i think your answer is going to be 4,200/70 = 70
^^
Carl is the beneficiary of a $29,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money over a 7-year period in equal installments at the end of each year. If the fund earns interest at the rate of 4%/year compounded annually, what amount will he receive each year?
Answer:
$8,939.58
Step-by-step explanation:
Let x represent the amount to be received each year
==> x * Present value annuity factor (4%,7yrs) = $29,000
==> x * 3.240 = $29,000
==> x = $29,000/3.244
x = 8939.580764488286
x = $8,939.58
So, $8,939.58 is the amount he will receive each year.
The difference between teenage female and male depression rates estimated from two samples is 0.08. The estimated standard error of the sampling distribution is 0.04. what is the 95% confidence interval? Use the critical value z - 1.96.
Round all calculations to two decimal places. Put lower bound in the first box and upper bound in the second box.
Answer: (0.0016, 0.1584)
Step-by-step explanation:
Given that:
Mean (m) = 0.08
Standard Error = 0.04
Zcritical at 95% = 1.96
Using the relation :
Mean ± Zcritical * (standard error)
0.08 ± 1.96 * (0.04)
Lower boundary = 0.08 - (1.96 * 0.04)
Lower boundary = 0.08 - 0.0784 = 0.0016
Upper boundary = 0.08 + (1.96 * 0.04)
Upper boundary = 0.08 + 0.0784 = 0.1584
Confidence interval is Hence,
(0.0016, 0.1584)
The 95% confidence interval is given by (0.0016 , 0.1584) and this can be evaluated by using the mean and standard error relation.
Given :
The difference between teenage female and male depression rates estimated from the two samples is 0.08.The estimated standard error of the sampling distribution is 0.04.The critical value z = 1.96.95% confidence level.To determine the 95% confidence interval using the following relation:
[tex]\rm \mu \pm z_{critical}\times standard \;error[/tex]
[tex]0.08\pm 1.96\times 0.04[/tex]
So, the lower and upper boundary is (0.0016 , 0.1584).
Therefore, the 95% confidence interval is given by (0.0016 , 0.1584).
For more information, refer to the link given below:
https://brainly.com/question/16555520
Rosalita is making chocolate chip cookies. She needs 20 ounces of
chocolate chips. She has
2 1/4 pounds of chocolate chips. There are 16 ounces in 1 pound. How
many ounces of chocolate chips will Rosalita have left after she makes her
cookies?
Find the greatest common factor of 6 and 35
Answer:
6
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The radius of a ball is 7 inches. What is the approximate surface area of the ball? Round to the nearest tenth and use
3.14 fors
Recall the formula SA-4.
O 87.9 square inches
O 175.8 square inches
O 196 square inches
O 615.4 square inches
Answer:
615.832in^2
Step-by-step explanation:
Step one:
given
The radius of a ball is 7 inches.
Required:
the surface area of the ball
Step two:
the formula for the surface area is
SA= 4πr^2
substitute
[tex]SA=4*3.142*7^2\\\\SA= 4*3.142*49\\\\SA=615.832 in^2\\\\[/tex]
Fill in the blank in this equation y=7x-5; (2,__)
Answer:9
Step-by-step explanation:
If X is 2, then plug it in to get 2x7-5= 9
Y is 9
what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5
Answer:
y=-5x+2
Step-by-step explanation:
desmos
also -5= the slope and 2 was the y intercept aka B you had all Pieces
which of the following graph represents the solution set for 5x+38 ≤ 4(2-5x)
Answer:
Option C
Step-by-step explanation:
Given inequality is,
5x + 38 ≤ 4(2 - 5x)
5x + 38 ≤ 8 - 20x [Distributive property]
5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]
25x + 38 ≤ 8
(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]
25x ≤ -30
[tex]\frac{25x}{25}\leq -\frac{30}{25}[/tex] [Dividing by 25 on both the sides of the inequality]
x ≤ 1.2
Therefore, Option (C) will be the correct graph.
I need ya help please
Find the percent of change for 25 is decreased to 10.
Answer:
60%
Step-by-step explanation:
25-10=15
15÷25=0.6
0.6×100=60
rename the fraction 2/5 using tenths and hundredths
Answer:
20/50
Step-by-step explanation:
i think
Geomeyry question 19
Answer:
B, C, D, E
Step-by-step explanation:
Express (x+9)^2(x+9)
2
as a trinomial in standard form.
Given:
[tex](x+9)^2[/tex]
To find:
The given expression as a trinomial in standard form.
Solution:
We have,
[tex](x+9)^2[/tex]
Using the formula, [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex](x+9)^2=x^2+2(x)(9)+(9)^2[/tex]
[tex](x+9)^2=x^2+18x+81[/tex]
Standard form a trinomial is [tex]ax^2+bx+c[/tex].
[tex]x^2+18x+81[/tex] is in the standard form.
Therefore, the required expression is [tex]x^2+18x+81[/tex].
A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?
Answer:
it would take 4 grams. I hope this helps
Answer:
75 grams! hope this helps :3
in a cookie recipe 1 and 2/3 cups milk makes 16 cookies. How many cups of needed to make 24 cookies
Answer:
2 1/2 or 5/2 cups of milk
Step-by-step explanation:
if 16 cookies are made from 1 2/3 cups of milk which equals 5/3 cups of milk that means that you need 5/2 or 2 1/2 cups of milk to make 24 cookies because you need to multiply 5/3 by 16 and then multiply 5/48 by 24 which is 5/2 or 2 1/2 cups of milk
Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y
The book store earned x dollars in profit. Last week, the total profit
increased by 5%. Which expression represents the book store's total
increase in profit?
Answer:
x + 0.05x
Step-by-step explanation:
Given
Earnings earned by the bookstore = x
percentage increase = 5%
Increment = 5% of x
Increment = 0.05x
book store's total increase in profit = Original earning + increment
book store's total increase in profit x + 0.05x
Hence the expression that represents the book store's total increase in profit is x + 0.05x
A cell phone is plugged in to be charged. The table shows the percent of battery power at some times
after it was plugged in.
Time
Percent charged
6:00 pm
2%
6:15 pm
10%
6:35 pm
21%
7:05 pm
38%
At what time will the battery be 100% charged? Use the data to find out and explain or show your
reasoning
Answer:7:45
Step-by-step explanation:
please help i will mark brainliest!!
Answer:
asraerysuyjsathsyjtdtgagtash
Step-by-step explanation:
What is the coefficient: 4 - 2y
The coefficient of the variable y for the given equation 4 - 2y is -2.
What is the coefficient?A coefficient is a number that is being multiplied by the variable, i.e. the numerical term with variable, that is a number that is placed before another variable. While the variable represents some quantity, it may also represent a number, a function, etc. The letters a, b, c, x, y, and z are common symbols used for variables.
We have,
An equation 4 - 2y,
So,
In the above-given expression,
We have only one variable and one Constant term,
i.e.
Constant term = 4
And,
Variable term = -2y
So,
In the variable term,
The coefficient of y = -2
So,
The coefficient of y is -2.
Hence, we can say that the coefficient of the variable y in the given equation is -2.
To know more about coefficient click here
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Can anyone solve this? If so tell me and make sure u know what ur doing please
Answer:
-2
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]
= [tex]\frac{-2-2}{-1+3}[/tex]
= [tex]\frac{-4}{2}[/tex]
= -2
Dan earns £9.90 per hour. How much will he earn for 4 hours work?
Answer:
39.60
Step-by-step explanation:
9.90 x 4 = 39.60
"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony
the polygons in each pair are similar. find the missing side length
Answer:
Can you add a picture?
The point (-3, 8) is translated using the rule (x + 5, y - 7). The new point is (____).
O (2, 1)
O (8,1)
O (-2, 15)
0 (-8, 1)
Answer:
(2, 1)
Step-by-step explanation:
You add 5 to the x coordinate, which is -3 and you get 2. Then add -7 to the y coordinate, which is 8 and get 1
Answer:
(2, 1)
Step-by-step explanation:
(x + 5, y - 7), (-3, 8)
(- 3 + 5, 8 - 7) = (2 + 1)
Thus, The new point is (2 + 1).
-TheUnknownScientist
Identify a diameter of circle E.
Answer: B) HI
Step-by-step explanation:
There is a proportional relationship between time in hours and time in days.
A. What is the constant of proportionality?
B. what equation describes this relationship?
Of the proportional relationship between time in hours and time in days, we have that:
a) The constant of proportionality is 24.
b) The equation is [tex]h = 24d[/tex].
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.Item a:
A day has 24 hours, hence the constant of proportionality is 24.
Item b:
Considering the time in hours as the output and the time in days as the input, the equation is:
[tex]h = 24d[/tex]
You can learn more about proportional relationships at https://brainly.com/question/25815502
Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?
Answer:
85.50+15.39=100.89 dollars
Step-by-step explanation:
First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D
You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns?
Answer:
I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9
Step-by-step explanation:
You multiply 3 x 18 and 9 x 18
Im sorry if im wrong but i dont know what you were asking
If 3/4 = x/8 then x is equal to what
Answer:
x is 6
Step-by-step explanation:
3/4 * x/8
3*8=24 then,
divide by 4 which gives you 6.
Also if you simplify 6/8, it will give you 3/4.
Answer:
6 =x
Step-by-step explanation: