The current value of Avery’s car is $12,480.
Current valueFirst step is to calculate the Net Worth
Bank accounts $3,900
Credit card debt ($2,950)
Real estate $37,425
Student loans ($1,700)
Investments $4,600
Net worth $41,275
Second step is to calculate the current value of Avery’s car
Current value=$53,755-$41,275
Current value=$12,480
Inconclusion the current value of Avery’s car is $12,480.
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Pls help I need it pls
Answer:
Formula for area of triangle:
A = bh x 1/2
1) height is 8, and base is 8, so:
8(8) x 1/2 = 32 yd
2) height is 5, base is 6, so:
6(5) x 1/2 = 15 ft
3) height is 8, base is 10, so:
10(8) x 1/2 = 40 in
5 meter by 5 meter and 1 meter by 1 meter is
Answer:
If you are asking the shape it's rectangle if you are asking 5x5 = 25 1x1 = 1
What is the perimeter of the window?
The manager of a grocery store wants to determine what proportion of people who enter
his store are his regular customers. What size sample should he take so that at 95%
confidence the margin of error will not be more than 0.1?
answer:
74
Step-by-step explanation:
The sample size for the given confidence interval is 96.
What is a confidence interval?A range of estimates for an unknown parameter is called a confidence interval (CI). A confidence level calculates a confidence interval; The most common confidence level is 95 percent. The confidence level is the percentage of corresponding CIs that contains the actual value of the parameter over time.
Given confidence of margin is at 95%
E = 0.1 = margin of error
95% confidence interval of Z = 1.96
sample size = n, which is given by
n = (Z/E)²(p)(1 - p)
n = (1.96/0.1)²(0.5)(0.5)
n = 96.04 = 96 approx
Hence, the sample size is 96.
Learn more about confidence intervals;
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Item before tax?
3. Mrs. Noah's bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah
decides to leave a 2% tip for the gate keeper based on the pre-tax amount.
How much will the total bill be, including tax and tip?
(SHOW THE WORK PLEASE)
Answer:
$52.50
Step-by-step explanation:
Multiply $50 by 0.03 to find the tax = 1.5
Multiply $50 by 0.02 to find tip = 1
add $50 to 1.5 and 1 to get $52.50
[tex] \displaystyle{ \rm{Simplify:-}}[/tex]
2 1/2×14/25÷{2/5÷(4/7-1/2)}
[tex] \frac{1}{4}[/tex] is the answer.
(I have included the answer as picture.)
[tex]\rm{Have \: a \: great \: day! \: :)}[/tex]
How many real third roots does -343 have? Explain your reasoning.
Answer: One root
Explanation:
x^3 = -343
x^3 + 343 = 0
x^3 + 7^3 = 0
(x+7)(x^2 - 7x + 7^2) = 0 .... sum of cubes factoring rule
(x+7)(x^2 - 7x + 49) = 0
Set each piece equal to zero and solve for x.
You should find that the first piece x+7 = 0 leads to x = -7 as the only real root.
The other piece x^2-7x+49 = 0 leads to two non-real roots, ie complex roots.
There is R240000 in your company bank account at the beginning of the month.Two-fifths of this money is immediately used to pay for various operating expenses.The remaining money is to be used to cover daily expenses over a period of twenty working days .if 13/20ths of this remaining money is used within the first 10 working days of the month,how much is left per day for the remaining 10 working days?
Answer:
$50400
Step-by-step explanation:
2/5 of 240000 is 96000.
So the remaining money is 240,000-96000, which is 144000.
If 13/20 is used in the first ten days, that leaves 7/20 to be used in the next 10 days.
7/20 of 144000 is 50400.
There's the answer!
10
13 + 18 - (
46)
1318-146)
30-(4.6)
120-
Color this answer orange,
I need help
Hey there!
13 + 18 - (4 * 6)
= 31 - 4 * 6
= 31 - 24
= 7
Thus, the answer MIGHT be: 7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
help !!!!!!!!!!!!!!!!!!
Answer:
Second Option
Step-by-step explanation:
The ratio of a 30-60-90 triangle is
a: a times root of 3: 2a.
Since the side opposite of 60 degree angle
[tex] \frac{3 \sqrt{3} }{2} [/tex]
The smallest angle is divided that of root 3.
[tex] \frac{3 \sqrt{3} }{2} \times \frac{1}{ \sqrt{3} } = \frac{3}{2} [/tex]
That side is b. Side A is twice of Side B. Which is
3.
Answer:
I do believe the answer is the second one
Select the correct answer.
Which exponential equation is equivalent to this logarithmic equation?
log_2 x = 24
A. x^24 = 2
B. x^2 = 24
C. 2^24 = x
D. 2^x= 24
Answer:
I think its D
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither.
Explain your reasoning.
Answer:
Step-by-step explanation:
Parallel, if you think about it infinitely, the lines will go on forever, they will never touch each other, if so that means its parallel
10. Use the discriminant to find the values of b for which the equation 4x2 + bx + 1 = 0 has one real solution.
Answer:
b = 4, or -4
Step-by-step explanation:
b^2 - 4*4*1 = 0
b^2 = 16
b = 4, or -4
If the expression 400(1.12)y gives the number of fish in a man-made lake y years after fish were placed in the lake, which statement is true?
The expression 400(1.12)^y is an exponential function
The true statement is that the growth rate of the fish in the lake is 12%
How to determine the true statement?The expression is given as:
400(1.12)^y
The above expression is an exponential growth function,
Where:
4000 represents the initial value1.12 represents the growth factorNext, we calculate the growth rate (r) as follows:
r = 1.12 - 1
r = 0,12
Express as percentage
r = 12%
Hence, the true statement is that the growth rate of the fish in the lake is 12%
Read more about exponential functions at:
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Identify the congruent corresponding parts.
A muffin's label says the muffin has 400 calories per serving, with 2.5 servings per muffin. Kyle eats the entire muffin. What percent of Kyle's daily calories was the muffin, assuming a 2,000-calorie daily diet?
25%
40%
45%
50%
Answer:
50
Step-by-step explanation:
400x2.5
At the school store, notebooks cost $3 You buy x notebooks and 4 packs of markers.
Answer:
3x + 4y
Step-by-step explanation:
You need to explain more. If you are asking for an equation, x represents the cost of each notebook and y represents the cost of each pack of markers. Also, you did not mention how much each pack of of marker costed, so I used y to substitute that amount. If you do know how much a pack of markers costs, multiply that number by 4 and your new equation will be 3x + (whatever the product is).
Can you guys please help me with these 2 questions
Answer:
4) a > b·sin(A) -- triangle exists
5) a > b·sin(A) -- triangle exists
Step-by-step explanation:
The triangle will exist when the missing angle value can be computed using the Law of Sines. That tells you ...
sin(B)/b = sin(A)/a
sin(B) = b·sin(A)/a
In order for the triangle to exist, we must have ...
1 ≥ sin(B)
1 ≥ b·sin(A)/a
a ≥ b·sin(A) . . . . . . . always true if a > b
__
4)a ? b·sin(A)
17 > 13·sin(63°) . . . . true (no calculator needed) triangle exists
__
5)a ? b·sin(A)
24 > 7·sin(120°) . . . . true (no calculator needed) triangle exists
_____
Additional comment
In general if b > a and the triangle exists, there will be two possible triangles with the given dimensions.
The only rational numbers that will give a right angle for B are ...
a=1, b=2, A=30° . . . . . and any multiples of these side lengths
What numbers could replace each letter to make both of the number sentences true?
N x N= 64
N x P= 56
Math: what kind of triangle do you have if it has an obtuse angle which measures more than 90, but less than 80? help please
Answer:
The triangle is obtuse if one angle is between 90º and 180º.
More : Acute < 90º, right = 90º, reflex > 180º (straight 180º, full rotation 360º)
A t-shirt was on sale for 25% off. The original price was $25.00. How much did you pay for
the t-shirt after the discount was taken off?
Answer:
$18.75
Step-by-step explanation:
25/4 = 6.25
25-6.25=18.75
$18.75
Mangos cost $2.60 for 2 pounds. Pears cost $3.50 for 2.5 pounds. How much would 11 pounds of pears cost?
Answer:
Step-by-step explanation:
the area of a rectangle is 2x (length + breadth) true or false
Answer:
false
Step-by-step explanation:
to get the area of a rectangle u need to multiple length and width.
