The simple interest rate on this investment is.0385 or 3.85%:
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
Han has 410,000 in a retirement accounts that earns 15,785 each year.
Using Simple Interest
Interest = principle x rate x time / 100
Rate = Interest / ( principle x time )
Rate = 15785/(410,000x1)
Rate = 0.0385
Rate= 3.85 %
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Please please help i don’t understand this.
find the pair of similar triangles shown . find the length of side h .
Ben writes the number 74,443. The value of the digit 4 in the hundreds place is 10 times the value of the digit 4 is what place vakue
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function? (2 points) negative 7 square root 74 divided by 74 negative 5 times square root of 74 over 74 7 times square root of 74 over 74 square root 74
Answer:
Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]
Step-by-step explanation:
At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.
As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)
So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]
Here Height of the triangle = 7
and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]
By putting these values in the expression
[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]
Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]
Mrs.Alvarado gets a raise that increases their income to $6,500 a month. Their mortgage stays the same. What percent of their monthly income do they now spend on the mortgage?
seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
The probability that a student correctly answers on the first try (the event
a.is p(a) = 0.2. if the student answers incorrectly on the first try, the student is allowed a second try to correctly answer the question (the event b). the probability that the student answers correctly on the second try given that he answered incorrectly on the first try is 0.5. find the probability that the student answers the question on the first or second try.
a.0.90
b.0.40
c.0.10
d.0.70
e.0.60
The probability that the student answers the question on the first or second try is 0.60.
Given
P(A) = 0.2
[tex]\rm P(B|A^c)=0.5[/tex].
What is conditional probability?The conditional probability of an event is when the probability of one event depends on the probability of occurrence of the other event.
When two events are mutually exclusive.
Then,
[tex]\rm P(A\cap B)=0[/tex]
The first probability is;
[tex]\rm P(A^C)=1-0.2=0.8[/tex]
Therefore,
The probability that the student answers the question on the first or second try is;
[tex]\rm P(A\cup B)= P(A) +P(B)-P(A \cap B)\\\\ P(A\cup B)= P(A) +P(B|A^C) \times P(A^C)-P(A \cap B)\\\\ P(A\cup B)= 0.2+0.5 \times 0.8 -0\\\\P(A\cup B)=0.2+0.40\\\\ P(A\cup B)=0.60[/tex]
Hence, the probability that the student answers the question on the first or second try is 0.60.
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while watching a football game, Lin Chow decided to list yardage agained as positive integers and yardage lost as negative integers. after this plays, Lin recorded 14, -7, and 9. what was the net gain or lost?
QF Q6.) Find the following function for b.
how is this solved? graph and explanation would be helpful
A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in which case there is a 10% discount on the daily rate. Identify the expression which represents the cost of renting a car if the car has been rented for more than a week.
A.) 45+35x
B.) 45+31.5x
C.) 50+35x
D.) 50+31.5x
Answer:
Option D [tex]\$50+\$31.5x[/tex]
Step-by-step explanation:
Let
x------> the number of days
y----> the cost of renting a car
we know that
For [tex]x<7\ days[/tex]
[tex]y=\$50+\$35x[/tex]
For [tex]x\geq 7\ days[/tex]
The rate is equal to
[tex]0.90*\$35=\$31.5[/tex]
so
[tex]y=\$50+\$31.5x[/tex]
In this problem. the car has been rented for more than a week
therefore
[tex]x> 7\ days[/tex]
The cost of renting a car is equal to
[tex]y=\$50+\$31.5x[/tex]
Calculator Problem You downloaded a video game to your computer. You have a 60 -minute free trial of the game. It take 5 minutes to set up the game and 7minutes to play each level. You want to find out how many levels you can play for free. Let ll l l represent the number of levels played. Write an inequality to determine the number of levels you can play in 60 minutes.
The inequality 5 + 7l ≤ 60 represents the scenario where a student has a 60-minute free trial of a game that requires 5 minutes to set up and 7 minutes to play each level, where 'l' denotes the number of levels the student can play.
