1)
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &18 \end{cases} \\\\\\ I = (2000)(0.064)(18)\implies I=2304[/tex]
2)
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &30 \end{cases} \\\\\\ A=2000[1+(0.064)(30)]\implies A=2000(2.92)\implies A=5840[/tex]
Answer:
after 18 years : $477,685.19
after 30 years: $661,353.82
Step-by-step explanation:
interest formula: A=P(1+r/n)^nt
so...
2000(1+6.4/18)^18 = 477685.1913 rounds to $477,685.19
2000(1+6.4/30)^30 = 661353.8157 rounds to $661,353.82
Can any one help with y = 2x + 4
6x – 3y = -12 system by substitution I’m so confused??
I will give you 50points
Answer:
It's in the screenshot hope it helpsss
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
y = 2x + 4 Substitute this for y in the second equation
6x - 3y = -12
6x - 3(2x + 4) = - 12 Substitute this for y for 2x + 4
6x - 3(2x) -3(4) = - 12 Distributive property
6x - 6x - 12 = - 12
(6x - 6x) -12 = - 12 like terms together
0 - 12 = - 12 Simplify
-12 = -12 True equation so x is equal to any number and you have the same equation
Show that
[tex]\sqrt[3]{3}+\sqrt{2}\ \textgreater \ \sqrt[3]{9}\ \textgreater \ \sqrt[4]{13}[/tex]
[tex]\;[/tex]
[tex]\Large\textrm{Note}[/tex]
1. Use of calculator is not allowed.
2. Use of approximated value is not allowed.
Answer:
See belowStep-by-step explanation:
Use same power to compare the values
Prove the first part:
[tex]\sqrt[3]{3}+\sqrt{2} >\sqrt[3]{9}[/tex][tex]\sqrt[6]{3^2}+\sqrt[6]{2^3} >\sqrt[6]{9^2}[/tex][tex]\sqrt[6]{9}+\sqrt[6]{8} >\sqrt[6]{81}[/tex][tex]\sqrt[6]{9}+\sqrt[6]{8}> \sqrt[6]{8}+\sqrt[6]{8}=2\sqrt[6]{8}=\sqrt[6]{8*64} =\sqrt[6]{512} >\sqrt[6]{81}[/tex][tex]512 > 81[/tex]Prove the second part:
[tex]\sqrt[3]{9} >\sqrt[4]{13}[/tex][tex]\sqrt[12]{9^4} >\sqrt[12]{13^3}[/tex][tex]\sqrt[12]{6561} >\sqrt[12]{2197}[/tex][tex]6561 > 2197[/tex]Consider isosceles ΔXYZ.
Answer:
n = 3
XY = 39 ft
XZ = 39 ft
Step-by-step explanation:
If we rotate the triangle 90° to the right we can see that the congruent angles are now on the bottom, making it the "more commonly seen isosceles triangle" we know.
This means that the two legs will be congruent to each other, so we can set them equal and solve for n:
(9n + 12) = (15n - 6)
9n + 12 = 15n - 6
9n + 18 = 15n
18 = 6n
6n = 18
n = 3
Now we can plug this value of n (3) into one of the expressions to solve for the legs. Since they will be the same length we only need to do one, but I will do both to make sure my work is as correct as possible:
XY
9n + 12
9(3) + 12
27 + 12 = 39
XZ
15n - 6
15(3) - 6
45 - 6 = 39
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
100 POINTS HELP ASAP Linear Combination
Answer:
1) [tex]x=\dfrac12[/tex]
2) [tex]n = -3 \ \ \textsf{and} \ \ m = -4[/tex]
3) see below
4) A: 0 = 1
Step-by-step explanation:
Question 1
[tex]15-0.5(4x-2)+4x=17[/tex]
[tex]\implies 15-2x+1+4x=17[/tex]
[tex]\implies 2x+16=17[/tex]
[tex]\implies 2x=1[/tex]
[tex]\implies x=\dfrac12[/tex]
Question 2
[tex]\textsf{rearrange} \ n=m+1 :[/tex]
[tex]\implies -m=-n+1[/tex]
[tex]\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\[/tex]
[tex]\implies0=n+3[/tex]
[tex]\implies n=-3[/tex]
[tex]\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:[/tex]
[tex]\implies m=-3-1[/tex]
[tex]\implies m=-4[/tex]
Question 3
subtract the second equation from the first
divide both sides by -4
substitute found value for y into first equation
solve for x
Question 4
[tex]3j=k[/tex]
[tex]k=3j+1[/tex]
[tex]\textsf{rearrange} \ 3j=k :[/tex]
[tex]\implies -k=-3j[/tex]
[tex]\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:[/tex]
[tex]\implies 0=1[/tex]
Solution = A
ill give brainliest if correct pls help
Answer:
i do not now the answer for 1 question but the answer for 2 question is
1.24/3 =.41 and 13.75/15=.91 interest the first month.
