Answer:
x = -12
Step-by-step explanation:
3/4x + 12 = 3
3/4x = -9
3x = -36
x = -12
Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $106,200?
Answer:17
Step-by-step explanation:
The time taken for her to reach the amount of $106,200 will be 17 years.
What is compound interest?Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that:-
Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously.The formula for calculating the compound interest continuously.
[tex]A \ = \ P e^ {rt}[/tex]
[tex]106200\ = \ 54000e^{0.04t}\\\\\\\dfrac{106200}{54000}=e^{0.04t}\\\\\\1.97\ = \ e^{0.04t}\\\\\\Ln(1.97)=Ln(e^{0.04t})[/tex]
Ln(1.97) = 0.04t
t = 17 years.
Therefore the time taken for her to reach the amount of $106,200 will be 17 years.
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If you spin the spinner 11 times, what is the best prediction possible for the number of times it will land on yellow?
yellow:4
green:3
pink: 4
the lablel on a 1/2- pound bag of wildflower seeds states that it will cover an area of 375 square feet . based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover.
Answer: so a 1 and 1/2 bag will cover 375
1=2/2
1 and 1/2=2/2 and 1/2=3/2
so 3/2 pound covers 375
2/2 pounds covers x
3/2pound=375
multiply both sides by 2 to get rid of the fraciton
3pound=750
divide both sides by 3
1pound=250 square feet so the answer is c. 250 square feet
Step-by-step explanation:
How many different ways can the letters of "Mississippi" be arranged.
Answer: .........34,650
Step-by-step explanation:
Answer:
Mississippi has 11 letters in it so
11 · 10 · 9 · 8 · 7 · 6 · 5 · 4 · 3 · 2 · 1 = 11! or 39,916,800
Step-by-step explanation:
Can anyone help me with this and can you also explain how you got that answer please
Answer:
7.2
Step-by-step explanation:
Use the distance formula:
d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Points of the diagonal: (-2, -2) and (2, 4)
d = [tex]\sqrt{(2-(-2))^2+(4-(-2))^2}[/tex]
d = [tex]\sqrt{(2+2)^2+(4+2)^2}[/tex]
d = [tex]\sqrt{(4)^2+(6)^2}[/tex]
d = [tex]\sqrt{16 + 36}[/tex]
d = [tex]\sqrt{52}[/tex]
d ≈ 7.2
Help quickly pls! ill mark brainliest
Answer:
C. 14; it raises the man by about 1.9
Step-by-step explanation:
I need help with these questions can someone help me please?
Answer:
angle m 1 = 155°
angle m 2 = 25°
angle m 3 = 155°
angle m 4 = 25°
angle m 5 = 25°
angle m 6 = 155°
angle m 7 = 25°
angle m 8 =155°
1st Vertically opposite angle
2nd Linear pair
3rd Corresponding angle
4th Angle Alternative
5th Angle Alternative
Plzzz mark me as brainliest :)
Explaination:
angle m 2 = angle m 7 = angle m 4 is 25°
angle m 1 = angle m 3 = angle m 6 = angle m 8 is 155°
can you help me asap please
Answer:
-2, 4. -2 is x and 4 is y
Step-by-step explanation:
hope this helps!
Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system
Answer:
A. mount
Step-by-step explanation:
Semoga bermanfaat
Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system
Answer:
the answer is C
Step-by-step explanation:
Anyone pls helppppppppp!!
Answer:
0.50
Step-by-step explanation:
The coordinates for the vertices of Quadrilateral MNPQ are M (3,0), N (1,3), P (-2,1) and Q (0,-2) Classify quadrilateral MNPQ show your work!
Hope that helped
I'm not sure if that's right
Jose received a $100 gift card to his favorite coffee shop for his birthday. Every week he goes to the coffee shop and spends $5 on a drink.
a. Write an equation to represent the relationship between the amount of m money remaining on Jose’s gift card and the number of w weeks.
b. How many weeks will it be when Jose has only $15 remaining on his gift card?
Please help! I'll mark brainliest if correct :D
Answer:
Step-by-step explanation:
The Equation is m/w=5 And it will be 17 weeks when he has 15 remaining on his card
Triangle A'B'C' is the result of translating ABC by 6 units to the right and 2 units down. Select all of the correct statments about the unchanged properties of ABC and A'B'C'
Answer:
The correct answers are A and C.
