4y^2 +9=x
Standard form?
Answer:
y = 1/2 ⋅ √ x − 9
y = − 1 /2 ⋅ √ x − 9
Step-by-step explanation:
Find the compound amount and compound interest on $6000 invested at 6%
compounded continously for 6 years. Use e = 2.71828
(Round value of exponential expression upto 4 decimal places.)
Answer:
$8,511.1147
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^n
P is the amount invested = $6000
r is the rate = 6% = 0.06
t is the time = 6yrs
A is the compound amount
A = 6000(1+0.06)^6
A = 6000(1.06)^6
A = 6000(1.4185)
A = 8,511.1147
Hence the compound amount to 4dp is $8,511.1147
Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igor´s castle?
Please this is due in 15 minutes
Please help, will give brainliest
Sue needs 1/3 of a cup of flour for 1/4 of a batch of cookies. How much flour does she need for a whole batch of cookies?
***WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER***
Answer:
1 1/3 cups of flour
Step-by-step explanation:
1/3 x 4 = 4/3 = 1 1/3
Hope that helps! :)
-Aphrodite
A model rocket builder moved 50 feet away from the base before launching his model rocket straight up in to
the air. The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees.
What is the maximum height reached by the rocket?
Answer:
tan(84)=x/50
please mark as brainliest
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Can you help thanks!
Answer:
y = 3x + 41
Step-by-step explanation:
First, lets set up the slope-intercept form equation, that is...
y = mx + b
m = slope
b = y-intercept
because the y-intercept is a positive value, it cannot be y=-3x-41 or y= 3x-41
now, we know that b = 41, but what is the slope?
Well, here are tips for doing slope
if the line is gradually increasing upwards, then it is a positive slope
if the line is gradually decreasing downwards, then it is a negative slope
because the line in the picture is positive, this proves y=-3x+41 wrong, therefore making y = 3x + 41 the only correct answer
Therefore, your correct answer is y = 3x + 41
Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?
Answer:
s
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<VUR and <TUR; <VUW and <VUR; <VUW and <TUW; <SRP and <SRU
Step-by-step explanation:
All the angles that are next to each other would be considered ajacent.
A)$150 at 3 % interest for 2 years
B)$750.00 at 1/2% interest for 3 years C) $2,250.00 at 1 3/4% interest for 1 year
D)$2.550.00 at 3 1/4 interest for 4 years
Answer:
A) 159.135 = X
B) 2,531.25 = X
C) 6,187.5 = X
D) 831,947.46 = X
Step-by-step explanation:
The following investments are required to be calculated:
A) $ 150 at 3% interest for 2 years
B) $ 750.00 at 1/2% interest for 3 years
C) $ 2,250.00 at 1 3/4% interest for 1 year
D) $ 2,550.00 at 3 1/4 interest for 4 years
Therefore, the following calculations must be performed:
A)
150 x (1 + 0.03) ^ 2 = X
150 x 1.03 ^ 2 = X
159.135 = X
B)
750 x (1 + 0.5) ^ 3 = X
750 x 1.5 ^ 3 = X
2,531.25 = X
C)
2,250 x (1 + 1.75) = X
2,250 x 2.75 = X
6,187.5 = X
D)
2,550 x (1 + 3.25) ^ 4 = X
2,550 x 4.25 ^ 4 = X
831,947.46 = X
If you know the area of a circle, how can you find its radius? Use the drop-down menus to explain your answer. Choose.. the area by n, and then take the Choose... of the answer. Choose
1 choose: multiply or Divide
2 Choose: square or square not
Answer:
This is the answer!!!
Step-by-step explanation:
Please tell me please
Answer:
C
Step-by-step explanation:
It is one whole shaded diagram (100%) and half of the diagram (50%), making 150%
Answer:
a or c
Step-by-step explanation:
Need help only on 9 and11 thank you don’t know really how to do
غف8ىرف4-
ف8غ4ى0ض8رص90
On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday.
Answer:
3/100 × 30000 is the answer to your question.
Mr. Sanchez built a fence to enclose a rectangular
yard for his horse. If the area of the yard to be
enclosed is 2835 square feet, and the length of
the yard is 45 feet, how much fencing is needed?
9514 1404 393
Answer:
216 feet
Step-by-step explanation:
The area is given by the formula ...
A = LW
Solving for width, we have ...
W = A/L = 2835 ft²/(45 ft) = 63 ft
__
The perimeter is given by the formula ...
P = 2(L +W)
P = 2(45 ft +63 ft) = 2(108 ft)
P = 216 ft
216 feet of fencing are needed to enclose the area.
the landscaper uses 4 bags of topsoil to cover 3/8 of the garden. how many bags of topsoil will he need to buy to cover the whole garden
Given z, find lzl.
Z = 10i
IzI = [?]
Answer: it's 10, not 210.
The ratio of games won to games lost for a baseball team is 7:2. The team
won 14 games. How many games did the team lose?
Answer:
They lost 4 games.
Step-by-step explanation:
brainliest pls
Please help will give brainliest!
Answer:
Yes, Yes, No, Yes.
Step-by-step explanation:
2/5 as a decimal = 0.4
4 ÷ 0.4 = 10
1 is correct.
2 x 10 = 20
2 is correct.
6 x 10 = 60
3 is incorrect.
10 ÷ 2 = 5
4 is correct.
The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55. Find the numbers. If there
use the "or" button
The two numbers are 3 and 8.
What are squares of a number?Square numbers are numbers that can be multiplied by themselves.
Given that, The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55.
Let the numbers be x and y, then,
x²+y² = 73
x²-y² = 55
On solving, we get,
x² = 9
x = 3
Putting x = 3 in first equation, we get
3²+y² = 73
y² = 64
y = 8
Hence, the required numbers are 3 and 8.
For more references on square of a number, click;
https://brainly.com/question/28610159
#SPJ2
Question 11 of 25
What is the solution to this inequality?
X/12 +3 <=7
A. X>=48
B. X<= 81
C. x>=81
D. X<=48
SUBM
Answer:
D
Step-by-step explanation:
first multiply both sides by 12
collect like terms
x/12×12+3×12<=7×12
x+36<=84
x<=84-36
x<=48
What value of n makes the equation true ? Show your work.
Answer:
n = 6
Step-by-step explanation:
Given the expression
[tex](\frac{19^8}{7^n})^4 = (\frac{19^4}{7^3})^8 \\\frac{19^{32}}{7^{4n}} = \frac{19^{32}}{7^{24}}\\\frac{1}{7^{4n}} = \frac{1}{7^{24}} \\Reciprocate \ both \ sides\\7^{4n} = 7^{24}\\4n = 24\\n = \frac{24}{4}\\n = 6[/tex]
Hence the value of n is 6
Due VOL
One number is 2 more than 2 times another. Their product is 12. Find the numbers.
Julie had 3 1/3 cups of flour. A brownie recipe called for 2 2/3 cups of flour. If Julie made one batch of brownies, how much flour did she have left over?
Answer:
2/3
Step-by-step explanation:
3 1/3-2 2/3= 2/3
Hw
EXERCISE solve the following problems
? Rhonda had to draw the lines of symmetry in the parallelogram below
She drew this:
Was she correct?
Yes No
shape
Explain your answer
How many lines of symmetry are
in the 5-pointed star to the right?
raw the lines of symmetry
What net is shown below?
rectangular prism
square pyramid
triangular pyramid
triangular prism
Answer:
Square pyramid.
Step-by-step explanation:
Pretend that all the sides are up, and then you’d know it’s a square pyramid because th e bottom is a square and when you put up the sides it’s a pyramid.
I hope this helps! Good luck!
(please give me brainliest!)
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test?
a. There is a 26.23 percent chance that grade level and how a student commutes to school are independent.
b. There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school.
c. Assuming there is no association between a student's grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
d. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger.
e. Assuming that a student's grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller.
Answer:
c.
Step-by-step explanation:
The following is how the p-value should be interpreted:
The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.
Null hypothesis
[tex]\mathbf{H_o :}[/tex] A student's grade level has no bearing or association on how they commute to school.
Alternative hypothesis;
[tex]\mathbf{H_1: }[/tex] There is a link between a student's grade level and the way they get to school.
The test statistic's value is 14.63, and the p-value is 0.2636.
As a result, the p-value is interpreted as that of option c in the question.
Answer: C
Step-by-step explanation: Because the p value is less than 0.05 you know that your null hypothesis can be rejected and thus your alternative can have significant evidence to be proven. Thus you can eliminate answer choices B, and E. A and B can be rejected because your p value from your chi square test is telling you the likelihood of your chi square falling in a certain category of the graph.
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
We can first solve for the face diagonal. That is [tex]\sqrt{(10^2+5^2)}[/tex]. Notice this will form a right triangle with the vertical side. We get that the face diagonal = [tex]\sqrt{125}[/tex]. Now, we can use Pythagorean theorem again to get the straw length:
[tex]s^2 = 9^2+\sqrt{125}^2[/tex] where s = the straw length.
We can solve that s = [tex]\sqrt{206}[/tex]
You deposit
$
6500
into an account paying
8
%
annual interest compounded monthly. How much money will be in the account after
7
years?
Use the formula A = p(1 + r/n)^(nt).
Here is the set up:
A = 6500[1 + (0.08/4)]^(4•7)
Solve for A.