Step-by-step explanation:
Please help w mathematics
Answer:
x = -5
x = 5
x = -3, 3 is the incorrect answer
How many hours do unicorns fly for 4 hours
Answer:
24 hours
Step-by-step explanation:
Answer:
4 hours sound good
A camera cost $276 before GST. Ravi bought the camera and paid an additional 7% GST of the price. How much did Ravi pay for the camera?
How do I answer this ?
Step-by-step explanation:
when a variable depends on the product or quotient of two or more variables, it is a joint variation like in our case here.
F (e.g. gravity) varies directly with the masses of 2 objects (like 2 planets) and varies inversely with the distance to or between these objects.
so, the gravity between 2 planets gets stronger the more mass the planets have, but gets weaker the more distance there is between them.
there is only one constant considered in a joint variation statement. in our case : k
450kg divided into the ratio of 7:2
Answer:
7:2
350:100
[tex] \frac{7}{9} \times 450kg = 350kg[/tex]
[tex] \frac{2}{9} \times 450g = 100kg[/tex]
c more than 5 as an algebraic expression??????
question: what is the graph of y= -x+2
Answer:
[A]
Step-by-step explanation:
convert mixed number 5/6 x 2 1/2
Answer:
2 and 1/12
Step-by-step explanation:
you need to take 2 1/2 and convert it to the common denominator of 6
so 1/2 * 3 = 3/6. and 2*6 = 12. add the 12 and 3 to get 15/6. which is equivalent to 2 1/2
so multiply 15/6 * 5/6 and get 75/36 to get or 2 and 3/36. reduce down to 2 and 1/12
PLEASE HELP!!
Directions: Circle the answer to each question. Colo the picture with the color assigned to the number of your answer choice. Please use the substitution method the solve (Please provide work as well.)
1)
2x + 1 = 6x -116x-2x = 1 + 114x = 12x = 3y = 2x + 1y = 2(3) + 1y = 72)
3x + 5 = 5x - 53x - 5x = -5-5-2x = -10x = 5y = 3x +5y = 3(5) + 5y = 203)
4x - 2 = x + 103x = 12x = 4y = 4x - 2y = 4(4)-2y = 144)
7x - 5 = 3x + 37x - 3x = 3 + 54x = 8x = 2y = 3x + 3y = 3(2)+3y = 95)
-2x + 4 = -3x + 5-2x + 3x = 5 - 4x = 1y = -2x + 4y = -2(1) +4y = 26)
-5x - 3 = 4x + 15-5x - 4x = 15 + 3-9x = 18x = -2y = 4x + 15y = 4(-2) + 15y = 77)
-x + 7 =2x-11-3x = -18x = 6y = -x + 7y = -6 + 7y = 18)
6x - 2 = -2x + 148x = 16x = 2y = 6x -2y = 6(2) - 2y = 10victor buys some six packs of soda for a party he buys 42 cans in all how many six packs of soda did victor buy?
Answer:
7
Step-by-step explanation:
42÷6=7
Pretty easy question in my opinion
5d/9 = 10 What does d equal? (Please explain)
Answer:
d=10
Step-by-step explanation:
first you divide 5d by 5 to cancel it self out and make it only d.
Then divide 10 by 5.
you should then get 2
Which ordered pair is the solution to the following system of equations? x + y = 7 2x + 3y = 10
Answer:
The solution for x + y = 7 & 2x + 3y = 10 is at (11,-4)
Answer: (11,-4)
Hope this helps!
The amount of money in a saving account increase from $250 to $270 what is the precent increase of the money in the savings account
Answer:
8%
Step-by-step explanation:
percent increase = [ (difference between initial value and final value) ÷ initial value] x 100
⇒ percent increase = [ (270 - 250) ÷ 250] x 100 = 8%
Answer:
12.5
Step-by-step explanation
270 - 250 = 20
250 divided by 20 = 12.5
So therefore the percentage in the increase is 12.5
What is the value of x?
Х
24
7
can someone explain how i can do the math for these problems? i want the answer but i also want to understand what to do.
Answer:
25
Explanation:
By Using Pythagoras Theorem,
h^2=p^2+b^2
or, x^2=(24)^2+7^2
or, x^2=576+49
or, x^2=625
or, x=√625
•°• x=25
if x=6 find the value of x+4. 3x. x/2 all as different answer please
Answer:
x+4=10 3x=18 and x/2=3
Step-by-step explanation:
x=6 substituting the value,
x+4
=6+4
=10
3x
=3×6
=18
x/2
=6/2
=3
Find the value of the variable.
