you deposit 3,800 in an account with an annual interest of 5.2% for 20 years
Answers
First, convert R percent to r a decimal
r = R/100
r = 5.2%/100
r = 0.052 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 3,800.00(1 + 0.004333333/12)(12)(20)
A = $ 10,726.90
Related Questions
which comparison is true a. 0>1% b. 0 0.2 d. 1%>0.01
Answers
Answer:
A
Step-by-step explanation:
The length of a rectangle is twice its width.the length is 4 1/2 feet.what is the area of the rectangle
Answers
Answer:
10.125
Step-by-step explanation:
Length= 4 1/2 feet
Width= 2 1/4
Area=Length x width
Area=4.5 x 2.25
=10.125
Let me know if this is not correct.
If, in a right triangle, θ = 16 and hypotenuse has length 4, how long is the side adjacent to θ? Round to at least 3 decimal places.
Answers
Answer:
I don't know this but try to do ot
length of a rectangle with a width of 10 and an area of 150 meters
Answers
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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Please help me with my homework. Real answers please.
How many square feet of carpet will we need for this hole?
Answers
Answer:
30 feet just add all of the outside feet and find the missing parts and in total is 30
simplify \((3x2y3)3( x3)\)
3( x3)[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/tBDwfuD7arE6KDrWV6c38QXrvpcSDPwF.png)
Answers
The answer is D
The answer is D
the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A
To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.
So, let's simplify step by step:
(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³
Simplifying further:
3³ = 27
(x²)³ = x²⁽³⁾ = x⁶
(y³)³ = y³⁽³⁾ = y⁹
(z³)³ = z³⁽³⁾ = z⁹
Combining all the simplified terms, we have:
27 * x⁶ * y⁹ / z⁹
Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.
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What is (x2 + 9x+ 18) / (x+6)
Answers
Answer:
x+3
Step-by-step explanation:
\(\huge{\mathbb{\tt {ANSWER↓}}}\)
Factor the numerator and denominator and cancel the common factors.
\(\color{green}{\tt {x+3}}\)
\(\huge{{\tt { STEPS↓}}}\)
\( {x}^{2} + 9x \: + 18 \\ x + 6\)
\(\color{red}{\tt { FACTOR \: x² + 9x +18: ( x+3)(x+6)}}\)
\(\color{purple}{\tt { (x+3)(x+6)}}\)
\(\color{purple}{\tt { x+6}}\)
\(\color{black}{\tt{Cancel \: the \: common \: factor:}} \: \color{blue}{\tt( x+6)}\)
\(\color{green}{\tt{ x+3}}\)
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→XxKim02xXIs 7-¹ a negative number? Explain.
Answers
Answer:
No
Step-by-step explanation:
\(7^{-1}\) is a fraction
using the rule of exponents
• \(a^{-m}\) = \(\frac{1}{a^{m} }\)
then
\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction
PLEASE HURRY
#1 Find the y intercept. 9x - 12y + 18z = -36
A (-4, 0, 0)
B (0, -3, 0)
C (0, 3, 0)
D (0, 2, 0)
#2 Find the x intercept. x + y + z = 3
A (0, 0, 0)
B (0, 0, 3)
C (0, 3, 0)
D (3, 0, 0)
#3 Find the z intercept. 9x - 12y + 18z = -36
A (-4, 0,0)
B (0, -3, 0)
C (0, 3, 0)
D (0, 0, -2)
#4 In three dimensions the graph of an equation in three variables such as: 3x - 2y + z = 6 is a
A Sphere
B Plane
C Line
D Single Point
Answers
Answer:
4B
Step-by-step explanation:
i just did this and i got 4/4
Answer:
1: C
2: D
3: D
4: B
Step-by-step explanation:
just did it, 4/4
Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent crime. The probability of observing no positive reading if all suspects are telling the truth is: (a) 0.00 (b) 0.23 (c) 0.41 (d) 0.59 (e) 0.77
Answers
The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.
Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.
To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:
(90%)^5 = (0.9)^5 = 0.59049.
The correct answer is therefore (d) 0.59.
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Solve for the portion. Round to hundredths when necessary.
14.5% of 1,800 is
Answers
The value of 14.5% of 1,800 is 261 by using the concept of percentage.
