The yearly investment she needs to make to reach her goal is $667.558
What is compound interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given that Sari makes an investment with the goal of having $20,000 after 30 years,
total amount = $20,000
time period = 30 years
let the investment she made is compounded annually,
for growth rate = 1.12
the amount for CI is given by,
A = p[tex](1 + i)^{t}[/tex]
where 1 + i = growth rate = 1.12
so p = A/[tex](1 + i)^{t}[/tex]
p = 20000/(1.12)³⁰
p = $667.558
Hence she needs to invest $667.558 yearly.
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Solve |x + 3 = -7. Please help
Answer:
B. No solution
Step-by-step explanation:
The output of an absolute value function can never be a negative number.
Absolute value is the distance between a number |x| and 0 and that distance will always be positive.
Answer: B: No solution
Step-by-step explanation:
which of the following is always true for all probability density functions of continuous random variables?
A. The area under the curve of the probability density function must sum to 1.
Probability density functions of continuous random variables are used to represent the probability of a given outcome within a specific range. The area under the curve of the probability density function is equal to the probability of the outcome occurring. As the area represents the probability of any outcome occurring, the sum of the area under the curve must always equal 1. Therefore, it is always true that the area under the curve of the probability density function must sum to 1.
The complete question is :
Which of the following is always true for all probability density functions of continuous random variables?
A. The area under the curve of the probability density function must sum to 1.
B. The probability density function must be symmetric.
C. The probability density function must be positive.
D. The probability density function must be decreasing.
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let ct number of children in indiana at the beginning of year t, and at number of adults in indiana at the beginning of year t. during any given year, 5% of all children
In Indiana become adults, and the number of children in Indiana increases by 2% as a result of births and immigration. If we let c0 = 6 million and a0 = 4 million.
Then the population of Indiana can be modeled by the following recursive equation:
ct = (1 + 0.02) * ct-1 + 0.05 * at-1
at = (1 - 0.05) * ct-1
This equation models the growth of the population of Indiana based on the number of children and adults in the previous year, taking into account the conversion of children into adults and the growth in the number of children.
The given information states that during any given year, 5% of all children become adults, while adults stay the same. Hence, the number of adults in year t can be determined as follows:
at = (1 + 0.05) * ct-1
Where ct-1 is the number of children in the previous year. This equation reflects that the number of adults in year t is the sum of the adults from the previous year plus 5% of the children in the previous year.
This model assumes that the growth in the number of adults is solely dependent on the children becoming adults, and no other factors, such as migration, birth, or death, are considered. This model is also based on the assumption that 5% of the children will become adults each year, which may not hold true in reality.
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X(x+8)=-20
Help solve with work
Answer:
-4+4i and -4-4i
Step-by-step explanation:
To start off, we can distribute the x into the x+8 to get x^2 + 8x = -20. From here we can create a polynomial by moving the -20 to the other side by adding 20 to both sides to get x^2 + 8x +20 =0. From here we can check if there is any real solutions by finding the discriminant (the sqrt part of the quadratic formula) so 8^2-4(1)(20). 16-80. Because this gets us a negative number in an actual square root, there answers we would get would be imaginary.
However to solve what the roots are, we would plug the entire equation into the quadratic equation. Getting -8+- sqrt(-64)/2 which simplified is -4+-4i. Therefore our two answers are -4+4i and -4-4i
two supplementary angles are in the ratio of 2 to 3 the number of degrees in the smaller angle is what
the number of degrees in the smaller angle is 60 degrees.
The smaller angle is 60 degrees.
Let x = number of degrees in the smaller angle
Then the number of degrees in the larger angle = 3x
Given that the two angles are in the ratio of 2 to 3
2x = 3x
x = 60
Therefore, the number of degrees in the smaller angle is 60 degrees.
The two supplementary angles are supplementary angles because the sum of their angles is 180 degrees. This means that if we denote the number of degrees in the smaller angle as x, then the number of degrees in the larger angle must be 180-x. We know that their ratio is 2 to 3, which can be written as 2x = 3(180-x). Solving this equation gives us x = 60, so the number of degrees in the smaller angle is 60.
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Find the value of each variable in the parallelogram.
Answer:
x=9
y=15
Step-by-step explanation:
Since it is a parallelogram, there is a property of a parallelogram that says that opposite sides are congruent/equal. So x would equal to 9 and y is equal to 15
Answer:
Step-by-step explanation:
X = 9
Y = 15
(logarithms) help w this question the assignment is due at mid night
Answer:
Step-by-step explanation:
The hydrogen ion concentration of a solution can be calculated from the pH using the equation:
[H*] = 10^(-pH)
So for the apple juice with a pH of 3.1:
[H*(apple juice)] = 10^(-3.1) = 0.0005
And for the drinking water with a pH of 8.3:
[H*(drinking water)] = 10^(-8.3) = 1.7 x 10^(-9)
To find the ratio of the hydrogen ion concentration in apple juice to that in drinking water, we divide the concentration of the apple juice by the concentration of the drinking water:
[H*(apple juice)] / [H*(drinking water)] = 0.0005 / (1.7 x 10^(-9)) = 2.94 x 10^9
Therefore, the hydrogen ion concentration in apple juice is 2.94 x 10^9 times the concentration in drinking water.
