
[tex]A=800(1-\frac{4}{100} )^3\\A= 800(1 -0.04)^3\\A=800(0.96)^3\\A=800\times 0.88\\A= \£707.78[/tex]
Note that the minus sign is due to depreciation .
On rounding off , amount will be £708 .
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Step 3: Estimate the Volume of Each Regularly Shaped Ball
Estimate the volume of each ball. Use the formula
4
V== πr³
where Vis the volume and r is the radius. Record the
volumes in Table A of your Student Guide.
What is the estimated volume of the table tennis ball
cm³
What is the estimated volume of the golf ball?
cm³
estimated Volume of tennis ball by given data = 38.808 .
estimated Volume of golf ball by given data = 33.523 .
WHAT IS SPHERE ? HOW TO FIND ITS VOLUME ?In terms of geometry, a sphere is described as a collection of points that are spaced apart by a specific amount. The supplied point is referred to as the sphere's center, and the given distance from the sphere's center to the collection of points that make up the sphere is referred to as the sphere's radius.
Many everyday things, including balls and globes, are spheres. Finding a sphere's radius and entering it into the straightforward formula V = [tex]\frac{4}{3}[/tex]π [tex]r^{3}[/tex] will allow you to determine its volume.
CALCULATIONGiven: The radius of the tennis ball is 2.1cm and the radius of the golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .
To find: Volume of tennis ball and golf ball .
Formula used: V = [tex]\frac{4}{3}[/tex]π [tex]r^{3}[/tex] .
pi(π) =[tex]\frac{22}{7}[/tex] .
We are given that
Radius of the tennis ball = 2.1 cm
radius of the golf ball =2.0 cm.
We need to find the volume of each ball
So , plugging the given values of radius in above formula
Volume of the tennis = [tex]\frac{4 * 22 * (2.1)^{3} }{3 * 7}[/tex] = 38.808 [tex]cm^{3}[/tex]
On simplification we get, volume of tennis ball = 38.808 [tex]cm^{3}[/tex]
Volume of the golf ball= [tex]\frac{4 * 22 * (2.0)^{3} }{ 3*7}[/tex] = 33.523[tex]cm^{3}[/tex]
On simplification we get, volume of golf ball = 33.523[tex]cm^{3}[/tex]
∴ The volume of tennis ball = 38.808[tex]cm^{3}[/tex]
Volume of golf ball = 33.523[tex]cm^{3}[/tex]
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Help me on this question pleaseeeeeeeeeeeee
Answer:
The answer is 16
Step-by-step explanation:
If there is 2 pizzas and it is in eighths, then 2 times 8 equals 16. 16 pieces of 1/8 slices.
Answer:
16 students
Step-by-step explanation:
2 pizzas cut into 8ths, 8 slices plus 8 slices = 16
In the phrase rise over run
what does rise indicate
Answer:
how far a line goes up
Step-by-step explanation:
rise/run gives the slope of the line
Look at this triangle.
B
13 cm
A
8 cm
Work out length BC.
Using the Pythagorean theorem:
BC = sqrt(13^2 - 8^2)
BC - sqrt(169 - 64)
BC = sqrt(105)
The exact dimension is sqrt105
If it needs be be in decimal format, sqrt(105) = 10.24695
Given b = - 14 which equation is true
A. -28 + 2b = 53
B. 2b + 7 = 20
C. 6/7 + 18 = 16
D. b/2 + 7.4 = 1.4
Answer:
b/2 + 7.4 = 1.4 thus D. is the answer
Step-by-step explanation:
Solve for b:
b/2 + 7.4 = 1.4
Put each term in b/2 + 7.4 over the common denominator 2: b/2 + 7.4 = b/2 + 14.8/2:
(b/2 + 14.8/2) = 1.4
b/2 + 14.8/2 = (b + 14.8)/2:
((b + 14.8)/2) = 1.4
Multiply both sides of (b + 14.8)/2 = 1.4 by 2:
(2 (b + 14.8))/2 = 2×1.4
(2 (b + 14.8))/2 = 2/2×(b + 14.8) = b + 14.8:
b + 14.8 = 2×1.4
2×1.4 = 2.8:
b + 14.8 = 2.8
Subtract 14.8 from both sides:
b + (14.8 - 14.8) = 2.8 - 14.8
14.8 - 14.8 = 0:
b = 2.8 - 14.8
2.8 - 14.8 = -12:
Answer: b = -12
QUESTION 4 of 10: It is estimated that 32 patrons will attend an event for every $100 spent in advertising. If tickets cost $75, how much can a
promoter expect to increase sales if he spends $25,000 in advertising?
Answer:
$575000Step-by-step explanation:
Spend on advertising = $25000
32 patrons per $100
Number of patrons:
25000/100×32 = 8000Sales amount:
8000×$75 = $600000Increase in sales excluding advertisement cost:
$600000 - $25000 = $575000Answer:
$600,000
Step-by-step explanation:
$25,000 / 100 then 250 x 32 then 8,000 x 75 to get $600,000
Which of the following types of angles DO NOT have equal measure in the figure shown?
Choose one 4 points
O Alternate Interior Angles
Alternate Exterior Angles
O Adjacent Angles
O Corresponding Angles
5/6
7/8
1/2
3/4
Intersecting Lines
Out of the following types of angles adjacent angles do not have equal measure.
Here, from the given figure, we can see that the 2 horizontal lines are parallel to each other and a transversal is drawn between them.
When 2 lines are parallel and joined by a transversal, any two pairs or alternate exterior angles, alternate interior angles and corresponding angles will be equal.
However, any to pairs of adjacent angle will not be equal. The sum of a pair of adjacent angles that lie on the straight line is 180°.
