Answers
Answer:
Step-by-step explanation:
Related Questions
You just bought a new tablet computer for $500, including tax. There are no required payments for six months, but the company does charge 30% annual interest, compounded monthly, on any unpaid balance.
what is the effective annual rate of interest if you do not make any payments for a year?
Answers
The effective annual rate of interest if you do not make any payments for a year is 35%.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
[A] = final amount
[P] = initial principal balance
[r] = interest rate
[n] = number of times interest applied per time period
[t] = number of time periods elapse
Given is that You just bought a new tablet computer for $500, including tax. There are no required payments for six months, but the company does charge 30% annual interest, compounded monthly, on any unpaid balance.
We can write -
A = 500(1 + 0.3/12)¹²⁽¹⁾
A = 500(1 + 0.025)¹²
A = 500 x (1.025)¹²
A = 675
Effective annual interest rate for a year is as follows -
A = 500(1 + r/1)⁽¹⁾⁽¹⁾
675 = 500(1 + r)
1 + r = 675/500
1 + r = 1.35
r = 0.35
r = 35%
Therefore, the effective annual rate of interest if you do not make any payments for a year is 35%.
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What is the area of the shaded region?
6 mm
21 mm2
24 mm
42 mm
48 mm2
4 mm
3 mm
2 mm
5 mm
Answers
Answer:
The area of the shaded region is, [tex]24mm^{2}[/tex]
Step-by-step explanation:
First we have to calculate the area of ΔABC and ΔXYZ.
Area of ΔABC = [tex]\frac{1}2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]
Area of ΔABC = [tex]\frac{1}{2}[/tex]×[tex]5mm[/tex]×[tex]12mm[/tex]
Area of ΔABC =[tex]30mm^{2}[/tex]
and,
Area of ΔXYZ = [tex]\frac{1}{2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]
Area of ΔXYZ = [tex]\frac{1}{2} X3mmX4mm[/tex]
Area of ΔXYZ = [tex]6mm^{2}[/tex]
Now we have to calculate the area of the shaded region.
Area of the shaded region = Area of ΔABC - Area of ΔXYZ
Area of the shaded region = [tex]30mm^{2} - 6mm^{2}[/tex]
Area of the shaded region = [tex]24mm^{2}[/tex]
Therefore, the area of the shaded region is, [tex]24mm^{2}[/tex]
PLEASE HELP ME PLEASE
Which of the following will form the composite function G(Ax)) shown
below?
(Ax)) = 3(x + 1)
O A. Ax) = 5x + 1 and G(x) = 3x
O B. Ax) = 3x and g(x) = + 1
O c. Ax) = x+1 and g(x) = 3x
O D. Ax) = x3x and G(x) = 1
Answers
Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
PLZ HELP! Use technology or a z-score table to answer the question.
The amount spent by customers at a grocery store is normally distributed with a mean of $144.05 and a standard deviation of $34.52.
Approximately what percent of customers at the grocery store spend more than $200?
5.3%
8.2%
91.8%
94.7%
Answers
Answer:
the answer would be A, or 5.3%
Step-by-step explanation:
you start by finding the z-score of 200, so 200-144.05 = 55.95/34.52 = 1.62 (rounded to the nearest ) Then you use a z-score table to find the probability that a customer will spend less than 200 dollars and subtract the decimal probability from one. then you convert the decimal probability to a percent and get 5.3%.
How do you find the third side of an isosceles triangle when given the angle?
Answers
The third side of the isosceles triangle is equal to the square root of 2 multiplied by the hypotenuse, multiplied by the sine of the opposite angle.
Given an isosceles triangle with an angle and two equal sides, we can use the Pythagorean Theorem to calculate the missing side.
The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. Therefore, we can use this formula to calculate the missing side of the triangle.
First, let's call the two equal sides of the triangle 'a', and the angle opposite to them 'A'.
We can then use the Pythagorean Theorem to calculate the missing side, 'c', which is the third side of the triangle.
[tex]c^2 = a^2 + a^2\\c^2 = 2a^2\\c = sqrt(2a^2)[/tex]
To calculate 'c', we can first calculate 'a' by using the formula:
a = c * sin(A)
Then we plug 'a' into the equation for 'c':
c = sqrt(2*(c * sin(A))^2)
c = sqrt(2)*c*sin(A)
Therefore, the third side of the isosceles triangle is equal to the square root of 2 multiplied by the hypotenuse, multiplied by the sine of the opposite angle.
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A boat heading out to sea starts out at Point AA, at a horizontal distance of 862 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 15^{\circ}
∘
. At some later time, the crew measures the angle of elevation from point BB to be 8^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary
Answers
The distance from point A to point B is 781.5 ft.
Since the angle of elevation from point A to the lighthouse is 15 degrees, use the tangent function to find the height of the lighthouse. Let x be the height of the lighthouse,
tan(15°) = x / 862
Solve for x.
x = 862 (tan(15°))
Similarly, let y be the distance from point B to the lighthouse,
tan(8°) = x / y
Solve for y.
tan(8°) = 862 (tan(15°)) / y
y = 862 (tan(15°)) / tan(8°)
y = 1643.45 feet
Subtract 862 from 1643.45 to get the distance from point A to point B.
distance from point A to point B = 1643.45 - 862 = 781.45 ft = 781.5 ft
Therefore, the distance from point A to point B is 781.5 ft.
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How is the logarithmic function y log x defined?
Answers
The logarithmic function y log x is defined as
[tex]$\log_b \text x = \text y \leftrightarrow \text b^y= \text x[/tex].
What is logarithmic function?An exponent that is expressed in a unique way is called a logarithm. As an illustration, we are confident that the exponential formula 32 = 9 is correct. In this instance, the base is 3, and the exponent is 2. The formula will be written as log3 9 = 2 in the logarithmic form.
This is expressed as "9 divided by base 3 is 2" in words. The exponent has been effectively lowered to the mainline in this case. However, despite the fact that this was done to make division and multiplication easier, logarithms are still very useful in mathematics.
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Which of the following is an equivalent ratio for the 15/24?
5/4
30/40
5/8
Answers
Answer:
5/8
Step-by-step explanation:
15/3=5 and 24/3=8
Answer:
5/8
Step-by-step explanation:
divide both by 3
Yvonne had a rope that measured 2/5 long. She
needed smaller ropes that measured 3/5 ft for a
project in her science class. How many smaller
ropes can she make from the larger rope?
Answers
Answer:
Number of smaller ropes she can make from the larger rope = 2/3
Step-by-step explanation:
Total length of rope = 2/5 ft
Length of smaller rope = 3/5 ft
How many smaller ropes can she make from the larger rope?
Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope
= 2/5 ÷ 3/5
= 2/5 × 5/3
= (2*5)/(5*3)
= 10/15
= 2/3
Number of smaller ropes she can make from the larger rope = 2/3
Tina bought 20 apples and bananas for her class. Apples cost $1.50 each. Bananas cost $1.25 each. Tina spent $28 in all. How many apples (a) and how many bananas (b) did she buy?
Answers
Answer:
She bought 10 apples and 10 bananas
Step-by-step explanation:
10 apples - $1.50 each x 10 apples = $15.00
10 bananas - $1.25 each x 10 bananas = $12.50
15.00+12.50=$27.50
x+y=28.00
1.50x+1.25y=28
What are the first three terms of a geometric sequence in which a5 = 25 and the common ratio is 5?
1
1 1
25'5'
25,125,625
1 1 1
25' 125'625
125, 25, 5
Answers
Answer: First three terms are 1/25, 1/5, and 1 in that order.
===========================================================
Explanation:
The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.
The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25
Therefore, the first five terms are:
1/25, 1/5, 1, 5, 25
As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.
The first three terms of the sequence are 0.04, 0.2, and 1.0.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
To find the first three terms of a geometric sequence, we need to use the formula for the nth term of a geometric sequence:
[tex]a_n = a_1 \times r^{n-1}[/tex]
where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term, r is the common ratio, and n is the number of the term we want to find.
We are given that,
[tex]a_5[/tex] = 25 and r = 5.
We can use this information to find [tex]a_1[/tex]:
[tex]a_5 = a_1 \times r^{5-1}[/tex]
[tex]25 = a_1 \times 5^4[/tex]
25 = [tex]a_1[/tex] x 625
[tex]a_1[/tex] = 25/625
[tex]a_1[/tex] = 0.04
Now that we have found [tex]a_1[/tex], we can use the formula to find the first three terms of the sequence:
[tex]a_1[/tex] = 0.04
[tex]a_2[/tex] = 0.04 x 5 = 0.2
[tex]a_3[/tex] = 0.04 x 5² = 1.0
Therefore,
The first three terms of the sequence are 0.04, 0.2, and 1.0.
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Find the coefficient of the $x^2$ term in the expansion of the product$$(2x^2 3x 4)(5x^2 6x 7).$$
Answers
The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).
Given equation,
[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]
= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]
= [tex]-3x^{2}-9x+3[/tex]
Hence, coefficient of [tex]x^{2}[/tex] is -3.
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Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+7 x+5
Answers
Given:
Consider the sides of the rectangle are (x+7) and (x+5) units.
To find:
The area of the entire rectangle in standard form.
Solution:
The area of the rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is width of the rectangle.
So, the area of the given rectangle is:
[tex]A=(x+7)\times (x+5)[/tex]
[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)[/tex]
[tex]A=x^2+5x+7x+35[/tex]
[tex]A=x^2+12x+35[/tex]
Therefore, the area of the rectangle is [tex]A=x^2+12x+35[/tex].
how would multiply polynomials if it was very difficult?
Answers
Step-by-step explanation:
The way that you would multiply polynomials is pretty easy. Say we had a binomial and a trinomial and we wanted to multiply them. As an example, we will use (2x + 4) (x^2 + x + 4).
You have to multiply each number with each other number. For example, we would multiply 2x by x^2, 2x by x, and 2x by 4 to get the first part of the bigger equation. These come out to being 2x^3 + 2x^2 + 8x when multiplied and added.
Then, you have to do the same thing for the 4 in the binomial. Multiply 4 by x^2, 4 by x, and 4 by 4 to get the second part of the bigger equation. These come out as 4x^2 + 4x + 16 when added and multiplied.
After both of those are done, simply add the two parts together and simplify.
2x^3 + 2x^2 + 8x + 4x^2 + 4x + 16
2x^3 + 6x^2 + 12x + 16
That is your example answer, and that is how you multiply polynomials.
Please help I really need it now!!!
Answers
Answer:
d. alternate interior angles are congruent
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent , would be in the account after 7 years?
Answers
Answer:
$8173
Step-by-step explanation:
For this problem you will use the formula P(t)=Pe^r(t). P=5800 r=4.9%=0.049
t=7 years. With using this formula you should get your answer. I hope this helps!
One of the angles of a triangle is equal to the sum of the other two. If the ratio of the
other two angles is 2:3, then the angles are ______________.
Answers
Answer:
the correct answer is 60° and 30°( for the two angles that have the ratio 2:3)
The other angle will be 90°
in a box full of oranges, apples, and pears in a ratio 2:5:6. What is the total weight of the fruits in the box if it was known that there is 4.8 lbs of oranges in the box?
Answers
Answer:
31.2 lbs
Step-by-step explanation:
Let 2x = weight of oranges
5x = weight of apples
6x = weight of pears
2x + 5x + 6x = total weight
2x = 4.8
x = 2.4
4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4
= 31.2 lbs
Having a bit of trouble. Would anyone mind helping me.
Answers
Explanation: 24/8 = 3
12/3 = 4
Easy points +Brainly (Pythagorean) Include "step by step explination" for brainly
Answers
Answer:
85 units²
Step-by-step explanation:
Add up your given areas to find the missing area using the Pythagorean Theorem:
a²+b²=c²
35+50=c²
85=c²
Therefore, the area of the blue square is 85 units²
Answer:
85 units²
Step-by-step explanation:
find the area of the figure below. use 3.14 for pie
Answers
8 • 4 = 32
And solve for the area for the triangle:
1/2 • 2 • 6 = 6
Now add up the areas:
32 + 6 = 38
38ft^2
ou have $54.75. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $79.99 and have $34.76 left. How much money do you earn mowing lawns
Answers
Answer: 60
Step-by-step explanation:
If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60
The number of girls in chorus is 5 more than 3 times the number of boys *
there are 29 girls in the school chorus, how many boys are in chones?
Please answer asappp
Answers
H)
find the exact value of sec 7pi / 4
Answers
Answer: sqrt(2)
Step-by-step explanation:
Remember that sec x = 1/cos x.
