Answer:
12
Step-by-step explanation:
4/3y = 16
4y=48
y=12
Melanie is going to invest in an account paying an interest rate of 3.1% compounded
daily. How much would Melanie need to invest, to the nearest dollar, for the value of
the account to reach $11,900 in 14 years?
Using compound interest, it is found that Melanie would need to invest a value of $7,710.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In this problem, we have that:
Rate of 3.1%, hence [tex]r = 0.031[/tex].Compounded daily, hence [tex]n = 365[/tex].Value of $11,900 in 14 years, hence [tex]t = 14, A(t) = 11900[/tex].The amount she needs to invest is P.Hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]11900 = P\left(1 + \frac{0.031}{365}\right)^{365(14)}[/tex]
[tex]1.54339P = 11900[/tex]
[tex]P = \frac{11900}{1.54339}[/tex]
[tex]P = 7710[/tex]
Melanie would need to invest a value of $7,710.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
2x + 8 = 8x - 4
what is x?
Step-by-step explanation:
[tex]2x + 8 = 8x - 4 \\ 2x - 8x = - 8 - 4 \\ - 6x = - 12 \\ 6x = 12 \\ \\ x = {2} [/tex]
this is an OER i dont know if u know what this is but I have explain the answer and how I got it :))
Pls help due ASAP.....
Answer:
x = 5, ST = 45
Step-by-step explanation:
Given that m bisects SU, then
ST = TU , that is
9x = 4x + 25 ( subtract 4x from both sides )
5x = 25 ( divide both sides by 5 )
x = 5
Thus
ST = 9x = 9 × 5 = 45
Given the condition that you know a student has purchased at least one of the items. What is the probability as a percentage that they purchased only one of the items?
Step-by-step explanation:
This is a case of conditional probability, in which we have to find the probability of ocurance of event E when when event F has already ocured.
To find the probability of at least one of something, calculate the probability of none and then subtract that result from 1.
That is, P(at least one) = 1 – P(none)
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Answer:
x = 36
Step-by-step explanation:
The total angles of a triangle is 180 degrees
(2x - 17) + (x + 53) + x = 180
2x - 17 + x + 53 + x = 180
4x + 36 = 180
Subtract 36 from both sides;
4x = 144
Divide both sides by 4;
x = 36
If h(x)=3x-2\5 then h(-6)=
Answer:
What are you asking
Step-by-step explanation:
Answer:
h(-6) = -4
Step-by-step explanation:
just plug in -6 where you see "x" and you get
3(-6) -2 / 5 and you get
multiply
-18 -2 / 5
subtract
-20 / 5
your final answer is
h(-6) = -4
Which of the following are true about income taxes?
CHOOSE ALL THAT APPLY (select all of the answers that are correct)
Group of answer choices
Income tax is money the government adds to your paycheck when you have a job
Income tax is money the government takes from your paycheck when you have a job
You have to fill out a form and send the government income tax every month
The government automatically takes income tax out of your paycheck every month
Answer:
Income tax is money the government takes from your paycheck when you have a job
The government automatically takes income tax out of your paycheck every month
Can anyone help me answer these, or at least show me how to do one?
Answer:
Step-by-step explanation:
1) The function f(x) = x is a straight line rising to the right and passing through the origin at an angle of 45 degrees This means this it passes though the points ..... (-2, -2), (-1, -1), (1, 1), (2, 2) .......
If g(x) = f(x) + 4 then g(x) will be a straight line parallel to f(x) where each point on g(x) is 4 units vertically up from each point on f(x). Its a translation of f(x) up 4 units.
The slope of both graphs is 1.
2) This line (g)x passes through the origin but has slope 1/3.
Two apps on your phone take away points for using your phone at school. You have 140 points on the first app and 80 points on the second app when a school day begins. Each time you check your phone, you lose 10 points on your first app and $p$ points on your second app. After you check your phone ten times, you have the same number of points on each app. Find the value of $p$
Answer: p = 4
Step-by-step explanation:
For app one, you start with 140 points, and you lose 10 each time you check your phone.
Then, if you check your phone x times, you will have:
140 - x*10 points in total.
For app two, you start with 80 points, and you lose p points each time you check your phone.
Then, if you check your phone x times, you will have:
80 - x*p points left
We know that when x = 10, you have the same number of points in both apps, then we have the equation:
140 - (10)*10 = 80 - (10)*p
We can solve this for p
140 - 10*10 = 80 - 10*p
140 - 100 = 80 - 10*p
40 = 80 - 10*p
10*p = 80 - 40
10*p = 40
p = 40/10 = 4
which numbers are rational?
Please help me thanks please
Answer:
80 cubic units
Step-by-step explanation:
Volume of rectangular pyramid = ⅓*L*W*H
L = 8 units
W = 5 units
H = OP = 6 units
Plug in the values into the equation
Volume = ⅓*8*5*6
Volume = 80 cubic units
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
30=7r+5 what’s does r stand for
Answer:
An unknown variable
Step-by-step explanation:
r is an unknown variable -> the equation is used to solve for it.
Answer:
In math, r usually stands for radius.
Step-by-step explanation:
What number is equal to v1 100?
Х
5
?
Answer:
10
Step-by-step explanation:
[tex] \sqrt{100} = 10[/tex]
Hope it helps you in your learning process.
SIMPLE INTEREST
Interest = ?
Principal = $1450
Interest rate = 9%
Time = 5 years
652.50
Step-by-step explanation:
1450 x .09 x 5 = 652.50
In my garden I planted 1 2/3 rows of seeds. The crows came along and ate 1 1/5 of the seeds. How many rows are left?
Given:
Seeds planted = [tex]1\dfrac{2}{3}[/tex] rows
Crows ate = [tex]1\dfrac{1}{5}[/tex] rows
To find:
The remaining rows of seeds.
Solution:
According to the question,
Remaining rows of seeds = Seeds planted - Crows ate
[tex]=1\dfrac{2}{3}-1\dfrac{1}{5}[/tex]
[tex]=\dfrac{1(3)+2}{3}-\dfrac{1(5)+1}{5}[/tex]
[tex]=\dfrac{3+2}{3}-\dfrac{5+1}{5}[/tex]
[tex]=\dfrac{5}{3}-\dfrac{6}{5}[/tex]
Taking LCM, we get
[tex]=\dfrac{5(5)-3(6)}{15}[/tex]
[tex]=\dfrac{25-18}{15}[/tex]
[tex]=\dfrac{7}{15}[/tex]
Therefore, [tex]\dfrac{7}{15}[/tex] rows of seeds are left.
Question 1 Multiple Choice Worth 4 points)
(05.07) A square pyramid is shown. What is the surface area?
Answer: Your answer is 61.25cm hope this helps!
Could someone tell me the way to solve this in easy explanation pls x^2 + x (2) + (-8)
Step-by-step explanation:
It's a quadratic equation which simplifies to x²+2x-8
Now if you want to "solve" it then you must be a little more particular with your question because you can do many things with a quadratic equation, you can:
1. Factorise it
2. find the zeros
3. graph it
4. describe the nature of its roots,etc
but let me help you factorise it
x²+2x-8
x²+4x-2x-8
x(x+4)-2(x+4)
(x-2)(x+4)
The ratio of men to women in the astronomy club is 3 to 2. The club has
60 members. How many club members are women?
9 + 0 = 9 is an example of which property? A.Commutative property of addition B.Identity property of addition C.Multiplicative property of zero D.Identity property of multiplication
Jake has made a scale drawing of a sand pit he
plans to build. The pit is 3m by 5m.
His drawing to scale is 15cm by 25cm
What scale has he used?
Answer: The scale is 5cm/m (5 cm in the drawing are equivalent to 1 meter on the actual pit)
Step-by-step explanation:
When we have an original measure M, and we redraw it with a new scale, where the new measure is m, the scale used is equal to:
scale = m/M.
In this case, we know that:
The pit is 3m, by 5m
and the drawing to scale is 15cm by 25cm
(15cm is the rescaled version of the 3m side, and 25cm is the rescaled version of the 5m side)
Using the equation above, we can find that the scale is:
Scale = 15cm/3m = 5cm/m
and, if we use the other side, we get:
Scale = 25cm/5m = 5cm/m
Both calculations give the same scale, as expected.
Then the scale is 5cm/m, which means that 5 centimeters in the drawing are equivalent to one meter in the real pit.
1) 6=A/4+2 can someone help please
Answer:
A=16
Step-by-step explanation:
6=A/4+2
-2 -2
4=A/4
x4 x4
16=A
 Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
JL = 8 m
KD = 8 m
Step-by-step explanation:
By 45° - 45° - 90° triangle theorem:
[tex]JK = \frac{1}{ \sqrt{2} } JD \\ \\JK = \frac{1}{ \sqrt{2} } \times 8 \sqrt{2} \\ \\ \red{JK = \boxed{8 }}\: m \\ \\ KD= \frac{1}{ \sqrt{2} } JD \\ \\KD = \frac{1}{ \sqrt{2} } \times 8 \sqrt{2} \\ \\ \purple{ KD = \boxed{8 } }\:m\\ \\[/tex]
Answer Fast To add 3/10+1/4+4/5, you must rewrite each fraction as an equivalent fraction with a denominator of 20. What are the equivalent fractions? Enter your answers in the boxes. 3/10= ?/20 1/4=?/20
Answer:
Equivalent fractions
3/10 = 6/20
1/4 = 5/20
4/5 = 16/20
Step-by-step explanation:
For
3/10
We Multiply numerator and Denominator by 2
= 3×2/10 × 2
= 6/20
For 1/4
We Multiply numerator and Denominator by 5
= 1×5/4× 5
= 5/20
For 4/5
We Multiply numerator and Denominator by 4
= 4×4/5× 4
4/5 = 16/20
Can someone help me with this question plz
Answer:
(2t² + 4t + 7) / (4t + 1)(t + 2)Step-by-step explanation:
7/(8t + 2) + t/(2t + 4) =7/2(4t + 1) + t/2(t + 2) =(7(t + 2) + t(4t + 1)) / 2(4t + 1)(t + 2) =(7t + 14 + 4t² + t)/ 2(4t + 1)(t + 2) =(4t² + 8t + 14) / 2(4t + 1)(t + 2) =2(2t² + 4t + 7) / 2(4t + 1)(t + 2) =(2t² + 4t + 7) / (4t + 1)(t + 2)Which expression is used to represent “the product of 3/4 and c”
Highlight your answer
Answer:A
Step-by-step explanation:Product means to multiply and A is showing 3/4 is multiplying C.
(1,3) (4,12) Find the rate of change?
Answer:
times 4 or multiply by 4each time
Which of the following ordered pairs are solutions to the system of equations below? y = 2x + 1 and y = 4x – 3 (1,4) (4,5) (2,5) (3,7)
Step-by-step explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
Putting eqaution (ii) in eqaution (i), we get;
4x - 3 = 2x + 1
~ Keep like terms on same side.
4x - 2x = 1+3
~ Perform operations. ( +, -, *, /)
2x = 4
x= 4/2
Therefore, X= 2.
Putting the value of X in eqaution (i)
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
Hope it helps...
Which of the following ordered pairs are solutions to the system of equations below? y = 2x + 1 and y = 4x – 3 (1,4) (4,5) (2,5) (3,7)
Step-by-step explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
Putting eqaution (ii) in eqaution (i), we get;
4x - 3 = 2x + 1
~ Keep like terms on same side.
4x - 2x = 1+3
~ Perform operations. ( +, -, *, /)
2x = 4
x= 4/2
Therefore, X= 2.
Putting the value of X in eqaution (i)
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
Hope it helps...
HURRY
Find the indicated function values
1y
8
4
f(-4) =
f(0) =
f(1) = 1
-4
-2
2
-4
-8.
Answer:
6 -6 -4
Step-by-step explanation: