Please help me with this question
Answer:
m∠2=12°
Step-by-step explanation:
some of two angles is 90
90 -78=12
Three different accounts are described below. Order the accounts according to their values after 10 years, from greatest to least.
You deposit $950 in an account that earns 5% interest semiannually.
You deposit $800 in an account that earns 7.5% annual interest compounded quarterly.
You deposit $700 in an account that earns 7.75% annual interest compounded monthly.
Answer:
$800 at 7.5%$950 at 5%$700 at 7.75%Step-by-step explanation:
You want to order the accounts greatest to least by their value after 10 years.
$950 at 5%, compounded semiannually$800 at 7.5%, compounded quarterly$700 at 7.75%, compounded monthlyValueThe value of each account can be found using the compound interest formula:
A = P(1 +r/n)^(nt)
Principal P earning rate r compounded n times per year for t years.
For the three accounts, the corresponding values are ...
950(1 +0.05/2)^(2·10) = 1556.69800(1 +0.075/4)^(4·10) = 1681.88 . . . . . . . greatest value700(1 +0.0775/12)^(12·10) = 1515.63 . . . . . least valueComparisonThe order, greatest to least, according to the account values is ...
$800 at 7.5%$950 at 5%$700 at 7.75%__
Additional comment
The $700 account will overtake the $950 account after 11 years. It will take about 46 years for it to overtake the $800 account. Eventually, the higher interest rate with greater frequency of compounding wins out.
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You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much money would you save by shopping in the physical store after all discounts, taxes, and shipping fees have been applied?
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
A)It is more expensive to shop in the physical store.
B0$19.62
C)$9.94
D)$0.46
The solution is Option D.
The difference in shopping from store and online is given by the equation D = $ 0.46
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of shopping in physical store be A
Let the total cost of shopping online be B
Now , the equations will be
The number of batteries = 2
The number of stereo = 1
The number of CDs = 3
The cost of buying 2 packs of batteries from store = 2 x ( 5.99 ) = $ 11.98
The cost of buying 1 stereo from store = 1 x ( 100 ) = $ 100.00
The cost of buying 3 CDs from store = 3 x ( 7.95 ) = $ 23.85
The total purchase cost without discount and sales tax = $ 135.83
The cost with 10 % discount = $ 122.247
The cost after 5 % sales tax = $ 128.35935
So , the total cost of shopping in store A = $ 128.35935
And ,
The cost of buying 2 packs of batteries online = 2 x ( 4.99 ) = $ 9.98
The cost of buying 1 stereo from online = 1 x ( 90 ) = $ 90.00
The cost of buying 3 CDs from online = 3 x ( 8.95 ) = $ 26.85
The total purchase cost without discount and sales tax = $ 126.83
The cost with $ 5 discount = $ 121.83
The shipping cost in online store = $ 121.83 + $ 6.99 =
So , the total cost of shopping in online store A = $ 128.82
Now , the difference in shopping from store and online is
D = $ 128.82 - $ 128.35935
On simplifying the equation , we get
D = $ 0.46
Hence , the equation is D = $ 0.46
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Help with this question?
Answer:
a.18%
b.68%
Step-by-step explanation:
for a you need to multiply 2 to get 18 out of 100 to get 18% and for b you need to multiply 4 to get 68 out of 100 to get 68%
The following information is known about a loan time equals seven years interest rate equals 6% interest equals 840 $.00 what was the principal on a loan
Answer:
$2,000
Step-by-step explanation:
Interest = Principal x Rate x Time
840 = .06(7)p
840 = 0.42p
p = 2000
Simplify 8⁶÷8 Please im have trouble
Answer: 8^5
Step-by-step explanation: 8^6 is 8*8*8*8*8*8, so when you divide by 8 it cancels one of the 8s. Therefore you are left with 8*8*8*8*8 or 8^5.
help with this :) 25 point
Answer:
76°
Just know that angles on the parallel sides always add up to 180°
just need a answers thank u mwa
Answer:
The answer is 112ft
Step-by-step explanation:
32+16+8+8+16+8+8+16 = 112ft
Answer:
112ft
Step-by-step explanation:
The length of the little rectangle jutting out is the only unmarked length, so once we find that we can just add up all the sides to find the perimeter.
We see the overall length of the shape is 24ft and the length of the top of the shape, minus the unmarked length, is 16ft. This means the unmarked length is 24ft-16ft=8ft
Now add up each side to get to the perimeter:
32ft + 16ft + 16ft + 8ft +8ft +8ft +8ft +16ft = 112ft
Find the Nth term sequence
Answer:
[tex]a_{n}[/tex] = 6n - 5
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
7 - 1 = 13 - 7 = 19 - 13 = 6
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = 6 , then
[tex]a_{n}[/tex] = 1 + 6(n - 1) = 1 + 6n - 6 = 6n - 5
A collection of nickels, dimes, and quarters consist of
11
coins with a total of
$1.70
. If the number of dimes is equal to the number of nickels, find the number of each type of coins.