What is meant by percentage?In mathematics, a percentage is a value or ratio expressed as a fraction of 100.
The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.
A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.
Given,
14.5% of 1,800
=(14.5/100)×1800
=261
Therefore, the answer is 261.
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Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. 4096, 1024, 256, 64, 16,...
Answers
Answer: geometric series
Step-by-step explanation:
If it is arithmetic, the difference from each term to the next will always be the same.
4096 - 1024 = 3072; 1024 - 256 = 768
3072 ≠ 768. so not arithmetic
If it is geometric, the ratio of each term to the next will always be the same.
4096/1024 = 4
1024/256 = 4
256/64 = 4
64/16 = 4
This is a geometric series. Each term (after the first) is (1/4) of the term before.
Hope this helps.
Submit a full solution (your final answer AND your work) to the problems below.
A company conducted a survey to determine the ages of its employees. The data collected showed that the range of the data set was 40 years. If I know that the youngest employee is 30, how old is the oldest employee?
Answers
the oldest employee is 70 years old.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
If the range of the data set is 40 years and the youngest employee is 30, then the oldest employee must be:
Oldest employee = youngest employee + range
Oldest employee = 30 + 40
Oldest employee = 70
Therefore, the oldest employee is 70 years old.
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Number 11 thanks ASAP ASAP
Answers
Answer:
A is the direct variation equation
18/23 as a decimal rounded to the nearest hundreth
Answers
Answer:
18/23=0.7826
0.7826 rounded to the nearest hundredth is 0.78
Your answer is 0.78
Answer:
0.78
Step-by-step explanation:
All you have to do is 18 divided by 23. That equals 0.78260869565 which when rounding to nearest hundreth is equal to 0.78 because hundreth is to the second decimal place.
A sound roofing le is made of 8 identical solid right
pyramids with square bases. The length of the whole tile
shown is x inches.
Which expression shows the area of the base of each
pyramid?
0 (2x² in ²
in.2
O x² in.²
Answers
The area of the base of each pyramid is x² inches.
The correct option is B.
What is a pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Given:
A sound roofing is made of 8 identical solid right pyramids with square bases.
The length of the whole tile shown is x inches.
And the tile is squared in shape.
So,
the base area of the tile is x² inches.
Hence, the base area of the tile is x² inches.
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Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
Answers
To calculate the simple interest, we use the following formula:
(Principal) • (interest rate) • (time) = simple interest
Plugging the values in, we will find that:
$2,750 (our principal) • 0.015% (our interest rate represented by a decimal) • 3 (our time period in years) = $123.75 (our simple interest)
Ultimately, Devi made an investment and in 3 years earned a simple interest of $123.75.
Make up your own “which one doesn’t belong” example:
a. 8x^3-64
b. x^6+27y^3
c. 27-x^9
d. -x^3-8
Answers
Leo is a barber.
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 25 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Leo charges his customers that day.
Answers
25 x £5 = £125
16 x £5.50 = £88
£125 + £88=£213
Answer: £213 (I think)
(I may well be wrong and I’m so sorry if I am)
he following sequential system implements a pattern detector. (4 points) what pattern does this system detect?
Answers
The pattern that this system detects is a four-digit number that is divisible by 3.
1. The system starts by taking an input of a four-digit number.
2. It then checks if the last digit of the input number is divisible by 3.
3. If it is, the system continues to check if the sum of the remaining three digits is divisible by 3.
4. If this turns out to be true, the system will output a signal indicating that the input number is divisible by 3.
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A parent is buying two types of chocolate truffles for their family. The oldest child can eat twice as much as their younger siblings and prefers white chocolate (W), the younger three like dark chocolate (D) and the spouse likes white chocolate (W). Five white chocolate truffles (W) cost the same as three dark chocolate truffles (D). If the parent bought 6 white chocolate truffles(W) and 10 dark chocolate truffles (D), and spent $34.00, how much was each dark chocolate truffle
Answers
Answer:
Each chocolate truffle is $2.125
Step-by-step explanation:
Honestly, I'm not 100% sure if this is correct, and I am truly sorry if this is wrong, but its worth a try :)
Which is the best estimate for
14 1/5 - 2 5/6 ?
