Answer:
$8333.3
Step-by-step explanation:
The problem here is to find the principal that will yield an interest of $500 in a year at a rate of 6%.
Interest = [tex]\frac{PRT}{100}[/tex]
P is the principal
R is the rate
T is the time
The time is 1 year;
500 = [tex]\frac{P x 6 x 1}{100}[/tex]
6P = 50000
P = [tex]\frac{50000}{6}[/tex] = $8333.3
A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an average of 70 pounds of apples per season. If, for each additional tree planted per acre (up to 30), the average yield is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?
Answer:
i) 60 trees
ii) 3600 apples
Step-by-step explanation:
50 trees per acre
Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds
Assumption :
lets assume the additional tree = X
Therefore the number of trees planted per acre = ( 50 + x ) where x ≤ 30
calculate average yield per tree = ( 70 - x )
Total yield per acre = number of trees * average yield per tree
= ( 50 + x ) * ( 70 - x )
Y(x) = 3500 + 20x - x^2
i) Number of trees that should be planted per acre to obtain maximum yield per acre
y'(x) = 20 - 2x = 0 hence X ( number of additional trees ) = 20 / 2 = 10
Number of trees that should be planted per acre = 50 + 10 = 60 trees
ii) Calculate maximum yield
where ; X = 10
number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60
hence maximum yield = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples
Which statement best describes the relationship between inherited traits and genes
Answer:
options please
Step-by-step explanation:
I just picked a random answer idk which one is it someone help
Answer:
I think your answer is correct #.#
Step-by-step explanation:
(1, -7) slope = -1 writing linear equations given point and slope
Answer:
The answer is
[tex] \huge y = - x - 6[/tex]
Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]
We have the final answer as
[tex]y = - x - 6[/tex]
Hope this helps you
Solve the system by finding the determinants and using Cramer's Rule:
2x - y = 4
3x + y = 1
Answer:
(1, - 2)
Step-by-step explanation:
2x - y = 4
3x + y = 1
A = [tex]\left[\begin{array}{cc}2&-1\\3&1\end{array}\right][/tex] = 2(1) - 3( - 1) =2 + 3 = 5
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}4&-1\\1&1\end{array}\right][/tex] = 4(1) - 1(- 1) = 4 + 1 = 5
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}2&4\\3&1\end{array}\right][/tex] = 2(1) - 4(3) = 2 - 12 = - 10
x = [tex]\frac{A_{x} }{A}[/tex] = 1
y = [tex]\frac{A_{y} }{A}[/tex] = - 2
(1, - 2)
What is a number that when you multiply it by 9 and then add
6 to it, you get 60?
Equation:
Solution:
Answer:
equation: 9x+6=60
solution: 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
6×9=54
54+6+=60
Simplify 6/4.
Thank tou
Answer:
2 1/2
Step-by-step explanation:
6/4=3/2=1 1/2
Answer:
6/4= 3/2
so you now divide 2 by the 3 which will give you;
1.5
What is the probability of drawing a month that has 31 days?
Answer: 5/12
Step-by-step explanation:
12,320 yd = how many MI
Answer:
7 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
12,320 yds
Step 2: Define conversion
1 mi = 1760 yds
Step 3: Find mi
[tex]12,320 \ yds(\frac{1 \ mi}{1760 \ yds} )[/tex] = 7 mi
HELP please
David goes to LongHorn with his friend Alice. Their bill comes out to be $45.90. They decide to tip the waiter 25%. What is their total amount they leave?
Answer:
$57.38
Step-by-step explanation:
The total bill is $45.90.
They decided to tip the waiter 25%.
Therefore, the total amount they leave will be the total bill plus the amount they will tip.
They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).
So, the amount they will leave is the original amount plus the tip. So, in total, they left:
$45.90+$11.48 or $57.38
Answer:
57.38
Step-by-step explanation:
percent means per one hundred, or 1/100.
25%=25/100
45.90 times 25/100= 11.475
Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.
11.48+45.90=57.38
Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.
AMONG US!
CODE-MRXLFF
Answer:
I have no idea but thanks for point
Answer:
YASSS AMOUNG USSSSSS
1+6 pls help me nowwwwwww
Answer:
7
Step-by-step explanation:
⚠️⚠️⚠️⚠️NEED HELP MARKING PEOPLE AS BRAINLIST!
Answer:
I think its C
Step-by-step explanation:
Thats my guesa
Last week, Kira drove 291 miles. This week, she drove n miles. Using n, write an expression for the total number of miles she drove in the two weeks.
Answer:
d = 291 + n
Step-by-step explanation:
Given that,
Last week, Kira drove 291 miles. Then this week she drove n miles.
We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,
d = 291 + n
Hence, this is the required solution.
Darius paid 8.5% sales tax when he bought a new phone for $100. What was the total price of his new phone?
A. $108.05
B. $109
C. $105.50
D. $108.50
Answer:
D
Step-by-step explanation:
108.5
The difference between the sample value and the true value in the population under study is referred to as _______.
Answer:
a. sampling error
Step-by-step explanation:
These are options for the question below;
a. sampling error
b. random error
c. measurement error
d. chance correlation
e. none of these
Sampling error can be regarded as statistical error, this do occur when the person analysing the data just select portion out of the data, which doesn't fully cover for the whole population of the data, and after the analysis the gotten result doesn't resemble the kind of result that could have gotten if the whole population of Data is used. It occurs where there is more difference exist between population parameter and a sample statistic.
Mathematically sampling error can be calculated using below formula
Sampling error= Z √[p(1-p)/n] [1-√(N/n)
Where
N= population size
n=sample size
Z= score for the selected confidence level
P= proportion of people surveyed
It should be noted that The difference between the sample value and the true value in the population under study is referred to as sampling error
A magazine costs 4.95 per month. If you buy a one year subscription, it's 30% cheaper. How much will you pay in one year with the discount?
Answer:
41.48/year
Step-by-step explanation:
4.95 x 12 = 59.40
59.40 × .30 = 17.82
59.40 - 17.82 = 41.48
Mae ling earns a weekly salary of 400 plus a 6.5 commission on sales at a gift shop how much would she make in a work week if she sold 4300 worth of merchandise
Answer:
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
Step-by-step explanation:
Given that
Weekly salary of Mae Ling = $400
Commission rate = 6.5%
Mae ling's total weekly earning will be her salary plus her commission on the sales she does in the week.
Given that her sales for the said week are: $4300
Her commission will be:
[tex]Commission = 6.5\%\ of\ sales\\ = 0.065*4300\\=\$279.5[/tex]
Now to calculate her total salary, we will add the weekly salary and commission.
[tex]Total\ weekly\ Earning = Weekly\ Salary +\ Commission\\= \$400+\$279.5\\=\$679.5[/tex]
Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.
Which of the following data sets has a range of 40?
a. {40, 10, 20, 100}
C. {40, 10, 20, 50}
b. {40, 10, 20, 80}
d. {40, 10, 20, 40}
Please select the best answer from the choices provided
A
B
С
Answer:
The second answer - 40, 10, 20, 50
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.
Triangle FGH is rotated and then dilated by a scale factor of n to form triangle F’G’H’.
If FGH F’G’H’ what is the value of n
Answer:
B. [tex] n = \frac{1}{3} [/tex]
Step-by-step explanation:
If ∆FGH ~ ∆F'G'H', then their corresponding side lengths would be proportional. This means:
F'G'/FG = G'H'/GH = F'H'/FH = n
The ratio of any of their corresponding side lengths will give you the value of n.
Therefore:
n = F'G'/FG
F'G' = 5
FG = 15
Thus,
[tex] n = \frac{5}{15} [/tex]
[tex] n = \frac{1}{3} [/tex]
The scale factor which is a fraction implies that the size of ∆FGH was reduced after dilation.
Where would -(-3) be on a number line?
Solve five and three sixths minus two and one third.
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP ASAP!)
A) Two and three eighteenths
B) two and two ninths
C) three and two ninths
D) three and three eighteenths
(Here is an image if needed) :
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
Answer:
3 3/18
Step-by-step explanation:
What Is the result of adding these two equations
6x+2y =-2
3х – 2y = - 5
Answer:
x=3 y=-2
Step-by-step explanation:
The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
True
False
It is false that the expressions 4x − 2(5x − 1) and 6x + 2 are equivalent expressions
How to determine the true statement?The expression is given as:
4x − 2(5x − 1)
Open the bracket
4x − 2(5x − 1) = 4x − 10x + 2
Evaluate the like terms
4x − 2(5x − 1) = − 6x + 2
− 6x + 2 and 6x + 2 are not equal expressions
Hence, 4x − 2(5x − 1) and 6x + 2 are not equivalent expressions
Read more about equivalent expressions at:
https://brainly.com/question/2972832
#SPJ2
2.5% of Iphones tested were defected. How many Iphones out of 5000 would be defected?
Answer:
I think the answer would be 125 iPhones.
Step-by-step explanation:
So basically the question is what is 2.5% of 5000.
Just multiply 5000 * 0.025 = 125
There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation to use and how many school buses are needed then complete the sentence to explain your reasoning
increase 120 by 5% (answer)
Answer:
what is question is this the question
Answer:
126
Step-by-step explanation:
[tex]\frac{5}{100}[/tex] × 120 = 6
120+6= 126
A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?
Answer
9 and 10
Step-by-step explanation:
A is what percent of B? c A = 10 km, B = 1 km
Answer:
1000%
Step-by-step explanation:
Answer:
1000%
Step-by-step explanation:
The comparison is 10km and 1km, right?
A is 10 times bigger than B.
100% times 10 is 1000%
Hope this helps. :)
which of the following equations is perpendicular to y=3/4+4 and passed through the point (6,-12)
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x - 5 must have a slope that is the negative reciprocal of the original slope.
Step-by-step explanation: