Answer:
B
Step-by-step explanation:
Given the 2 equations
y = 2x + 6 → (1)
y = x + 2 → (2)
Substitute y = 2x + 6 into (2)
2x + 6 = x + 2 ( subtract x from both sides )
x + 6 = 2 ( subtract 6 from both sides )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 4 + 2 = - 2
solution is (- 4, - 2 ) → B
The principal amount, $4200, earns 3.6% interest compounded monthly.
a. Write the function that represents the value of the account at any time, t.
b. What will the value be after 10 years?
Answer:
a)
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
P represents the principal amount
r represents Annual Rate
n represents the number of compounding periods per unit t, at the end of each period
t represents the time Involve
b) What will the value be after 10 years?
Given
The principal amount P = $4200
Annual Rate r = 3.6% = 3.6/100 = 0.036
Compounded monthly = n = 12
Time Period = t
To Determine:
The total amount A = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}[/tex]
[tex]\:A\:=\:4200\left(1.0025\right)^{120}[/tex]
[tex]A=5667.28[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
(a) A tall tree of height 60m is broken due to the strong wind. If the upper 40m
broken part of the tree touches the level ground, calculate the angle made by the
broken part with the horizontal line. Also calculate the horizontal distance
between the bottom of the tree and the point at which the broken part of the
tree touches the ground level.
Answer:
The angle is 30° and the horizontal line is 23.094 m.
Step-by-step explanation:
The angle (x):
[tex] \sin(x) = 20 \div 40[/tex]
[tex] \sin(x) = 0.5[/tex]
[tex]x = { \sin }^{ - 1} (0.5)[/tex]
[tex]x = 30[/tex]
The horizontal line (y):
[tex] \cos(30) = 20 \div y[/tex]
[tex]y \cos(30) = 20[/tex]
[tex]y = 20 \div \cos(30) [/tex]
[tex]y = 23.094[/tex]
Due in 30 minutes. Help please!
Answer:
1st one
Step-by-step explanation:
jeushrueussboshfndksd
Answer:
I am pretty sure its the very last one.
Step-by-step explanation:
Please check the attached screenshot! its deltamath! i need it asap! Im in algebra 2.
Answer:
Step-by-step explanation:
B is the answer
Ok so basically I gonna learn something that is abt point so kk?? Alr so basically if you want people to answer u question mostly the new put at least 15 or more points invested caused u shoulda grinded with meme was and trolling kids for points and that exactly why im saying because I want points and so do other people because I put a question with 5 points, waited an hour nobody respond, then 50 and everyone was refreshing my profile like crazy they said (on my banned acc) saying OMG NOO I WAS SO CLOSE PLS DO ANOTHER and others like OMG NO WAY FREE POINTS THIS ALMOST NEVER HAPPENS And more stuff so yeah no hate no offense no hate no offense no hate no offense no offense no offense no offense but I need more point and and so do other people that try to ask questions And answer, pls be nice and give to people that struggling ok if not, ur a greedy noob.
Together Cam and Brian had 24 pair of jeans. Cam had 4 less the Brian. Which inequality of equation could be used to find the number of jeans that Brian had?
Answer:
Brian had 4 jeans
Step-by-step explanation:
Together Cam and Brian had 24 pair of jeans. Cam had 4 less the Brian. Which inequality of equation could be used to find the number of jeans that Brian had?
Let the number of jeans
Cam had = x
Brian had = y
Hence: x + y= 24 Jeans
Cam had 4 less the Brian.
= x = y - 4
Hence:
x > y
The number of jeans Brian had is calculated as:
x + y= 24
y - 4 + y= 24
2y = 24+ 4
2y = 28
y = 28/2
y = 14 jeans
Which is not a solution of the inequality to -8x < 32
A.−1/2
B.1
C.0
D.−4
A snail can move about 10 meters in 1000 seconds. How many seconds does it take the snail to move 1 meter
Answer:
100 seconds my dude
Step-by-step explanation:
...............
Answer:
100
Step-by-step explanation:
which angle relationship would you use to
prove that x = 20
Answer:
Supplementary Angles add up to 180°
Step-by-step explanation:
(2x + 5) + (8x - 25) = 180
10x -20 = 180
10x = 200
x = 20
Simplify the following expression.
6m-54 divided by 9-m
Answer:
− 6
Step-by-step explanation:
PLEASE HELP!
ROAD SIGNS Roadway signs such as the one shown are used to warn drivers of an upcoming steep down grade. What is the grade, or slope, of the hill described on the sign?
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
8% = 0.08 = [tex]\frac{2}{25}[/tex]
If temperature is 4 degrees and falls by 6 degrees, what is the new temperature?
Answer:
-2 degrees
Step-by-step explanation:
4-6=-2
so its -2 degrees.
Hope this helps :D
Answer:
-2
Step-by-step explanation:
If they temperature falling is greater than the present temperature, you will have to go into negatives. 4 - 4 = 0 - (remainder 2) is -2.
need help asap please
The angle BCD = 120°
Further explanationGiven
A parallelogram and four angles
Required
Angle BCD
Solution
In A parallelogram
The sum of the four angles is 360°
Opposite angles are equal /congruent(A=C, B=D)
Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).
We choose a solution by using
Consecutive angles :
∠C+∠B=180°
18x=180°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Or we can use another ways :
The sum of the four angles is 360°
∠A+∠B+∠C+∠D=360°
12x+6x+12x+6x=360°
36x=360°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Which value of y is a solution of this inequality?
3y−4<11
y = 7
y = 5
y = 4
y = 6
For each line, determine whether the slope is positive, negative, zero, or undefined.
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all.
Let x represent the cost of each tube of paint. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Each tube of paint cost less than $
.
Step-by-step explanation:
total number of tubes=4
total spent=<$20
4(x)<$20
x<$20/4
x<$5
The inequality represented is 4x < 20 and the cost of one tube will be less than $5.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given,
The cost of one tube = x
Cost of 4 tubes = 4x
Cost < $20
4x < 20
x < $5
Hence "The inequality represented is 4x < 20 and the cost of one tube will be less than $5.".
For more about inequality,
brainly.com/question/20383699
#SPJ2
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Answer:q
Step-by-step explanation:
If p : q = 1/3 : 2 and p : r = 3/4 : 1/2,
calculate the ratio
p:q:r
Giving your answer in its simplest form.
Answer:
p : q : r = 2 : 12 : 3
Step-by-step explanation:
p : q = 1/3 : 2
p : q = 1/3 ÷ 2
p : q = 1/3 × 1/2
p : q = 1/6
p : q = 1:6 -----------(a)
p : r = 1/2 : 3/4
p : r = 1/2 : 3/4
p : r = 1/2 × 4/3
p : r = 2/3
p : r = 2 : 3 -----------(b)
For p in equation (a) to be the same as equation (b) so, multiply equation (a) by 2 and multiply equation (b) by 1
p : q = 1 × 2 : 6 × 2
p : q = 2 : 12
p : r = 2 × 1 : 3 × 1
p : r = 2 : 3
p = 2 : , q = 12 , r = 3
Hope it help
p : q : r = 2 : 12 : 3
An item is regularly priced at $20. It is on sale for 35% off the regular price. What is the sale price?
Answer:
The sale price is $7.00
Step-by-step explanation:
Henry made himself a sandwich that was StartFraction 11 Over 12 EndFraction of a foot long. He put pepperoni on Three-fourths of his sandwich. What length of the sandwich did not have pepperoni on it?
Answer:
[tex]\bold{\dfrac{11}{48}\ ft}[/tex]
Step-by-step explanation:
Given that:
Length of sandwich = [tex]\frac{11}{12}[/tex] of a foot = [tex]\frac{11}{12}[/tex] ft
Portion of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] of the total length of sandwich
Portion of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] [tex]\times \frac{11}{12}[/tex] ft
To find:
The length of sandwich which does not have the pepperoni on it?
Solution:
First of all, let us find the length which has the pepperoni on it.
Length of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] [tex]\times \frac{11}{12}[/tex] ft = [tex]\frac{33}{48}[/tex] ft
Length of sandwich on which there is no pepperoni can be found by subtracting the length on which there is pepperoni from the total length of sandwich.
