question shown in the photo, I answered the question but I’m not sure if i’m correct, especially for part B
Answers
Given,
The money deposite, P=$1500
The rate of interest is r=3%
Time, n=5 year.
a. The amount after 5 years is,
\(A=Pe^{rn}=1500e^{0.03\times5}=1742.75\)Thus the amount is $1742.75
b. Let time taken to double the money be 2.
Thus, A=2P
So,
\(A=Pe^{rt}\Rightarrow2P=Pe^{rt}\Rightarrow2=e^{rt}\)Taking log we have,
ln2=rt
ln 2=0.03t
t=ln2/0.03=23 years
Thus the answer is 23 years.
Related Questions
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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g (x)=√-3x+6
Look at photo please
Answers
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
What is the range of the function f(x)=1/2√x?
A. all real numbers
B. all real numbers greater than but not equal to 0
C. all real numbers less than or equal to 0
D. all real numbers greater than or equal to 0
Answers
Answer:
D. all real numbers greater than or equal to 0
Step-by-step explanation:
The range is the set of y-values.
Factor the expression using the GCF. 98 - 70 =
Answers
Answer:
14 is the GCF of both 98 and 70
Find the HCF of ax3y and bx4y3
Answers
Step-by-step explanation:
First expression ...
\( = {ax}^{3} y\)
\( = a \times x \times x \times x \times y\)
Second expression.....
\( = b {x}^{4} {y}^{3} \)
\( = b \times x \times x \times x \times x \times y \times y \times y\)
HCF = common factor...
\( = x \times x \times x \times y\)
\( = {x}^{3} y\)
\(hence \: {x}^{3} y \: is \: the \: answer....\)
Answer: HCF =
x³y
Step-by-step explanation:
HCF of ax³y and bx⁴y³
ax³y = a . x . x . x . y
bx⁴y³ = b . x . x . x . x . y . y . y
Common Factors = x . x . x . y
HCF = x . x . x . y
HCF = x³y Answer
therefore, the HCF of ax³y and bx⁴y³ is x³y.
hope that helps...
note: the dot (.) represents multiplication.
What is the area of the figure ?
Answers
Answer:
27in square
Step-by-step explanation:
3 multiply 3 which is 9
9 multiply 2 which is 18
add the two square together
That is how u get 27 in square
The Hansons used 14,100 cubic feet of natural gas in November. The charge is $.42 per hundred cubic feet. How much was the natural gas bill?
Answers
How were some European Jews able to come to Georgia in the 1930s? Check all that apply.
The US government loosened its restrictions on Jewish immigration.
Officials in the Georgia state government sponsored most immigrants.
Jewish immigrants tried to help family members back in Europe escape.
Private organizations helped Jewish children and teenagers find homes.
American citizens legally agreed to be responsible for Jewish immigrants.
Jewish American activists worked to bring immigrants to the United States.
Answers
Answer:
Georgian Jews (Georgian: ქართველი ებრაელები, romanized: kartveli ebraelebi) are a community of Jews who migrated to Georgia during the Babylonian captivity in 6th century BC.[2] It is one of the oldest communities in that land.
Prior to Georgia's annexation by Russia in 1801, the 2,600-year history of the Georgian Jews was marked by an almost total absence of antisemitism and a visible assimilation in the Georgian language and culture.[3] The Georgian Jews were considered ethnically and culturally distinct from neighboring Mountain Jews.[4] They were also traditionally a highly separate group from the Ashkenazi Jews in Georgia, who arrived following the Russian annexation of Georgia.
As a result of a major emigration wave in the 1990s, the vast majority of Georgian Jews now live in Israel, with the world's largest community living in the city of Ashdod.The Georgian Jews traditionally lived separately, not only from the surrounding Georgian people, but also from the Ashkenazi Jews in Tbilisi, who had different practices and language.
The community, which numbered about 80,000 as recently as the 1970s, has largely emigrated to Israel, the United States, the Russian Federation and Belgium (in Antwerp). As of 2004, only about 13,000 Georgian Jews remained in Georgia. According to the 2002 First General National Census of Georgia, there are 3,541 Jewish believers in the country.[5] For example, the Lezgishvili branch of Georgian Jews have families in Israel, Moscow, Baku, Düsseldorf, and Cleveland, Ohio (US). Several hundred Georgian Jewish families live in the New York tri-state area, particularly in New York City and Long Island.
Answer:
C D E F
Step-by-step explanation:
got it wrong and told me the answer
For what values of x and y ( x-2 , y-3) and (2x-6 , 3 ) are equal to each other.
Answers
y is given already
\(\\ \rm\Rrightarrow 2x-6=2\)
\(\\ \rm\Rrightarrow 2x=2+6\)
\(\\ \rm\Rrightarrow 2x=8\)
\(\\ \rm\Rrightarrow x=\dfrac{8}{2}\)
\(\\ \rm\Rrightarrow x=4\)
Answer:
x = 4; y = 6
Step-by-step explanation:
Set the x-values equal to each other and the y-values equal to each other.