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statistics values parameters
Answer:
Step-by-step explanation:
will give brainliest
Abdoulaye bought headphones online for $57. He used a coupon code to get a 40% discount. The website also applied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
The discount in the price of the headphones is of $17.67
How much was the discount?
If we apply a discount of D (D is the percentage in decimal form).
Then the new value (using A as the initial value) is:
A' = A*(1 - D)
If instead, we have an increase of I (also in decimal form) the new value is:
A' = A*(1 + D)
Here the original value is $57, and we have a discount of 0.4 and an increase of 0.15, then the new value will be:
A' = $57*(1 - 0.4)*(1 + 0.15) = $39.33
Then the discount is of:
$57 - $39.33 = $17.67
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find the pattern 1,3,2,6,4,12
Answer: x3
Step-by-step explanation:
How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with
1,920 grams and the half-life is 10 minutes?
grams
The amount of radioactive kind of nitrogen will be left after 30 minutes
is 240 grams.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.
Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,
= 1920/2³. (As 30 = 10×3)
= 1920/8.
= 240 grams.
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ABC + DEF = GHI
Using digits 1 through 9, find the greatest value of GHI, where each letter is represented by a different digit.
The greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.
The greatest value of GHI can be found using the following formula:
GHI = 987 - (ABC + DEF)
Using this formula, we can solve for GHI by substituting the values for ABC, DEF, and 987. For the highest value of GHI, we can set ABC and DEF to the lowest possible values, 1 and 2 respectively. This gives us the following equation:
GHI = 987 - (1 + 2)
GHI = 984
Therefore, the greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.
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Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone. Which graph best represents this situation?
The graph will have a slope of 15 and is attached with the answer below.
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.
The equation can be written as:-
y = kx
The value of k will be calculated as :-
60 = k x 5
k = 60 / 5
k = 12
The equation will be:-
y = 12x
The graph of the linear relation is attached with the answer below.
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18. Relative to a fixed origin O, the points A, B and C have position vectors given respectively by i+j, -2i+k, and 2 i + j+3k. (a) State the vector equation of line OC. (b) If the point P lies on the line OC such that PA PB has the minimum value, find the coordinates of P.
Answer:
Step-by-step explanation:
e.g. r = 2i – k + λ(4i – 7j + 5k).
4x+y=10 what is the answer
Answer:
Answer for X
[tex]4x + y = 10[/tex]
[tex](4x + y) + ( - y) = 10 - y[/tex]
[tex]4x = 10 - y[/tex]
[tex] \frac{4x}{4} = \frac{10 - y}{4} [/tex]
[tex]x = \frac{10 - y}{4} [/tex]
Answer for y
[tex]4x + y = 10[/tex]
[tex](4x + y) + ( - 4x) = 10 - 4x[/tex]
[tex]y = 10 - 4x[/tex]
Verify that the indicated function is an explicit solution of thegiven differential equation. Assume an appropriate intervalI of the definition for each solution.
dy/dt + 20y = 24; y = 6/5 - (6/5)e-20t
To verify that the given function is an explicit solution of the given differential equation, we can plug it into the differential equation and see if it satisfies the equation.
Plugging in the given function, we get: dy/dt + 20y = 24; (6/5)e-20t - 6/5 = 24. Simplifying, we get 0 = 0, which is true. This means that the given function is an explicit solution of the differential equation, and it is valid on any interval I.
To find a function solution to a differential equation, you must first identify the type of equation you are dealing with. If it is a linear equation, you can use the method of integrating factors or the method of undetermined coefficients, depending on the equation.
If it is a nonlinear equation, you can use the method of separation of variables, the method of substitution, or the method of series solutions. Once you have identified the equation, you can use the appropriate method to find the solution.
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which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?
A number of schedule that is recoverable but does not avoid cascading rollback and is not serializable is a schedule that contains interleaved operations from two or more transactions that conflict with each other.
For example, Transaction A writes to a data item, then Transaction B reads the same data item, then Transaction A commits has number of , and finally Transaction B commits. In this case, the schedule is recoverable, since both transactions will eventually commit, but it is not serializable, since Transaction B has read a data item that was written by Transaction A after Transaction B began but before Transaction A committed. Furthermore, it does not avoid cascading rollback, since if Transaction A is rolled back, then Transaction B will also need to be rolled back.
which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?
A. Schedule A: T1 {R1(A); W2(C)} T2 {R2(B); W1(A)}
B. Schedule B: T1 {R1(A); W1(A)} T2 {R2(B); W2(C)}
C. Schedule C: T1 {R1(A); W2(C)} T2 {R2(B); W2(C)}
D. Schedule D: T1 {R1(A); W2(C)} T2 {R2(B); W2(A)}
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Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim spend on lunch each day?
The expression can be used to show how much Jim spend on lunch each day is y = 7
Which expression can be used to show how much Jim spend on lunch each day?Amount Jim uses to purchase school lunch = $7.00
Amount with Jim = y
If Jim has the same amount of money and spends the amount he has on school lunch each day;
y = 7
Therefore, Jim spent a total of $7 each day on lunch.
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What’s the slope? Please help
The slope of the linear relationship is -4/6
How to determine the slope of the lineThe general formula for the equation of a line is expressed as;
y = mx + c
Given that the parameters are;
y is a point on the y -axis of the linem is the slope of the linex is a point on the x - axis of the linec is the intercept of the line on the y-axisThe formula for determining the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
From the diagram shown, we have to substitute the values into the formula, we get;
Slope, m = -6 - (-2)/11 - 5
Expand the bracket
Slope,m = -6 + 2/6
Subtract the values
Slope, m = -4/6
Hence, the value is -4/6
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1. A sample of two printed circuit boards is selected without replacement from a batch. Describe the ordered) sample space for each of the following batches: (a) The batch contains 90 boards that are not defective, 8 boards with minor defects, and boards with major defects. (b) The batch contains 90 boards that are not defective, 8 boards with minor defects, and 1 board with major defects. 2. A wireless garage door opener has a code determined by the up or down setting of 12 switches. How many outcomes are in the sample space of possible codes?
The sample space of possible codes for the wireless garage door opener is 4096.
(a) The sample space for this batch of printed circuit boards would be 98 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (0 boards). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 98 and r = 2, making the total number of ordered samples 9703.
(b) The sample space for this batch of printed circuit boards would be 99 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (1 board). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 99 and r = 2, making the total number of ordered samples 9801.
For the wireless garage door opener, the code is determined by the up or down setting of 12 switches. This means that each switch can either be up or down for a total of 2 possible settings for each switch. The total number of possible codes is given by the formula [tex]2^12[/tex], which is equal to 4096. This is because each switch has 2 possible settings, and when multiplied by 12 switches, there are [tex]2^12[/tex] possible combinations. Therefore, the sample space of possible codes for the wireless garage door opener is 4096.
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What is the angles to this
Answer:
AA
Step-by-step explanation:
cus it can't be the other cus there is no side
Please help, I'm stuck in this math problem
The quotient is 32 and the remainder is 6.
i.e,
32 R6
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
774 ÷ 24
24 ) 774 ( 32
768
6
The quotient is 32 and the remainder is 6.
Now,
We can write in this form,
(Quotient) R(remainder)
Thus,
The quotient is 32 and the remainder is 6.
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I need help on This question I’ll give you brainliest
Calculators were purchased at $80 per dozen and sold at $25 for three calculators. What is the profit on six dozen calculators?
Answer:
$120
Step-by-step explanation:
Buying price
$80×6= $480
Selling price
$25×4×6= $600
Profit
$600-$480=$120
The profit on six dozen calculators is $120.
To calculate the profit on six dozen calculators, we need to find the cost of purchasing six dozen calculators and the revenue from selling six dozen calculators.
Step 1: Calculate the cost of purchasing six dozen calculatorsSince each dozen costs $80, the cost of purchasing six dozen calculators is:
$80 x 6 = $480
Since three calculators are sold for $25, the revenue from selling six dozen calculators is:
$25 x (6 x 12/3) = $25 x 24 = $600
The profit is the revenue minus the cost:
$600 - $480 = $120
The profit on six dozen calculators is $120.
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Swim flippers are helpful for scuba diving. sam has 40 pairs of flippers that he rents out to customers. thirty percent are currently rented out how many pairs of flippers are currently rented out
try 13 pairs of flippers
It’s in between 10 and 15
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
Answer:
Step-by-step explanation:
r:4/3 cm/s or 1.33 cm/s
Please help fast
And explain too
The simplified expression is (11/4)z + (15/2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3/4 (z + 2/5) + 2z
Multiplication over addition.
= (3/4)z + (3/4)x(2/5) + 2z
= (3/4)z + (15/2) + 2z
Combining the like terms.
= (3/4)z + 2x + (15/2)
= (11/4)z + (15/2)
Thus,
(11/4)z + (15/2) is the simplified expression.
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find the probability that he lands it on the tenth try. while a generic rule for finding probability that he first lands the bottle on the floor
Without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.
The probability of landing a bottle on the floor on any given try is a fixed value, typically represented by "p".
The probability that he will land the bottle on the floor on the tenth try is then given by:
P(tenth attempt landing) = (1 - p)9 * p
where (1 - p)9 represents the probability that he fails to land the bottle on the floor in the first nine attempts, and p represents the probability that he lands the bottle on the floor on the tenth attempt.
However, without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.
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A square is inscribed in a circle. Then a smaller circle is inscribed in the square. Find the ratio of the area of the smaller circle to the area of the larger circle.
The ratio of the area of the smaller circle to the area of the larger circle is 1/2.
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
From the information, the square is inscribed in a circle and then a smaller circle is inscribed in the square.
Let the radius of smaller circle be 2r, then length of side of larger square is ✓2r and the length of side of smaller square is
The ratio of area of smaller square to larger square is:
= 4r² / 4(✓2r)²
= 1/2
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