A) I0
B) 11
C) 12
D) 13
Answers
Answer: B
Step-by-step explanation: 14 1/5 - 2 5/6 =11 11/30
rounded is 11
Find the midpoint of the line segment connecting the two points (5,-3) (-4,7)
Answers
Answer:
The answer is
\(( \frac{1}{2} \: , \: 2)\)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,-3) and (-4,7)
The midpoint is
\(M = ( \frac{5 - 4}{2} , \: \frac{ - 3 + 7}{2} ) \\ = ( \frac{1}{2} \: , \: \frac{4}{2} )\)We have the final answer as
\(( \frac{1}{2} \: , \: 2)\)Hope this helps you
can you please help me with this
Answers
The equation of the line that passes through the points (-2,4) and (-4,3) is y = (1/2)x + 5.
We know the slope intercept form of a line is given by:-
y = mx + c
Where,
m represents the slope of the line,
c represents the y-intercept, and
(x,y) represents the ordered pair of each point on the line
We know that,
m = (3-4)/(-4-(-2)) = -1/-2 = 1/2
We can write,
4 = (1/2)(-2) + c
4 = -1 + c
4 + 1 = c
c = 5
Hence, the equation of the line is :-
y = (1/2)x + 5
The graph of the equation is attached below.
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Solve the equation a=bx+cx+d for x.
Answers
Answer:
To solve the equation a=bx+cx+d for x.
Solving the value of x, we get
\(a=bx+cx+d\)\(bx+cx=d-a\)\(x(b+c)=d-a\)\(x=\frac{d-a}{b+c}\)Answer is:
\(x=\frac{d-a}{b+c}\)Central limit theorem Imagine that you are doing an exhaustive study on the children in all of the elementary schools in your school district. You are particularly interested in how much time children spend doing active play on weekends. You find that for this population of 2,431 children, the average number of minutes spent doing active play on weekends is μ = 87.85, with a standard deviation of σ = 118.1. You select a random sample of 25 children of elementary school age in this same school district. In this sample, you find that the average number of minutes the children spend doing active play on weekends is M = 79.07, with a standard deviation of s = 129.91.
The difference between M and 1.1 is due to the :_______
Answers
Answer:
Sampling error
Step-by-step explanation:
The answer is sampling error.
The sampling error occurs when the sample does not represent the full population and the result from the sample is not a representation of the results from full sample.
From information given
Population mean = 87.85
Population standard deviation = 118.1
n = 25
Sample mean = 79.07
Sample standard deviation = 129.91
118.2/√25
= 23.62
The standard deviation of the distribution is what is referred to as standard error of m = 23.62
Find the average rate of change of the quadratic function \(f(x)\) over the interval \(-2 \leq x \leq 3\). Use the following table, which shows the values of the function for various values of \(x\).
a. 7
b. -7
c. 5
d. -5
![Find the average rate of change of the quadratic function [tex]f(x)[/tex] over the interval [tex]-2 \leq](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/mMFKWOZpOHOGjYswgFjqIk6iqy4JLnCo.png)
Answers
A dog that weighs 14 pounds should eat 1 5/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 26 pounds?
PLEASE HELP!!!!!!!!
Answers
(13/8)/14 = .116 or 13/112
.116 (26) = 3.016 or 169/56
9514 1404 393
Answer:
3 1/56 cups
Step-by-step explanation:
Apparently, you're to assume that the amount of food is supposed to be proportional to weight. If x is the amount of food for the 26-pound dog, then ...
cups/weight = (1 5/8)/14 = x/26
Multiplying by 26 we have ...
x = (26)(13/8)/14 = 338/112 . . . cups
x = 3 1/56 cups ≈ 3.02 cups
About 3.02 cups of the same type of food should be fed to a 26-pound dog.
Find the value of each variable in the parallelogram.
Answers
Answer:
x = 9 and y = 15
Step-by-step explanation:
this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it
Answer:
y=15
x=9
Step-by-step explanation:
they are parallel and equal to the opposite sides
Does anyone know the answer to this math question please help
Answers
Answer:
y= − 5 x ^2 − 40 x − 78
Step-by-step explanation:
Write in standard form.