Answer:
Step-by-step explanation: The answer is Bread(flour) or b(f)
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $34. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $17. Find the cost for each pound of almonds and each pound of jelly beans.
Answer:
Almonds: $2
Jelly Beans: $3.5
Step-by-step explanation:
Let the cost of a pound of almonds be A and the cost of a pound of jelly beans be J.
3A + 8J = 34 (Equation 1)
5A + 2J = 17 (Equation 2)
Use simultaneous equations.
Times equation 2 by 4
4(5A + 2J = 17) = 20A + 8J = 68
(20A + 8J) - (3A + 8J) = 68 - 34
17A = 34
A = 2
3A = 6
34 - 6 = 28
28/8 = 3.5
Checking:
3(2) + 8(3.5)
= 6 + 28
= 34
5(2) + 2(3.5)
= 10 + 7
= 17
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Find the amount of money in the account after 6 years at 4% APR compounded monthly if $18000 were inititally deposited
Answer:
22,873.35
Step-by-step explanation:
A=p+I where P(principal) = 18,000
I(interest) = 4,873.35
Answer:
A = 22,775
Step-by-step explanation:
A = amount after 6 years
P = 18,000
r = 4% (in decimal = 0.04)
t = 6 years
A = 18,000 ( 1 + 0.04)^6
A = 22,775
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value of the following statement. - [(s or -p) or r]
Work Shown:
s = false
p = true
r = false
-p = false, which is the opposite of statement p
s or -p = false or false = false
The result of an 'or' operation is false only when both parts are false; otherwise, it is true
(s or -p) or r = false or false = false
(s or -p) or r = false
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree?
To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.
In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.
\(9,139-6,016=3,123\)
The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.
\(2010 \rightarrow2014 = 4 \text{ years}\)
That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.
\(\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75\)
That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.
Answer:
I Agree
Step-by-step explanation:
That seems like a fair advantage for people planning to go to college!
En un Gran Premio de Fórmula 1, diez pilotos han obtenido estos tiempos en la clasificación. ¿Cuál es el orden de salida?
Answer:
WHat did he say
Step-by-step explanation:
Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help
Here using the correct order of operations that is PEMDAS, we get the value to be 13.
Define PEMDAS?PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.
The letters stand for:
P stands for parentheses.
Exponents are shown as E.
D stands for division.
The letter M stands for multiplication.
A stand for addition.
S stands for subtraction.
Now in the given question,
15 - (4-3)2
First the parentheses
15 - (1)2
Next is exponents.
15 - 2
At last, after subtracting, we get:
13
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A large pizza costs $17.99. A second large pizza is 14 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
Answer:
$22
Step-by-step explanation:
17.99 round up so 18
a second large pizza is 14 dollars off of the original price of 18 so 4
18+4 is 22
so 2 large pizzas would cost $22
What would be the equation for a line that is perpendicular to a line of Y = 3X +2
The equation of the perpendicular line is y = -1/3x
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 3x + 2
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 3
This means that the slope is 2
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/3
The equation of the line is then calculated as
y = mx
Where
m = -1/3
So, we have
y = -1/3x
Hence, the line has an equation of y = -1/3x
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Kelly manages an apartment complex with 60 apartments. The monthly rent for an
apartment in the complex is $803, of which Kelly gets 9.5%. How much does Kelly
earn in a year?
State your answer in terms of dollars rounded to the nearest whole dollar.
Answer:
$54925
Step-by-step explanation:
Monthly Rent = 803
Number of apartments = 60
Kelly's commission = 9.5% -> 9.5/100 = 0.095
So
803*60*0.095 = ?
4577.10 per month.
12 months in a year
4577.10 * 12 = $54925.20
Rounded to nearest whole dollar 54925
Kelly makes $54925 per year
If a standard frequency scale is 220 hertz, how many scales is a 1100 hertz frequency?
(You do not need to include the units. You only need to enter your answer as a number.)
Answer:
5
Step-by-step explanation:
If one standard frequency scale is 220 hertz
Then the number of scales 1100 hertz frequency can be calculated as follows
= 1100/220
= 5
Hence 5 scales are present in 1100 hertz frequency
Which theorem shows that △ ABC ≅ △ def?
By the SSS Congruence Theorem, △ABC ≅ △DEF.
What does a math congruent mean?
Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.
What is the SSS rule?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
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El numeral 32012(4) representado en el sistema decimal, porfavor
Answer: El número es 902 en el sistema decimal.
Step-by-step explanation:
Supongo que tenemos el número:
32012 en base 4, y lo queremos representar en base decimal.
Entonces, usando la regla general, podemos escribir este número como:
unidades*base^0 + decenas*base^1 + centenas*base^2......
Es decir, acá tenemos:
2*4^0 + 1*4^1 + 0*4^2 + 2*4^3 + 3*4^4 = 902
El número es 902 en el sistema decimal.
