If x+y=1 and x/y=1 , what is the product of x and y?
F. 1/4
G. 1/2
H. 3/4
J. 1
K. 4
Answer: g
Step-by-step explanation: 1
2
1
2
=(
1
2
)(
2
1
)
=
(1)(2)
(2)(1)
=
2
2
=1
Brianna invested $990 in an account paying an interest rate of 9 3 4 9 4 3 % compounded continuously. Penelope invested $990 in an account paying an interest rate of 9 1 2 9 2 1 % compounded monthly. After 16 years, how much more money would Brianna have in her account than Penelope, to the nearest dollar?
Answer:
Brianna would have $177 more in her account than Penelope after 16 years.
Step-by-step explanation:
Note: There are errors in the question especially in how the interest rates are stated. These are therefore fixed before answering the question. The complete question with the fixed errors is given as follows:
Brianna invested $990 in an account paying an interest rate of 9.34943% compounded continuously. Penelope invested $990 in an account paying an interest rate of 9.12921% compounded monthly. After 16 years, how much more money would Brianna have in her account than Penelope, to the nearest dollar?
The explanation to the answers is now provided as follows:
Step 1: Calculation of the amount of money Brianna would have in her account after 16 years
Since the interest rate is compounded continuously, the amount can be calculated using the formula for calculating the future of value (FV) with a continuous compounding interest rate as follows:
FVB = Pe^(rt) …………………………. (1)
Where;
FVB = Future value or the amount of money Brianna would have in her account after 16 years = ?
P = Amount invested = $990
e = exponential function
r = interest rate = 9.34943%, or 0.0934943
t = number of years = 16
Substituting the values into equation (1), we have:
FVB = $990 * e^(0.0934943 * 16)
FVB = $990 * e^(1.4959088)
FVB = $990 * 4.46339103998695
FVB = $4,418.75712958708
Rounding to the nearest dollar, we have:
FVB = $4,419
Therefore, Brianna would have $4,419 in her account after 16 years.
Step 2: Calculation of the amount of money Penelope would have in her account after 16 years
Since the interest rate is compounded monthly, the amount is calculated using the normal formula for calculating the future value as follows:
FVP = P * (1 + R)^n …………………………. (2)
Where;
FVP = Future value or the amount of money Penelope would have in her account after 16 years = ?
P = Amount invested = $990
R = monthly interest rate = Interest rate / 12 months = 9.12921% / 12 = 0.0912921 / 12 = 0.007607675
t = number of months = number of years * 12 months = 16 * 12 = 192
Substituting the values into equation (2), we have:
FVP = $990 * (1 + 0.007607675)^192
FVP = $990 * 1.007607675^192
FVP = $990 * 4.28510670976906
FVP = $4,242.25564267137
Rounding to the nearest dollar, we have:
FVP = $4,242
Therefore, Penelope would have $4,242 in her account after 16 years.
Step 3: Calculation of the amount of money Brianna would have more in her account than Penelope after 16 years
From Step 1 above, we have:
FVB = Future value or the amount of money Brianna would have in her account after 16 years = $4,419
From Step 2 above, we have:
FVP = Future value or the amount of money Penelope would have in her account after 16 years = $2,242
The amount of money Brianna would have more in her account than Penelope after 16 years can be calculated by deducting FVP from FVB to obtain the difference as follows:
Difference = FVB - FVP = $4,419 - $4,242 = $177
Therefore, Brianna would have $177 more in her account than Penelope after 16 years.
Answer:
$212
Step-by-step explanation:
trust me
can you please quick solve this, thank you:))
3x+2y=5
2x+2y=4
Answer:
(x,y)=(1,1)
Step-by-step explanation:
got it right on a test
Answer:
X=+4
y=-2
Step-by-step explanation:
this is simultaneous equations
hence,
using elimination method
3x+2y=5
2x+2y=4
2y eliminates 2y
3x+2x=5x=5*4
5x=20
X=20/5
X=+4
(2)
to find "y"
take any of the equation above
using equ(2)
2x+2y=4
2(4)+2y=4
+2y=+4-8
+2y=-4
y=-4/2
y=-2
hope it useful!
Find the slope with (7, 4) and (8, 2)
Answer:
slope is -2
Step-by-step explanation:
2-4= -2
8-7=1
-2/1= -2
branliest plzzx
Admission to a concert is $20. It costs an additional $7.50 for each T-shirt you bought. You spent a total of $57.50 at the concert. How many T-shirts did you purchase at concert?
Answer:
you bought 5 T-shirts
Step-by-step explanation:
Helppp mehhhh please!!!!!!!! :)
Answer:I think it is 82.5
Step-by-step explanation:
Answer:
82.5
Step-by-step explanation:
2 hours= $165
1 hour= 2 hours/ 2.
so 1 hour of pay= 165/2= 82.5
Gerald and his dog Spike get on the scale together. Their combined weight is 128 pounds. If the ratio of Gerald's weight to Spike's weight is 3:1, how much does Gerald weigh?
Answer:
96lbs
Step-by-step explanation:
g + s = 128
g = 3s
3s + s = 4s = 128
s = 128/4 = 32
g = 3s = 96
Which equation represents this number sentence? Fourteen more than the quotient of a number and 5 is 23.
5/n+14=23
n+14/5=23
5/n+14=23
n/5+14=23
Answer:
D) n/5+14=23
Step-by-step explanation:
A) cannot be the right answer because the question states "quotient of a number and 5", which means that it has to be "n/5"B) cannot be the right answer because the question states "fourteen more than the quotient", which means that it has to be "n/5 + 14"C) cannot be the right answer because it's the same as A), it has to be "n/5"D) is the correct answer- this is because the question states "fourteen more than...", which means that "14" has to be added to the quotient; the question also says the "quotient of a number and 5", which means it should be "n/5"write 640000 in standard form
Answer:
6.4×10⁵
Step-by-step explanation:
Answer:
640000 in a standard form is 6.4 ×10^5
A recipe calls for 2 cups of milk. The recipe makes 10 servings. How many cups of milk are needed to make 8 servings?
Answer:
1.6 Cups of Milk
Step-by-step explanation:
1 serving = 0.2 cups of milk
8 servings= 0.2*8 which equals 1.6
I hope i helped you :)
Is PRB congruent to QSB? Justify your answer.
This problem requires you to show your work and explain your reasoning.
Be sure to -
• Mark given information on the diagram
• Answer the question
• Provide justification statements that are mathematically correct
Answer:
When looking at this model, and asking yourself the question, is PRB congruent to QSB? PRB is in fact congruent to QSB. Congruent means that two figures have the same shape/size, no matter if it's mirrioring or not it is congruent. In this image, PRB is one shape, and QSB is another. They have the exact same points and they're also the same shape, but one is flipped the right side up. It was also stated PQ and RS bisect eachother at point B, <p is congruent to <Q, and <R is congruent to <S proving all these connections make this figure conguent.
Step-by-step explanation:
Function A is represented by the equation y = 2x+5.
Function B is a linear function that goes through the points shown in the
table.
X 1 3 4 6
y -1 3 5 9
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 5.
The rate of change of function B is 4.
B. The rate of change of function A is 2.
The rate of change of function B is 2.
C. The rate of change of function A is 2.
The rate of change of function B is 4.
D. The rate of change of function A is 5.
The rate of change of function B is 2.
Answer:
i think its A or D but idrk, it has been 3 days so what did you choose and did you get it right or wrong?
Step-by-step explanation:
Use the image to help you answer these question slides 2. Angles g and f are:
a) consecutive interior angles
b) alternate interior angles
c) vertical angles
d) corresponding angles
Answer:
alternate interior angles
Step-by-step explanation:
They are on alternate sides of the line and they are equal
HELP PLEASE
Which number sentence is true
O A) 12 < |-12|
OB) |-121 <|-48|
C) |-48|< |48|
OD) |12| > |-48|
Answer:
A
Step-by-step explanation:
A factory produces 40 cars per week. What is the percentage in the production rate if it changes from 40 cars per week to 100 cars per week?
HELP PLEASE I DONT UNDERSTAND AND NEED TO PASS
Answer:
1: 80 degrees
Step-by-step explanation:
1:
Angle R is 130
Angle S is 60
Quadrilatural's angles add up to 360
360 - 130 - 60 = 170
In my opinion angle U looks like a right angle so 90 degrees.
170 - 90 = 80
so 80 degrees
which best describes how to slove the equation below? 26x=74
Answer:
Step-by-step explanation:
Simplifying
26x = 74
Solving
26x = 74
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '26'.
x = 2.846153846
Simplifying
x = 2.846153846x
this is google respond
=74/26
x=37/13 this is mines mak me brainest plz
70 is 30% of what number?
Answer: 233.33.
Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.
Answer:
Step-by-step explanation:
233.33
Hope this helps =)
For the situation described.
a) Write an equation in the form y = mx + b.
b) Then, solve the problem.
"A water tank holds 24,000 gallons. How many days will it take for all of the water to
be used if the water is used at an average rate of 650 gallons per day? (round to the
nearest whole number)"
a) y =
X +
b)
days
Answer:
a) y=650x+0
b) 24,000=650x
24,000/650=x
x=37
I hope this is good enough:
if you can you don't have to put the +0 its just to fill it all out
11. A large pine tree was struck by lightning and fell as
shown by the diagram below. Which equation
could be used to find the length of the fallen part of
the tree?