Explanation:The subject of this question is about setting up an inequality to represent a scenario. The student has a 60-minute free trial of a game and it takes 5 minutes to set up the game and another 7 minutes to play each level. Let's denote 'l' as the number of levels the student can play. The total time spent both setting and playing the game cannot exceed 60 minutes. Therefore, the inequality to determine the maximum number of levels the student can play would be: 5 + 7l ≤ 60.
To explain this further, the '5' is the time spent setting up the game and '7l' is the total time spent playing the levels. As we want to find out the maximum number of levels that can be played within a constraint of 60 minutes, thus we use the less than or equal to symbol ('≤').
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the graph below shows the amount of snowfall in a 6-hour period
Between which hours did the least amount of snow fall?
Answer=(4,5)
Step-by-step explanation:
At the candy store, a chocolate bar costs c dollars and a vanilla bar costs 2 dollars more than a chocolate bar. Jamie buys a chocolate bar and three vanilla bars, and Kevin buys five chocolate bars. How much money, in total, do Jamie and Kevin spend at the candy store in terms of c?
If ∆XYZ = ∆KLM, then < Y = Please help due today
Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions?
To compare the maximum values of function, which is a discrete function with given values, we find that C ) It is 3 units lower for f ( x ) than g ( x )
To compare the maximum values of functions f(x) and g(x), we first analyze each function separately. The quadratic function f(x) = -4x2 + 5x has a vertex form which reveals its maximum value at x = 1/3, and since g(x) is a discrete function defined by its values at certain points, we look directly at the given values to find its maximum.
Function g(x) reaches its maximum at g(2) = 8. Comparing this to f(x), whose vertex form shows that its maximum is f(1/3), we need to compute f(1/3) = -4(1/3)2 + 5(1/3) to find its specific value. After calculation, f(1/3) is found to be higher than 8, which is the maximum of g(x).
Thus,
g ( x ) maximum value = 8
f ( x ) maximum value = 5
g ( x ) max - f ( x ) max = 8 - 5 = 3
Complete Question:
Functions f(x) and g(x) are described as follows:
f(x) = -4x2 + 5
x g(x)
0 0
1 4
2 8
3 4
4 0
Which statement best compares the maximum value of the two functions? A. It is equal for both functions. B. It is 3 units higher for f(x) than g(x). C. It is 3 units lower for f(x) than g(x). D. It is 4 units lower for f(x) than g(x).
A square garden has side lengths of 8 inches. Jackie makes a rectangular garden with the same area as the square garden .which of these could be the dimensions of the rectangular garden. a-10 inches by 6 inches, b7 inches by 9 inches, c 8 inches by 12,d 16 inches by 4 inches.
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below. What is the first error she made in computing the variance? Emi failed to find the difference of 89 - 78 correctly. Emi divided by N - 1 instead of N. Emi evaluated (46 - 78)2 as -(32)2. Emi forgot to take the square root of -135.6.
The first error Emi made was dividing by N - 1 instead of N when computing the population variance.
The first error in computing the variance is Emi divided by N - 1 instead of N. In Emi's calculations for the data set, which includes the numbers 87, 46, 90, 78, and 89, the correct method should be to divide by N, because she is dealing with a population data set, not a sample.
For the population variance, we divide the sum of squared differences from the mean by the total number of data points in the population, which is N. However, Emi incorrectly divided by N - 1, which would only be correct if she were calculating the sample variance to estimate the population variance based on a subset of the population data.
To which sets of numbers does 0.0202002000200002 . . . belong? A. Irrational B.Rational only C.Rational and natural D.Rational and integer
Can adjacent angles be supplementary complementary or neither
Answer:
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent
Step-by-step explanation:
Q # 7.Write a congruence statement for the pair of triangles
The formula to convert Fahrenheit to Celsius is C=5/9(F-32). Convert 18 degrees C to Fahrenheit. Round to the nearest degree.
Answer:
Temperature in celcius scale to the nearest degree = 64
Step-by-step explanation:
Temperature in celcius scale = 18° C
We have the formula
[tex]C=\frac{5}{9}(F-32)[/tex]
Substituting value in celcius scale.
[tex]18=\frac{5}{9}(F-32)\\\\F=64.4^OC[/tex]
Temperature in celcius scale to the nearest degree = 64
what are some types of quadrilaterals
Conduct a chi-squared test of independence on the data presented in data set
d. assume equal probabilities of fe for each cell and make sure to report all relevant statistics, including the value of χ2 obtained, the critical value and your decision as to whether to reject the null hypothesis .
Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
Solution:
Julie studied for 3 [tex]\frac{1}{3}[/tex] hrs in 4 days
Let us first find how many minutes Julie studied in 4 days
In 1 hour, there are 60 minutes
Julie studied for 3 complete hours and one-third of the hour.
So, Number of minutes in 3 hours is 3*60=180hrs
and, Number of minutes in one-third of an hour=[tex]\frac{1}{3} *60[/tex]
=[tex]\frac{60}{3}[/tex]=20minutes
So, time spent by Julie in studying in 4 days is 3[tex]\frac{1}{3}[/tex] hours
or, Julie studied for 180+20 minutes in 4 days
Adding 180 and 20
Julie studied for 200 minutes during the 4 days
To find time she spend studying each day, we must divide total time spent in studies by number of days
Time she spend studying each day= [tex]\frac{200}{4}[/tex] minutes
Dividing 200 by 4, we get
Time she spend studying each day=50 minutes
Answer:
time she spend studying each day=50 minutes
A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting. energy = kj/photon
Which description best fits the distribution of the data shown in the histogram?
skewed right
uniform
approximately bell-shaped
skewed left
Histogram with vertical axis ranging from 0 to 14 labeled Frequency. For 0 to 49, the bar height is 2. For 50 to 99, the bar height is 6. For 100 to 149, the bar height is 12. For 150 to 199, the bar height is 5. For 200 to 249, the bar height is 1.
Answer with explanation:
The Description about the Histogram is
Vertical Axis = 0-14
Horizontal Axis Bar Height
0-49 2
50-99 6
100-149 12
150-199 5
200-249 1
Plotting the Histogram
→Class interval 150-199 has frequency =5, and class interval 50-99, has frequency equal to 6.
→The curve is not uniform on both sides.
→The interval in which mean , median lies has 6+2=8 frequency on the left of that interval , and 5+1=6, values on the right of class interval [100-149].We can conclude that,the histogram is left Skewed.
→But when we join ,mid points of histogram,the curve obtained resembles with a normal distribution curve called bell curve.It is not exactly bell shaped,as not uniform on both sides explained above.
Option C: Approximately bell Shaped
N a test population of 1000 people, 210 display hemophilia. you hypothesize that this trait follows mendelian genetics with a 3:1 ratio of non- hemophilia to hemophilia. use the χ2 test to determine whether the data support the hypothesis or not. show your steps and explain your reasoning.
Julia has 3 hand bags in her closet in how many ways can the bags be arranged
There are 6 ways the bags can be arranged.
Explanation:The number of ways the bags can be arranged is equal to the number of permutations of the bags. In this case, Julia has 3 handbags in her closet, so we need to find the number of permutations of 3 objects taken from a set of 3. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected.
Plugging in the values, we get 3P3 = 3! / (3-3)! = 3! / 0! = 3 x 2 x 1 / 1 = 6.
Therefore, there are 6 ways the bags can be arranged.
The number of ways to arrange 3 handbags is 6.
The arrangement of objects where the order matters is a permutation problem. To find the number of permutations of n distinct objects, one uses the factorial of n, denoted as n!. The factorial of a non-negative integer n is the product of all positive integers less than or equal to n.
In this case, Julia has 3 handbags, so n = 3. We want to find the number of permutations of these 3 handbags, which is given by 3!.
Calculating 3!:
3! = 3 × 2 × 1 = 6
Therefore, there are 6 different ways to arrange the 3 handbags in Julia's closet.
A jar of peanut butter and a jar of jam cost $10.20 in total. the jar of peanut butter costs $10.00 more than the jar of jam. how much does the jar of jam cost