Answer:
x ≈ 370
Step-by-step explanation:
You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.
Answer:
Step-by-step explanation:
Let amount now be x , meaning principal is x
and the amount later A is 2x
A = P(1+r/n)^nt
n = 12
2x = x (1 + 0.06/12)^12t
divide through by x
2 = (1+ 0.005)^12t
2 = (1.005)^12t
Take log of both sides
log 2 = 12t log 1.005
12t = log2/log 1.005
12t = 138.975721610697
t = 138.975721610697/12
t = 11.58
t = 12 years
Seventeen more than the product of a number and -3 is less than -29 plz answer
Answer:
-3x + 17 < -29
Step-by-step explanation:
can someone help me plzzzzzzzzzzzzzzzzzzzzzzzzz it's for 10 poits
Answer:
Step-by-step explanation:
3^2 + 4^2 = 5 ^2
in right triangle. c is always the longest
Answer:
[tex]3^{2} +4^{2}+ 5^{2}[/tex]
Step-by-step explanation:
find the sum of the first 15 terms of the goemetric series 3+9+27
Answer:
Step-by-step explanation:
hello : here is an solution
Suppose that 15 years ago, a benefactor set up an account for your education. This benefactor made a single deposit of $20,000 that has been earning 6% interest compounded monthly. Since the deposit 15 years ago, no money has been added to or taken from the account. Will this account be sufficient to cover tuition for all four years that you will be in school? (Answer this question using the school that you chose for parts C and D and the formula given below.) Make sure that the "time in years" that you use is 15 years + the number of years you will be at school.
Answer:
No it wont
Step-by-step explanation:
At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken tacos. Of the customers that order fajitas, 30% order chicken fajitas. What is the percentage of customers that order a chicken dinner (either chicken tacos or chicken fajitas)?
Answer:
38% order a chicken dinner
Step-by-step explanation:
40% order tacos. 50% of 40% order chicken tacos. 50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.
60% order fajitas. 30% of 60% order chicken fajitas. 30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.
20% + 18% = 38% order a chicken dinner.
ZA=
Round your answer to the nearest hundredth.
A
3
С
?
8
B
To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.
cos(a) = 3/8
a = cos^-1(3/8)
a = 67.98 degrees
Hope this helps! :)
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
[tex]-16t^{2} + 72t + 100 = 0[/tex]
Multiplying by (-1)
[tex]16t^{2} - 72t - 100 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]16t^{2} - 72t - 100 = 0[/tex]
So
[tex]a = 16, b = -72, c = -100[/tex]
[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]
[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]
[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
Farid uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he
make with 1 pint of lemon juice?
batches
Answer:
He can make 2 batches of lemonade with 1 pint of lemon juice.
Step-by-step explanation:
First convert 1 pint to ounces
1 pint of lemon juice = 16 fluid ounces
To get the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;
Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice
8 fluid ounces = 1 batch
16 fluid ounces = x
cross-multiply
8x = 16
Divide both-side of the equation by 8
8x/8 = 16/8
x= 2 batches.
Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.
He can make 2 batches of lemonade with 1 pint of lemon juice.
Given that,
Farid uses 8 fluid ounces of lemon juice in one batch of lemonade.
We have to determine,
How many batches can he make with 1 pint of lemon juice?
According to the question,
First, convert 1 pint to ounces
1 pint of lemon juice = 16 fluid ounces
To find the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, the equation can be simplified by using proportion;
Let, x be the number of batches Farid can make with 1 pint (16 fluid ounces) of lemon juice.
8 fluid ounces = 1 batch
16 fluid ounces = x batch
Solving the equation by cross multiplication,
[tex]\dfrac{8}{16} = \dfrac{1}{x}\\\\8x = 16\\\\x = \dfrac{16}{8}\\\\x = 2[/tex]
Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.
To know more about Multiplication click the link given below.
https://brainly.com/question/19005097
The property taxes on a home varies directly with the value of the home. Jack currently lives in a home worth $172,000 and pays $13,760 in taxes.
please help me simplify 4^8/4^5
Answer:
64
Step-by-step explanation:
64
Hope it helped!
Answer:
64
Step-by-step explanation:
4^8/4^5
we know that
4^8 = 65536
4^5 = 1024
Now,
65536/1024 = 64
Find sin(a) in the triangle. Any help will be appreciated thank you
Please help, and thanks in advance!
Answer:
c i believe sorry if its wrong
Step-by-step explanation:
Answer:
3. A.
4. 136
Step-by-step explanation:
3. Find the surface area:
2 * 1 = 2
3 * 2.2 = 6.6
2 * 3 = 6
3 * 1 = 3
2 + 6.6 + 6 + 3 = 17.6
4. Find the surface area:
5 * 7 * 2 = 70
6 * 4 = 24
7 * 6 = 42
70 + 24 + 42 = 136
write an equation that represents the points (2,6)(0,3) but a linear kind of an equation in any form
Answer:
y=[tex]\frac{3}{2} x+3[/tex]
Step-by-step explanation:
b) Write 25 x 10° in standard form.
Answer:
2.5x10^1
Step-by-step explanation:
When the first number goes down, add one to the 10's power
Answer:
2.5x10∧1
Step-by-step explanation:
Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm
Answer:
27cm
Step-by-step explanation:
so you are dumb for not nowing it
PLSSS HELP!! WILL GIVE BRAINLIEST!
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = [tex]2 \frac{11}{12}[/tex] gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
WILL MARK BRAINIEST!!!
What is the solution to the system of equations?
(−1, 3)
(1, −3)
(1, 3)
(−1, −3)
Answer:
(1,-3)
Step-by-step explanation:
Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
An = ?
Answer:
The explicit formula is Tn = 34 + 3n
Step-by-step explanation:
The nth term of an arithmetic sequence can be represented using the formula
Tn = a + (n-1)d
where a is the first term , n is the number of terms and d is the common difference
For the 12 term(a12), n = 12
70 = a + (12-1)d
70 = a + 11d •••••••(i)
For the 30th term, n = 30
124 = a + (30-1)d
124 = a + 29d •••••••(ii)
Now, directly subtract equation i from ii, we have;
124-70 = (a-a) + (29d-11d)
54 = 18d
d = 54/18
d = 3
To get a , we substitute the value of d in any of the equations
let’s use the first
70 = a + 11d
substituting d = 3
70 = a + 11(3)
70 = a + 33
a = 70-33
a = 37
Thus the explicit formula for the nth term will be
Tn = a + (n-1)d
where a = 37 and d = 3
Tn = 37 + (n-1)3
Tn = 37 + 3n -3
Tn = 34 + 3n
Which steps would be used to solve this equation?
StartFraction t Over 3 EndFraction = 2.78
Check all that apply.
Multiply by 3 on both sides of the equation.
Divide by 3 on both sides of the equation.
2.78 ÷ 3 = 0.93, so t = 0.93.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Substitute 0.93 for t to check the solution.
Answer:
Multiply by 3 on both sides of the equation.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Step-by-step explanation:
To solve the equation [tex]\frac{t}{3}[/tex]= 2.78
we will use the steps below to solve this equation;
First, multiply by 3 on both-side of the equation. That is;
[tex]\frac{t}{3}[/tex] × 3= 2.78 × 3
On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34
t = 8.34
we can further substitute 8.34 for t to check the correctness of the solution
that is;
[tex]\frac{8.34}{3}[/tex] = 2.78
Answer:
1,4,5
is the answer your welcomeA day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
P(Monday)
P(starts with 5)
P(Monday or starts with )
Answer:
Well, P(Monday)= 1/7 = 14.3%
P(starts with S)= 2/7 = 28.6%
P(Monday or starts with S)= 3/7 = 42.9%
Step-by-step explanation:
Have a good day!!!
The probability of choosing Monday is,
P = 1 / 7
And, the probability of choosing starts with S is,
P = 2/7
And, the probability of choosing Monday or starts with S is,
P = 3/7
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A day of the week is randomly chosen.
Since, Number of days in a week = 7
Hence, the probability of choosing Monday is,
P = 1 / 7
And, the probability of choosing starts with S is,
P = 2/7
So, the probability of choosing Monday or starts with S is,
P = 2/7 + 1/7
P = 3/7
Learn more about the probability visit:
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#SPJ5
0.3 repeating as a fraction
Answer:
3/10 or three-tenths
Step-by-step explanation:
Hope this helps=D
Answer:
O.3 = 1/3
Step-by-step explanation:
divide 1÷3
you will get 0.3 to infinity
A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14
Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.
[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]
where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:
[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]
Therefore, the volume of the pipe is 649.98 cubic inches.
(-3 x 10 to the 4th power) x (2 x 10 to the power of -3) RESPOND QUICK PLEASE
Answer:
-60
Step-by-step explanation:
(-3 x [tex]10^{4}[/tex]) x (2 x [tex]10^{-3}[/tex])
(-30,000) x (.002) = -60
find the x value
x^2 - 3x + 2 = 0
Answer:
2 and 1
Step-by-step explanation:
x^2 - 3x + 2 = 0
(x-2)(x-1) = 0
the x can be 2 and 1
Answer:
x=2 and x=1
Step-by-step explanation:
x^2 - 3x + 2 = 0
(x-2)(x-1) = 0
(x-2)=0
x=2
(x-1) = 0
x=1
so values are x=2 and x=1
Hope this helps ...Pls Mark me as Brainliest!!
[8 + (24 x 3)] divided by 7
Use PEMDAS &’ show work .
Answer:
11.43
Step-by-step explanation:
[8 + (24 x 3)] divided by 7
[8 + (72)] divided by 7
80/7
11.42857142857143
11.43 (I rounded it)
Answer:
11.42
My explanation:
P( )
E *
M x
D /
A +
S -
the first step is to multiply 24x3 because parenthesses go first
the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines
third step is to divide by 7 and then you get 11.42
Feel free to ask for more help :)
Can someone please help with these 4 questions?
Answer:
Q4. 2144 Q5. -16 Q6. Downwards Q7. 0 seconds
Step-by-step explanation:
Q4. h(t) = -16t² + 2400 Substitute 4 for t
h(4) = -16(4)² + 2400 Simplify the exponent
h(4) = -16(16) + 2400 Multiply
h(4) = -256 + 2400 Add
h(4) = 2144
Q5. I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.
Q6. At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.
Q7. 0 seconds because the rocket goes 0 feet in 0 seconds.
If these answers are correct, please make me Brainliest!
The approximate volume in milliliters, m, for a volume of f fluid ounces is equal to 29.57 times the value of f. Which table represents this relationship?
A.
Liquid Volume
Fluid Ounces, f Milliliters, m
29.57 1
59.14 2
88.71 3
118.28 4
C.
Liquid Volume
Fluid Ounces, f Milliliters, m
0 29.57
1 59.14
2 88.71
3 118.28
B.
Liquid Volume
Fluid Ounces, f Milliliters, m
29.57 0
59.14 1
88.71 2
118.28 3
D.
Liquid Volume
Fluid Ounces, f Milliliters, m
1 29.57
2 59.14
3 88.71
4 118.28
Answer:
Step-by-step explanation:
B
Answer:
D
Step-by-step explanation:
I got a 100 on my exit ticket for that question
Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising budget, A, and inversely proportional with the price of each doll, P. When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold. Determine the number of dolls sold if the amount of advertising budget is increased to $144,000.
Answer:
25,600
Step-by-step explanation:
You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:
$54,000 → 9,600
$144,000 → x
[tex]x=\frac{144,000*9,600}{54,000}[/tex]
x=25,600
According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.
The number of dolls sold should be 25,600.
Given that,
When $54,000 was spent on advertising and the price of the doll is $90, then 9,600 units are sold.Based on the above information, the calculation is as follows:
[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]
= 25,600
Therefore we can conclude that The number of dolls sold should be 25,600.
Learn more: brainly.com/question/6201432
Need help pls have no idea how to this
Answer:
The local minimum point of f(x) is at the point (-2,-2)
Step-by-step explanation:
the minimum point is located on the very bottom of the parabola!
so its cut off but its (-2,-2)
sorry I didnt see the 6,-2
so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2
pls mark me brainliest