Step-by-step explanation:
Answer: A + C
Step-by-step explanation:
i got it right
what is our goal when solving a system of equations?
Answer:
Look below.
Step-by-step explanation:
Our goal when solving a system of equations is to reduce two equations that have two variables, down to a single equation with one variable.
Help? which one should I choose
Answer:
the second
Step-by-step explanation:
On the first day of class, Alana skimmed the first 17 pages from each of the books
assigned in her literature class. Each assigned book has an equal number of pages. Is
this sample of the assigned reading likely to be biased or unbiased?Why?
A . biased; convenience sample
B . unbiased; represents population
C .biased; voluntary sample
D .unbiased; random sample
Answer:
A. biased; convenience sample
Step-by-step explanation:
Alana is reading the first 17 pages, which are what is most conveniently available.
The sample of the assigned reading likely to be biased and convenience sample.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
Alana skimmed the first 17 pages from each of the books
assigned in her literature class. Each assigned book has an equal number of pages.
According to given question we have
A biased estimator is one that deviates from the true population value. A biased sample can still be useful if the nature of the bias and how much of a bias exists is known.
An unbiased estimator is when a value from a sample is the same as the actual value of a population parameter.
The sample is not chosen at random, the inherent bias in convenience sampling means that the sample is unlikely to be representative of the population being studied. This undermines your ability to make generalizations from your sample to the population you are studying.
Therefore, the sample of the assigned reading likely to be biased and convenience sample.
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need help fast thank you
Answer:
422.5
Step-by-step explanation:
Given,
Diameter = 23.2
Radius = 23.2 ÷ 2 = 11.6
So, Area is
[tex] = \pi {r}^{2} [/tex]
[tex] = 3.14 \times 11.6 \times 11.6[/tex]
= 422.5184
As rounding to nearest tenth we check the hundreth digit i. e.
422.5184
Since, 1 is smaller than 5 so,
422. 5 (Ans) (Rounded to nearest tenth)
3|4x-9=27
how to solve this
Answer: x=48
Step-by-step explanation:
first add 9 to both sides
then add 27 to 9 to get 36
multiply both sides by 3/4 the reciprocol of 4/3
and youll get x=36 x (4/3)
simply to a single fraction then
then divide 144 by 3 to get 48
Which expression is equivalent to the given expression? 6ab/(a^0b^2)^4
Answer:
B
Step-by-step explanation:
[tex]x^{0} = 1\\\\\frac{x^{m}}{x^{n}}= \frac{1}{x^(n-m)}}, n >m\\\\\\\frac{6ab}{(a^{0}b^{2})^{4}}=\frac{6ab}{(1*b^{2})^{4}}\\\\=\frac{6ab}{b^{2*4}}\\\\=\frac{6ab}{b^{8}}\\\\=\frac{6a}{b^{8-1}}\\\\=\frac{6a}{b^{7}}[/tex]
The equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7
How to determine the equivalent expression?The expression is given as:
6ab/(a^0b^2)^4
Evaluate the exponent of 0
6ab/(b^2)^4
Apply the law of indices, and open the bracket
6ab/b^8
Apply the law of indices
6a/b^(8-1)
Evaluate the difference
6a/b^7
Hence, the equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7
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I don’t understand this I would like for someone to help me real fast
Answer:
16.2
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
10 squared = 100
19 squared = 361
361 - 100 = 261
square root of 261 = 16.2
[tex]10^{2} + 16.2^{2} = 19^{2}[/tex] is the equation
hope this helps
Mark brainliest please
Answer:
They say.. use Pythagorean theorem formula.... what is it? :) you have to remember it. I'll put it below in case you don't remember
Step-by-step explanation:
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] +[tex]B^{2}[/tex]
and I know, you're thinking..... what's the deal with all the letters... how do I add those up? :D ..... you are right... you can't add letters... the letters are just the variables... or places holders for numbers... you can put many different numbers into each of them but... the relationship.... which is made by the equal sign.. must hold true for any numbers you put in for the variables.... sooo.. like this.. for your particular answer
[tex]19^{2}[/tex] = [tex]10^{2}[/tex] + [tex]y^{2}[/tex]
( notice I've put in a " y " , where there is a B in the formula above but that's just a letter... again.. which is just a variable... the place holder for a number... soooo..... )
361 = 100 + [tex]y^{2}[/tex] ( subtract 100 from each side of the " = " )
261 = [tex]y^{2}[/tex] ( to undo the square on the wye... square root both sides)[tex]\sqrt{261}[/tex] = y
my calculator tells me that [tex]\sqrt{261}[/tex] = 16.15549442
they say round to the nearest 10th... soooo..
