Answer:
$20,160
Step-by-step explanation:
They don't have a year to pay it back. They have four months so you just use that as time.
Write the equation
A = 15,000 x (1 + 0.086 x 4)
( ) first.
0.086 x 4 = 0.344
rewrite.
A = 15,000 x (1 + 0.344)
( ) again.
1 + 0.344 = 1.344
rewrite
15,000 x 1.344 = 20,160
Hope this helped! Please mark as brainliest! thanks!
The student made a calculation error in converting 4 months into a year fraction. It should be 0.333..., not 0.33. With the correct conversion, the maturity value can be accurately calculated using the formula A=P(1+RT).
Explanation:
From the details that you've given, the student used the formula A=P(1+RT) correctly, where A is the maturity value of the loan, P stands for the principal amount, R for the rate of interest, and T for time.
In this question, P = $15000, R = 8.6%, and T = 4 months. The student correctly changed 8.6% to 0.086 (since percentage must be converted to decimal form by dividing by 100 in calculations) and also accurately converted 4 months into 0.33 (since the term of the loan is expressed in terms of a year).
However, the correct conversion of 4 months into year should be 4/12 = 0.333.... (since 1 year is equal to 12 months), not 0.33. So T = 0.333...
Let's plug in these values:
A = 15000(1+0.086*0.333...)
This will give you the accurate maturity value.
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Your mission is to dilate the rectangle shown below by a scale factor of 2.
Answer:
The dimensions of the dilated rectangle are 30 cm x 16 cm
Step-by-step explanation:
we know that
To find the dimensions of the dilated rectangle, multiply the original dimensions by the scale factor
so
Let
A'B'C'D'------> the dilated rectangle
z-------> the scale factor
we have
z=2
A'B'=AB*z=15*2=30 cm
B'D'=BD*z=8*2=16 cm
The dimensions of the dilated rectangle are 30 cm x 16 cm
mari is standing 50 feet from the base of a building. From where he stands, the angle formed between the top of the building and the ground at his feet is 60°.
Answer:
Your answer will be...
Step-by-step explanation:
50 square root of 3 ft
Does the rule y=-3*2^x represent a linear or an exponential function?
Answer:
its exponential because the parent function is y=(a)(b)^x
Step-by-step explanation:
Final answer:
The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.
Explanation:
The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.
The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.
can someone help me out asap 13
Answer:
180m^2
Step-by-step explanation:
5 x 3 x 12 = 180m^2
Answer:
I believe the answer is 150m
Step-by-step explanation:
What does alabama have that most students would like to have
4 a’s and only 1 b :)
4 is a and only 1 b , your welcome
Factor 16w^4+16w^2-140
Find the Greatest Common Factor (GCF)
GCF = 4
Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)
4(16w^4/4 + 16w^2/4 - 140/4)
Simplify each term in parenthesis
4(4w^4 + 4w^2 - 35)
Split the second term in 4w^4 + 4w^2 - 35 into two terms
4(4w^4 + 14w^2 - 10w^2 - 35)
Factor out common terms in the first two terms, then in the last two terms.
4(2w^2(2w^2 + 7) - 5(2w^2 + 7))
Factor out the common term 2w^2 + 7
= 4(2w^2 + 7)(2w^2 - 5)
There are 4 pennies, 2 nickels, 5 dimes, and 5 quarters in a jar. The probability that a random selected coin is a penny is 1/4. Is this experimental or theoretical probability
Answer:
Theoretical
Step-by-step explanation:
There are 4 pennies out of 16 coins, so the probability is 4/16, which reduces to 1/4. This is based on the beginning situation, not on the results of an experiment, so it is the theoretical probability. Theoretically, you have a 1/4 chance of pulling a penny, but that isn't necessarily what will happen.
Which of these is a complex number?
A.
B.
C.
D.
Answer:
option D
[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]
Step-by-step explanation:
Given in the question are 4 number
5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]
2 - [tex]\frac{1}{\sqrt{11} }[/tex]
9 + [tex]3\sqrt{\frac{5}{2} }[/tex]
[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]
A Complex Number is a combination of a Real Number and an Imaginary Number
Examplea + ib
where a is real number
b is imaginary number
i is 'lota' which is √-1
So according to the definition above[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which
[tex]\frac{8}{3}[/tex] is real part
[tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part
Answer:
D. 8/3+ sqrt-7/3
Step-by-step explanation:
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.
ANSWER
[tex]4,8,14[/tex]
EXPLANATION
Let the first number be
[tex]x[/tex]
Then the second number will be
[tex]2x[/tex]
and the third number is
[tex]2x + 6[/tex]
The sum of these numbers is 26.
This implies that;
[tex]x + 2x + (2x + 6) = 26[/tex]
Group similar terms;
[tex]x + 2x + 2x = 26 - 6[/tex]
Simplify;
[tex]5x = 20[/tex]
Divide both sides by 5
[tex]x = \frac{20}{5} [/tex]
This gives us;
[tex]x = 4[/tex]
The numbers are:
[tex]4,8,14[/tex]
Function k has a parent function. The table shows some ordered pairs that belong to k.
Answer:
C
Step-by-step explanation:
In the table -1 and 1 are equal to 5, which is also shown in C.
Since k is a transformed function, a graph that shows the parent function of k is: C. graph C.
Generally speaking, a function can be stretched by multiplying it with the absolute value of a numerical value that is either greater than 1 or less than -1.
Additionally, you should multiply the x-variable with the shrink or stretch factor when compressing (shrinking) or stretching a function horizontally.
Since the numbers 1 and -1 both yield the same output value, it ultimately implies that the graph of the parent function must be a parabola and a quadratic function;
As x decreases from -1, k(x) would increase.
As x increases from 1, k(x) would increase.
Missing information:
Function k has a parent function. The table shows some ordered pairs that belong to k.
Which graph shows the parent function of k?
A mosaic is made from 25 pieces each piece is a parallelogram as shown in the figure what is the total area of the mosaic?
Answer:
Step-by-step explanation:
Unless there is something special about this, the answer is 25 times the area of 1 parallogram.
Area of 1 parallelogram = Base * Height
Base = B = 5.3 cm
Height = H = 3.3 cm
Area = B*H
Area = 5.3 * 3.3
Area = 17.49
There are 25 pieces.
Total Area = 25 * 17.49
Total Area = 437.25 cm^2
True or False. You have to flip the inequality symbol in this problem:
-3x < 15
True
False
You can multiply both sides of an inequality by the same, nonzero number, but if this number is negative, you have to flip the sign.
In this case, in order to solve for x, you have to divide by -3 (i.e. multiply by -1/3), so yes, you must switch the sign:
[tex]-3x<15 \implies x>-5[/tex]
Alternatively, you may add 3x to both sides:
[tex]0<3x+15[/tex]
Subtract 15 from both sides:
[tex]3x>15[/tex]
And divide both sides by 3:
[tex]x>5[/tex]
The sign switch here was hidden behind the fact that we switched the two sides of the inequality
what is the experimental probability of rolling a sum of 7 or 11?
Answer:
1/6
Step-by-step explanation:
The sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
Please help. I would really appreciate it.
[tex]f(x) = 3 {x}^{2} + 5x + 1 \\ \\ \frac{f(x + h) - f(x)}{h} \\ \\ \frac{(3(x + h)^{2} + 5(x + h) + 1) - (3 {x}^{2} + 5x + 1 }{h} \\ \\ \frac{(3( {x}^{2} + 2xh + {h}^{2}) + 5x + 5h + 1) - 3 {x}^{2} - 5x - 1}{h} \\ \\ \frac{3 {x}^{2} + 6xh + 3 {h}^{2} + 5x + 5h + 1 - 3 {x}^{2} - 5x - 1 }{h} \\ \\ \frac{6xh + 3 {h}^{2} + 5h}{h} \\ \\ \frac{h(6x + 3h + 5)}{h} \\ \\ = 6x + 3h + 5[/tex]
On average, how much more is the total cost of owning a cat for 10 years than owning a small dog for 10 years?
Answer:
Its 960
Step-by-step explanation:
Although the total cost depends on various factors, generally, owning a small dog tends to be more expensive than owning a cat, mostly due to additional expenses like training, grooming, and potential healthcare costs.
Explanation:The question is about the average total cost difference between owning a cat and a small dog for a decade. This can be a complex calculation as different cost factors need to be considered, such as food, vaccinations, regular vet care, grooming etc. However, with the given information, we are unable to compute the exact difference. At this stage, a proper figure cannot be provided due to lack of the essential data about the yearly costs for each pet. However, on average, it is generally considered that owning a small dog can be more expensive than owning a cat due to additional expenses like training, grooming, and potentially higher healthcare costs.