8 ft
13 ft —
A. 82 +132 - X
B. N82+132 -
C. 132 - 82 = X
D. V132 - 82 - *
It forms a right triangle.
To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2
This can be rewritten as x = sqrt(a^2 + b^2)
Using the dimensions of the tree the answer would be :
B. x = sqrt(8^2 + 13^2)
The equation to find the length of the fallen part of the tree is
[tex]x=\sqrt{8^2+13^2}[/tex]
Right Triangle.
Right triangles is a triangle with one angle is 90 degree.
The side opposite to 90 degree is the hypotenuse.
Pythagorean Theoremthe sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .
The length of the fallen part of the tree is the hypotenuse
Hypotenuse is 'x'
Base of the triangle is 13 feet and height is 8 ft
Apply Pythagorean theorem to find out the hypotenuse 'x'
[tex]hypotenuse^2= base^2 + height ^2\\x^2=\sqrt{13^2+8^2} \\x=\sqrt{13^2+8^2}[/tex]
the equation to find the length of the fallen part is
[tex]x=\sqrt{8^2+13^2}[/tex]
Learn more information about 'Pythagorean theorem ' here
brainly.com/question/22605943
Factor this expression into primes.
22x
The factors of expression into prime numbers is 2 and 11.
We are given that;
The expression= 22x
Now,
Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
To factor an expression into primes, we need to find the prime factors of each term and then write the expression as a product of those factors.
For example, 22x can be written as:
[tex]$22x = 2 \times 11 \times x$[/tex]
The prime factors of 22 are 2 and 11, and x is already a prime factor.
Therefore, by factorization answer will be 2 and 11.
Learn more about factorization here:
https://brainly.com/question/10454590
#SPJ4
Solve as y=mx+b
Write an equation of the line below.
Answer:
y = 2x
Step-by-step explanation:
Since the line passes through the origin or (0,0), adding + 0 is irrelevant so we are just looking for slope.
Since there is a rise of 2 units every one unit, the slope or m = 2.
Since we know two points by observing the graph (0,0) and (3,6). m = y2-y1/x2-x1 = 6-0/3-0 = 6/3 = 2/1 = 2
Factor completely x3 – 3x2 - 9x + 27
Answer:
x³ - 3x² - 9x + 27
= x²(x - 3) - 9(x - 3)
= (x² - 9)(x - 3)
= (x -3)(x + 3)(x - 3)
= (x + 3)(x - 3)²
Step-by-step explanation:
20% of the total candy in a basket is Reese's chocolate. There are 8 Reese's in the basket. What is the total number of pieces of candy in the basket?
Answer:
I believe it is 40. I'm not 100% sure though
Step-by-step explanation:
If 20% of the candy is reese's and there are 8 reese's in the basket, to find the answer you must multiply 8 by 5. You multiply 8 by 5 because to get 100% you have to multiply 20% by 5 to get 100%.
Please help me with this, i just need to solve "b". Ty!
Answer:
15
Step-by-step explanation:
To find the rate of change, find the slope
Slope= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{35-20}{2-1}\\\\=\frac{15}{1}\\\\=15[/tex]
perpendicular to the line y = x - 4 passing through (- 1, - 2)
Answer:
Y= -x-3
Step-by-step explanation:
10
8
7
6
5
4
3
2
1
х
0 1 2
3
4
5
6
7
8
9
10
What is the slope?
Answer:
d
Step-by-step explanation:
d trust
Write 0.25x+1y=12 in slope-intercept form.
Answer:
y = -.25x + 12
Step-by-step explanation:
Subtract x on both sides.
y = -.25x + 12
There is your answer. The "1" before the y doesn't need to be written, as a rule in algebra, ones do need to be written and are assumed to be there if there is no number at all.
-.25 is the slope and 12 is the y-intercept.
Ming wrote the table of points below.
x
y
5
10
10
20
15
30
Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the origin.
Answer:
I am 99.99% sure it is the first one
10
Tim has $7.14 to spend on candy that costs $3 per pound.
Moby has $6.96 to spend on candy that costs $2.90 per
pound. Which of the following is true?
Answer:
Step-by-step explanation:
Tim has $7.14 to spend on candy that costs $3 per pound. Moby has $6.96 to spend on candy that costs $2.90 per pound. Which of the following is true?
A) Tim can't buy more than two pounds of candy
B) Moby can buy more candy than Tim
C) Tim can afford more candy than Moby
D) They can buy the exact same amount of candy
Correct Answer: Moby can buy more candy than Tim