Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periodsGiven:
P = $600r = 7% = 0.07n = 4t = 4Substituting given values into the formula:
[tex]\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}[/tex]
[tex]\sf =791.9576107...[/tex]
Equivalent interest rate:
[tex]\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%[/tex]
Number of times compounded:
[tex]\sf \implies nt=4 \times 4=16[/tex]
EASY GIVING BRAINLIEST JUST GRAPH TO FIND ANSWER While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = –2x2 + 13x + 7, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 4x + 21.
Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations.
Answer:
2 ft, 7 ft
Step-by-step explanation:
We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.
__
The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.
What is the surface area of right rectangular prism with dimensions of
4 centimeters by 4 centimeters by 6 centimeters?
6 cm
4 cm
4cm
Help asap!
Answer:
S.A of a rectangular prism is 2lh+2lw+2hw
2(4x6)+2(4×4)+2(6×4)
2(24)+2(16)+2(24)
48+32+48= 128cm²
Please Help! Which of the following methods is not used to prove triangles are congruent?
Answer:
AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.
Step-by-step explanation:
HELP ME PLEASE
I HATE THE BOTS
How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8
Answer:
16
Step-by-step explanation:
Evaluate the two in order to compare them.
2^10=2*2*2*2*2*2*2*2*2*2=1024
2^6=2*2*2*2*2*2=64
The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16
The answer is 16! Hope this helps ^^
6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?
nooo websites !!!
The volume of the given solid prism is: 3 × 3 × 5 = 45 units³
What is the Volume of a Solid prism?The volume of any solid prism = base area of prism × height of the prism.
Given the following dimensions of the solid prism:
Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²Volume of the solid prism = 9 × 5 = 45 units³
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Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%
Answer:
the answer; 32÷36×100 will give the answer (d) -88.9%
- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know
Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss
Answer:
224
Step-by-step explanation:
To work out the area of any prism:
Area of cross sectional area x width
In this case, work out the area of the rectangle and multiply by 7
8 x 4 = 32
32 x 7 = 224
1/3 (3x)(2x-5)(2x-5)=125
Answer:
the answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is
The total revenue of the function is the product of the quantity and the price
The total revenue in terms of P is TR = 20P - 0.01P^2
How to determine the total revenue?The demand and the cost functions are given as:
Quantity function, Q = 20 - 0.01P
Cost function, C(Q)=60+6Q
The total revenue is calculated as:
TR = Q * P
Substitute Q = 20 - 0.01P in the above equation
TR = P * [20 - 0.01P]
Evaluate the product
TR = 20P - 0.01P^2
Hence, the total revenue in terms of P is TR = 20P - 0.01P^2
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Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.
How to analyze a radioactive decay caseLet suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.
We know that decay behaves exponentially and follows this model:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in gramsThe time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:
τ ≈ 11.541 min
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
t ≈ 40.698 min
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]
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11. What is the solution of this equation
3(2-x)=-(4+3x)
A
-
5
3
В.
5
3
C 2
D. The equation has no solution.
Answer:
D I think
Step-by-step explanation:
if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D
Answer D
it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution
If the value 0.125 is rewritten as X%, what is the value of ?
Answer:
12.5%
Step-by-step explanation:
0.25 * 100
= 12.5%
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)
Answer:
2835 flowers
Step-by-step explanation:
We need the circumference of the garden, with it's 150' radius. Circumference, C, is given by: C = 2[tex]\pi[/tex]r. I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.
C = 2*(3.15)*150'
C = 945'
4 inches = 1/3 foot.
Every 1/3 of a foot of the circumference will have a flower. We can make this a conversion factor: 3 flowers/foot
Flowers = (945')*( 3 flowers/foot) = 2835 flowers
A square on the board is chosen at random. Find the probability as a fraction in simplest form
The probability of selecting a square is the likelihood of the square
The probability that the square selected is a multiples of 3 not less than 10 is 3/20
How to determine the probability?The given parameters are:
Squares = 20
Multiples of 3 not less than 10 = 3
Stripped balloons = 17
The probability that the square selected is a multiples of 3 not less than 10 is calculated as:
P = n(Multiples of 3 not less than 10)/Total
This gives
P = 3/20
Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20
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Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.
Kim works at an airport on the runway. She is standing and watching an airplane take off from the runway as shown below.
When the airplane is 1,100 feet above the ground, the distance to the airplane from where Kim is standing is 3,850 feet. What is the approximate angle of elevation to the airplane?
can you please answer this, please show work
Answer:
6:8
Step-by-step explanation:
There are 6 squares and there are 8 triangles, just count them.
Answer:
3 : 4
Step-by-step explanation:
squares : triangles = 6 : 8 ( divide both parts by 2 )
= 3 : 4 ← in simplest form
Use the distributive property to write an expression equivalent to each of the following x(-2+3)
Hey there!
x(-2x + 3)
= 1x(-2x + 3)
DISTRIBUTE 1x WITHIN the PARENTHESES
= 1x(-2x) + 1x(3)
= -2x(1x) + 3(1x)
= -2x^2 + 3x
Therefore, your answer is: -2x^2 + 3x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10
Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.
samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?
Total interest:-
8% of deposit8% of 8500.08(850)Rs68Find the next three terms of the sequence 2000 ,200, 20 … and write the term to term rule.
Answer:
2 is the next number in the sequence
Step-by-step explanation:
in this pattern, you go down by one decimal spot ( zero)
this is a geometric sequence since there is a common ratio between each term.
6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.
Answer:
18pi
Step-by-step explanation:
Circumference = 2 Pi R
c = 2 x 9 x Pi
c = 18Pi
How many times greater is the value of 4 in 547 than the value of the 4 and 84
Answer:
10
Step-by-step explanation:
How many times greater is the value of 4 in 547 than the value of the 4 and 84?
547: 500 + 40 + 7
5 is in the hundreds place
4 is in the tens place
7 is in the ones place
84: 80 + 4
8 is in the tens place
4 is in the ones place
The value of 4 in 547 is 10 times greater than the value of 4 in 84.
Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.
Also, 4 * 10 = 40
Hope this helps!
1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!
Answer:
4 7/8
Step-by-step explanation:
First we need to gte the denominators the same!
So we multiply the 1/4 by 2
1/4 x 2 = 2/8
Now we subtract the 2/8 from 5 1/8 to get our answer :)
5 1/8 - 2/8 = 4 7/8
Your final answer will be 4 7/8 :)
Have a great day!
Please rate and mark brainliest!
Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!
Answer in order:
False
True
False
False
False
False
False
True
True
Step-by-step explanation:
All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12
Solve:
Common factor - [tex]3(x^2-4)=0[/tex]
Divide both sides
[tex]x^2-4=0[/tex]
Use the quadratic formula
[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]
x = 2, x = -2
Thus, This is false..
-------------------------------------------------------------------------------------------------------------
There are two unique solutions to the equations (x-3)^2 = 16
one variable in matrix = one possible value.
Therefore, x = 7, x = -1
Hence this is True
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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0
[tex]2x^3-18x^2+54x-72=0[/tex]
[tex]x=5.080084[/tex]
Hence this is false
-------------------------------------------------------------------------------------------------------------
The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Add both sides by 8
2(x-5)^2-8+8=0+8
2(x-5)^2=8
(x-5)^2=4
x = 7, x = 3
Hence, this is false
-------------------------------------------------------------------------------------------------------------
The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
[tex](x+3)^2=17[/tex]
[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]
Hence this is false.
-------------------------------------------------------------------------------------------------------------
The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
[tex](2x-1)^2=9[/tex]
x=2, x = -1
Hence this is false.
-------------------------------------------------------------------------------------------------------------
The only solution for equation (2x-1)^2-49=0 is x = 4
[tex](2x-1)^2=49[/tex]
x = 4, x = -3
Hence, this is false
-------------------------------------------------------------------------------------------------------------
The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
[tex]3(x+2)^2=3[/tex]
[tex](x+2)^2=1[/tex]
x = -1, x = -3
Hence, this is true
-------------------------------------------------------------------------------------------------------------
The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Add 180 to both sides
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2 = 180[/tex]
[tex]x^2 = 36[/tex]
[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]
x = 6, x = -6
Hence, this is true.
-------------------------------------------------------------------------------------------------------------
[RevyBreeze]
The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
3.1%
Step-by-step explanation:
2.20/2.35 = 3.1%
Have an amazing day!!
Please rate an dmark brainliest!!
The left and right y-axes are in opposite directions because:.
Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.
Answer:
mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Pls give brainliest ily<3
Write a decimal that is greater than 3.3 and less than 3.73
Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7
Explain:
It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.
What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.
I hope that was helpful