The first value in parentheses is an x-value, and the second value in parentheses is a y-value.
x - 2 = 2x - 6
Subtract x from both sides
-2 = x - 6
Add 6 to both sides to get x by itself on the right.
-2 + 6 = x
4 = x
y - 3 = 3
Add 3 to both sides
y = 6
Check answers for the x-value:
4 - 2 = 2(4) - 6
2 = 8 - 6
2 = 2
Check answers for the y-value:
6 - 3 = 3
3 = 3
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
Answers
100 POINTS PLUS BRAINLIEST!!!!
screenshot with problem attached below
answers must be serious
non-serious answers / incorrect answers will be deleted
(ATTACHEMENT BELOW)
Answers
Answer:
see step by
Step-by-step explanation:
a) the polynomial must be fifth degree, so it must have a \(x^5\) term, also need to have 2 additional terms (Lets add any, lets say \(x^2+8\) (notice this is totally random, just need to be under 5th degree)
So a polynomial can be
\(x^5+x^2+8\)
notice is in standard form since degrees drops from left to right.
Also notice there's an infinite amount of possible answers
b) p-q is the same as -q+p
For example, lets say
\(p=x+1\)
\(q=3x^2-5\)
\(p-q=x+1-(3x^2-5)=x+1-3x^2+5=-3x^2+x+6\)
also
\(-q+p=-(3x^2-5)+x+1=-3x^2+5+x+1=-3x^2+x+6\)
notice is the same expression.
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?
Answers
Answer:
25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Step-by-step explanation:
Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:
25 x 1 + 5 x 0 = 25
25 x 0.9 + 5 x 0.1 = 23
25 x 0.8 + 5 x 0.2 = 21
25 x 0.7 + 5 x 0.3 = 19
25 x 0.6 + 5 x 0.4 = 17
25 x 0.5 + 5 x 0.5 = 15
25 x 0.4 + 5 x 0.6 = 13
25 x 0.3 + 5 x 0.7 = 11
25 x 0.2 + 5 x 0.8 = 9
Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:
25 x 0.25 + 5 x 0.75 = 10
Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?
Answers
At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
To solve this problem
The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:
100 meters / 47.52 seconds = 25 meters / x seconds
where x is the unknown time for one lap in the 25-meter pool.
To solve for x, we can cross-multiply:
100 meters * x seconds = 47.52 seconds * 25 meters
100x = 1188
Dividing both sides by 100, we get:
x = 11.88 seconds
Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
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Given g(x) = -4c – 2, find g(-2).
Answers
\(\\ \sf\longmapsto g(x)=-4c-2\)
Then
\(\\ \sf\longmapsto g(-2)\)
\(\\ \sf\longmapsto -4(-2)-2\)
\(\\ \sf\longmapsto 8-2\)
\(\\ \sf\longmapsto 6\)
x³ ÷ 3 = y; use x = 3, and y = 1
Answers
Step-by-step explanation:
If x = 3 :
x³ ÷ 3 = y
3³ ÷ 3 = y
27 ÷ 3 = y
y = 27 ÷ 3 = 9
1. The arithmetic mean of roots of the quadratic equation x^2- 10x+16=0 is
Answers
Answer:
5
Step-by-step explanation:
x^2 - 10x + 16 = 0
factor
(x - 2)(x - 8) = 0
roots
x = {2, 8}
mean of roots
a = (2 + 8) /2
a = 5
Find a potential function for the vector field
Answers
(a) We want to find a scalar function \(f(x,y,z)\) such that \(\mathbf F = \nabla f\). This means
\(\dfrac{\partial f}{\partial x} = 2xy + 24\)
\(\dfrac{\partial f}{\partial y} = x^2 + 16\)
Looking at the first equation, integrating both sides with respect to \(x\) gives
\(f(x,y) = x^2y + 24x + g(y)\)
Differentiating both sides of this with respect to \(y\) gives
\(\dfrac{\partial f}{\partial y} = x^2 + 16 = x^2 + \dfrac{dg}{dy} \implies \dfrac{dg}{dy} = 16 \implies g(y) = 16y + C\)
Then the potential function is
\(f(x,y) = \boxed{x^2y + 24x + 16y + C}\)
(b) By the FTCoLI, we have
\(\displaystyle \int_{(1,1)}^{(-1,2)} \mathbf F \cdot d\mathbf r = f(-1,2) - f(1,1) = 10-41 = \boxed{-31}\)
\(\displaystyle \int_{(-1,2)}^{(0,4)} \mathbf F \cdot d\mathbf r = f(0,4) - f(-1,2) = 64 - 41 = \boxed{23}\)
\(\displaystyle \int_{(0,4)}^{(2,3)} \mathbf F \cdot d\mathbf r = f(2,3) - f(0,4) = 108 - 64 = \boxed{44}\)
(2x^2-9x-5) \div(x-5)
Answers
Answer:2x+1
Step-by-step explanation:
Click on the measure of the gangle.
