Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
59.9%
Sorry I don’t have time to explain in the middle of an exam
The rate of growth needs to be 59.9%.
The formula used to determine the future value of an investment when interest is compounded continuously is:
FV = A x [tex]e^{r}[/tex] x N
A= amounte = 2.7182818 N = number of years r = interest rateFV = future value$320,000 = $16,000 x [tex]e^{r}[/tex] x 5
Divide both sides by $16,000
20 = 5[tex]e^{r}[/tex]
Take the In of both sides
In(20) = 5r
Divide both sides by 5
r = 59.9%
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Please this urgent! I need your help in these questions, it would be very appreciated.
Answer:
3 is continous. 4 is discrete
Step-by-step explanation:
3 houses 2 terms, therefore continuing it. 4 houses 1, stopping the graph.
I might be dumb
15+10f=-12 does someone knows this one?
Answer:
f = - 2.7
Step-by-step explanation:
15 + 10f = -12
10f = -12 - 15
f = -27/10
f = - 2.7
Expand & simplify
(x+2)(x+4)
Answer:
2+6+8
Step-by-step explanation:
I hope this Helps c:
find KL , need helppp!!! please
hi answer with anything
Answer:
otay
Step-by-step explanation:
Answer:
651651616516
Step-by-step explanation:
56465
67,132 divided by 7= ?
Round your answer to the nearest tenth.
Answer:
DONE!
Step-by-step explanation:
67132/7 = 9590.28571429
Rounded to the nearest tenth: 9590.3
Answer:
9590.3
Step-by-step explanation:
finally got to answer lol
Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please
If y =9x^4 - x^3 / x^2 , then dy/dx is:
Someone please help
Answer:
[tex]\frac{dy}{dx} = 18x - 1[/tex]
Step-by-step explanation:
[tex]y = \frac{9x^{4} - x^{3}}{x^{2} }\\\\y = \frac{9x^{4}}{x^{2} } - \frac{x^{3}}{x^{2} } \\\\y = 9x^{2} - x\\\\\frac{dy}{dx} = 18x - 1[/tex]
the typicla size virus is about 0.000008 cm which can be written as 8*10n cm. what is n?
Answer:
[tex]10^{-6}[/tex]
Step-by-step explanation:
Start with 0000008.0
For each decimal place you move back, subtract the exponent (the n value of [tex]10^n[/tex]) by 1. In this case, we move back 6 places. This makes n = 6, giving us an answer of [tex]10^{-6}[/tex].
Answer: -6
Step-by-step explanation:
Write a quadratic equation whose factors are 4+3i and 4-3i.
Answer:
[tex]y=x^2-8x+25[/tex]
Step-by-step explanation:
To answer this question, we will work backwards.
We know that a factor is 4+3i. This means that:
[tex](x-(4+3i))=0[/tex]
Hence, we will eliminate the imaginary and convert this into standard form.
First, distribute the negative:
[tex]x-4-3i=0[/tex]
Add 3i to both sides:
[tex]x-4=3i[/tex]
Square both sides:
[tex](x-4)^2=(3i)^2[/tex]
Expand:
[tex]x^2-8x+16=9(-1)=-9[/tex]
Add 9 to both sides:
[tex]x^2-8x+25=0[/tex]
Hence, our quadratic equation is:
[tex]y=x^2-8x+25[/tex]
Notes:
We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.
If the volume of a cube shaped box is 795 cubic inches, which equation would you uses to determine how many 1-inch cubes could fit along one side.
Pls help ASAP
i need the answers for the seven angels
Answer:
<1=83
<2=97
<3= 83 (given)
<4=97
<5=83
<6=97
<7=83
<8=97
Step-by-step explanation:
They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.
Paul is setting up a Display of Aquariums at his Pet store. He wants to have 1/6 of a Pound of small rocks in each Aquarium. There are a Total of 2 1/3 pounds of rocks Paul can use. How many Aquariums could he fill with small rocks?
Answer:
vdsv
Step-by-step explanation:
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Two sides are congruent to each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.
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Answer:
Two sides are congruent to each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.
Step-by-step explanation:
Expand brackets 4(y+2)
Answer:
16(y+2)
Step-by-step explanation:
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
Juan’s profit for the month is ?
The negative sign represents the loss. Then the loss of Juan's will be $744.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
The profit is calculated as,
Profit = $3,256 - $4,000
Profit = - $744
The negative sign represents the loss. Then the loss of Juan's will be $744.
More about the profit is given below.
https://brainly.com/question/15036999
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Twenty-one goats were shown in the county fair. This was seven less than four times the number of horses shown. How many horses were shown? (a) Write an equation that could be used to solve the problem. (b) State the solution.
Answer:
H=horse
H=4(21-7)
Step-by-step explanation:
H=4(21-7)
H=4(14)
There were 56 horses.
If Martha and Howard are 5 hours into the marathon, how far has each person run?
Answer:
omg how dum r u the answer is 23 JK its 10
Step-by-step explanation:
(8 times 10 to the fourth power)+(4 times 10 to the fourth power)
Answer:
120,000
Step-by-step explanation:
8 times 10 to the 4th power is 80,000 and 4 times 10 to the 4th power is 40,000 and 80,000 plus 40,000 is 120,000
What does a residual value of 0.8 mean in reference to the line of best fit?
O The given point is 0.8 units above the line of best fit
O The given point is 0.8 units below the line of best fit
O The line of best fit is not appropriate to the data
O The line of best fit has a slope of 0.8
The residual value of 0.8 mean in reference to the line of best fits shows that the given point is 0.8 units below the line of best fit.
What Is Residual Value?The residual value is known to be the approximated or estimated value of any kind of fixed asset that is done at the end of its lease term or at the end of its useful life.
Note therefore that the residual value of 0.8 mean in reference to the line of best fits shows that the given point is 0.8 units below the line of best fit.
Learn more about residual value from
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Answer:
B
Step-by-step explanation:
Got it right edge 2022
Rewrite the following number in STANDARD NOTATION
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Answer:
The answer is in the 4th quadrant
Step-by-step explanation:
I really hope this helped!!! have a great day. :)
hellppp I'm slowee don't know anything
Answer: B) X=40
cuz i just know
Which of the following statements represents the distributive property?
A) 9(x + 1) = 9x + 1
B) 9(x + 1) = 9x + 9
C) 9(x + 9) = 9x + 9
D) 9(x + 1) = x + 7
Answer:
The answer to your question is B.
please need help thank you so much.
Answer:
I am not certain but I think it's y=2x+4 I don't know tho but I think that's it
Decrease £40 by 70%
plz answer and ill brainlist u!
Answer:
12
Step-by-step explanation:
Answer:
£12
Step-by-step explanation:
It's asking us to find the 30% of the 40 and to do this we multiply 40 by 30 then divide it by 100
40 × 30 ÷ 100 = 12
In a certain chemical, the ratio of zinc to copper is 3 to 16 . A jar of the chemical contains 416 grams of copper. How many grams of zinc does it contain?
Answer:
the number of grams of zinc contain is 78
Step-by-step explanation:
The computation of the number of grams of zinc contain is shown below:
Given that the ratio of zinc to copper is 3:16
And, the jar of the chemical has 416 grams copper
So, the number of zinc grams would be
here we assume the zinc grams be x
Now the equation would be
3 ÷ 16 = x ÷ 416
Now applied the cross multiplication
16x = 416 × 3
x = (416 × 3) ÷ 16
= 78
Therefore the number of grams of zinc contain is 78
Answer:
hi
Step-by-step explanation:
pog
If e^xy-y^2=e-4,
then at x=1/2 and y=2,
dy/dx=?
Answer:
If [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].
Step-by-step explanation:
Let [tex]e^{x\cdot y}-y^{2} = e-4[/tex]. At first we determine the first derivative of the function by implicit differentiation:
[tex]e^{x\cdot y}\cdot \left(y+x\cdot \frac{dy}{dx} \right)-2\cdot y \cdot \frac{dy}{dx} = 0[/tex]
[tex]y\cdot e^{x\cdot y}+x\cdot e^{x\cdot y}\cdot \frac{dy}{dx} -2\cdot y\cdot \frac{dy}{dx} = 0[/tex]
[tex]y\cdot e^{x\cdot y}= (2\cdot y -x\cdot e^{x\cdot y})\cdot \frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx} = \frac{y\cdot e^{x\cdot y}}{2\cdot y - x\cdot e^{x\cdot y}}[/tex]
If we know that [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], then the computed value of the function is:
[tex]\frac{dy}{dx} = \frac{(2)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}{2\cdot (2)-\left(\frac{1}{2} \right)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}[/tex]
[tex]\frac{dy}{dx} \approx 2.059[/tex]
If [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].
Solve : -5/3 + 2 1/3
Answer:
2/3
Step-by-step explanation:
Hope This Helps