Answer:
A = $1,742.75
A = P + I
Where
P is the principal (1,500.00)
I is the interest (242.75)
Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 1.5/100
r = 0.015 rate per year,
Then solve the equation for A
[tex]A = Pe^{rt}\\A = 1,500.00(2.71828)^{(0.015)(10)}\\A = $1,742.75[/tex]
Summary:
The total amount with compound interest on a principal of $1,500.00 at a rate of 1.5% per year compounded continuously over 10 years is $1,742.75.
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² = -64
O
A. -8
O
B. -64
0 C. 8
1
D. -4
u
E. 64
F. None of these
Answer:
F. None of these
Step-by-step explanation:
A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.
PLEASE HELP PLEASE PLEASE HELP
Answer:
Blue stars are the hottest stars.
What is the distance between points A and B?
0-6 units
-1 units
O 5 units
O6 units
Step-by-step explanation:
d 6 units .................
The distance between the points A and B is given by D = 6 units
What is the distance between two points?Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be P ( -5 , 0 )
Let the second point be Q ( 1 , 0 )
Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
On simplifying , we get
D = √ ( -5 - 1 )² + ( 0 )²
D = √ ( 6 )²
D = 6 units
Hence , the distance is 6 units
To learn more about distance between 2 points click :
https://brainly.com/question/12661159
#SPJ7
7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;
Answer:
Volume of a rectangular pyramid:
[tex]V=\dfrac13lwh[/tex]
where:
[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = heightGiven:
[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ftSubstitute given values into the formula and solve for [tex]l[/tex]:
[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]
[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]
[tex]\implies 0.1875=0.375 l[/tex]
[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]
[tex]\implies l=0.5[/tex]
Therefore, the base length is 0.5 ft
what are two variables that might be positively related to academic success?
3/4 of tom's favorite number is 36. what number is one half of tom's favorite number
Answer: 3/4 is 75%
Step-by-step explanation: Since his fav number is 36 the half of 36 is 18 bc 18 + 18 is 36
PLEASE HELP!! TRYING TO PREPARE FOR A TEST!! TOTAL 50 POINTS WHEN GIVEN BRAINLIEST ANSWER!!
Change the Cartesian integral to an equivalent polar integral, and then evaluate.
∫₋₁₁¹¹ ∫₀√⁽¹²¹⁻ˣ²⁾ dy dx
\int\limits^{11}_{-11} \int\limits^{\sqrt{121-x^{2}} } _{0} dy dx
It looks like the starting integral is
[tex]\displaystyle \int_{-11}^{11} \int_0^{\sqrt{121-x^2}} dy\,dx[/tex]
The key is recognizing the domain of integration as the semicircle centered at the origin with radius 11. In polar coordinates, this integral transforms to
[tex]\displaystyle \boxed{\int_0^\pi \int_0^{11} r \, dr \, d\theta}[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8600(0.11)^x
The function represents a decay of 88.97% per unit increase in x.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:
a is the initial value or the value of the function when x = 0
b is the base or the factor by which the function changes for each unit increase in x
Comparing this form to the given function, we can see that:
a = 8600
b = 0.11
To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.
In this case, the base (0.11) is between 0 and 1, so the function represents decay.
To determine the percentage rate of decrease, we can use the formula:
Percentage change = (new value - old value) / old value * 100%
Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:
y(1) = 8600(0.11)¹ = 946
Plugging in these values, we get:
Percentage change = (946 - 8600) / 8600 * 100% = -88.97%
Therefore, the function represents a decay of 88.97% per unit increase in x.
To learn more about percentage from the given link:
https://brainly.com/question/29306119
#SPJ1
A mechanic charges his customers $45 for every hour he works. He also charges the cost of parts.
For one job, he works 4.5 hours, and the parts cost $118. What is the total amount of money he
charges for the job?
Help with tthis photo pls T.T
Answer:
1. False
2. Not sure
3. True
Statement A
A = bh/2
34 = (10)h/2
68/10 = h
h = 6.8
FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.
Statement B
A = (d1 + d2)/2
56 = (d1 + d2)/2
112 = d1 + d2
I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.
Statement C
A = (a + b)(h)/2
24 = (7 + 9)(3)/2
48 = (7 + 9)(3)
16 = 7 + 9
16 = 16
TRUE Area of the trapezoid = 24 in².
The domain of a function g(x) is x< 2. and the range is y > 0. What range the domain and range of its inverse function, g[tex]g^-1[/tex](x)?
Answer: the answer is b
Step-by-step explanation:
Domain and ranges of inverse functions are swapped.
Domain of the original is the range of the inverse and vice versa.
Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).
Equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 36x+9
Thirty six times of x plus nine.
In the expression x is the variable and plus is the operator.
Equivalent expressions are expressions that work the same even though they look different.
The equivalent expression of 36x+9 are 9(4x+1)
and 9.4x +(9.1) we get this factoring the expression.
Now the other expression is 36x-9
Thirty six times of x minus nine.
Minus is the operator in the expression.
The equivalent expressions are 9(4x-1) and 9.4x-(9.1)
Hence, equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in of a minute. Jacob
finishes with of a minute remaining. Who ran the race in the faster time?
12
-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Answer:
-10 x 4 = -40
-21 x 5 = -105
-20 x 9 = -180
-199 X 1 = -199
AYUDAAA PORFA , se entrega a las 4 porfavorrrrrr
In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?
Answer:
Angle A = 47⁰
Step-by-step explanation:
Angle A = Angle B { equal sides have equal angles. }
so,
4x + 7 = 5x - 3
7 + 3 = 5x - 4x
10 = x
so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰
The area of the circle
Answer:
The answer would be 201.06
Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!
Answer:
200.96 mi²
Step-by-step explanation:
Before, finding the area of the circle, first, let us find the radius.
Given that,
diameter ( d ) ⇒ 16 mi
Let us use the below formula to find the radius of the circle.
d = 2r
16 = 2r
Divide both sides by 2.
8 mi = r
And let us find the area of the circle using the below formula.
A = π r²
A = π × 8 × 8
A = 3.14 × 64
A = 200.96 mi²
Solve the following equation
X = 2x+8/x
Answer:
2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
x=2x+8/x
x-2x=8/x
-x=8/x
8=-x(x)
8=-x^2
8-(-x^2)=0
8+x^2=0
x^2+8=0
x=2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
[tex]x = \frac{2x + 8}{x} [/tex]
[tex] {x}^{2} = 2x + 8[/tex]
[tex] {x}^{2} - 2x - 8 = 0[/tex]
[tex](x - 4)(x + 2) = 0[/tex]
[tex]x = 4[/tex]
or
[tex]x = - 2[/tex]
You pick a card at random
1) What is P(3)? ?
Answer:
probability=events over the sample space
Step-by-step explanation:
Jessica needs 658 cups of flour for her recipe. The box she has only has 78 cup of flour left in it.
How many more cups of flour does she need?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
5 3/4 cups.
Step-by-step explanation:
Subtract the two amounts.
6 5/8 - 7/8
Make 6 5/8 an improper fraction by multiplying the 8 and 6 then adding 5.
8 x 6 = 48
48 + 5 = 53
53/8
53/8 - 7/8 = 46/8
Convert back into a mixed number by dividing.
46/8 = 5 6/8
reduce the fraction
5 3/4
) Find the value of b for which 50y +150 is a factor of y3 – by2 +by+3b.
[tex]f(y) = y^3-by^2+by+3b\\\\\text{Since 50y+150 is a factor of f(y), }\\\\~~~~~f\left ( -\dfrac{150}{50}\right) = 0 \\\\\implies f(-3)=0 \\\\\implies (-3)^3 -b(-3)^2+b(-3)+3b =0\\\\\implies -27-9b-3b+3b=0\\\\\implies -27-9b =0\\\\\implies 9b = -27\\\\\implies b = -\dfrac{27}9\\\\\implies b = -3[/tex]
Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Given equation:
[tex]4(x+4)-10=14[/tex]
Add 10 to both sides:
[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]
Divide both sides by 4:
[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]
Subtract 4 from both sides:
[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]
Therefore, the solution is [tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.
⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14Simplify the left hand side as needed to determine the "x" variable.
⇒ 4x + 6 = 14Subtract 6 both sides to isolate the "x" variable and it's cooeficient.
⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.
⇒ 4x/4 = 8/4⇒ x = 2Thus, the value of x is 2.
i need help asap this is k 12 and 100 points
Answer:
6.8
Step-by-step explanation:
Add the numbers and divide by the amount of numbers and get 6.8
Answer: 6.8.
Step-by-step explanation: When finding the mean of a data set, you need to add all the numbers of the set, and then divide the answer by however many numbers you have on the data set. The work is done below:
14 + 7 + 2 8 + 3 = 34.
34 / 5 = 6.8, because there are 5 numbers in the data set.
Have a great day! :)
please help explain how to solve this
Answer:
C
Step-by-step explanation:
When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value
How many seconds is 3.25 hours
Answer:
a total of 11700 senconds are on 3.25 hours
A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?
Answer:
There is motlre chance that a green Ballon will be selected because green Ballon are more than orange
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The Choose is Choose. your options are for the first one is Mean or Median then for the second one is 2 inches, 2.5 inches, 3 inches, or 3.2 inches
.
The best way to describe the center of the data represented in this line plot include the following: the median is 2.5 inches.
What is a median?In Mathematics, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
Since the data set representing the amount of rainfall has an outlier, the median would be best way to describe the center of the data represented in this line plot.
First of all, we would sort the 10 observations from the least to greatest as follows:
1, 1, 2, 2, 2, 3, 3, 5, 6, 7
Median = (2 + 3)/2
Median = 5/2
Median = 2.5 inches.
Read more on median here: brainly.com/question/452652
#SPJ1
solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
[tex]x^2 -5x +6 =0\\\\\implies x^2 -3x -2x +6 = 0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-3)(x-2)=0\\\\\implies x =3, ~ x = 2[/tex]
Answer:
The value of x = 2 or 3
Step-by-step explanation:
By factorisation ,
=> x² - 5x + 6 =0
=> x² - 3x - 2x + 6 = 0
=> x ( x-3 ) -2 ( x-3 ) = 0
=> (x-2) (x-3) = 0
so, the value of x = 3 or 2
If 20 articles cost ₹ 90, then the cost of 9 articles is
Answer:
₹ 40.50
Step-by-step explanation:
Cost of 20 articles = ₹ 90
Cost of 1 article = ₹ 90/20
Cost of 9 article = 9 x 90/20 = ₹ 40.50
For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
answer:
[tex]\frac{4}{9}[/tex]
explanation:
the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.
[tex]\frac{16}{36} = \frac{4}{9}[/tex]
--
if this helped, please consider giving brainliest !