Answer:
false
Step-by-step explanation:
the given expression describes the perimeter.
the area is
length × width (or breadth or depth or whatever word applies best for the second dimension in a certain scenario)
[tex] \tiny\int_{e}^{{e}^{2}} \left( \sqrt{x + \frac{1}{2} \sqrt{x + \frac{1}{4} \sqrt{x + \frac{1}{8} \sqrt{x + \frac{1}{16} \dots} } } } \: + \sqrt{x - \frac{1}{2} \sqrt{x - \frac{1}{4} \sqrt{x - \frac{1}{8} \sqrt{x - \frac{1}{16} \dots} } } } \right) dx \\ [/tex]
We have the identity
[tex]\left(\sqrt x + \dfrac1{2^n}\right)^2 = x + \dfrac1{2^{n-1}} \sqrt x + \dfrac1{2^{2n}}[/tex]
Take the square root of both sides and rearrange terms on the right to get
[tex]\sqrt x + \dfrac1{2^n} = \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt{x} + \dfrac1{2^{n+1}}\right)}[/tex]
Decrementing n gives
[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \left(\sqrt{x} + \dfrac1{2^{n}}\right)}[/tex]
and substituting the previous expression into this, we have
[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right) } }[/tex]
Continuing in this fashion, after k steps we would have
[tex]\sqrt x + \dfrac1{2^{n-k}} = \sqrt{x + \dfrac1{2^{n-(k+1)}} \sqrt{x + \dfrac1{2^{n-k}} \sqrt{x + \dfrac1{2^{n-(k-1)}} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]
After a total of n - 2 steps, we arrive at
[tex]\sqrt x + \dfrac14 = \sqrt{x + \dfrac12 \sqrt{x + \dfrac1{2^2} \sqrt{x + \dfrac1{2^3} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]
Then as n goes to infinity, the first nested radical converges to √x + 1/4. Similar reasoning can be used to show the other nested radical converges to √x - 1/4. Then the integral reduces to
[tex]\displaystyle \int_e^{e^2} \left(\sqrt x - \frac14\right) + \left(\sqrt x + \frac14\right) \, dx = 2 \int_e^{e^2} \sqrt x \, dx = \boxed{\frac43 \left(e^3 - e^{\frac32}\right)}[/tex]
Which of the following functions has an initial value of 3/2 and a rate of change of -2/3?
Answer:
B. because 3/2 is equal to 1.5 or 1 and a half and because of the negative on -2/3 it is a downward facing slope that has the ratio of down 2 over 3 for the slope.
Step-by-step explanation:
Martin was born in 1996. His grandmother was born fifty-two years earlier. What year was Martin's grandmother born?
A. 2048
B. 2046
C. 1944
D. 1943
Answer:
option C is correct answer.
hope this helps you !
the Cinde of the radius (2) Evaluate x2 + y2 + 8x+6y=0 (a) (6 (5) 25 ( 4 (d) 5
x2+y2+8x+6y=0
x2+8x+6y+y=0
9x2+7y2
15x2y2
Joel is training for soccer season.
On Monday, Joel exercises for 20 minutes before school, and 25% of that time is spent playing soccer.
On Monday, Joel exercises for 60 minutes after school, and 40% of that time is spent playing soccer.
What is the total amount of time, in minutes that Joel plays soccer?
PLEASE URGENT HELP PLEASE 100 POINTS PLUS BRAILIEST AND A GOOD REVIEW PKUS 20 COMMENTS IM BEGGING YOU PLEASE HELP ME
Answer:
part A:60
Step-by-step explanation:
25% of 20 is 5 now we know 40% of 60 which is 24 add 5+24=29 .hope this is helpful
Writing: A mistake has been made in the solution. Explain the error and how to correct it.
Answer:
The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.
The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.
-2 times 3x is -6x and -2 times -4 is positive 8
Step-by-step explanation:
y = 3x - 4
3x - 2y = 13
------------------------
3x - 2(3x - 4) = 13
3x - 6x + 8 = 13
-3x + 8 = 13
-3x = 5
x = -5/3
y = 3(-5/3) - 4
y = -5 - 4
y = -9
Solution: x = -5/3 and y = -9
Please click on the picture and help me! I NEED THIS ASAP (BTW THIS IS FROM THE GIVER MOVIE AND BOOK) (20 points if you help me please someone help me!