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What is the measure of angle x? Enter your answer in the box. x = ° Two perpendicular lines intersected by a third line, which goes from upper left to lower right. The angle formed on the left side of the figure by the diagonal line and the vertical line is labeled 42 degrees, and the angle formed on the right side of the figure by the diagonal line and the horizontal line is labeled x.
Two perpendicular lines make right angles which equal 90 degrees.
X = 90 - 42 = 48 degrees.
John wrote 1/5 of a paper in 1/4 of an hour how long did it take him to write an entire paper?\
Answer:
2 hours and 5 minutes.
Step-by-step explanation:
1 hour and 15 minutes. A quarter of an hour is 15 minutes. A full paper would be 5/5. So you would take 15x5 which would give you 75 minutes or an hour and 15 minutes
A used car dealer estimates that 40% of his customers will buy sedans. If he sells 26 sedans, about how many total cars would he expect to sell?
Answer:
10.4, or 10 if rounding.
Step-by-step explanation:
26 * .4 = 10.4
A car dealer expected to sell 10.4 ≈ 10 sedans.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A used car dealer estimates that 40% of his customers will buy sedans.
If he sells 26 sedans,
total cars he would have expected to sell,
= 26 x 40/100
= 10.4
≈ 10
Therefore, he expected 10 sedans to sell.
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Write and solve a real-world problem for 9 divided by 1/8. Then explain the meaning of the quotient.
Answer:
Mike went 9 miles on 1/8 of a tank of gas, how many miles can he go with his full tank.
Then to solve this, we would divide 9 by 1/8
9 ÷ 1/8 = 72
a store increased its prices on computers by 12%. If p represents the regular price of computers, what expression could be used to find the new prices of computers?
Answer:ayy but imma rapper follow me on souncloud kid ice pvt
Step-by-step explanation:
To find the new prices of computers after a 12% increase, use the expression p + 0.12p or 1.12p.
Explanation:To find the new prices of computers after a 12% increase, you can use the expression p + 0.12p. This expression represents the regular price p plus 12% of p. Simplifying this expression, we get 1.12p as the new prices of computers.
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For the function F(x) = 1/x, whose graph is shown below, what is the relative value of F(x) when the value of x is close to zero?
A - Either a very large positive or very large negative number
B.A very small positive number
C. Only a very large positive number
D.Only a very large negative number
E.Either a very small positive or very small negative number
Now I need help with this one please I’m really bad at math
Betsy spent 26 days traveling in Europe. How many hours did she spend traveling in Europe.
A solid is composed of squares and equilateral triangles. It’s net is shown below:
The area of each triangle is 4 square units. The surface area of the triangular prism is __ square units. (Input whole number only)
PLEASE ANSWER QUICKLY!
Answer:
35 square units
Step-by-step explanation:
The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:
2 Equilateral Triangles3 SquaresThe Area of each triangle is 4 square units. So we need to calculate the area of the squares.
Side length of square = 3 units
Area of square = Length² = 3² = 9
Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares
= 2(4) + 3(9)
= 8 + 27
= 35 square units
Surface Area of Given Solid = 35 square units
Answer:
The surface area of the triangular prism is 35 square units
Step-by-step explanation:
It is given that,A solid is composed of squares and equilateral triangles
The area of each triangle is 4 square units
To find the surface area of solid
From the figure we get,
Surface area = Area of 2 triangle + area of 3 squares
There are 2 triangles with area = 4 square units
Area of 2 triangle = 2 * 4 = 8 square units
There are 3 squares with side = 3 units
Area of 1 square = 3 * 3 = 9 square units
Area of 3 squares = 3 * 9 = 27 square units
Surface area = 8 + 27 = 35 square units
The surface area of the triangular prism is 35 square units
LMK ASAP...... 10 POINTS
Answer: The correct answer is 15 according to my work that I have done.
Step-by-step explanation:
* Here is all the all information you'll need just in case.
* Hopefully this helps:) Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
The correct answer is option 3
arc length = 7.5π
Step-by-step explanation:
It is given a circle with central angle ADC = 45° and radius = 30 cm
To find the length of arc ABC
From the figure we can see that the central angle of arc ABC = 45°
Therefore the arc length = (45/360) * Circumference
To find the circumference
Circumference = 2πr = 2 * π * 30 = 60π
To find the arc length
Arc ABC = (45/360) * 60π= 7.5π
Therefore arc length = 7.5π
The correct answer is option 3
On Tuesday the Baker makes a total of 60 muffins. How many blueberry muffins does the baker make on Tuesday.
