Dominic is going to invest $1,800 and leave it in an account for 17 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Dominic to end up with $4,700?
Answer: 5.8%
Step-by-step explanation: got it right lol
If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.
Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing x units of a certain product is:
[tex]C(x)=x^2-15x+34[/tex]
We want to find the number of units manufactured at a cost of $8350. Therefore:
[tex]8350=x^2-15x+34[/tex]
Subtract 8350 from both sides:
[tex]x^2-15x-8316=0[/tex]
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -15, and c = -8316. Thus:
[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]
Therefore, our solutions are:
[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
5
8
∘
58
∘
x
∘
x
∘
6
6
6
6
5.8
5.8
Answer:
10
Step-by-step explanation:
he question lacks appropriate diagram. Find the diagram attached below.
From the isosceles triangle shown, we can see that it is made up of two right angled triangle.
Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;
From the formula:
Hyp² = Opp²+Adj²
Adj² = Hyp² - Opp²
The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.
Given Hypotenuse = √74
Opposite = 7
Adj² = Hyp²-Opp²
Adj² = (√74)² - 7²
Adj² = 74-49
Adj² = 25
Adj = √25
Adj = 5
The adjacent of both sides are equal
x = 2 × Adjacent side
x = 2(5)
x = 10
Please help solve, 7th grade work (see image)
If x =10 what is x over 2 plus 3x ??
Answer:
35
Step-by-step explanation:
Substitute x in the equation for 10
x/2 = 10/2
+ 3x = + 3(10)
10/2 = 5
+ 3(10) = + 30
5 + 30 = 35
I have this trigonometry worksheet, I just need help with questions from 18 to 28. thanks :)
a theater has 32 rows of seats. if there are 15 seats in the first row, 19 seats in the 2nd row, 23 in the 3rd row, and so on, how many seats total are there in all
Answer:
2464
Step-by-step explanation:
I added it up :)
Plz help me well mark brainliest if correct!
Answer:
diameter it goes throught the circle and as end points across
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT.What is the solution to the inequality 3+5/7x>1+x?
Answer:
C: X <= 7
Step-by-step explanation:
Reimagine the inequality as
3 - 1 >= X - 5/7*X
2 >= 2/7*X
1 >= 1/7 * X
7 >= X
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than 2
Answer:
4/6 or 2/3. Depends if your teacher wants it reduced.
Step-by-step explanation:
Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6
Fill in the blanks to complete the sentences below. (a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches ______. (b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than ______ standard errors from the population proportion. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Using confidence interval concepts, it is found that:
a) As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
b) If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
Item a:
For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:
As the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 95%.
Item b:
By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:
If a 95% confidence interval results in a sample proportion that does not include the population proportion, then the sample proportion is more than 2 standard errors from the population proportion.
A similar problem is given at https://brainly.com/question/23536238
Hailey made the following statement: "It is impossible to build a rectangular prism with a volume of 40 units 3 if one side measures 5 units." Key represents 1 cubic unit Select the two figures below that prove Hailey's statement is false.(no links/files)
Answer:
The answer is 3) and 4)
Step-by-step explanation:
They both have 40 units and a side that measures 5 units
1
13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?
pany. Image Credits: (b) Cjupit
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
Help please, due soon!
Step-by-step explanation:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
given r = 10 in
h = 30 in
Volume of Cylinder =
[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]
Please take note in this case choose the answer closest to the answer calculated.
Answer:
9,420 in^3
Step-by-step explanation:
V = π r^2 h
V = 3.14 · 10^2 · 30
V = 3.14 · 100 · 30
V = 3.14 · 3,000
V ≈ 9,420
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple interest will she have to pay on the loan?
Answer:
$2750 worth of simple interest
Step-by-step explanation:
The equation for simple interest is to multiply the amount by the time by the rate:
22000 * 5 * 0.025 = 2750
(2 * 15x) + (2 * 10)
Answer:
[tex](2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)[/tex]
Answer:
30x+20
Step-by-step explanation:
(2*15x) is 30x
(2*10) is 20
30x+20 can't be further simplified
You have 3/4 cup of cornmeal in your cupboard. A recipe for muffins calls for 1/5 cup of cornmeal. How much cornmeal would you have left if you made the muffins?
Answer:
11/20
Step-by-step explanation:
3/4 - 1/5 = 15/20 - 4/20 = 11/20
A pair of sunglasses is priced $15. If they are on sale for 30% off, what is the sale price?
Answer:
12 dollars
Step-by-step explanation:
This means the cost of the item to you is $12. You will pay $12 for a item with original price of $15 when discounted 20%. In this example, if you buy an item at $15 with 20% discount, you will pay 15 - 3 = 12 dollars.
Answer:
$4.50
Step-by-step explanation:
We know that there are sunglasses has a price of fifteen dollars.
We also know that said glasses are on sale for 30% off.
We need to find the sale price of these sunglasses.
When you need to find a certain sale price for an item, you need to multiply the original price by the percent it's on sale for.
[tex]OGprice * percent -off[/tex]
[tex]15*30[/tex]%
[tex]4.5[/tex]
Therefore, the sale price is 4 dollars and 50 cents.
which table has a constant of proportionality between y and x of 1/5? (from khan academy)
A.x-y
2-4/5
7-14/5
12-24/5
B.x-y
8-8/5
9-9/5
10-2
C.x-y
3-16/5
5-26/5
7-36/5
Answer:
C
Step-by-step explanation:
Solve for each choice until you get the answer 1/5.
A.
2 - 4/5
10/5 - 4/5 = 6/5; this is not 1/5
B
8 - 8/5
40/5 - 8/5 = 32/5; this is not 1/5
C
3 - 16/5
15/5 - 16/5 = -1/5
5 - 26/5
25/5 - 26/5 = -1/5
7 - 36/5
35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5
Helppppppppp meeee pleaseeee
Answer:
99 kilograms
Step-by-step explanation:
if 1 tire is 11 kg then 9 tires is 99
1 tire = 11
9 tires= 11 * 9
=99 kg
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
The inverse of the function
Answer:
It should be B
Step-by-step explanation:
A family of 3 children 2 adults visited a heath club. The club charges $y an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs Best models the situation
Answer:
Step-by-step explanation:y<30 and x<15
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For
one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 120 milligrams of Medication A with 180
milligrams of Medication B. However this week, the doctor said to only use 165 milligrams of Medication B.
How many milligrams of Medication A should be mixed this week?
Answer:
Hi ^^
-------------------------
Solution:
Step one- Set up a ratio:
· Originally the ratio was: 110:143, make that equivalent to x:117
--> 110/143 = x/117 <-- notice this is A/B = A/B
--> to solve for x, just multiply by 117
x = 110 * 117 / 143 = 90 mg
----------------------------------------------------------------------------------------
·You should use 90 mg of medication A
oki baiiii ^^
what is the range of 17, 12, 28, 21, 14, 74, 32, 14, 25, 23
Answer:
it's 22 I hope you got it right if not then i'm sorry
Answer:
62
Step-by-step explanation:
Each students in class 38 students was asked to report how many siblings he has. Data a 0/38 Data b 1/38 Data c 13/38 Data 8/38 Based on the data, estimate the probability that a randomly selected students from this class is an only child.
Answer:
8/38
Step-by-step explanation:
You got it right, trust yourself
Solve for x
X^2 - y = z
Answer:
± sqrt(z+y)
Step-by-step explanation:
x^2-y=z
for x
x^2=z+y
taking sqrt on both sides
x= ± sqrt(z+y)
Which of the following properties justifies that: "If XU = UV and UV PQ, then XU = PQ"?
a. reflexive b. symmetric
c. transitive d. equivalence
Answer:
Transitive property
Step-by-step explanation:
Given
[tex]XU = UV[/tex]
[tex]UV = PQ[/tex]
Then:
[tex]XU = PQ[/tex]
Required
Determine the property
The property is transitive.
It states that:
Given that:
[tex]a= b[/tex] and [tex]b = c[/tex]
Then:
[tex]a = c[/tex]
When this is applied here, we have:
Given that:
[tex]XU = UV[/tex] and [tex]UV = PQ[/tex]
Then:
[tex]XU = PQ[/tex]
question in screenshot
i think the answer is 4/5
Answer:
yeah same it really could be