A. 7
B. 3
C. 3.5
D. 1.5
Answer: 3.5
Step-by-step explanation:
It is an intersection of a tangent and a secant.
122=9(9+2a)
144=81+18a63= 18a3.5=a
Took test as well!
The numerical value of 'a' in the secant segment of the circle is 3.5.
What is the numerical value of 'a'?The secant-tangent power theorem states that "if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment."
It is expressed as:
( tangent segment )² = External part of the secant segment × Secant segment.
From the diagram:
tangent segment = 12 ft
The external part of the secant-segment = 9 ft
Secant segment = ( a + a + 9 ) = 2a + 9
To determine the value of 'a', we use the secant-tangent power theorem.
12² = 9 × ( 2a + 9 )
Solve for 'a':
144 = 18a + 81
144 - 81 = 18a
63 = 18a
a = 63/18
a = 3.5
Therefore, 'a' has a value of 3.5.
Option C) 3.5 is the correct answer.
Learn more about the secant tangent power theorem here: brainly.com/question/26407978
#SPJ2
PLEASE HELP GIVING BRAINLIEST
Answer:
seq 1 : 9 , 11, 13, 15, 17
seq 2: 5, 8, 11, 15, 18
seq 1: 20, 16, 12, 8, 4,
seq 2: 20, 17, 14, 11, 8,
seq 1: 1, 2, 5, 11, 23
seq 2: 40, 24, 16, 12, 10
Step-by-step explanation:
im not sure if the ordered pairs i had in mind are correct so im not listing them
Answer:
Attach are the sequences
Step-by-step explanation:
Hope this helps!
It is estimated that 52% of drivers text while driving. Part A: What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver? (5 points)
Answer:
Step-by-step explanation:
What is the solution set for 2n + 5 = 9, given the replacement set {0,1,2,3}?
n = 0
n = 1
n = 2
n = 3
Hey there!
2n + 5 = 9
SUBTRACT 5 to BOTH SIDES
2n + 5 - 5 = 9 - 5
CANCEL out: 5 - 5 because it gives you 0
KEEP: 9 - 5 because it help solve for the n-value
NEW EQUATION: 2n = 9 - 5
SIMPLIFY IT!
2n = 4
DIVIDE 2 to BOTH SIDES
2n/2 = 4/2
CANCEL out: 2/2 because it give you 1
KEEP: 4/2 because it give you the n-value
NEW EQUATION: n = 4/2
SIMPLIFY IT!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I WILL GIVE BRAINLIEST
Solve for m.
-3/7 equals 12
A. m= -28
B. m= -26
C. m= 26
D. m= 28
Hey there!
ASSUMING!
-3/7m = 12
IF SO!
DIVIDE -7/3 to BOTH SIDES
-7/3 * -3/7m = 12 * 7/3
CANCEL out: -7/3 * (-3/7) because it give you 1
KEEP: 12 * (-7/3) because it give you the m-value
NEW EQUATION: m = 12 * (-7/3)
SIMPLIFY IT!
m = -28
Therefore, your answer is: m = -28
(Option A)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is 100,000times
1 / 100,000 , using the standard method of multiplication?
see image below. please hurry!!
Answer:
A: 6/8 B: 1 2/8
Step-by-step explanation:
1) Count the number on spaces between the lines and then you get your denominator (bottom number of a fraction or in all)
2) Count to the line the letter is on and that will get your numerator (top number of a fraction or part of the denominator)
Note: I didn't know how to explain the numerator so...
If the total length of all the meteors were distributed equally between each meteor, how long would each one be?
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has no data points. The second tick mark is three eighths and has one data point. The third tick mark is four eighths and has no data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has one data point. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighth and has one data point. The tenth tick mark is one and three eighths and has one data point. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has one data point. The fourteenth tick mark is one and seven eighths and has no data points.
Question 2 options:
one and one thirty sixth inches
one and one thirty eighth inches
one and one fortieth inches
one and one forty second inches
Answer:
your answer is d i do beleive i hope i helped:) and also please mark me brainlest
Step-by-step explanation:
Answer:
D is wrong And so is A i just did the test
Step-by-step explanation:
I'm sure its either B or C
Guys I need help Problem solving
Question: If 5 men can reap a field in 9 days, how many days 15 men take to reap the field
Answer:
...................3
Answer:
It will take 3 days
Step-by-step explanation:
5x3=15
so 9/3=3
3 days
The area of a field is (56x2 + 108x + 36) m2. The width of the field is (14x + 6) m. What is the length?
Answer:
[tex]area = length \times width \\ length = \frac{area}{width } \\ length = \frac{(56 {x}^{2} + 108x + 36) {m}^{2} }{(14x + 6)m} \\ length = (4x + 6)m[/tex]