Answers
Answer:
34
Step-by-step explanation:
The bottom line is at 180
The top line is at 146
180-146 =34
If Oscar can make 5 doughnuts every 2 minutes, exactly how many minutes
would it take him to make 36 doughnuts?
Answers
reduce the following ratio to their lowest terms 1km to 250m
Answers
The ratio in their lowest terms is 4:1
What is a ratio?
A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The proportion of lemons to oranges is also 6:8.
We are given two values 1km and 250m
We known that 1km = 1000m
Hence we have to find the ratio of the value 1000m to 250m
To find the ratio just Divide the two numbers we get
1000/250
=4/1
=4:1
Hence the smallest ratio for the term is 4:1
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which angle pairs in the diagram are supplementary angles? Check all that apply.
Answers
Answer: 1 & 4 4&5 6&7
Step-by-step explanation:
Help me please. Andre and his sisters picked 105 pounds of grapes for their family's farm stand. They put the same amount of grapes into each of 30 bags. How many pounds of grapes were in each bag?
Answers
11 12 13 14 15
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?
length = (x − 8) units and width = (x − 9) units
length = (x + 9) units and width = (x + 8) units
length = (x − 6) units and width = (x − 12) units
length = (x + 12) units and width = (x + 6) units
Answers
Answer:
The results are the opposite sign of x1 and x2.
\(lenght \: = (x - 8) \: and \: width \: = (x - 9)\)
Step-by-step explanation:
\( {x}^{2} - 17x + 72 = 0\)
\(Δ = {(17)}^{2} - 4(1 \times 72)\)
\(Δ = 289 - 288 = 1\)
\(x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} \)
\(x1 = \frac{17 + 1}{2} = 9\)
\(x2 = \frac{17 - 1}{2} = 8\)
The inverse of G(x) is a function.
A. True
O B. False
G(Q
Answers
The roof is 26.0 ft wide. If the rafters are 15.0 ft long, at what angle will the rafters be laid at the eaves (in degrees)? Assume no overhang. (Round your answer to the nearest tenth of a degree.)
Answers
The angle the rafter will be laid at the eaves to the nearest tenth is 29.9 degrees.
How to find the angles of a triangle?The roof is 26.0 ft wide. The rafter are 15.0 ft long. This situations forms a triangle.
The triangle formed is an isosceles triangle. Therefore, the base angle are equal and two sides of the triangle are equal.
Hence, let's find the angle ∅ using cosine law,
c² = a² + b² - 2ab cos C
Therefore,
15² = 15² + 26² - 2(15)(26) cos ∅
225 = 225 + 676 - 780 cos ∅
225 = 901 - 780 cos ∅
225 - 901 = - 780 cos ∅
-676 = - 780 cos ∅
divide both sides by -780
-676 / -780 = cos ∅
∅ = cos⁻¹ 0.86666666666
∅ = 29.9264348666
Therefore,
∅ = 29.9 degrees.
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Arty's height is 63 inches. Arty's height is 3 inches less than 1.5 times Julian's height.
What is Julian's height in inches?
Answers
The Julian's height in inches is 44 inches.
What is height?
Height is defined in mathematics as the vertical distance separating an object's top from its base. On occasion, it is referred to as "altitude". In coordinate geometry, an object's height is calculated along the y-axis and is referred to as height.
Given:
Arty's height is 63 inches.
Suppose Julian's height is x inches.
As Arty's height is 3 inches less than 1.5 times Julian's height.
⇒ 1.5x - 3 = 63
1.5x = 63 + 3
1.5x = 66
x = 44
Hence, the Julian's height is 44 inches.
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An angle measures 8° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
41° and 49°
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Let x represent the smaller angle, then the bigger angle will be represented with x + 8:
x + x + 8 = 90°
Add like terms.2x + 8 = 90°
Subtract 8 from both sides.2x = 82°
Divide both sides by 2.x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°
The answer is:
⇨ 41 and 49Work/explanation:
If two angles are complementary, their measures add to 90°.
So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:
w + w + 8 = 90
Combine like Terms
2w + 8 = 90
2w = 82
w= 41
The other angle measures 8° more than the measure of w:
41 + 8 = 49
Hence, the angles are 41 and 49°.My age this year is multiple of 8. My age next year is a multiple of 7. How old am I?
Answers
8x + 1 = 7
y - x = 1
y = 1 + x
sub 1 + x in eqtn i
8x + 1 = 7 { 1 + x }
8x + 1 = 7 + 7x
8x - 7 = 7 - 1
x = 6
y - 6 = 1
y = 1 + 6
y = 7
So,
8x = 8 x 6 = 48
7y = 7 x 7 = 49
My present years is 48
Next year i will be 49
What is multiple?Multiple can be defined as a number that is the product of a given number and some other natural number. For example when we multiply 7 × 3=21 or 8×3 =24
Therefore my present age is 48 and next year will be 49
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