16.2 is the answer :)
Enter a number in each box so that the expressions are equivalent. (A) 0.8 (2x + x) + 3(7 - 4.1x) = x + 21 (B) 12 1 2 (6x + 22y) = x + y (C) (3x - ) - (6x + 1) = -3x - 2 (D) 112 1 2 x + 27y = (12 1 2 x + 9y)
The questions aren't well formatted ; from the values that are observable,
Answer:
Coefficient of x = -9.9 ;
Coefficient of x = 75
Coefficient of y = 275
Step-by-step explanation:
Given :
0.8 (2x + x) + 3(7 - 4.1x) = __x + 21
0.8(3x) + 21 - 12.3x = __x + 21
2.4x + 21 - 12.3x = __x + 21
-9.9x + 21 = __x + 21
-9.9
12 1/2 (6x + 22y) = x + y
75x + 275y = x + y
Answer:
The answers are:
1. -9.9x
2. 3x + 11y
3. 1
4. 3
The Earth's crust is ___
thin
fragile
the outermost layer
all of the above
Answer:
all of the above po
Step-by-step explanation:
sana makatulong
Answer:
Extremely
Step-by-step explanation:
A gas can holds 10 liters of gas.
How many cans could we fill with 7 liters of gas?
Include fractions of cans, if applicable.
cans
Answer:
7/10
Step-by-step explanation:
We have liters of gas, and we need to figure out how many cans we can fill.
Hint #22 / 4
We need to divide the 7 liters by the 10 liters that each can holds.
Answer:
7/10
Step-by-step explanation:
which statement represents eight more than six times a number is five less than three times that number
PLZ HELP ME I HAVE 3 MORE MINUTES
Answer:
3
Step-by-step explanation:
(6 + 2 x 6)/(15 - 11 + 2)
(6 + 12)/(4 + 2)
18/6
3
Answer:
decimal-
Step-by-step explanation:
-2.2
3(x – 2) – 2x + 3 = -12
A sign next to a roller coaster at an amusement park says, “You must be at least 60 inches tall to ride.” Noah is happy to know that he is tall enough to ride.
Noah is x inches tall. Which of the following can be true: x>60, x<60, or x=60?
Explain how you know.
Answer:
x>60 or x=60
Step-by-step explanation:
The must be 60 or more inches.
Answer:
x=60 and x>60
Step-by-step explanation:
if he is taller > or equal = to 60 than he can ride
is the following relation a function? Yes or no
Answer:
yes
Step-by-step explanation:
the line is in -1 in all 4 quadrants, I will say yes but I'm not sure
Answer:
the following is not a function
Step-by-step explanation:
the following is not a function because in order for it to be a function none of the x values can repeat and the x values repeat therefore it is not a function
The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.
Given:
The product of two consecutive numbers is 72.
To find:
The two numbers by using the quadratic equation.
Solution:
Let the two consecutive numbers are x and (x+1).
The product of two consecutive numbers is 72.
[tex]x(x+1)=72[/tex]
[tex]x^2+x-72=0[/tex]
Splitting the middle term, we get
[tex]x^2+9x-8x-72=0[/tex]
[tex]x(x+9)-8(x+9)=0[/tex]
[tex](x+9)(x-8)=0[/tex]
Using zero product property, we get
[tex]x+9=0[/tex] and [tex]x-8=0[/tex]
[tex]x=-9[/tex] and [tex]x=8[/tex]
If [tex]x=-9[/tex], then
[tex]x+1=-9+1[/tex]
[tex]x+1=-8[/tex]
If [tex]x=8[/tex], then
[tex]x+1=8+1[/tex]
[tex]x+1=9[/tex]
Therefore, the two consecutive numbers are either 8,9 or -9,-8.
I NEED HELP WILL MARK BRAINLIEST
Answer:
4.5 units
Step-by-step explanation: