The summation that represents the money in the account 10 years after the initial deposit is P(10) = 300(1.055)^10
Exponential equationsExponential equations are equations that increase geometrically
The formula for calculating the compound. interest is expressed as:
P(t) = P0(1+r)^t
Given the following
P0 =. $300
r = 5.5% = 0.055
t = 10years
Substitute
P(10) = 300(1+0.055)^10
P(10) = 300(1.055)^10
Hence the summation that represents the money in the account 10 years after the initial deposit is P(10) = 300(1.055)^10
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Answer: D
Step-by-step explanation:
The mean number wins of a team is 37 wins that is normally distributed. The standard deviation is 3 wins. What would be the sections that are one standard deviation from the mean? Select all that apply.
31
34
37
40
43
Using the normal distribution, it is found that the sections that are one standard deviation from the mean are 34 and 40.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 37, \sigma = 3[/tex]
The measures that are one standard deviation from the mean are given by X when Z = -1 and Z = 1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1 = \frac{X - 37}{3}[/tex]
X - 37 = -3
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1 = \frac{X - 37}{3}[/tex]
X - 37 = 3
X = 40
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How many different 6-digit numbers can you write using each of the digits 0, 1, 2, 3,
4, 5 exactly once?
question on similar triangles attatched
Answer:
h = 24 cm
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
DC/AE10/201/2Finding h :
h + h/2 = 363h/2 = 363h = 72h = 24 cmLets see if you know grade school math!! There were 22 bales of hay to be placed into 6 different tractors. what amount of hay would be placed in each tractor?
Answer:
22 divided by 6 is about 3.67
Step-by-step explanation:
PLEASE HELP MEEEEE I DONT LIKE PI
Answer:
I did the work and uploaded the picture i hope it helped!!
Please someone answer quick ( will give brainlessly)!!!!
Answer:
Step-by-step explanation:
For the length of AC
cosθ = 14/17
θ = arcCos 14/17
θ = 34.56
Let x = opposite
cot34.56 = 14/x
1.45=14/x
x1.45 = 14
x = 9.66
therefore, the length of AC is 9.66
For angle B is 34.56
For angle C is 55.44
For Angle C :
90 + c + 34.56 = 180
c = 180 - 124.56
c = 55.44
What's the sequence and drawing scheme of f(x)=x^(1/3)?
Solve the system of equations below using the linear combination method (elimination). Then, check your work.
x-2y=2
x-y=6
Answer: Solution- (10,4)
Step-by-step explanation:
x-2y=2 x-y=6 x-2(4)=2
-1(x-y=6) x-8=2
-x+y=-6 +8 +8
x=10
x-2y=2
-x+y=-6 10-2(4)=2
-y=-4 10-8=2
-1 -1 2=2
y=4
Find the first four terms of the sequence given a = 31 and an+1 = an - 3.
A. 31, 26, 23, 20
B. 31, 28, 25, 22
C.31, 25, 22, 19
D. 31, 27, 26, 25
really need help please please help
Answer:
1000,000 2.0 77,255,0,0.84831,0,0,0 45,24 27,14 27,34Step-by-step explanation:
Thanks Okay
A rectangular garden has a length of 6 feet and a width of 3 1/3 feet. Maria wants
to know the area of the garden so she can plan what to plant. Help Maria
determine the area.
Answer:
20 ft²
Step-by-step explanation:
Formula :
Area = length x widthSolving :
Area = 6 x 3 1/3Area = 18 + 2Area = 20 ft²NEED HELP PLEASE ANSWER ASAP! (45)
Answer:
45. (4) (2, 2)
Step-by-step explanation:
Question 45
Equate the equationsx = x² - 2x² - x = 2x(x - 1) = 2Solutions
x = 2x - 1 = 2 ⇒ x = 3We'll take x = 2 as no options with x = 3 are listed.
y = xy = 2Ordered pair
(x, y)(4) (2, 2)pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.
The expected value of the defective skateboard will be 4/25. Then the correct option is B.
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table, etc.
The table is shown below.
Then the expected value of the defected skateboard will be
p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100
p = 1/20 + 2/25 + 3/100
p = 5/100 + 8/100 + 3/100
p = 16/100
p = 4/25
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The ratio of cats to dogs is
4:5. If there are 20 dogs,
how many cats are there?
29
Answer:
16
Step-by-step explanation:
Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X Solving for we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16
A triangle has sides with lengths of 30 millimeters, 40 millimeters, and 48 millimeters. Is it a
right triangle?
yes
no
Answer:
No, because a right angle must not have the least 90°/. degrees c
Overall, about how many students prefer literature (poems, plays, or novels)?
I need help i sent in the graph
Answer:
3/8 or 37.5 percent, if there were 200 students there would be 75 students who enjoy literature.
Solve for x: Answer: -13x+8 = -8x - 7 Submit Answe
[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]
the value of x is 3.
Answer: X=3
Step-by-step explanation:
How do you find area of a figure ?
Length × Width = Area
Answer:
The length x the widith. If there's more then 4 sides I think you just multiply them all together
Step-by-step explanation:
A cone has a radius of 2 feet and a height of 6 feet. How many cones of liquid would it take to fill a cylinder with a diameter of 4 feet and a height of 6 feet? Complete the explanation. The radius of the cylinder is the same as the radius of the cone. The height of the cylinder is double the height of the cone. So, it will take cones to equal the volume of the cylinder.
Answer:
17 3/4 feet.
Step-by-step explan
(3,-3) and (2,-6) as a linear equation in y=mx+b form
Answer:
y=3x-12
Step-by-step explanation:
We need to find the m of y = mx+b which is the slope:
-3-(-6)/3-2 = 3 as our slope
We know have y = 3x+b.
If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12
A cube-shaped aquarium has edges that are 1.75 ft long. the aquarium is filled with water that has a density of 72" lb/f" "t" ^3.
(a) should the aquarium be placed on a table that can support a maximum weight of 150 lb? explain why or why not.
(b) would the density of the water change if the aquarium was only half full? explain.
Answer:
No and the density changes along with the weight.
Answer:
(a) No. The weight is more than 150 lb.
(b) No. Density is not a function of volume.
Step-by-step explanation:
The weight of the aquarium is the product of the volume and the density of the contents.
(a)The volume of the aquarium is the product of its dimensions:
V = LWH = (1.75 ft)(1.75 ft)(1.75 ft) = 1.75³ ft³ = 5.359375 ft³
The weight of its contents, at 72 lb/ft³ will be ...
(72 lb/ft³)(5.359375 ft³) = 385.875 lb
The aquarium should not be placed on the table. The weight of the aquarium is too great for the load limit of the table.
__
(b)The density of water is the ratio of its mass to its volume. Density does not change with depth or volume. It is essentially constant. (Water is considered to be virtually incompressible. Its density changes slightly with temperature,)
No, the density of the water would not change.
_____
Additional comments
The half-full aquarium would weigh about 385.875/2 lb ≈ 194 lb. This is still too heavy for the table.
The density of water is actually about 62.4 lb/ft³. We assume the extra 10 lb/ft³ might take into account the weight of the aquarium and any gravel or other non-water content.
What is the value of x when [tex](f°g)(x)=-8[/tex]
According to the table,
f(x) = -8 ⇒ x = -4
and according to the definition of g(x),
g(x) = -4 ⇒ x = 3
Then
(f o g)(x) = f(g(x)) = -8 ⇒ g(x) = -4 ⇒ x = 3
Help me with this question please
Volume of a Cylinder = pi x r^2 x height
diameter = 10, so radius = 5
height = 6
Volume = pi x 5^2 x 6
Volume = pi x 25 x 6
Volume = 150pi
Answer: 150pi cubic feet
Hope this helps!
Which of the following expressions is equivalent to ab2 + 6ab + 7a3 – 14a?
Answer:
−4a^2+2ab+8a
Step-by-step explanation:
−4a^2+2ab+8a is expressions of equivalent to ab2 + 6ab + 7a3 – 14a.
Which expression is equivalent to st6?1 Answer. s(6) × t(6) is equivalent to (st)(6).
Which expression is equivalent to FG )( 4 )?Thus, the expression (f + g)(4) is equal to f(4) + g(4).
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A bag contains 3 red and 5 green sweets.
Tim takes a sweet at random and eats it.
He then takes another sweet.
Find the probability that Tim takes 2 red sweets
Answer:
1/7
make sure to remember to remove a sweet when you take the second one, as it has been eaten.
Janet and Bill leave their home at the same time, Janet has 60 miles to travel and drives at 40 mph. Bill has 80 miles to travel and also drives at 40 mph.
a) How long does Janet's journey take?
b) How much longer does Bill spend driving than Janet?
Answer:
Question 1 = 1 hour 30 minutes
Question 2 = he spent 30 more minutes driving
Step-by-step explanation:
time = distance ÷ speed
Answer:
Below in bold.
Step-by-step explanation:
Speed = distance / time.
a) Janet's journey:
40 = 60 / t
4ot = 60
t = 60/40 = 1 1/2 hours.
Janet's journey takes 1 1/2 hours.
b) Bills journey:
40 = 80/t
t = 80/40 = 2 hours.
Bill travels for 1/2 hour more than Janet.
Need to be sure. The area of a circle is 9409pi square centimeters. Find the length of the radius. Round to the nearest whole number. I wrote the answer down but I'm not sure if I did it right.
Hi Student!
Looking at the question, lets extract the important values and information that we believe will be important for this problem. First of all, we are given the area of a circle which is 9409π and we are told to find the radius (rounding it to the nearest whole number).
Now that we have gathered our information, we can move onto the part of solving for the unknown using the area of a circle formula. We can do this by just plugging in the information that we have and solving for r which is the radius.
Plug in the values
[tex]A = \pi\ *\ r^2[/tex][tex]9409\pi\ cm^2= \pi\ *\ r^2[/tex]Divide both sides by pi to get r^2 by itself
[tex]\frac{9409\pi\ cm^2}{\pi}= \frac{\pi\ *\ r^2}{\pi}[/tex][tex]9409\ cm^2= \ r^2}[/tex]Square root both sides to get down to just r
[tex]\sqrt{9409\ cm^2}= \sqrt{\ r^2}[/tex][tex]97\ cm= r[/tex]Therefore, our final answer is that the length of the radius is 97 centimeters which we were able to find using the area and the area of a circle formula.
If anyone can help me with this, please feel free to answer
Pam has 15 candies in a jar, her sister threw in some more ( the ones she doesn’t like) and now Pam has 27. Write an equation to determine how many candies ( x) her sister put in the jar. Solve using both inverse operations and balance scale.
Answer:
Step-by-step explanation:
Number of candies that her sister gave = x
Total candies that Pam has now = 27
x + 15 = 27
Inverse operation:
x + 15 = 27
x + 15 - 15 = 27 - 15
x = 12
Answer:
Equations :
27 - 15 = x
15 + x = 27
Step-by-step explanation:
So, we know that 1. Pam starts with 15 candies. and 2. Pam ends up having 27 candies. This means, that she gained candy.
To figure out how many candies her sister gave, her, we have to find the difference between 27 and 15 becuase she goes from having 15 to having 27 after her sister had given some.
x will represent how many cadies Pams' sister had given her :
27 - 15 = x
12 = x
This means Pams' sister gave 12 candies to Pam. To make sure we are correct, we can simply start with how many candies Pam started with (15). And add how many we think her sister added (12)
15 + 12
15 + 12 = 27
Therefore proving, and meaning, that Pams' sister gave her 12 candies.
Possible Equations :
27 - 15 = x
End total (27) minus starting total (15).
15 + x = 27
Starting total (15) plus how many she gained (x) equal to end total (27).
Which inequality has an open circle when it is graphed on a number line?
x greater-than three-fifths
StartFraction 4 over 7 EndFraction greater-than-or-equal-to x
x less-than-or-equal-to 12
x greater-than-or-equal-to negative 6
Answer:
A.) X greater than 3/5
Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The correct inequality that has an open circle when it is graphed on a number line is,
1) x greater-than three-fifths
We have to given that,
All the expressions are,
1) x greater-than three-fifths
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x
3) x less-than-or-equal-to 12
4) x greater-than-or-equal-to negative 6.
We can write all the inequality as,
1) x greater-than three-fifths
⇒ x > 3/5
Since, it has symbol '>' which represent open circle.
Hence, It is true.
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x.
4/7 ≥ x
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
3) x less-than-or-equal-to 12
x ≤ 12
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
4) x greater-than-or-equal-to negative 6.
x ≥ - 6
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
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help me with this pls
Answer:
a. 1 triangle
Step-by-step explanation:
measure line QS=8.cm measure 85°on side Q
Answer:
will construct 1 triangle
Step-by-step explanation:
construct a line of Q to S 8cm
SQR let the angle stay in the middle of the letter (Q)
Q to R is 5cm