Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? Use the model A ( T ) = P e^rt and round to the nearest tenth of a year.
It will take approximately ____ years for the investment to grow to $10,000.
.
Answer:
7
Step-by-step explanation:
sing the equation > A = Pe^rt
20000 = 10000e^0.1t > 10% = 0.1
2 = e^0.1t
log 2 = log e^0.1t > log to the base e
log 2 = 0.1t * 1 log e to the base e =1
0.6931 = 0.1t
t = 6.931
= 7 years
Hope this helps <3
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Question 8 of 10
What is the sum of the roots of the polynomial shown below?
f(x) = x3 + 2x2 – 118 - 12
Answer here
Answer: y=x3+2x2−130
Step-by-step explanation:
Hope this helps!
can someone help me please
Step-by-step explanation:
11.
[tex] \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } [/tex]
[tex] \frac{4x}{x + 4} [/tex]
12.
[tex] \frac{ \frac{ {x}^{2} - 1 }{x} }{ \frac{(x - 1) {}^{2} }{x} } [/tex]
[tex] \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } [/tex]
[tex] \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } [/tex]
[tex] \frac{x + 1}{x - 1} [/tex]
13.
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } [/tex]
[tex] - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } [/tex]
14.
[tex] \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } [/tex]
[tex] \frac{3x - 1}{3} [/tex]
Which is the graph of 4x + 2y < 3? On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded.
Answer:
it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.
y<-2x+3/2
-2 = m and the y-intercept is 3/2
Step-by-step explanation:
Answer:
The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3
Step-by-step explanation:
Add the Following Fractions:
\large \frac{7}{16}+\frac{5}{16}=?
a. 80/112
b. 12/32
c. 12/16 = 3/4
d. 35/16
Answer: C, 3/4 And it's decimal form is 0.75
Step-by-step explanation:
You want to buy a $239,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for
the rest
a) How much is the loan amount going to be?
b) What will your monthly payments be if the interest rate is 5%?
$
c) What will your monthly payments be if the interest rate is 6%?
Submit Question
3
1
O
A
оо
Answer: a) 191200 b) 557.67 c) 562.98
Step-by-step explanation:
a) 239000 times .8 (aka 80%) = 191200
b) 191200/(12 times 30) = 531.11
531.11 times 1.05 (5%) = 557.667
Round to nearest cent: 557.67
c) 191200/(12 times 30) = 531.11
531.11 times 1.06 (6%) = 562.978
Round to nearest cent: 562.98
Math what is the range of the absolute value function
Answer:
The choose C.
I hope I helped you^_^
PLEASE HELP ME!
A box P contains five cards labeled with numbers 1, 2, 4, 5, 7 and a box Q contains five cards labeled S, I, H, A, T. A card is chosen random at boxes P and Q respectively. Verify conjecture about the formula of probability of getting prime number and a vowel letter by listing all the possible outcome.
please help brainliest to correct answer
Answer:
2nd one
Step-by-step explanation:
as it is a negative number so the point on the number line should move backwards
9. ax + by = (a - b), bx - ay = (a + b)
Answer: give me brainliest
Step-by-step explanation:
ax+by=a-b
ax=a-b-by
x=a-b-by/a←
bx-ay=a+b
substituting
b(a-b-by/a)-ay=a+b
ab-b²-b²y/a-ay=a+b
ab-b²-b²y-a²y/a=a+b
ab-b²-(b²+a²)y=a²+ab
-(b²+a²)y=a²+ab-ab+b²
(b²+a²)y=-(a²+b²)
y=-(a²+b²)/a²+b²
y=-1←
substituting value of y
x=a-b-b(-1)/a
x=a-b+b/a
x=a/a
x=1
20 - (30 -50) x 10
= 20 - (-20) x 10
= 20 - 20 x 10
= 0 x 10
= 0
where is the mistake?
Answer:
20-(30-50)×10
20 - × - 20 ×10
20+20×10
20+200
220
Don’t pay attention to number 6 I just need help with number 5.
State if the given binomial is a factor of the given polynomial.
(2x^3+16x^2+22x-40) + (x+4)
Answer: Yes, (x+4) is a factor of the given polynomial.
==========================================================
Explanation:
We can use the remainder theorem here.
Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.
The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.
Then plug this k value into the p(x) polynomial given
p(x) = 2x^3 + 16x^2 + 22x - 40
p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40
p(-4) = 2(-64) + 16(16) + 22(-4) - 40
p(-4) = -128 + 256 - 88 - 40
p(-4) = 0
This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).
Find m<1 if m<CUB = 78
[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]
[tex]\\ \sf\longmapsto m<1+48=78[/tex]
[tex]\\ \sf\longmapsto m<1=78-48[/tex]
[tex]\\ \sf\longmapsto m<1=30[/tex]
Solve the formula for the specified variable P=wm
Answer:
below
Step-by-step explanation:
I'm not sure what variable you want to solve for but I'll solve for w and m if needed.
p = wm
~Divide w to both sides
p/w = m
p = wm
~Divide m to both sides
p/m = w
Best of Luck!
The price of an item has been reduced by 65%. The original price was $79. Find the price of the item now.
Graph step by step:
f(x)=-2x+1
Step-by-step explanation:
Root:(1/2, 0)
Domain: x∈R
Range: y∈R
Vertical intercept: (0, 1)
Please I need help the picture below with the options
9514 1404 393
Answer:
(B) Function 2
Step-by-step explanation:
We can compute the slope of Function 2 using the slope formula.
m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.
m = (0.2 -0.8)/(3 -2) = -0.6
The slope of Function 1 is about ...
-3/7 ≈ -0.43
The slope of Function 2 is more negative.
__
On a graph, the line representing function 2 has a steeper downward slope.
Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes_____ hours for the number of bacteria to increase to 300.
Answer:
It takes 45 hours for the bacteria to triple the initial amount
Answer:
45 HOURS IS CORRECT
Step-by-step explanation:
Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
Answer:
a = 3 and b = 2
Step-by-step explanation:
From completion of squares:
[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]
a is 3
b is 2
Answer:
Answer B : a = 3 and b = 2
Step-by-step explanation:
Give man above brainlyiest he deserives it
Graph the equation.
2x + 3y = 12
The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?
Step-by-step explanation:
Formula for finding midpoint of a line segment :
[tex] (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
you should have both the points of line segment.Just subtitute points in the formula and determine mid points.
Note: if you have any question about it you can freely ask. Thanks
Given: Circle W W (-4, 6) Radius = 10 Units Which point lies on circle W?
The solution is : Option A is correct; Point Q is outside circle W
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
If the circle is given as having center W, this means the radius starts from point W and ends at any point on the circumference.
The radius has been given as 5 units, and this also means any measurement from point W to the circumference is either equal to or less than the radius which is 5 units.
Any measurement that is greater than 5 would be outside of the circumference.
we have,
Point Q is 6 units away from point W, therefore point Q is outside the circumference, that is, outside circle W.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
complete question:
Circle W has a center of point W and a radius of 5 units. Point Q is 6 units away from point W. Where is point Q?
A)outside circle W
B)inside circle W
C)on circle W
D)cannot be determined
The student body of 125 students wants to elect a president, vice president, and secretary. How many possible results are there?
What’s is the length of side b?
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto B^2=45^2-27^2[/tex]
[tex]\\ \sf\longmapsto B^2=2025-729[/tex]
[tex]\\ \sf\longmapsto B^2=1296[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{1296}[/tex]
[tex]\\ \sf\longmapsto B=36[/tex]
Answer:
[tex]\displaystyle 36 = b[/tex]
Step-by-step explanation:
The scale factour is [tex]\displaystyle 4\frac{1}{2},[/tex]so multiply 8 by 4½:
[tex]\displaystyle 36 = [4\frac{1}{2}][8][/tex]
Now, the way you can tell that this is the scale factour is by our MAGIC NUMBER, 10. If you divide both hypotenuses, you will get 4½:
[tex]\displaystyle 4\frac{1}{2} = 45 \div 10[/tex]
From here, you already know you must multiply 8 by this scale factour.
I am delighted to assist you at any time.
Formula to find perimeter of rectangle
Hey there!
The formula to find the perimeter of a rectangle is "P=2(l+w)".
Hope this helps!
Have a great day! :)
Answer:
formula to find the perimeter of rectangle is
2(l+b)hope it helps
stay safe healthy and happy.
Which equation has no solution?
4(х + 3) 2x = 6(х + 2)
5 + 2(3 + 2x) = x4 3(х + 1)
5(х + 3) +х= 4(х + 3) + 3
4 + 6(2 + х) = 2(3х + 8)
Answer:
2? equation does not have a solution
Step-by-step explanation:
16. If there are 15 girls and 45 boys in a class. Then, find the percentage of boys and girls.
Answer:
25% and 75%
Step-by-step explanation:
15+45=60
girl = [tex]\frac{15}{60} *100[/tex] = 25%
boy = [tex]\frac{45}{60} *100[/tex] = 75%
A
person that weighs 150 pounds on
Earth will weigh 25 pounds on the Moon.
How much will a 90-pound person weigh
on the Moon?
A. 10 lb
B. 12 lb
C. 15 lb
D. 20 lb
Answer:
Step-by-step explanation:
Ans:15 lb
A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.
11. Which of the following is an example of a rational number?
13. Solve 5x² - 6x + 1 = 0 using the quadratic formula.
please help me and show work
Answer: x= 1, [tex]\frac{1}{5\\}[/tex]
Step-by-step explanation:
The quadratic equation is
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
and
[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So we just need to sub in the proper numbers from the equation given, in this case, it would result in
[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
and
[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers
x= 1, [tex]\frac{1}{5\\}[/tex]