toStep-by-step explanation:
1.25 each year plus 7% for each year
V(t) = t(m) + (c)
m is the gradient
c is the y-intercept
first m
m is what it changes by each year
it is 7% as it changes by 7% each year
we need 7% as a decimal though so
what is 7% as a decimal
write in comments if you don't know tell me
then i will do c
The representation of the value of stock in dollars after 1940 is given as
V(t) = $1.25(1 + 0.07)^t.
How to write the expression for a growing exponential?The growing exponential can be written generally as f(x) = N(1 + r)ˣ, where N is the initial value and r is the rate of growth.
To find the expression different values of x and f(x) should be known.
Given that,
The value of the stock in 1940 is $1.25.
And, its rate of growth per year is 7%.
The general expression for the growing exponential can be written as,
f(x) = N(1 + r)ˣ
The given data shows N = 1.25 and r = 7/100 = 0.07.
Thus, the required expression can be written as,
V(t) = 1.25(1 + 0.07)^t
Hence, the required expression for representing the value of the stock V(t), in dollars, t years after 1940 is V(t) = $1.25(1 + 0.07)^t.
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5y(4-2y+y)-4y
Need help ASAP
Answer:
The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^
Step-by-step explanation:
Ashley makes house calls. For each she is payed a base amount and makes additional money for each hour she works. The graph below shows her pay(in dollars) versus the number of hours worked.
How much does her pay increase for each hour?
Answer:
her pay increases by 30$ each hour she work
Step-by-step explanation:
hope it helps
The graphs below have the same shape. What is the equation of the blue
graph?
pls help fast. i need it fast. pls
Answer: Part A C x G = X
Part B it represents the cost
Step-by-step explanation:
A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.
Answer :
8 meters .⠀
Explanation :
The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.⠀
To Find :
The height of the cylinder.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]
⠀
Where,
r is the radius of the cylinder.h is the height of the cylinder.⠀
Now, Substituting the values :
[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]
⠀
Cancelling π from both sides :
[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]
[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]
[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]
⠀
Therefore,
The height of the cylinder is 8 meters .A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. alyssa thinks that her school is more fashion conscious and spent more than $195.00. she collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. which of the following is the correct z-statistic for this situation? 0.24 4.84 7.51 96.90
Z-score of given data comes to be 4.84.
It is given that:
Mean price of a prom dress μ= $195
Standard deviation σ= 12
Mean of price spent on prom dress out of 20 people X= $208
Sample size n= 20
What is a z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (208-195)/(12/√20)
Z-score = 4.84
Therefore, the Z-score of the given data comes to be 4.84.
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Answer:
B
Step-by-step explanation:
on edge
Solve the simultaneous equations by substitution 3 x + 4 y = 8 x + y = 4
Answer:
x=
29
12
≈0.413793103
y=
29
20
≈0.689655172
The quadratic parent function f was transformed to create g(x)=4f(x)which description best represents g?
Answer: the second one because its a virdacal reflection
Step-by-step explanation: it’s sideways all you have to do is find the equation
Please help me, because I am struggling on this picture.
Answer:
see attached
Step-by-step explanation:
Each grid is divided into units by the dark vertical lines, and into fractions of the last unit by the lighter vertical lines. The left-side figure, for example, shows 3 units, the last of which is divided into fourths (1/4s).
The lighter horizontal lines divide the vertical space into fractions. The left side figure has horizontal lines dividing the vertical space into tenths (1/10s).
Overall, each grid represents multiplication of a mixed number by a fraction.
__
The left-side figure has coloring horizontally covering two full units and 3/4 of the last unit. The coloring vertically occupies 3 of the 10 spaces, Overall, the figure represents multiplication of 2 3/4 by 3/10. That matches the solution required for the question about July rainfall (bottom word problem).
__
The top right figure has coloring horizontally that covers two full units and 2/3 of the last unit. The coloring vertically occupies 2 of the 3 spaces. Overall, the figure represents multiplication of 2 2/3 by 2/3. That matches the solution required for the question about mat area (top word problem).
__
The bottom right figure has coloring horizontally that covers three full units and 1/5 of the last unit. The coloring vertically occupies 1 of the 4 spaces. Overall, the figure represents multiplication of 3 1/5 by 1/4. That matches the solution required for the question about the weight of carrots (middle word problem).
_____
Additional comment
Perhaps the confusing part is that the answer to the question, as represented by the shaded area, is not easy to determine from the figure.
The left-side figure, for example, has a blue shaded area that totals 6/10, and an orange shaded area that totals 9/40. The answer to the question posed is then 6/10 +9/40. The diagram offers no help in figuring the value of that sum, hence the answer to the question.
HELPPPPPOOOPP PLEASEEE
Answer:
122
Step-by-step explanation:
Rectangle: 6*15=90
Inner Trapezoid: 6*4=24
Triangles: 4*2=8/2=4*2=8
What would be the answer to this question
Step-by-step explanation:
[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]
-( 28 - 6x ) = x² - 12x + 36
x² - 18x + 64 = 0
√∆ = √( 324 -256)= √68 = 2√17
x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓
9-√17 is not acceptable because the radical answer can not be negative.
6. Izabella and
Lani go to breakfast
and spend $34, plus
they give a 20%
tip. How much do
they pay total ?
Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction? sine StartFraction pi Over 6 EndFraction sine StartFraction 5 pi over 3 EndFraction sine StartFraction 5 pi over 3 EndFraction sine StartFraction 11 pi Over 6 EndFraction.
Answer:
The answer is D: sin 11pi/6
<3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
help me please! i need to turn in this assignment
Answer:
90
40
45%
Step-by-step explanation:
the way I go 40 was by looking around the blank space, and i see that the 2 totals are 110 and 88. 110-70=40 and 88-48=40 so that is the answer for that one
and for the frequency i took 90 and divided it by 200 gettin 0.45 and then i moved the decimal 2 places to the right giving me my percentage
NEED HELP:
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to
find the radius (7) if you know that C = 271?
Answer:
The radius is approx. 7.5
Let me know if it helps or if I got anything wrong!
Step-by-step explanation:
To find the circumference, you need to multiply the diameter by pi (3.14)
And for vice versa, just divide.
Since we don't know the diameter nor radius, we need to divide the Circumference (C) by pi (3.14)
47/3.14=14.968
Which is rounded up to 15.
We have now found the diameter.
We also know that the radius is half of the diameter
15/2=7.5
What is the area of this composite figure?
Answer: B: 7.14 in²
Step-by-step explanation:
Area of the square: 2x2 = 4in²
Area of the circle: πr² = 3.14 x 1² = 3.14
add them both to get the composite area:
4 + 3.14 = 7.14 in²
The dimensions of this screen are 8 inches by 15 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen
Answer:17
Step-by-step explanation:
I just did it and got it write 15/8=17
Answer:
B
Step-by-step explanation:
Find the nth term of the sequence
below:
2,6,10,...
What is the 10th term in the
sequence? If 89 in the sequence?
A class of 24 students visited a science museum. Each student paid the
museum’s admission fee and $6 for lunch at the museum. The class spent
a total of $336. What was the admission fee that each student paid?
Answer:$14
$336/24
$14
Step-by-step explanation:
An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle
Given :
An angle which measures less 64° the measure of its supplementary angle.⠀
To Find :
The measure of its supplementary angle.⠀
Solution :
Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .Now,
⠀
According to the Question :
[tex]\longrightarrow\qquad \sf{{x
+ (x - 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}[/tex]
[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}[/tex]
⠀
Therefore,
One angle = 122°Other angle = 122° – 64° = 58°⠀
⠀
Henceforth ,
The measure of the two angles are 122° and 58° .How many more unit tiles need to be added to the expression x2 4x 3 in order to form a perfect square trinomial? 1 2 3 4.
The number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
What number of tiles is needed to make the equation perfect square?Given equation is [tex]x^{2} +4x+3[/tex]
Now by adding 1 to the equation [tex]x^{2} +4x+3[/tex] we get
[tex]x^{2} +4x+3+1=x^{2} +4x+4[/tex]
[tex]x^{2} +2x+2x+4[/tex]
Now by splitting the equation
[tex]x(x+2)+2(x+2)[/tex]
[tex](x+2)(x+2)[/tex]
[tex](x+2)^{2}[/tex]
Thus the number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
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A - 1
Correct answer. Since, well you just need one more tile to add, especially noticeable in the picture shown! Enjoy folks
Determine the first expression to evaluate 8+7-9+42÷6 ?
Answer:
The answer is 13!
Step-by-step explanation:
Have a great day!
Which expression represents the surface are of the prism?
4
8
7
Answer:
C
Step-by-step explanation:
One side;
7 x 8 = 56, the side parallel to it is also 56 as well, so 56(2).
Second(bottom) side;
8 x 4 = 32, the side parallel to it(the side above) is also 32 as well, so 32(2).
Third(front) side;
4 x 7 = 28, the side parallel to it(backside) is also 28 as well, so 28(2).
You add all those products to get the surface area:
56(2) + 32(2) + 28(2)
help please!!! 18 pts + brainliest ASAP
Answer:
2.5 inches / B (edited)
Step-by-step explanation:
1.25 inches is the radius, so 2.5 inches is the diameter, because:
The diameter's formula is [tex]2r[/tex]. :) emjoy
Determine the value of x that makes each equation true.
Equation
Value
- 3x = 6.3
1/8 = -12
-1.2x = -30
12
= -0.3
Answer:
1. -2/1
2. -1.5
3. 25
4. -0.025
Step-by-step explanation:
divide by the coefficient on both sides of then equation.
What is the solution to 4(y minus 3) + 19 = 8(2y+ 3) + 7?
Answer: the value of y is - 2
Step-by-step explanation:
What is the hydronium ion concentration in a solution of hcl that has a ph of 4.65? round to the nearest hundredth. × 10n m n = what is the hydroxide ion concentration in a solution of nh3 with a poh of 4.65? round to the nearest hundredth. × 10n m n =
The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
What is pH value?The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.
Hydronium ions concentration of the solution with a pH value of 4.65.
[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]
[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]
Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,
[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]
[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]
Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
Learn more about pH value:
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Answer:
first one is 2.24 then -5
2nd one is 2.24 then -5
i just did it
Are the ratios equivalent? 2/5 and 20/55
Step-by-step explanation:
Simplify 20/55;
[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]
[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]
In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.
Assuming 2:5 and 22:55 are equivalent. Then;
[tex]\implies 2:5 = 20:55[/tex]
This can be checked by using two methods. Listed below!
Method 1 (As stated above):This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.
Obtained ratio:
[tex]2:5 = 20:55[/tex]
We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.
[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]
[tex]2:5 = (4):(11)[/tex]
Therefore, the given ratios are NOT equivalent.
Method 2:To determine if the ratios are equivalent (or not);
Multiply the extremes (Refer to notes) of the ratio and isolate them on one side of the equation.Multiply the middles (Refer to notes) of the ratio and isolate them on the other side of the equation.Therefore,
[tex]\implies 2:5 = 20:55[/tex]
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
Now, let's simplify both sides of the equation.
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]
Therefore, the given ratios are NOT equivalent, as stated in method 1.
Notes:Extremes: (a : b = c : d) ⇒ "a" and "d"Middles: (a : b = c : d) ⇒ "b" and "c"Learn more about equivalent ratios: https://brainly.com/question/18835388
What is the length of side b round to the nearest hundredth
Answer:
= 8.06
Step-by-step explanation:
4^2 + 7^2
16 + 49
= ∫65
= 8.06
Fran is training for a cycle race. In the first week, she cycles 195 miles. In the second week, she manages 243 miles. To the nearest tenths, What is the percent increase in distance?
Answer:
24.6%
Step-by-step explanation:
243-195=48
48/195=x/100
48 × 100
4800/195= 24.6%