Here, one pair of adjacent angles is ∠1 and ∠2. Thus-
∠1 + ∠2 = 180
∠1 and ∠2 will be equal only when both of them are 90° each. Here, we are not given that they are 90.
Hence, out of the following types of angles adjacent angles do not have equal measure.
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Each dairy cow in the U.S. produces an average
of 25 quarts of milk per day. Given that there are
quarts in a gallon, how many gallons of milk does a
cow produce?
Write 0.6951 as a fraction.
Answer: 6951/10000
Step-by-step explanation:
Answer:
6951/10000
Step-by-step explanation:
This cannont be simplified anymore.
Match the equation with its graph. 3 SX-2 4
Answer:
Step-by-step explanation:
hello
Which of the following can be used to evaluate the series 9 k=1 2(4) k=1?
Answer:
Option (3)
Step-by-step explanation:
Given expression represents the sum of k terms of a geometric sequence.
[tex]\sum_{k=1}^{9}2(4)^{k-1}[/tex]
Since, formula to calculate the sum of a geometric sequence is given by,
[tex]\sum_{n=1}^{n}a(r)^{n-1}=\frac{a(1-r^n)}{1-r}[/tex]
By this formula,sum of 9 terms of the given sequence will be,
[tex]\sum_{k=1}^{9}2(4)^{k-1}=\frac{2(1-4^9)}{1-4}[/tex]
Therefore, Option (3) will be the answer.
Answer:
Thank you for your service! This was super helpful.
Step-by-step explanation:
(:
Which set of ordered pairs does not represents a fraction
What is -3(2a + 5b - 4y - 2)?
Answer: -6a-15b+12y+6
Step-by-step explanation:
Got this due by tomorrow.
Answer:
f(-1)= 2 f(-3) = -2 f(0)= 4 ( x is -8)
Step-by-step explanation:
replace x with the number and then solve from there
What is f(-3) for the function f(x) = -5x - 7?
[tex]f(x) = - 2(x - 4) ^2 + 6[/tex]
what is the vertex of this function ?
Answer:
x = 4
Step-by-step explanation:
x = 4 is the vertex of the function.
This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.
x - 4 = 0
x = 4
i have no question x = 2. apples
Answer:
ok
Step-by-step explanation:
................................................
What is the approximate area of the circle shown below?
Answer:
do you have a picture to go with it's?
Simplify 8/-4 ÷ -3/9 . (5 points)
Question 10 options:
1)
6
2)
-6
3)
12
4)
-12
Answer:
1)
Step-by-step explanation:
8/-4 ÷ -3/9
8/-4 × 9/ -3 = 6
Which of these tables is a ratio table?
B
Step-by-step explanation:
you have to divide the numbers to see if they equivalent.
Luke made 25% of his free throws over the season if he shot 200 free throws how many did he make?
Based on the number of throws Luke had and the percentage he made, the number he made was 50 throws.
Number of Free Throws MadeThere were 200 free throws in the season and Luke was able to make about 25% of them.
The formula to find this is therefore:
= Number of free throws x Percentage made
Solving gives:
= 200 x 25%
= 50 throws
In conclusion, Luke made 50 throws.
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A car manufacturer wants to analyze the safety
features of 7 different car models by comparing
each model with every other model. If each com-
parison costs $4,000, how much will the manufac-
turer spend altogether?
A. $28,000
B. $32,000
C. $48,000
D. $84,000
1. Continuous Compounding A certain investment is
subject to continuous compounding. The value of
the investment after t years is given by
V = 5000e0.05t dollars.
a. Make a graph of the value of the investment over
the first 20 years.
4. E
C
How do I make a graph
The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.
We are provided with the equation V = 5000[tex]e^{0.05t}[/tex]
The equation can be simplified as
V = 5000 e0* (0.05t)
V= 250t
This linear equation can be plotted for different values of t which are
If t=0, V = 0
If t=1, V = 250
If t=2, V = 500
If t=3, V = 750
If t=4, V = 1000
If t=5, V = 1250
If t=6, V = 1500
If t=7, V = 1750
If t=8, V = 2000
If t=9, V = 2250
If t=10, V = 2500
If t=11, V = 2750
If t=12, V = 3000
If t=13, V = 3250
If t=14, V = 3500
If t=15, V = 3750
If t=16, V = 4000
If t=17, V = 4250
If t=18, V = 4500
If t=19, V = 4750
If t=20, V =5000
Now, we just have plot these 20 coordinates
The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.
A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.
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Is × = 12 a solution to the equation 6 + × 19?
A. no, because 6 + 12 = 19 is not true
B. yes, because 6 + 12 = 19 is true
C. no, because 6 + 12 = 19 is true
D. yes, because 6 + 12 = 19 is not true
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2 +80t +4. What is the time interval in which the ball has a height greater than 100 feet?
Answer:
Between 2 & 3 seconds. Or we can write it as 2<t<3
Step-by-step explanation:
t = elapsed time in seconds
h(t) = height of the ball at time t
So we just need to replace h(t) with 100 and start to solve. In the end, the answer will be t=2, or t=3 or we can write it as 2<t<3. You can check it by plugging in the number into the equation.
Cecilia bought 5 games of
bowling for $25 and Frankie
bought 7 games for $42.
Which is the better buy?
If a person makes $5.00 in 10 minutes, how much can she make in1.5 hours?
Please help due today!!!!!!!
Answer:
$45
Step-by-step explanation:
what is 3% increase of 775 dollars?
Answer:
23.25
Step-by-step explanation:
-9 - (-4) =
What does that equal to?
Answer:
-5
Step-by-step explanation:
When you subtract a negative you end up adding it instead