Answer:
60
Step-by-step explanation:
This question is super common sense which probably makes you
want to rethink the simple answer. Very plainly it says: Tuesday the Baker makes a total of 60 muffins. It doesn't tell us what "kind" of muffins they
are or are not. So then it asks how many "blueberry" muffins does the Baker bake on Tuesday.
They are only giving us one number that the Baker bakes on Tuesday and that number is 60
(f(x) = 0.5x2 - 2) + (g(x) = 8x3 + 2)
Answer:
Final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]
Step-by-step explanation:
Given functions are [tex]f\left(x\right)=0.5x^2-2[/tex] and [tex]g(x)=8x^3+2[/tex]
Now we need to add both functions:
[tex]f(x)+g(x)[/tex]
[tex]=(0.5x^2-2)+(8x^3+2)[/tex]
[tex]=0.5x^2-2+8x^3+2[/tex]
[tex]=0.5x^2+8x^3-2+2[/tex]
combine like terms -2 and +2
[tex]=0.5x^2+8x^3[/tex]
Hence final answer is [tex]f(x)+g(x)=0.5x^2+8x^3[/tex]
Answer:
[tex] f ( x ) + g ( x ) = 8 x^3 + 0.5 x ^2 [/tex]
Step-by-step explanation:
We are given the following two functions and we are to find their sum:
[tex] f ( x ) = 0.5 x ^ 2 - 2 [/tex]
[tex] g ( x ) = 8 x ^ 3 + 2 [/tex]
Adding the two given functions to get:
[tex] f ( x ) + g ( x ) = 0.5 x ^ 2 - 2 + 8 x ^ 3 + 2 [/tex]
Rearranging them to solve further:
[tex]f(x)+g(x) =8x^3+0.5x^2+2-2[/tex]
So finally we get:
[tex]f(x)+g(x) =8x^3+0.5x^2[/tex]
Drawing A Red Tile From A Bag And Then Drawing A Green Tile After Replacing The First Tile. Dependent Or Independent?
Answer:
Independent
Step-by-step explanation:
with replacement the total number of tiles will always remain the same,i.e the sample size will not be changed. so the events are independent.
Drawing a red tile from a bag and a green tile after replacing the first tile are independent events because the composition of the bag remains unchanged, meaning the probability of drawing the green tile remains constant.
When drawing a red tile from a bag and then drawing a green tile after replacing the first tile, the two events are considered independent. The outcome of drawing the green tile does not depend on the outcome of drawing the red tile. This is because when the first tile is replaced, the composition of the tiles in the bag remains unchanged, resulting in the probability of drawing a green tile being the same regardless of the previous draw. This is known as sampling with replacement.
If, however, the first tile was not replaced, the events would then be dependent, because the removal of the red tile would alter the composition of the bag, affecting the probability of drawing a green tile on the second draw. This is referred to as sampling without replacement. An example of dependent events is a scenario where if a bag contains four blue and three white marbles, and a marble is drawn and not replaced, the probability of drawing a marble of a particular color would change for the second draw.
The function k(x) = (g x h)(x) is graphed below, where g is an exponential function and h is a linear function. If h(x) = x + 1, which option below give the formula for g? h(x) = 2x h(x) = –2x h(x) = –2–x h(x) = 2–x
Answer:
The graph of your question is attached in the picture below.
g(x) = 2^(-x)
Step-by-step explanation:
First of all, we use a graphing tool to plot each of the equations.
If we multiply in the plotter each graph, we can easily see which is the correct option.
h(x) =x+1
g(x) = 2^-x
Answer:
h(x)=-2^-x
Step-by-step explanation:
What is the value of k?
Please answer ASAP, Thank you :)
Answer:
k = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ZYM is an exterior angle of the triangle and
∠'s YZX and ZXY are the 2 opposite interior angles, hence
4k + 5 + 6k + 10 = 115
10k + 15 = 115 ( subtract 15 from both sides )
10k = 100 ( divide both sides by 10 )
k = 10
Answer:
k=10
Step-by-step explanation:
∠ZYX= 180-115= 65 these are supplementary angles adding up to 180°.
The interior angles in the triangle should add up to 180°
Adding the values and then equating to 180° we get the following equation.
65+(4k+5)+(6k+10)=180°
simplifying we get: 80+10k=180
10k=180-80
10k=100
k=10