Answer:
Step-by-step explanation:
24
Which fraction below represents a repeating decimal?
Answer:
22/12
Step-by-step explanation:
please help me with this question
Answer:
19
Step-by-step explanation:
you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19
Carter invested $540 in an account paying an interest rate of 4. 875 % compounded monthly. Jack invested $540 in an account paying an interest rate of 5. 5% compounded continuously. To the nearest hundredth of a year, how much longer would it take for Carter's money to triple than for Jack's money to triple?
Using compound interest and continuous compounding, it is found that it would take 2.61 years longer for Carter's money to triple.
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 which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For Carter, we have that the rate of interest and the number of compoundings are, respectively, r = 0.04875 and n = 12. The time to triple is t for which A(t) = 3P, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]3P = P\left(1 + \frac{0.04875}{12}\right)^{12t}[/tex]
[tex](1.0040625)^{12t} = 3[/tex]
[tex]\log{(1.0040625)^{12t}} = \log{3}[/tex]
[tex]12t\log{(1.0040625)} = \log{3}[/tex]
[tex]t = \frac{\log{3}}{12\log{(1.0040625)}}[/tex]
t = 22.58.
What is continuous compounding?The amount of money is given by:
[tex]A(t) = Pe^{kt}[/tex]
For Jack, we have that the rate of interest is of k = 0.055, hence:
[tex]A(t) = Pe^{kt}[/tex]
[tex]3P = Pe^{0.055t}[/tex]
[tex]e^{0.055t} = 3[/tex]
[tex]\ln{e^{0.055t}} = \ln{3}[/tex]
[tex]0.055t = \ln{3}[/tex]
[tex]t = \frac{\ln{3}}{0.055}[/tex]
t = 19.97.
The difference is given by:
22.58 - 19.97 = 2.61
It would take 2.61 years longer for Carter's money to triple.
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AABC and AXYZ are similar. Find the missing side length.
B
Y
14
28
A
2
4
А
?
C
X
3
Z
(The triangles are not drawn to scale.)
Answer:
21
Step-by-step explanation:
You can tell that AB=2x7
BC=4x7
So, you're increasing each by multiplying each by 7.
3x7=21.
Points scored: 9, 4, 13, 11, 12, 5
What is the median of the points scored?
Answer:
10
Step-by-step explanation:
The median is arranged in numerical value.
it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.
how do you graph y=2x-3
Answer:
so on the graph you can
Step-by-step explanation:
first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works
Answer: 2x3=y. 2x3=6
Step-by-step explanation:
one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.
How do you write 59/20 as a percentage?
Jenny’s grandmother is making a quilt for
her 18th birthday. When she ran out of
material she asked Jenny to go to the
store and pick up more patches.
She only had one square cut in half at the
diagonal, creating 2 equal triangles left.
Each triangle has an area of 0. 18 units.
What is the length of the side of the square?
The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
1 square = 2(areas of triangles)
1 square = 2(0.18)
1 square = 0.36 units²
s² = 0.36
s = √0.36
s = 0.6 unit.
Length of the side of the square = 0.6 unit.
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7. For a party, Allison orders 15 pizzas. Some of the pizzas are pepperoni and cheese and cost $11.50 each. The rest of the pizzas are deluxe and cost $15.25 each. The total cost for the pizzas including a $5 delivery charge is $200. How many of the pizzas are deluxe?
Answer:
6 deluxe pizzas
Step-by-step explanation:
200-5=195
195 is the total cost of pizzas
195=11.50x+15.25y
y=−0.75x+12.79
(the y intercept and slope are rounded)
x is reg. pizzas. y is deluxe
x+y=15
y=-x+15
if you plot both y=-x+15 and y=-0.75+12.79 you get coordinates that round to 9,6
9 pizzas
6 deluxe pizzas.
Which expression can be used to find the area of triangle rst? (8 ∙ 4) - one-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - one-half (5 6 8) (8 ∙ 4) - (5 - 6 - 8)
The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
We start by drawing a rectangle around the triangle as shown in the diagram below.
Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)
[tex]\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)[/tex]
The area of the triangle RTS is (8×4) - 1/2 (16+12+10).
More about the geometry link is given below.
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Answer:Option A
Step-by-step explanation:
If the sample regression equation is found to be yˆ = 10 + 2x, what is the estimated value of Y if x = 5?
The sample regression y = 10 + 2x is a linear regression equation
The estimated value of y if x = 5 is 20
How to estimate the value of y?The sample regression equation is given as:
y = 10 + 2x
When x = 5, the equation becomes
y = 10 + 2 * 5
Evaluate the product
y = 10 + 10
Evaluate the sum
y = 20
Hence, the estimated value of y if x = 5 is 20
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number of solutions of quadratic equations
Answer:
Discriminant = 120
Number of x intercepts = 2
=========================================================
Explanation:
The equation is of the form ax^2+bx+c with:
a = -7
b = 8
c = 2
The discriminant is
d = b^2 - 4ac
d = 8^2 - 4(-7)(2)
d = 64 + 56
d = 120
The discriminant is positive, meaning there are 2 different x intercepts.
If d = 0, then we'd have only one x intercept.
If d < 0, then there wouldn't be any x intercepts.
PLAS HELP!!
