[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,3)
Equation Form:
x = 2, y = 3
Step-by-step explanation:
Danielle invests $50 a month in an annuity that earns 4% APR and is compounded monthly. What is the future value of Danielle's account in 3
years?
A. $1909.06
B. $2082.39
C. $2153.85
D. $1843.29
The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.
What is the future value of the account?The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 4%/12 n = number of years = 3 x 12 = 36$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06
To learn more about future value, please check: https://brainly.com/question/24108530
Which expression is equivalent to 113−−−√5?
Answer:
_
113 -✓5
Step-by-step explanation:
_
113-(-(-✓5))
_
=113-✓5 (decimal:110.763932)
The Hire Purchase priceola microwave
a deposit of $600 and equal monthly
installmentsof$4s. Howmany installmen,
Answer:
150
Step-by-step explanation:
$600/$4 =150
=150 installments
evaluate the expression when c=9 and d=4. 5c+d
Answer:
5(9)+4= 45+4.....= 49
Step-by-step explanation:
A bedroom door in the house has the same
dimensions as the front door, but the length is
30 inches rather than 36 inches. How much greater is
the volume of the front door than the bedroom door?
The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.
How to calculate the bedroom door?It should be noted that the volume of a door is simply gotten by multiplying the length by width.
Let's assume that the width is 20 inches. Therefore, the difference will be:
= (36 × 20) - (30 × 20)
= 720 - 600
= 120 inches³
Learn more about volume on:
https://brainly.com/question/12410983
Can you help me with this
Answer:
Step-by-step explanation:
For the zeros, c is shows the correct number of zeros -- 7.
But you should note that the answer ought to contain the correct number of sig digs. There are 3. 692 The 2 cannot be dropped. Still your answer is correct.
Please help me I AM BEGGING please
Answer:
218
Step-by-step explanation:
the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2
A^2 + 256 = 400
400 - 256 = 144
Square root of 144 is 12
Unknown side is 12
Find the area of the triangle:
16 x 12 = 192
192/2 = 96
The area is 96
Now find the area of the circle:
pi x the radius^2
The diameter is 20, so the radius is 10
Pi x 10^2 = 314
314 - 96 = 218
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?
A.$67.00
B.$58.50
C.$41.50
D.$33.00
Answer:
58.50
Step-by-step explanation:
C.$58.50
|| ▼ Answer ▼ ||
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
A teenager puts $50 into an investment account in January.
If by December the balance in the account increases by 17%,
what is the amount of money in the account in December?
Step 2:
In this case, we are going to use:
[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]
Here, Principal = $ [tex]50[/tex]
Rate = 17%
[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]
Then, we have that:
[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]
[tex]Amount=50~(~1+0.17~)^{1}[/tex]
[tex]Amount=50~(~1.17)[/tex]
[tex]Amount=[/tex] $ 58.50 (Option B)
CONCLUSION:
The amount of money in the account in December = $ 58. 50 ( OPTION B )
Hope this helps!
If you have any queries please ask.
3(1.07)^18 can you please help??
the answer should be 10.13979682
PLS HELP I WILL GIVE BRAINLESt TO THE PERSON WHO SOLVES ALL OF THE CORRECTLY
Answer:
m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)
4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2
Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime
The box-and-whisker plot below represents some data set. What is the minimum value of the data?
Answer:
minimum value is: the left whisker
Step-by-step explanation:
box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.
Hope this helps
What is the correct answer?
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]
[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]
12.76 cubic yards
help me w this question please
Answer:
2560000 or 2.56*10^6
Step-by-step explanation:
[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{16777216*15625}{4096*25}[/tex]
[tex]\frac{262144000000}{102400}[/tex]
[tex]2560000[/tex]
Find the distance between the pair of points.
(-2,-18) and (-8,-22)
Answer:
7.21 units
Step-by-step explanation:
hope this helps!
What is the area of the shape below?
Answer:
A = 192 units²
Step-by-step explanation:
the figure is a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height between the bases and b₁, b₂ are the bases
here h = 12 , b₁ = 12 , b₂ = 20 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²
What is the area of the following circle?
Answer:
49pi
Step-by-step explanation:
Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.
P.S: don't cheat in khan my man, that's dishonored
What is 2+2 I think it’s still 2 but I am not sure yet
Answer:
it actually equals 5
Step-by-step explanation:
the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.
Answer:
the correct answer is 4
Step-by-step explanation:
2 + 2 = 4
hope this helps
have an awesome day -TJ :)
What is 75% of 112?
(^u^)
Answer:
84
Step-by-step explanation:
asked siri
Answer:
84
Step-by-step explanation:
take the percentage and turn it into a decimal so 75 becomes .75
multiply the decimal by the number
.75 x 112 = 84
A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes
Answer:
525 degrees
Step-by-step explanation:
Mr. Nathan ordered a total of 24 roses in three different colors. 1/3 white 1/4
yellow, and the rest red. What is the number of red roses Mr. Nathan ordered? Enter your answer in the box.
Answer:
10 red
8 white
6 yellow
Step-by-step explanation:
1/3 of 24 is 8 white
1/4 of 24 is 6 yellow
8+6 is 14
24-14 is 10
there are 10 red
What is the image point of (5,-6)(5,−6) after the transformation r_{\text{y-axis}}\circ T_{-4,0}r
y-axis
∘T
−4,0
?
The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).
How to apply a rigid transformation in a point on a Cartesian plane
In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:
P'(x,y) = P(x,y) + T(x,y) (1)
Where:
P(x,y) - Original pointT(x,y) - Translation vectorP'(x,y) - Image pointIf we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:
P'(x,y) = (5, -6) + (-4, 0)
P'(x,y) = (1, -6)
The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]
Remark
Statement is incorrect and poorly formatted. Correct form is shown below:
What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?
To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
Pls help
20 brainly points
a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable
The cable and the mass forms a right triangle
The length of the cable is 260 meters
How to determine the length of the cables?The given parametes are:
Angle = 55 degrees
Height of the mass (h) = 213 meters
The length of the cable (l) is calculated using the following cosine ratio
cos(90 - θ) = h/l
Substitute known values
cos(90 - 55) = 213/l
cos(35) = 213/l
Make l the subject
l = 213/cos(35)
Evaluate the quotient
l = 260.024987406
Approximate
l = 260
Hence, the length of the cable is 260 meters
Read more about right triangles at:
https://brainly.com/question/2437195
HELP WILL MARK BRAINLIST AND 5 STARS
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
Which graph matches? I'll give brainliest. and 100pts
Function:
[tex]\sf 2\left(3\right)^{x}+2[/tex]
Find y-intercept:
[tex]y=2\left(3\right)^{0}+2[/tex]
[tex]y=\sf 4[/tex]
option B is correct as it cuts y-intercept at 4
Answer:
This is a positive exponential graph with a y-intercept of 4 (when x is 0, y is 4)
Hope this helps!
400/3*6 I don't know I don't have a calculator
Answer:
22 [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
400/3*6
400/18 = 22 [tex]\frac{2}{9\\}[/tex]
or 22.222 to the nearest thousandths.
Please help me with this please and thank you
Answer:
Alright so the answer is B but I'll explain why because im nice ig.
Step-by-step explanation:
So lets do some calcumalations.
We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.
So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.
3(4)^1-1 = 3(1); that's the answer
4^1-1 = 1, + 3 = 4 so that wont work either
I hope this helps ya have a great afternoon
676 x 122 - 45 + 69
Brainliest to whoever answers first
Answer:
82.358
Step-by-step explanation:
You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.
676 • 122 - 45 + 69
82,472 - 45 + 69
Then you add because A is next.
82,472 - 114
Then finish it
82,358
Your answer would be = 82,358
I hope it helps! Have a great day!
Muffin ^^
4,3,9/4,27/16
what is the 10th term of the sequence
Answer:
This is a sequence, so we have to move forward step by step
Step-by-step explanation:
4,3,9/4,27/16
Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]x = 4.4.4.4.4[/tex]
[tex]x = 4[/tex]
Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance
The answer is
[tex]x \times y = 144 = 614.88[/tex]
Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a side of 6 in.
Answer:
[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]
I am joyous to assist you at any time.