Answers
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
Answer:
Step-by-step explanation:
Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:
[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to
[tex]A=10,000e^{.1[/tex] which simplifies a bit more to
A = 10,000(1.10517) so
A = 11,051.71 Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:
[tex]20,000=10,000e^{.05t[/tex] Begin by dividing both sides by 10,000 to get
[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:
ln(2) = .05t and
t = 14 years (that's 13.8 rounded up to the nearest year)
Related Questions
I need help with this question
v2–2v–24
Answers
Answer:
(v - 6)(v + 4)
Step-by-step explanation:
v² - 2v - 24
v² + 4v - 6v - 24
v(v + 4) - 6(v + 4)
(v - 6)(v + 4)
. A man travels 13km by bus , 8km by car and y km by train . If the man has to travel a total of 30 km , find y. *
Answers
Answer:
9km
Step-by-step explanation:
30-(13+8)=9km
I hope you understand
1. Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?
Answers
Answer:
.20$
Step-by-step explanation:
4 1/2=4.5
4.5 divided by 22.50=.20
Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?
.20cents
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
Answers
Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
Please answer correctly to get brainliest
Answers
Answer:
Step-by-step explanation:
This is only my guess, as I haven’t done this topic in a few months
A. 398/427
0.93
B. 123/1192
0.10
C. 339/403
0.84
Hey guy, can yall please help me?
Answers
Answer:
x is greater than or equal to 3
Step-by-step explanation:
x ≥ 3
x is greater than or equal to 3
so you got the plot right
Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then find the scale factor of the dilation.
A : Reduction scale factor 1/14
B : Enlargement; scale factor 14
C : Enlargement scale factor 0.5
Answers
Answer:
A.
Step-by-step explanation:
we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.
and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?
7 × s = 0.5 = 1/2
s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14
=> answer A is correct
The dilation from the figure on the left to the figure on the right is a reduction.
Reduction scale factor 1/14.
The correct option is A.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
We have given that two figures.
The dilation from the figure on the left to the figure on the right is a reduction.
And the scale factor is,
= actual / scale
= 1/(7 / 0.5)
= 1/14
Therefore, the scale factor is 1/14.
To learn more about the scale factor;
https://brainly.com/question/29464385
#SPJ2
Please help me I’ll mark as brainliest.
Answers
Answer:
Step-by-step explanation:
6x² + 108x + 707 = 5
Subtract 707 from both sides
6x² + 108x = 5 - 707
6x² + 108x = - 705
Divide the whole equation by 6
[tex]\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\[/tex]
Divide 18 by 2 = 9
Add 9² to both sides
x² + 18x + 9² = -117 + 9²
x² + 18x + 81 = -117 + 81
(x + 9)² = - 36
Answer:
(x + 9)^2 = -36
Step-by-step explanation:
6x^2 + 108x + 707 = 5
6x^2 + 108x = -702
x^2 + 18x = -117
x^2 + 18x + (18/2)^2 = -117 + (18/2)^2
x^2 + 18x + 81 = -117 + 81
(x + 9)^2 = -36
Of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange. What fraction of the teacups are either blue or orange?
Answers
Answer: 1/6
Step-by-step explanation:
This is a question that has to do with the addition of a fraction. Since we are given the information that of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange.
Then, the fraction of the teacups that are either blue or orange will be calculated as:
= 1/12 + 1/12
= 2/12
= 1/6
Therefore, the fraction of the teacups that are either blue or orange is 1/6.
Select the graph that would represent the best presentation of the solution set.
|xl > 5
Answers
Find the slope of the line through the points(-4,-7) and (4,3)
Answers
Answer:
4/5
Step-by-step explanation:
The first point (-4, -7) lies in the third quadrant and the second one in the first quadrant. This tells us immediately that the slope is positive; y increases as x increases. The change in x is 4 - (-4), or 8; this is the 'run.' The change in y is 3 - (-7), or 10; this is the 'rise.'
Thus the slope of this line is m = rise/run = m = 8/10, or m = 4/5
Don’t need to send the math or anything just need the answer will give brainliest!!!
Answers
Answer:
920
Hope that this helps!
Kevin correctly answered 75% of 32 test questions.
Part A
How many questions did Kevin answer correctly?
Part B
How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answers
Answer:
part a-24 questions
part b-2 or 3 more questions
Step-by-step explanation:
part a-to find the number, change the percent into a decimal (.75) and multiply (24)
part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)
A typical serving of fish is 4 ounces. What is this serving size in grams?
Answers
Answer:
the answer is 113.398 grams
4 ounces is 113.398 in grams
Can someone help
Write an equivalent expression for
63.62.65.6.
Answers
When multiplying the same number raised to different powers add the powers together.
3 + 2 + 5 = 10
Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:
10 + 1 = 11
Answer: 6^11
Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number.
Answers
Answer:
283 people went this year to the stadium.
Step-by-step explanation:
Let's put this data into pieces so it's less overwhelming.
Last year 260 students went to the prom.
Currently the number of students who attended has increased by 9% from last year.
And the question is asking how many students attended this year?
Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?
0.09 * 260 = 23.4
260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.
I need some help; if you don't know the answer, don't answer
Answers
Answer:
B is the right answer and if you want learn this, than learn algebric expression
The rule g = b + 3 expresses the relationship between the
number of girls g and the number of boys b in a classroom.
Rewrite this rule another way.
Answers
Answer:
g = 3 + b
b + 3 = g
3 + b = g
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
Rewriting the rule so 'b' would be the subject:
[tex]g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}[/tex]
Hope this helps.
find'x' 2log_5x = 1+log_5(x-6/5)
Answers
Answer:
x = 2 and x = 3
Step-by-step explanation:
Formulas used :
[tex]log_5 \ 5 = 1[/tex]
[tex]log_5 \ x + log_5 \ y = log_5 \ (xy)[/tex]
[tex]log_5 \ x = log_5 \ y => x = y[/tex]
Steps :
[tex]2 \ log_5 \ x = 1 + log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ 5+ log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ ( 5(x - \frac{6}{5} ))\\\\x^2 = 5(x - \frac{6}{5})\\\\x^2 = 5x - 6\\\\x^2 - 5x + 6 = 0\\\\x^2 - 2x - 3x + 6 = 0\\\\x(x - 2 ) - 3 (x - 2) = 0\\\\(x - 3)(x-2) = 0\\\\x = 3 , x = 2[/tex]
Please help I’ll give brainliest
Answers
Answer:
v = 27,000 mm³
Step-by-step explanation:
v = s³
v = 30³
v = 27,000 mm³
Please help my teacher will kill me
Answers
2nd image: since those angels are parrelled they’re the same number, so you just need to solve the equation.
6x+2=56
6x=54
6x/6 = 54/6
x=9
hope that helps!
Suppose the hypotenuse of a right triangle is 13 cm and one of the legs is 10 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg.
Answers
Answer:
3
Step-by-step explanation:
Pythagorean rule
[tex]hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp[/tex]
opp=13-10
opp=3
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31
Answers
Answer:
y = (-1/2)x + 21/2
Step-by-step explanation:
Given equation:
y - 2x + 7
Coordinates = (5,8)
Find:
Perpendicular equation
Computation:
y = mx + c
y - 2x + 7
y = 2x - 7
So,
m = 2
The negative reciprocal of 2 is -1/2
So,
For,
Coordinates = (5,8)
y = mx + c
8 = (-1/2)(5) + c
8 = -5/2 + c
c = 8 + 5/2
c = 21 /2
So,
y = mx + c
y = (-1/2)x + 21/2
1)Rút gọn:
(√9+4√5)-(√9-4√5)-√5+(√23-8√7)
2)Chứng minh:
x²+x√3+1 luôn luôn dương với mọi x.
Answers
Answer:
si sumas 9+4×5 te da la respuesta
Use long division to find the quotient below.
(8x) + 20x2 + 36) divide (2x+6)
A. 4x2 - 6x+6
B. 8x2 - 8x+6
C. 4x2 - 2x+6
D. 8x2 - 4x + 6
Answers
Given:
[tex]8x^3+20x^2+36[/tex] divided by [tex](2x+6)[/tex].
To find:
The quotient by using long division method.
Solution:
We have,
Dividend = [tex]8x^3+20x^2+36[/tex]
Divisor = [tex](2x+6)[/tex]
Using long division method we get
[tex]\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}[/tex]
[tex]\underline{8x^3+24x^2}[/tex]
[tex]-4x^2+0x[/tex] (After subtraction)
[tex]\underline{-4x^2-12x}[/tex]
[tex]12x+36[/tex] (After subtraction)
[tex]\underline{12x+36}[/tex]
[tex]\underline{\quad 0\quad }[/tex] (After subtraction)
The quotient is [tex]4x^2-2x+6[/tex].
Therefore, the correct option is C.
please answer this !!
x/2 + 50
Answers
Answer:
x = 260
Step-by-step explanation:
Add the two angles together. They will sum to 180
x/2+ 50 = 180
Subtract 50 from each side
x/2+50-50 = 180-50
x/2 = 130
Multiply by 2
x/2*2 = 130*2
x = 260
Answer:
260°
Step-by-step explanation:
To calculate the two angles together . They will added to 180°.x / 2 + 50° = 180°
Subtract 50° from each side
x/2 + 50° - 50° = 180° - 50°
x / 2 = 130°
Multiply each side by 2
2 × x/2 = 130° × 2
x = 260°
Use this system of linear equations to solve for x. 3x+5y=6 and 2x+y=4
Answers
Answer:
x=2
HPT 3x+5y=6 (1) và 2x+y=4 (2)
Nhân phương trình (2) với 5 để hệ số y của 2 phương trình bằng nhau. Ta có:
(2)⇔ 10x+5y=20(3)
Trừ (3) cho (1), có: 7x+0y=14⇒x=2
Answer:
3x+5y=6.....eqn 1
2x+y=4.......eqn 2
y=4-2x.....eqn 3
Step-by-step explanation:
substitute eqn 3 into eqn 1
3x+5(4-2x)=6
3x+20-10x=6
-7x = -14
x=2
Find the surface area of a cylinder with a height of 10 inches and base diameter of 6 inches.
______ square inches
Answers
Answer:
The surface area of cylinder is 244.92 inches²
hope it helps
have a nice day
Class width is 2
Find mode
Answers
Answer:
7.22
Step-by-step explanation:
solved in the diagram
Joe bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below. The volume of the tank is 300π 〖ft〗^3 and its height is 10ft.
Answers
Answer:
1.7ft
Step-by-step explanation:
Given data
Volume of tank= 300π 〖ft〗^3
Height of tank= 10ft
The expression for the volume of a cylinder is given as
Volume= πr^2h
Substitute
300π = π *r^2*10
300= r^2*100
3= r^2
r= √3
r= 1.7 ft
Hence the radius of the cylinder is 1.7ft