Answer:
(3,2)
Step-by-step explanation:
3x-2y=5
x+2y=7 Add them up
4x=12 Solve for x
x=3
3+2y=7 Plug it back into either one of the parent functions and solve for y
2y=4
y=2
(3,2) That's the point where the two lines intersect each other.
Convert r = 8cos θ to rectangular form. A. x2 + y2 = 8y B. x2 + y2 = 64x C. x2 + y2 = 16x D. x2 + y2 = 8x
Given:
The given polar equation is:
[tex]r=8\cos\theta[/tex]
To find:
The rectangular form of the given polar equation.
Solution:
We know that,
[tex]r^2=x^2+y^2[/tex]
[tex]x=r\cos \theta[/tex]
We have,
[tex]r=8\cos\theta[/tex]
Multiply both sides by r.
[tex]r^2=8r\cos\theta[/tex]
[tex]x^2+y^2=8x[/tex]
Therefore, the correct option is D.
Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?
Answer:
the answer is 7
Step-by-step explanation:
Compounded Continuously:
A=Pe^rt
A=8600
P=7600
r=0.019
8600=7600e^0.019t
[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]
1.1315789=e^0.019t
In(1.1315789)=e^0.019t
ln(1.1315789)=
\,\,0.019t
0.019t
6.5059977=t
t=7
thxxxx byee
brainliest goes to whoever answers the question correctly
Answer:
A
Step-by-step explanation:
A = 8/7
B = -7/8
C = .78
A is the greatest
Identical rods can be placed end to end, as shown below.
Each rod is 17-5cm long
17.5 cm
17. 5 cm
17.5cm
How many of these rods can be placed in this way, between two points 4 metres apart?
Step-by-step explanation:
if there is no inventory to move around, there is no need for logistics. do you agree ? why ? why not ?
Parallelogram with a measure of 74 find the value of X
Answer:
x = 74
Step-by-step explanation:
One of the properties of a parallelogram is that opposite angles are congruent. This means that the angle with a measure of (74) degrees and (x) degrees are the same, thus the following conclusion can be drawn,
x = 74
Which choices are equivalent to the expression below? Check all that apply. Sqrt -36 A. -6 B. I sqrt36 C. 6i D. - sqrt36
Answer:
6iStep-by-step explanation:
Given the expression √-36
This can also be written as;
√36 = √36 * √-1
Since i² = -1
√-1 = i
Substitute into the resuting expression
√-36 = √36 * i
√-36 = 6i
Hence the required answer is 6i
Answer: The answer is i sqrt 36 and 6i
Step-by-step explanation: I just took the test, so yea. :)
9. The Osbornes have an annual income of $66,000 and monthly expenses of $5300, and they
are trying to determine whether or not they qualify for Chapter 7 bankruptcy. Their annual
income is greater than that of the median annual income of their state, but they still may be
eligible according to the means test. Help the Osbornes through the steps of the means test to
see if they qualify.
Part I: What is the Osbornes' monthly income?
I
Part II: What is the Osbornes' monthly income minus monthly expenses?
Part III: What is 60 times the answer to Part II?
Part IV: Is the answer to Part III greater than or less than $10,000?
Part V: Are the Osbornes eligible for Chapter 7 bankruptcy according to the means test?
A family qualifies for bankruptcy if the difference between their monthly income and expenditure, multiplied by 60 is greater than $10,000. So, The Osbornes qualify for chapter 7 bankruptcy.
We have the following parameters:
[tex]Annual\ Income = \$66000[/tex]
[tex]Monthly\ Expenses = \$5300[/tex]
To calculate the monthly income, we simply divide the annual income by 12 (12 is the number of months in a year)
So, we have:
[tex]Monthly\ Income = \$66000 \div 12[/tex]
[tex]Monthly\ Income = \$5500[/tex]
The difference between the monthly income and the expenses is:
[tex]Difference = Monthly\ Income - Monthly\ Expenses[/tex]
[tex]Difference = \$5500 - \$5300[/tex]
[tex]Difference = \$200[/tex]
The above result multiplied by 60 is:
[tex]Product = Difference \times 60[/tex]
[tex]Product = \$200 \times 60[/tex]
[tex]Product = \$12000[/tex]
$12000 is greater than $10000
Since $12000 is greater than $10000, then they are eligible for chapter 7 bankruptcy.
Learn more about bankruptcy test at:
https://brainly.com/question/4418659
PLEASE IM BEGGING YOU
Which is closest to the number of hot chocolates the owner would expect
to sell when the temperature is 38°F?
19
15
23
Answer: the answer is 19
Step-by-step explanation:
Find the distance between point M and point G.
Answer:
6 pts
Step-by-step explanation:
from g to m in the English alphabet is 6 points so the answer is 6
What is the solution set to the given inequality?
6(x-2) 2 8 + 8x
Answer:
48 x 2 − 184 x + 192
Step-by-step explanation:
Is this correct? Please help me due today.
-8 + 9 · 2 ÷ -3. please explain it to me step by step.
Answer:
-14
Step-by-step explanation:
Type it in a calculator
Answer:
-14
Step-by-step explanation:
positive 9 × 2 = 18 ÷ 3 = -6
negative 6 + negative 8 = - 14
a negative plus a negative always equals a negative
Hope this helps or if you don't understand you can use photo math <3
solve in simplest form
15 3/5 - 3 2/7
Answer:
12 11/35
Step-by-step explanation:
Given Data
First term= 15 3/5
To simple fracrion= 78/5
Second term= 3 2/7
To simple fracrion= 23/7
Hence the operation goes thus
= 78/5- 23/7
LCM = 35
=546-115/35
=431/35
=12 11/35
Answer:
[tex] 12 \frac{11}{35} = \frac{431}{35} [/tex]
Step-by-step explanation:
[tex]15 \frac{3}{5} - 3 \frac{2}{7} \\ (15 - 3) + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + \frac{11}{35} [/tex]
[tex] \boxed{Answer:{\boxed{\green{= 12 \frac{11}{35} = \frac{431}{35}}}}} [/tex]
What are the possible measures of the triangles side? Select all that apply
Answer:
I believe the answer would be A and C
Step-by-step explanation:
Answer:
a,c and e
Step-by-step explanation:
carpet cost $27 per square
yard. Use two unit multipliers to
find the cost per square foot
Answer:
5 dollars per foot
Step-by-step explanation:
What is the range for
Answer:
In statistics, the range of a set of data is the difference between the largest and smallest values.
Step-by-step explanation:
Easy as pie
PLSSSS HELP ASAP I NEED HELPPPPPPPPPPPPPPPPP
Florence has $400 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will she earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$20
Step-by-step explanation:
I = 400(.05)(1)
I = 20
Can someone help me plz I don’t understand and its due in a few?
Answer:
Step-by-step explanation:
pattern by pattern
+
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6
Which subtraction problem is shown on the number line?
O A. 1-4
OB. 1-5
O c. 4-1
OD. 5-1
If the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is _______.
Answer:
15Step-by-step explanation:
11+4=15
The sixth term of an arithmetic sequence with fifth and common difference of 11 and 4 respectively is 15
Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
11 = a + 4d
d = 4
Hence,
11 = a + 4(4)
11 = a + 16
a = 11 - 16
a = -5
Therefore, the sixth term is as follows
a + 5d = a₆
-5 + 5(4) = a₆
a₆ = -5 + 20
a₆ = 15
learn more on arithmetic sequence here: https://brainly.com/question/11242271
Which point represents the center of the circle shown below?
R
S
А
A. Point O
B. Point S
C. Point A
D. Point T
HELPP
Tommy wants dessert for dinner so his mom is making dinner cupcakes. Her recipe yields 6 cupcakes but she only wants to make 3. Can you halve this recipe so Tommy can have cupcakes for dinner?
Answer:
yes
Step-by-step explanation:
half of 6 is 3 so
Factor the expression: 625t^5-1715t^2
Please show steps!
Answer:
5[tex]t^{2}[/tex](5t-7)(25[tex]t^{2}[/tex]+35t+49)
Step-by-step explanation:
© Sally borrowed $14,000 at an interest rate
of 10% for 5 years. How much interest did
She pay? Show work and select your answer,
1)The sum of a number and 81 is at least 102.
Answer:
any number grater than or equal to 21
Step-by-step explanation:
The owner of a snow-cone stand used gallon of syrup to make 16 cherry snow cones. She used the same amount of syrup in each snow cone. How much syrup in gallons was used in each cherry snow cone?
A.1 gal
В.4 gal
C.1/64 gal
D.64 gal
it is the c.1/64 gal
hello and this is the answer 1/64 gal
You put $400 in a savings account. The account earns 7% simple interest per year.
a. What is the interest earned after 10 years?
b. What is the balance after 10 years?
Answer:
786.86 would have been earned after ten years.
After ten years the balance would be 1186.86
Step-by-step explanation:
First I put the numbers into the equation 400l(1+.07/1)^10 and solved it to get 786.86 then added that to the original amount getting the second part of the answer :)
Winnie collects data from a random sample of seventh graders out of 60 responders 18 attended after school programs of the 220 graders attending winnies school how many would be expected to attend after school programs
help me find the equation of straight line (2,3)