Answer:
15/97?
Step-by-step explanation:
Just Minus the 82 and 97 to be the probability against it happening.
Sorry if I'm wrong
If CE= 7x+4
x+3 + 8x-9 = 7x+4
find the future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly. (round your answer to the nearest cent.) $
The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..
The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.
P = PMT× ((1+r)ⁿ −1)/r
where:
P---> Future value of an annuity stream
PMT---->Dollar amount of each annuity payment
r -->Interest rate (also known as discount rate)
n--->Number of periods in which payments will be
We have given that
Present value for an Annuity = $200
compounded rate , r = 13%
but compounded quarterly, then, r = 13%/4
= 0.13/4 = 0.325
Number of years , n = 2 + 1/2 = 5/2
then change into quarterly, n = 5/2 × 4 = 10
Future value formula ,
F.V = PMT ( (1+i)ⁿ - 1)/r
=> Future value = 200((1+0.325)^10/0.325)
=> F.V = 10263.734
Hence, the future value of an annuity is $10263.734..
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PLz hurry!!!!!!!!!!!!!!!!
Answer:
14.13
Step-by-step explanation:
Area = pi * r * r
d/2 = 2... 6/2 = 3
Area = pi *3^2
3.14*9 = 28.26
The semicircle is exactly half so you divide by 2
28.26 / 2 = 14.13
Answer:
14.13
Step-by-step explanation:
Formula for area of a semicircle: 3.14*r*r/2
6/2 = 3
3*3=9
3.14*9 = 28.26
28.26/2 = 14.13
14.13
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph tell you about the value of c in this function?
Answer:
C. c is less than zero
Step-by-step explanation:
The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.
Function transformationThe transformation of the parent function y=x^(1/n) into the function ...
f(x) = a(x +k)^(1/n) +c
represents the following transformations:
vertical scaling by a factor of 'a'left shift by k unitsup shift by c unitsApplicationThe location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...
k = 3c = -4The graph says the value of c is less than zero.
__
Additional comment
Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...
f(x) = 2(x +3)^(1/3) -4
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
Hello hope all is well can you tell me what am doing wrong for number 6
We have the next data
70,89,75,36,80
First we will calculate the mean
(70+89+75+36+80)/5=70
mean=70
Then we will calculate the Median
36,70,75,80,89
median =75
Then we will calculate the mode because any value is repeated all the values given are the mode
mode:70,89,75,36,80
Range
89-36=53
Range =53
Find the lateral and surface area of the figure.
Answer:
A.
Lateral area (LA) = 324 cm²
Surface area = 432 cm²
Step-by-step explanation:
✔️Lateral area of the triangular prism = perimeter of the base (P) × height of prism (L)
Perimeter (P) = 9 + 12 + 15
Perimeter (P) = 36 cm
height of prism (L) = 9 cm
Lateral area (LA) = 36 × 9 = 324 cm²
✔️Surface area = bh + LA
b = 9 cm
h = 12 cm
LA = 324 cm²
Surface area = 9*12 + 324
= 108 + 324
Surface area = 432 cm²
A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "D".
Event Y : The letter selected is found in the word "CAGE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
a) The only outcome that satisfies both events X and Y is the letter C.
b) The outcomes that satisfy either event X or event Y are {A, B, C, E, G}.
c) The complement of event X is {D, E, F, G}.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
The outcomes for each of the following events are:
(a) Event "X and Y": {C}
To satisfy both events X and Y, the letter selected must come before "D" (which includes the letters A, B, and C) and must be one of the letters in the word "CAGE" (which includes only the letter C). Therefore, the only outcome that satisfies both events X and Y is the letter C.
(b) Event "X or Y": {A, B, C, E, G}
The outcomes that satisfy event X are A, B, and C (since they come before "D"), and the outcomes that satisfy event Y are C, A, G, and E (since they are letters found in the word "CAGE"). Therefore, the outcomes that satisfy either event X or event Y are {A, B, C, E, G}.
(c) The complement of event X: {D, E, F, G}
The complement of event X is the set of outcomes that do not satisfy event X. The outcomes that do not satisfy event X are D, E, F, and G (since they come after or are equal to "D"). Therefore, the complement of event X is {D, E, F, G}.
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I will give brainiest to whoever answers correctly !!
Answer:
a. Amount paid for the use of the money is $105
b. Amount paid to the bank is $3,105
Step-by-step explanation:
The amount borrowed = $3000
Simple interest = 3 1/2%=0.035
a.
Amount paid for the use of the money = 3 1/2% of $3000
=0.035*$3000
=$105
PLEASE MARK ME AS BRAINLIEST
b.
Amount paid to the bank= Amount borrowed +simple interest
=$3000+$105
=$3105
g assume that the rate of change in the number of names she remebers dn/dt equals 100 minus an amount that is directly proportional to n write a differential equation that epresses this assumption
This is a first- order direct differential equation.
What's differential equation?Differential equations are fine equations that involve functions and their derivations. These equations describe how the rate of change of one variable affects the rate of change of another variable, and they're used to model a wide variety of natural marvels in fields similar as drugs, engineering, economics, biology, and more.
Given by the question.
Let n be the number of names that the person remembers, and let t be time in units of your picking.
According to the supposition given, the rate of change in the number of names she remembers is commensurable to the number of names she presently remembers. This can be written a
d n / d t = (100 - k n)
where k is the constant of proportionality.
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Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
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The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.
Answer:
$135
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
hows it goin my boi
Basil took part in a 100m race but he only ran 75m. What is the percentage of distance?
Answer:
75 %
Step-by-step explanation:
100 = 100 so,
100% - 75 = 25%
Answer:
75/100 = 3/4
Step-by-step explanation:
75/100=0.75 0.75 is basically 3 quarters so 75 cents over a dollar
Quotient of 17.4 ÷ 0.2
Answer:
87
Step-by-step explanation:
Hope this helps! Pls give brainliest!
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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And example of commutative property of multiplication
Answer:
4 × 3 = 3 × 4 4 \times 3 = 3 \times 4 4×3=3×44, times, 3, equals, 3, times, 4.
Answer:
Changing the order does not change the product.
Step-by-step explanation:
For example: 4 x 3 = 3 x 4 4 \times 4 4 x3x44, times, 3, equals, 3, times, 4.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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How many 1.5 ft
pieces of pipe can you cut from a 12ft pipe
Answer:
8 pieces.
Step-by-step explanation:
12 / 1.5
= 24 / 3
= 8.
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Sound is measured in decibels, using the formula d=10log(p/p0) where p is the intensity of the sound and p0 is the weakest sound the human ear can hear. A horn has a decibel warning of 20. how many times more intense is this horn compared to the weakest sound heard to the human ear?
Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.
What is the equation for the sound in decibels?The equation is given by:
\(d = 10\log{\frac{p}{p_0}}\)
In which:
d is the intensity of the sound in decibels.p is the intensity of the sound.\(p_0\) is the weakest sound that the human ear can hear.In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:
\(d = 10\log{\frac{p}{p_0}}\)
\(20 = 10\log{\frac{p}{p_0}}\)
\(\log{\frac{p}{p_0}} = 2\)
The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.
\(\frac{p}{p_0} = 10^2\)
\(\frac{p}{p_0} = 100\)
Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.
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Michelle has fifteen more than two times as many pieces of candy as her sister. Which expression represents the number of pieces of candy that Michelle has if the variable c represents the number of pieces of candy that her sister has?
Answer:
b
Step-by-step explanation:
Convert a density of 9.45 g/L to its equivalent in g/mL
Answer:
the answer is 0.00945
Answer:
0.00945g/mL
Step-by-step explanation:
Divide the mass / volume value by 1000
Factor the binomial.
4z2 − 25
4z2 − 25 =
\(4z^2-25\\\\=(2z)^2-5^2\\\\=(2z+5)(2z-5)\)
If $6^x = 5,$ find $6^{3x+2}$.
If 6ˣ = 5, then
(6ˣ)³ = 6³ˣ = 5³ = 125,
and
6³ˣ⁺² = 6³ˣ × 6² = 125 × 6² = 125 × 36 = 4500
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental, write and solve an inequality to find how many hours she can rent the bicycle and not spend more than $27. Interpret the solution. Show your Work.
The total cost for X hours is the fixed cost of $15 plus the variable cost of $4 per hour which is equal to 4*X, so the total cost is 4*X + 15
If Margie does not want to spend more than $27 then the inequality is
4*X + 15 <= 27
4*X <= 12
X <= 3
If Margie does not want to spend more than $27 then she cannot rent the bicycle for more than 3 hours
Answer:
3 hoursStep-by-step explanation:
to understand thisyou need to know about:inequalityinequality word problemssolving word problemslet's create the inequality:let's every hour be x
first condition
A rental company charges $15therefore,
15
plus $4 per hour to rent a bicycle.therefore
15+4x (as per our is x)
last condition
Margie does not want to spend more than $27 for her rental,therefore,
15+4x≤27 (≤ is because as it says"does not want to spend more than $27"
let's solve:few things about solving inequality
the direction of the inequality won't change
if
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of inequality will change
if
Multiply (or divide) both sides by a negative numberSwapping left and right hand sides\(step - 1 \colon \: define\)
\(15 + 4x \leqslant 27\)
\(step - 2 \colon \: \\ subtract \:15 \: from \: both \: sides\)
\(15 - 15 + 4x \leqslant 27 - 15\)
\(4x \leqslant 12\)
\(step - 3 \colon \: \\ divide \: both \: sides \: by \: 4\)
\( \frac{4x}{4} \leqslant \frac{12}{4} \)
\(x \leqslant 3\)
\( \therefore \: she \: can \: rent \: the \: bicycle \: for \: 3 \: hours\)
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
The dot plot shows the number of televisions owned by the families in a neighborhood
The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.
The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.
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In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
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A store is offering a special price on cans of soda. A 6-pack of 12-ounce cans costs $2.16. If you purchase four 6-packs of the soda, what's the total cost?
Answer: $8.64
Step-by-step explanation:
The cost of one 6-pack of soda is $2.16. If you purchase four of these 6-packs, you would multiply the cost of one 6-pack by 4:
$2.16 * 4 = $8.64
So, the total cost for four 6-packs of soda is $8.64.
When finding the slope of a line using a slope triangle, the____
length is divided by the____
length.
Answer:
rise, run
Step-by-step explanation:
When finding the slope of a line using a slope triangle, the RISE length is divided by the RUN length. (I think. Sometimes the "divided by" makes me confused about which is on top, but I'm pretty sure this is right.)