Therefore, the answer is:
[tex]\dfrac{11}{12} - \dfrac{33}{48} = \dfrac{44-33}{48} = \bold{\dfrac{11}{48}\ ft}[/tex]
Answer:
11/48
Step-by-step explanation:
i did this in 6th grade 6 years ago
Hey I'm doing a map test who know the answer
Answer:
the answer is 60 ( 22+8+8+12+5+5
Make D the subject of S =D/T
Step-by-step explanation:
S = D/T
D = ST
S comes first in the English Alphabet so it is ST
Answer:
D=ST
Step-by-step explanation:
..........D=ST...
Can you answer this?
27
5
Y=5x+27
Here ya go
2- y + 6 + 4y + 4 + 7y
Answer:
10y+12, if your simplifying but if your looking for the factor its 2(5y+6)
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
Add the common variables, -y, 4y, and 7y, to get 10y. Then add the regular numbers 2, 6, 4, to get 12. I think youre trying to get y so it would be 1.2 (Sorry if its wrong)
OPEN ENDED QUESTION -6(7)
Answer:
-42
Step-by-step explanation:
reason: because on the left we have negative six and on the right we have positive 7, so what is the equation? well it would be -6 x 7 because if a number is in these () it means you multiply
Find the value of x
17x - 18
7x
Consider the given equation is [tex]17x-18=7x[/tex].
Given:
[tex]17x-18=7x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]17x-18=7x[/tex]
Adding 18 on both sides.
[tex]17x=7x+18[/tex]
Subtracting 7x from both sides.
[tex]17x-7x=7x+18-7x[/tex]
[tex]10x=18[/tex]
Divide both sides by 10.
[tex]x=\dfrac{18}{10}[/tex]
[tex]x=1.8[/tex]
Therefore, the value of x is 1.8.
11)
0.00921
000920d
6 861125
D D 이
86000
A 56000 0 2
Answer:1a
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = √47
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We have a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 5
Leg b = x
Hypotenuse c = √72
Step 3: Solve for x
Substitute [PT]: 5² + x² = (√72)²Exponents: 25 + x² = 72Isolate x term: x² = 47Isolate x: x = √47Maya flipped a coin 50 times. How many times should she expect the coin to land on tails?
Answer: It's a 50% chance (25 times)
Reason: It's Statically proven that if there are two things you are comparing, and are trying to flip (Like a coin) There's a fifty percent chance of flipping to that side. Thus having this information, you will land on tails 25 times statically.
I hope this helps, and Happy Holidays! :)
What is the product?
3 6 1
2
24 OX|0
0 6 2
1
Answer:
[7]
[4]
[2]
Step-by-step explanation:
The first matrices has 3 rows and 3 columns.
The second matrices has 3 rows and 1 column.
Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.
Solve:
[3 * 2 + 6 * 0 + 1 * 1] [7]
[2 * 2 + 0 * 0 + 0 * 1] = [4]
[0 * 2 + 6 * 0 + 2 * 1] [2]
Select the correct answer from each drop-down menu.
Consider this system of equations.
The points representing the solution set of this system of equations are
and
.
Answer:
(-2, -1) and (3, 14)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=x^2+2x-1\\y-3x=5&\text{add}\ 3x\ \text{to both sides}\end{array}\right\\\left\{\begin{array}{ccc}y=x^2+2x-1&(1)\\y=3x+5&(2)\end{array}\right[/tex]
Substitute (1) to (2):
[tex]x^2+2x-1=3x+5\qquad|\text{subtract}\ 3x\ \text{and 5 from both sides}\\\\x^2-x-6=0\\\\x^2+2x-3x-6=\\\\x(x+2)-3(x+2)=0\\\\(x+2)(x-3)=0\iff x+2=0\ \vee\ x-3=0\\\\x=-2\ \vee\ x=3[/tex]
Substitute the values of x to the (2):
[tex]\text{for}\ x=-2\\\\y=3(-2)+5=-6+5=-1\\\\\text{for}\ x=3\\\\y=3(3)+5=9+5=14[/tex]