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found that 614 believe there was a conspiracy. Estimate the proportion of Americans who believe in this conspiracy using a 95% confidence interval. Round to three decimal places.
Answer:
The 95% confidence interval of the proportion of Americans who believe in the conspiracy is \( 0.551< p < 0.610\)
Step-by-step explanation:
From the question we are told that
The sample size is n =1057
The number that believe there was a conspiracy is k = 614
Generally the sample proportion is mathematically represented as
\(\^ p = \frac{614}{1057 }\)
=> \(\^ p = 0.5809\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)
=> \(E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} } \)
=> \(E = 0.02975 \)
Generally 95% confidence interval is mathematically represented as
\(\^ p -E < p < \^ p +E\)
=> \( 0.5809 - 0.02975< p < 0.5809 + 0.02975\)
=> \( 0.551< p < 0.610\)
I’m stuck on this, any helps?
9514 1404 393
Answer:
a. $488
b. 12 hours at $18.30 = $219.60
c. $707.60
Step-by-step explanation:
a) You correctly computed Brown's straight-time pay. His pay is ...
40 hours at $12.20 per hour = $488
__
b) Brown's overtime pay is 1.5 times his straight-time pay per hour:
OT pay rate = 1.5 × $12.20 = $18.30 . . . per hour
The amount of overtime is 52 hours - 40 hours of straight time = 12 hours. Then the overtime pay is ...
12 hours at $18.30 per hour = $219.60
__
c) Brown's total pay is the sum of straight-time pay and overtime pay:
$488.00 +219.60 = $707.60 . . . total pay
Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
Find the cost of one crayon.
Answer: 28 p is the cost of one crayon.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.
now,
To solve this problem we're going to use an equation.
First let's write down the information that we do know.
Let's use (r) for ruler and (c) for crayon.
So 7 rulers and 15 crayons cost £7 (or 700 pennies)
--> 7r + 15c = 700
But we also know that r = c +12
So we can substitute c + 12 into the first equation where r is at the moment.
7(c+12) + 15c = 700
Now let's expand the brackets.
We multiply 7 by c to get 7c
and 7x12 t0 get 84
7c + 84 +15c = 700
22c + 84 = 700
Here I'm going to take 84 away from both sides.
22c = 616
616 divided by 22 is 28
so c = 28
hence, Each crayon therefore costs 28p.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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I just need help :);
Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
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6y-5=7y-y
Solve an explain
Answer:
6y+y=7y+5
7y=7y+5
7y-7y=5
y=5
To determine if a new sandwich on the menu is preferred more than the original, the manager of the restaurant takes a random sample of customers that have tried both
sandwiches and asks them which sandwich they like best.
A- Survey
B- Observational Study
C- Experimental
D- This is not a statistical question.
answer: A survey
explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion
Lucy wants to bake a circular apple pie with a radius of 5 in. What is the minimum circumference of the pie pan?
a
Please be accurate of your answer and explain.
Answer: 6 in.
Step-by-step explanation:
Which equation represents this statement?
−115 is the same as the sum of −23 times a number and −3
−115+(−23)=−3x
−115+(−23x)=−3
−115=−23x+(−3)
−115=−23+(−3x)
Answer:
−115=−23x+(−3)
Step-by-step explanation:
i just...did the test and saw what was right k12 test
A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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PLEASE HELP ME WITH THIS!! IM STRUGGLING
Answer:
A: (0,-12)
Step-by-step explanation:
This chart is really helpful!
You just have to flip the coordinates and make the x value negative.
Have a great day!
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.
The probability of observing such an extreme result by chance alone is 0.0124.
To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.
Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.
Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:
P-value = 2 * 0.0062
P-value = 0.0124
This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.
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Use this information to evaluate the following. Hint: do not try to solve for the value of a. loga 2 = 0.36 loga 3 = 0.56 logą 5 = 0.83 (a) loga 15 = 1.39 kor. (E) - log, (b) -.47 (c) log, (8a*) = 8.72
a) To evaluate loga 15, we can use the property of logarithms that states logab = loga + logb. Since 15 = 3 * 5, we can use this property to find that loga 15 = loga 3 + loga 5. Since loga 3 = 0.56 and loga 5 = 0.83, we can add these values to find that loga 15 = 0.56 + 0.83 = 1.39.
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner.
Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
b) To evaluate loga(2/5), we can use the property of logarithms that states log(a/b) = loga - logb. Since 2/5 = 2*(1/5) we can use this property to find that loga(2/5) = loga2 - loga(1/5). Since loga2 = 0.36 and loga(1/5) = -loga5, we can subtract these values to find that loga(2/5) = 0.36 - 0.83 = -0.47
c) To evaluate loga (8a^4), we can use the property of logarithms that states log (a^n) = nloga. We get, loga (8a^4)=loga 8 + log (a^4)
=> loga 8 + loga (a^4)
=>3loga 2 + 4 loga a
=>3loga 2 + 4
=>3 * 0.36 + 4
=5.08
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