That means that sec 7pi/4 = 1/cos(7pi/4)
cos(7pi/4) = -cos(7pi/4 - pi)
= -cos(3pi/4)
cos(3pi/4) is a special angle which evaluates to -sqrt(2)/2.
Hence, -cos(3pi/4) evaluates to simply sqrt(2)/2
Since cos(7pi/4) is equal to -cos(3pi/4),
cos(7pi/4) is equal to sqrt(2)/2.
Lastly, sec 7pi/4 = 1/cos(7pi/4) , which is the reciprocal of sqrt(2)/2, that is 2/sqrt(2).
Rationalizing the answer 2/sqrt(2) gives sqrt(2)
-2/3 + y = -2 1/6
....................
Answers
Answer:
y = -3/2 or -1.5
Step-by-step explanation:
-2/3 + y = -2 1/6
-2 1/6 = -13/6
So, our equation is
-2/3 + y = -13/6
Add 2/3 to both sides
y = -3/2
So, the answer is
y = -3/2 or -1.5
Answer:
Y= -3/2
in decimal form it is -1.5
in mixed number form it is -1 1/2
Step-by-step explanation:
-50 POINTS- (Curtisqn don’t even try you’re slow.)
SSS
SAS
ASA
SAA
HL
Answers
Khalil buy 8 pound of apple for $12. 0. He want to know and ue the unit rate of cot per pound True or Fale: Uing the unit rate of the cot per pound, do 5 pound of apple cot $7. 50?
Answers
False. Using the unit rate of cost per pound, 5 pounds of apples cost $6.00.
Cost per pound = $12.00 / 8 pounds = $1.50
5 pounds of apples cost = 5 pounds x $1.50 = $7.50
The unit rate of cost per pound can be calculated by dividing the total cost of 8 pounds of apples by the total number of pounds. In this case, the unit rate of cost per pound is $1.50. This means that for every pound of apples, the cost is $1.50. To calculate the cost of 5 pounds of apples, we need to multiply the unit rate of cost per pound by the number of pounds. In this case, 5 pounds of apples cost $7.50, which is calculated by multiplying $1.50 by 5. Therefore, the statement that using the unit rate of cost per pound, 5 pounds of apples cost $7.50 is false.
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Which expression is equivalent to 7(d - 4)?
Submit
7(-4+ d)
-4(d + 7)
(d + 7).-4
-28d + 7
Answers
The phrase that is identical to 7(d - 4) in option B is -4(d+ 7). A mathematical expression is a statement that contains a minimum of two numbers .
what is expression ?A mathematical expression is a phrase having a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression is (Number/Variable, Math Operator, Number/Variable). A mathematical expression is a statement that contains a minimum of two numbers or variables and at least one mathematical operation. Let's learn how to write expressions. A number is 6 more than half of another number, and that other number is called x. In a mathematical expression, this statement is represented as x/2 + 6.
given
The correct response is 4 less than 7, since 4 is less than 7.
Thus, 7-4=3 could be considered.
The first section of 7–4 appears to be answer B.
The phrase that is identical to 7(d - 4) in option B is -4(d+ 7).
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Please help, it's much appreciated! <3333 It's midterms studying. 20 points!
A manufacturer makes trusses, or triangular supports, for the roofs of houses. Each truss is the shape of an isosceles triangle in which the sides are congruent. The length of the base is 4/3 the length of the congruent sides.
The perimeter of each truss is 60ft. Find each side length
Answers
Answer: The length of each side of the triangle is;
Equal sides, x = 21.02 = PQ = PR
QR = 28.03
Step-by-step explanation: The trusses made by the manufacturer have the shape of an isoscellestriangle and as such two congruent sides PQ ≅ PR) are equal and QR is the third side whose length is 4/3 of the congruent sides.
The perimeter of each truss is 70ft.
Let the length of each congruent side be x ft.
Therefore,
Perimeter = x + x + (4/3)x
Perimeter, p = 70 = 3.33x
x = 70/3.33
x = 21.02
Therefore, Length of QR is; QR = (4/3) x
QR = (4/3) × 21.02
QR = 28.03
What is the surface area of the pyramid?
Answers
Answer:
166 square units
Step-by-step explanation:
Let’s find the area of the shapes that in the net.
First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get 26.
Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=60. Since there are two triangles, we multiply 60 by 2 and get 120.
Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=20.
Last, we add up all the areas:
20+120+26=166.