The number of each type of coins are 3 nickle, 3 dime and 5 quarters.
What are coins?A usually flat piece of metal issued by governmental authority as money.
Given that, a collection of nickels, dimes, and quarters consist of 11 coins with a total of $1.70
We know that, the values are:
quarters (q) = 25 cent, nickles (n) = 10 cent, dime (d) = 5 cent:
q + n + d = 11 coins…(x)
25q + 10n + 5d = 170 cents
Since, d = n
Therefore,
q + 2n = 11
25q + 15n = 170
q + 2n = 11...(i)
5q + 3n = 34...(ii)
Put q = 11-2n, in eq(ii)
Therefore,
5(11-2n)+3n = 34
55-10n+3n = 34
7n = 21
n = 3
Put n = 3 in eq (i)
q = 11-6
q = 5
Put the values of n and q in eq (x)
3+5+d = 11
d = 3
Hence, the number of each type of coins are 3 nickle, 3 dime and 5 quarters.
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You deposit $3000 in a savings account at Yorktown Bank, which has a
rate of 5%. Find the interest at the end of the first year.
Answer:
$150
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 3000(.05)(1)
I = 150
12) Identify the trigonometry ratio that would be used to find x.
B
11
37°
A) sine
OB) cosine
OC) tangent
The required trigonometry ratio that would be used to find x is cosine. Option B is correct.
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
Consider the triangle ACB, in order to determine the measure of x, we can use the cosine operator of the trigonometric ratio.
So,
cosB = BC/AB
cos37 = 11/x
0.8 = 11/x
x = 11 / 0.8
x = 13.75
Thus, the required trigonometry ratio that would be used to find x is cosine. Option B is correct.
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PLEASE HELP WITH ALL PARTS ILL GIVE 80 POINTS ABC is graphed below.
22 Part A
What are the midpoints of AB and BC? Enter your answers as ordered
23. Part B
What is the length of AC? Provide your answer as a radical.
What is the slope of AC?
25, Part D
Darlene claims that the line segment connecting the midpoint
and is half the length of AC. Explain whether Darlene is correct or not
The midpoint and length of the sides of the triangle can be presented follows
22 Part A
Midpoint of [tex]\overline{AB}[/tex] = (3, 5)
Midpoint of [tex]\overline{BC}[/tex] = (6, 4)
23 Part B
Length of [tex]\overline{AC}[/tex] is 2·√(10)
Slope of [tex]\overline{AC}[/tex] is -1/3
25 Part D
According to the midsegment theorem, Darlene is correct
What is the midpoint of a line segment?The midpoint of a segment divides the segment into two same length segments.
22 Part A
The midpoint, ([tex]x_m[/tex], [tex]y_m[/tex]) between points (x₁, y₁), (x₂, y₂) of a segment can be found as follows;
[tex]x_m[/tex] = (x₁ + x₂)/2, [tex]y_m[/tex] = (y₁ + y₂)/2
The coordinates of the points in the triangle are; A(2, 2), B(4, 8), and C(8, 0)
The midpoint of [tex]\overline{AB}[/tex] = ((2 + 4)/2, (2 + 8)/2) = (3, 5)The midpoint of [tex]\overline{BC}[/tex] = ((4 + 8)/2, (8 + 0)/2) = (6, 4)23 Part B
The length of a segment with boundary points (x₁, y₁), (x₂, y₂) is the distance between the points (x₁, y₁), (x₂, y₂), which is found using the following distance formula for finding the distance, d, between points;
d = √((x₂ - x₁)² + (y₂ - y₁)²)The length of the segment [tex]\overline{AC}[/tex] is the distance between the points A(2, 2), and C(8, 0), which is found as follows;
Where;
(x₁, y₁) = (2, 2) and (x₂, y₂) = (8, 0), we get;
Length of [tex]\overline{AC}[/tex] = √((8 - 2)² + (0 - 2)²) = √(6² + (-2)²) = √(40)
Length of [tex]\overline{AC}[/tex] = √(40) = 2·√(10)The slope of a line, m = (y₂ - y₁)/(x₂ - x₁)
The slope of [tex]\overline{AC}[/tex] = (0 - 2)/(8 - 2) = -2/6 = -1/325 Part D
The length of the line segment connecting the midpoint can be found using the distance formula as follows;
The defining points on the line segment are (3, 5) and (6, 4)Therefore;
Length of the line segment connecting the midpoint = √((6 - 3)² + (4 - 5)²) = √(10)
Length of [tex]\overline{AC}[/tex] = 2·√(10)Therefore, Darlene is correctThe line segment connecting the midpoint is half the length of [tex]\overline{AC}[/tex], which is stated in the midsegment theorem
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A chef buys 15 fresh baguettes daily for sandwiches.if by the end of the day only 11 baguettes were used how many baguettes are left to repurpose into croutons for soup and salads
Answer: 4
Step-by-step explanation: 15-11=4
What is the driving time for a 1800-mile trip if you drive at an average speed of 45 miles per hour? What is the driving time at 69 miles per hour?
Answer:
40 hours
26.09 hours
Step-by-step explanation:
What is the driving time for a 1800-mile trip if you drive at an average speed of 45 miles per hour?
1800 / 45 = 40 hours
What is the driving time at 69 miles per hour?
1800 / 69 = 26.09 hours
Step-by-step explanation:
The driving time for a 1800-mile trip at an average speed of 45 miles per hour can be calculated as
Driving time = Total distance / Average speed
Driving time = 1800 miles / 45 miles per hour = 40 hours
Similarly, the driving time at an average speed of 69 miles per hour can be calculated as:
Driving time = 1800 miles / 69 miles per hour = 26 hours
So if you drive at an average speed of 45 miles per hour, the driving time for a 1800-mile trip would be 40 hours, and if you drive at an average speed of 69 miles per hour, the driving time would be 26 hours.
The inequality of the form |x-a| k that has the solution set (5,13) is
The inequality is |x-9| ≥ 4, and its solution set is (5,13).
What is inequality?An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality of the form |x-a| ≥ k means that the distance between x and a is greater than or equal to a certain value, k.
If the solution set is (5,13), it means that x is a number between 5 and 13, but not including 5 or 13. In other words, 5 < x < 13.
To find the value of a and k, we need to look for the midpoint of the solution set, which is (5+13)/2 = 9.
The distance between 9 and either endpoint (5 or 13) is 4, which is the value of k.
Thus, the inequality is |x-9| ≥ 4, and its solution set is (5,13).
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Is 2/9 = 10/45 a true proportion?
Answer:
Yes
Step-by-step explanation:
To find this out. If you divide the denominators by each other, they would need to be the same value as if you divide the numerators by each other
[tex]45 \div 9 = 5[/tex]
^ 45 and 9 were the denominators, we divide and get 5
Now for the numerators
[tex]10 \div 2 = 5[/tex]
^ 10 and 2 we're the numerators, dividing also gave 5
Answer:
yes.
Step-by-step explanation:
let us check. to be a proportion they must be equivalent
however, what do we multiply to get there? let us check..
[tex]\frac{2x}{9x} =\frac{10}{45}[/tex]
cross multiply...
2x * 45 = 9x * 10
90x = 90x
yes, they will be proportional!
you can even do it without the X, i just put x in to make it clearer.
Solve for A.
W=A/6.
Help please.
Thank you! TIA
Answer:
A = w*6
Step-by-step explanation:
W = A/6
Multiply both sides by 6 using the multiplication property of equality.
A = W*6
or
A = W x 6
Hope this helps!
How Many Solutions Does The Equations y=-2x+1 and y=3x-1
Answer:
It has a Unique solution.
Step-by-step explanation:
The equations are:
y=-2x+1 and y=3x-1
subtracting equation 2 from equation 3
we get,
⇒-5x+2=0
⇒5x=2
⇒x=2/5
substitute x in equation 1, then we get
⇒y=-4/5+1
⇒y=1/5
Hence the equations have a Unique solution.
Look at the photo please
The equations that explains the process to find the number of square yards of fabric she will use and the number of square yards of fabric she will have left, using the addition of fractions are;
(3/8) + (2/8) = 5/8 square yards of fabric will be used
1 - 5/8 = 3/8 square yard of fabric will be left
What are fractions?A fraction is a representation of a part of a whole, consisting of a number in the numerator divided by another number in the denominator expressed as a quotient.
The amount of fabric Diana has = 1 square yard
Amount of fabric to make one pillow = 3/8 square yard
Amount of fabric required to make the other pillow = 2/8 square yard
Therefore, the amount of fabric Diana will use can be found by adding the fractions of the areas of the fabric she uses for each pillow as follows;
3/8 + 2/8 = ((3 × 1) + (2 × 1))/8 = (3 + 2)/8 = 5/8 square yard of fabric will be usedThe number of square yard of fabric Diana will have left can be found from the difference between the initial number of square yards of fabric Diana has and the amount of square yards of fabric she will use.
Initial number of square yards of fabric = 1
Number of square yards of fabric she will use = 5/8
Therefore;
Number of square yard of fabric Diana has left = (Initial number of square yards of fabric) - (Number of square yards of fabric she will use)
Number of square yard of fabric Diana has left = 1 - 5/8 = (8 - 5)/8 = 3/8
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guys i swar this is the last one just this one and thats it <3
Answer:
Choice B is the closest
Step-by-step explanation:
A-lateral = 2πrh
r = D/2 = 16.5/2 = 8.25
h = 14
A = 2π(8.25)(14) = 725.7 in²
estimate the population in the year 2040
well, in 2007 it was 12000, so initially that's what it was, and in 2019 it went to 23000, so that's 12 years later, and in 2040, that'll be 33 years later.
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 23000\\ P=\textit{initial amount}\dotfill &12000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &12\\ \end{cases} \\\\\\ 23000 = 12000(1 + \frac{r}{100})^{12}\implies \cfrac{23000}{12000} =\left(1+ \cfrac{r}{100} \right)^{12} \\\\\\ \cfrac{23}{12}=\left(\cfrac{100+r}{100} \right)^{12}\implies \sqrt[12]{\cfrac{23}{12}}=\cfrac{100+r}{100}[/tex]
[tex]100\sqrt[12]{\cfrac{23}{12}}=100+r\implies 100\sqrt[12]{\cfrac{23}{12}}-100=r\implies \boxed{5.57\approx r} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &12000\\ r=rate\to 5.57\%\to \frac{5.57}{100}\dotfill &0.0557\\ t=years\dotfill &\stackrel{year~2040 }{33}\\ \end{cases} \\\\\\ A \approx 12000(1 + 0.0557)^{33} \implies \boxed{A \approx 71782}[/tex]
.. who. staple. food of the Vedic Aryan was ?
A) Barley and rice. B) MMilk
Answer: b
Step-by-step explanation: ias chinadu
B because that's the VA which would be intellectually specialist.
please help me i don't know how to do this.
The domain of f * g is the set of all real numbers x such that x ≤ 6.
In interval notation, we can write:
Domain of f * g = (-∞, 6].
What is the domain of the function?
The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The domain of the function f(x) = √(6-x) is the set of all real numbers x such that 6-x ≥ 0, which is x ≤ 6.
The domain of the function g(x) = x² - x is the set of all real numbers x, since there are no restrictions on the input.
To find the domain of the function f * g, we need to consider the values of x for which the expression f(x) * g(x) is defined.
We have:
f(x)g(x) = √(6-x)(x² - x)
The expression is defined only if both factors are defined.
For the first factor, √(6-x) to be defined, we need 6-x ≥ 0. This means that x ≤ 6.
For the second factor, x² - x to be defined, there are no restrictions on the input.
Therefore, the domain of f * g is the set of all real numbers x such that x ≤ 6.
In interval notation, we can write:
Domain of f * g = (-∞, 6].
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what mistake did he make help!!
Answer:
b
Step-by-step explanation:
Can't see the whole transaction because it is cutoff on the bottom but it looks like b
A cellular phone company uses the formula $16+ $0.04m to calculate each subscriber's monthly
bill, where m is the number of minutes used. If Angelo uses 142 minutes on his phone this month,
how much will his bill be?
How do you do this? PLease HElp
Answer:
Step-by-step explanation:
All you have to do is put the values of x in the inequality.
The first, x=-45:
put that into x/-5 = -45/-5 =9 and so on.
Hope this helps :)
PLEASE HELP (IMAGE ATTACHED)
the answer I get is -8+35x over 5x
But what does it simplify to?
Answer:
(-8 + 35x) / 5x or -8 / 5x + 7 (same)
Step-by-step explanation:
(-32x^8 + 140x^9) / 20x^9 =
= -32x^8 / 20x^9 + 140x^9 / 20x^9 =
= -8 / 5x + 7 =
= (-8 + 7 * 5x) =
= (-8 + 35x) / 5x
P.S. you can also simplify this, but only when the value of x is knownWhat is the volume 
Answer:
384 cm
Step-by-step explanation:
please and answers please just need help
Answer:
100π - 192 or 122.159....
Step-by-step explanation:
In order to find the diameter we much first split the rectangle diagonally and find the hypotenuse using Pythagorean theorem.
a^2 + b^2 = c^2
16^2 + 12^2 = c^2
400 = c^2
c = 20
If the diameter of the rectangle is 20, the radius is just half of that which is 10. Then you just need to a do a basic calculation for area of a circle and then subtract out the area of the rectangle.
Area of circle = πr^2 = π(10^2) = 100π (keeping it in exact value since π is infinite)
Area of rectangle = lw = (16)(12) = 192
Area of shaded area = 100π - 192 (exact) = 122.159 (estimate)