Answer:
Her account balance after 5 years is $8702.87
Step-by-step explanation:
1500 (1.05) = 1575 --> after one year
1575 + 1500 = 3075
3075 (1.05) = 3228.75 --> after two years
3228.75 + 1500 = 4728.75
4728.75 (1.05) = 4965.1875 --> after three years
4965.1875 + 1500 = 6465.1875
6465.1875 (1.05) = 6788.44688 --> after four years
6788.44688 + 1500 = 8288.44688
8288.44688 (1.05) = 8702.86922 --> after five years = $8702.87
2. Solve the quadratic by taking square roots. Write your answer with no spaces as x=a,-a where a and -a are the values you found when solving. Round to the nearest tenth. 2x secondpower - 9 = 121
Answer:
x=√65 and x=-√65
Step-by-step explanation:
Givn the expression 2x^2 - 9 = 121
Add 9 to both sides
2x^2 - 9 + 9 = 121 + 9
2x^2 = 130
Divide both sides b 2
2x^2/2 = 130/2
x^2 = 65
x = ±√65
x=√65 and x=-√65
What is the surface area of the cylinder? Use 3,14 for pi and round your answer to the nearest hundredth.
Answer:
B. 226.08 sq in
Step-by-step explanation:
Given data
r= 3 in
h= 9in
The expression for the surface area of a cylinder is
A=2πrh+2πr^2
Substitute
A= 2*3.142*3*9+ 2*3.142*3^2
A= 169.668+ 2*3.142*9
A= 169.668+ 56.556
A=226.224 sq in
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 520 grams, write a function showing the mass of the sample remaining after tt years, where the annual decay rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of decay per year, to the nearest hundredth of a percent.
Answer:
The percentage rate of decay per year is of 5.19%.
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 13 years, its mass decreases by half.
This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]
[tex](1-r)^{13} = 0.5[/tex]
[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]
[tex]1 - r = (0.5)^\frac{1}{13}[/tex]
[tex]1 - r = 0.9481[/tex]
[tex]r = 1 - 0.9481[/tex]
[tex]r = 0.0519[/tex]
The percentage rate of decay per year is of 5.19%.
The initial mass of a sample of Element X is 520 grams
This means that [tex]A(0) = 520[/tex]. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 520(1-0.0519)^t[/tex]
[tex]A(t) = 520(0.9481)^t[/tex]
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Need a hand with this, please
Please find the VOLUME . Will mark the brainliest be geniune no links
Answer:
Pyramid formula: V= LWH/3
224
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
The figure shown is a triangular prism
The volume of a triangular prism can be calculated by using this formula
[tex]V=ah[/tex]
where a = area of base and h = height
we are already given the height ( 8 ft ) so all we need to find is the area of the base
Because this is triangular prism the base will be a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft
That being said we plug in the values into the formula
[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]
So we can conclude that the area of the base is 42 ft²
Now to find the volume
Using the formula V = ah
* plug in the values *
V = 42 * 8
42 * 8 = 336
Therefore the volume of the triangular prism is 336ft³
Need help with this
is -92 a rational number
Answer: Yes
Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.
No
A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.
Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinators shown.
Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]
Using the parametric equation of the line,
[tex]x=x_0+at[/tex]
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and [tex]y = y_0+bt[/tex]
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Learn more about the parametric equations here:
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This graph represents the demand for health supplements in Oklahoma. Match each section of the function to the description of how the y-value changes as the x-value increases. increases quickly increases slowly decreases slowly decreases quickly A arrowRight B arrowRight C arrowRight D arrowRight
The appropriate description of the graph is as follows
1. The demand for health supplements in Oklahoma A: increases slowly.
2. The demand for health supplements in Oklahoma B: Decreases quickly.
3. The demand for health supplements in Oklahoma for C: Increases quickly.
4. The demand for health supplements in Oklahoma for D: decreases slowly.
How to interpret lines on a graph?To interpret lines on a graph, we must first note that those lines mean a number of things but ultimately, the tell or show is the relationship between two or more variables.
In the case of the Oklahoma graphs, we know that the lines represents the deman for health supplements. However, what we don't know are those factors that are causing the demands to increase or decrease.
The above answer is for the graph below that has been attached.
Find more exercises that includes graphs;
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Rationalize the denominator and simplify 2√x-3 √y / √x+ √y
2√x−3√xyx+√y is your answer.
if I have a 8 inch by 10 inch poster what is the area
Answer:
80 inches
Step-by-step explanation:
8x10=80
because, lxw
l= length
w= width
Answer:
80
Step-by-step explanation:
im not trying to copy the answer above, im just going to say why its 80
so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units
we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area
8 * 10 = 80
(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)
hope this helps with this and other problems, credits to the answer above for doing the initial work :)
The area of sector AOB is
9/4pi and MZAOB = 40°. Find the
radius of circle O.
Radius:
Answer:
i ma rhhy
Step-by-step explanation:
i am right
Bob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
Answer:
Sum = $1400
Step-by-step explanation:
Given the following data;
I. For Bob;
Principal, P = $4000
Interest rate, R = 3%
Time, T = 5years
To find the simple interest, we would use the following formula;
S.I = PRT/100
Substituting into the formula, we have;
S.I = 4000*3*5/100
S.I = 40 * 15
S.I = $600
II. For Bill;
Principal = $4000
Interest rate = 5%
Time = 4years
To find the simple interest;
S.I = PRT/100
S.I = 4000*5*4/100
S.I = 40 * 20
S.I = $800
III. Sum of amounts of interest for both;
Sum = 600 + 800
Sum = $1400
Therefore, the sum of amounts of interest bob and bill paid for their loans is $1400.
Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.
Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
5 square root of 18 -2 square root of 50 divided by square root of 50
Answer:
19.21 is the answer
Find the measure of 7
Answer:
its 96 because it is corresponding to both the 96 degrees in the fig
With the spinner shown, the theoretical probability of landing on 2 is 0.25. Which number of
spins would most likely result in a relative frequency that is closest to the theoretical
probability? SP7. HELP! Due in 45 min
Look at the square pyramid shown below. Which of the equation best represents volume of this pyramid terms of H?
F. V = 2h cubic units
G. V = 36h cubic units
H. V = 18h cubic units
J. V = 12h cubic units
Answer:
J. V = 12h cubic units
Step-by-step explanation:
Volume if a square pyramid = ⅓*a²*h
Where,
h = height = ?
a = edge = 6 in.
Plug in the values
Volume = ⅓*6²*h
V = ⅓*36*h
V = 12*h
V = 12h cubic units
A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number
Answer:
15595 bacteria will be present after 13 hours.
Step-by-step explanation:
Continuous population growth:
The continuous population growth model, for the population after t hours, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
Started with 5000 bacteria
This means that [tex]P(0) = 5000[/tex]
So
[tex]P(t) = 5000e^{rt}[/tex]
After three hours it grew 6500 bacteria:
This means that [tex]P(3) = 6500[/tex]. We use this to find r.
[tex]P(t) = 5000e^{rt}[/tex]
[tex]6500 = 5000e^{3r}[/tex]
[tex]e^{3r} = \frac{65}{50}[/tex]
[tex]\ln{e^{3r}} = \ln{\frac{65}{50}}[/tex]
[tex]3r = \ln{\frac{65}{50}}[/tex]
[tex]r = \frac{\ln{\frac{65}{50}}}{3}[/tex]
[tex]r = 0.0875[/tex]
So
[tex]P(t) = 5000e^{0.0875t}[/tex]
How many bacteria will be present after 13 hours?
This is P(13). So
[tex]P(13) = 5000e^{0.0875*13} = 15594.8[/tex]
Rounding to the nearest whole number
15595 bacteria will be present after 13 hours.
Which expression is equivalent to  when ?    
Answer:
[tex]5(w + 4) \\ = 5(9 + 4) \\ = 5 \times 13 \\ = 65[/tex]
Helpp plzz will mark brainleast
Answer:
median is the middle value so i think its 54
5 shirts for $30.00
Rate: What go's here Unit Rate: What go's here?
Pls help!
Step-by-step explanation:
that each shirt is 6 dollars
If your answer is right I’ll mark you!
Answer:
D
Step-by-step explanation:
5 1/2= 5 2/4
5 2/4 - 1 3/4 = 3 3/4
Answer:
3 3/4
Step-by-step explanation:
5 1/2 - 1 3/4
5 2/4 - 1 3/4
22/4 - 7/4
15/4
3 3/4
rolling a 1 and
the coin landing
on tails
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation：
Rolling a 1 is [tex]\frac{1}{6}[/tex]
Flipping tails is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]
Which statement is correct?
A. Cosecant is the reciprocal of tangent.
O B. Sine is the reciprocal of secant.
C. Secant is the reciprocal of cosine.
D. Cotangent is the reciprocal of cosecant.
Write the standard form of the equation of the circle with center (4,7) that passes through the point (−7,9).
Answer:
[tex](x-4)^2+(y-7)^2=125[/tex]
Step-by-step explanation:
1) Find the radius
To find the radius of the circle, use the distance formula for the points (4,7) and (-7,9)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (4,7) and (-7,9)
[tex]d=\sqrt{(-7-4)^2+(9-7)^2}\\d=\sqrt{(-11)^2+(2)^2}\\d=\sqrt{121+4}\\d=\sqrt{125}[/tex]
Therefore, the radius of the circle is [tex]\sqrt{125}[/tex] units.
2) Plug all data into the circle equation
Equation of a circle (not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex]
Plug in the point (4,7) as (h,k)
[tex](x-4)^2+(y-7)^2=r^2[/tex]
Plug in the radius [tex]\sqrt{125}[/tex]
[tex](x-4)^2+(y-7)^2=(\sqrt{125}) ^2\\(x-4)^2+(y-7)^2=125[/tex]
I hope this helps!
at the aminal sheter they use 84 ounces of dog food for each dog.They have 14 dogs to feed.How many ounces of dog food does each dog get.
Find the value of x in the triangle below.
Answer:
Can't be Solved
Step-by-step explanation:
tan x = opp/adj
tan x = 23/11
tan x = 2.09090909 which is about
tan x = 2.09
x = 64.4 degrees which is the tangent of 2.09 in degrees.
x = 64.4 degrees
This is the only way to solve, since no answer is equivalent it can't be solved.
Please help, will mark Brainly and if you need help with anything I’ll help with any work you send
Don’t tell me to go to a website, it doesn’t work at all. Stop spamming that.(will be reporting anyone who does)
Answer:
The first one is missing (d - 9) so it would be 5(d -9) or when you factor it out 5d - 45
In the second one (d + 7) is missing so it will be 8d(d + 7) so if you factor that out you will receive 8d^2 + 56
Step-by-step explanation:
3d^2 + 18d -21 =(3d -3)( d + 7)
3d^2 -30d +27 =(3d -3)(d - 9)