For multiple-choice: cubic, quadratic, linear, quintic, quartic
Answer:
cubic3 termsconstant: -2leading term: 1/4x³leading coefficient: 1/4Step-by-step explanation:
The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.
__
The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).
"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."
Is the following a statistical question?
How much do new cars cost?
find two rational and irrational numbers between 2 and 2.5
Answer:
Rational:2.1,2.2
Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]
Step-by-step explanation:
Trial and error
Mrs. Hall spends 1 hour and 30 minutes doing yardwork. She spends 40 minutes cutting the grass. She divides the rest of her time evenly between planting a new bush and pulling weeds. How long does she spend pulling weeds?
Answer:
1 hour and 5 minutes
Step-by-step explanation:
1 hour equals 60 minutes
60 plus 30 equals 90
90 plus 40 equals 130
130 divided by 2 is 65
65 is turned into 1 hour and 5 minutes
Hope this helps
Welcome to Brainly Community
Emilia and Rose ran around a track. Emilia ran 3 more laps than Rose. Altogether, they ran 11 laps.
How many laps did Rose run?
What is the slope of the line that includes these two points
Answer:
[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]
Step-by-step explanation:
[tex]m=\dfrac{rise}{run}[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{6-8}{-7-5}[/tex]
[tex]m=\dfrac{-2}{-12}[/tex]
[tex]m=\dfrac{1}{6}[/tex]
Hope it helps! :)
What is the sum of the six marked angles in the picture?
Answer:
The answer is option D - 1120°
1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.
What is angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.
Therefore, the correct option is option D.
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Please help me. I will make Brainliest
Can someone please help me
Answer:
A. 9.0 seconds
Step-by-step explanation:
How many cups of water should be mixed with 1/4 cup of vinger to make the cleaning solution
Answer:
"mix 1 cup of vinegar with 1 gallon of water"
1 cup = 8oz; 1/4 cup = 2oz
You can see that the amount of vinegar is 1/4 of the original amount,
so, we will need 1/4 of the amount of water, which is 1gallon = 128oz
so, 1/4 times 128oz = 32oz, which is one quart
Algebraically, 8oz : 128oz = 2oz : x
8x = 256; x = 32oz
Find x to the nearest tenth
Answer:
[tex] {x}^{2} = {8.6}^{2} + {11.5}^{2} \\ {x}^{2} = 73.96 + 132.25 \\ x = \sqrt{206.21} \\ x = 14.185 \\ x = 14.19[/tex]
14.19
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
Answer:
8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Step-by-step explanation:
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)
= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc
Combining like terms:
= 8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Answer:
8cx + 45ab + 18ax - 2bc - 15bx - 22ac
Step-by-step explanation:
(8c - 9b)(x - 5a) + (3x + 3c)(6a - 2b)8cx - 9bx - 40ac + 45ab + 18ax + 18ac - 6bx - 2bc8cx + 45ab + 18ax - 2bc - 15bx - 22ac-3(2x+2)<10 thank you in advance
[tex]-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3[/tex]
PLEASE HELP I WILL GIVE BRAINLY TO FIRST GOOD ANSWER
Answer:
(x + 8)(x + 4)
Step-by-step explanation:
x² + 12x + 32 Rewrite
x² + 4x + 8x + 32 Factor
x(x + 4) 8(x + 4)
(x + 8)(x + 4) Final answer
Hope this helps!
Step-by-step explanation:
if x=1 --> 1 + 12 + 32 = 45
if x=2 --> 4+ 24 + 32 = 60
if x=3 --> 9+36+32 = 77
if x=4 --> 16 + 48 + 32 = 96
...
so, with the same logic we'll find the equation:
(x + 8)(x + 4)
(because it's related to each of the equations on the top )
I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)
i need help with this quick plss
Tina would like to withdraw an annual salary of $35,756 from an account paying 2.2% compounded annually for 35 years once she retires. given this information, determine the amount needed in her account in order for her to reach her goal. round to the nearest cent. a. $801,263.20 b. $866,442.02 c. $885,503.75 d. $1,213,299.,90
The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
What is the amount of a fixed period payment to be done to pay off the loan amount which is increasing compoundly?Suppose we're given that:
[tex]P_v[/tex]= Present value of the loan amountr = rate of interest (compound interest) per period of timen = number of period of time in which loan is to be paid offP = A fixed period payment needed to be done for paying off the loan in n number of periods.Then, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]
Why do we need this loan paying formula?
It is because we can simulate this situation with above condition.
Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars
The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022
That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.
We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).
Putting values in the aforesaid formula, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]
Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
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The other person is correct! The answer is B: $866,442.02.
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Have a great day and God bless! :D
In the figure, m
What is the value of X?
A.) 6
B.) 7.2
C.) 4.6
D.) 3.3
[tex]7x-4=\angle PQS\\\\\implies 7x-4 =38\\\\\implies 7x = 38+4\\\\\implies 7x = 42\\\\\implies x = \dfrac{42}7 \\\\\implies x = 6[/tex]
Answer:
7.2
Step-by-step explanation:
5x+2=38
5x=38-2
x=36/5
x=7.2
Find the value of x
Answer:
40, or if you need it unrounded 40.3
Step-by-step explanation: