Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
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Hey all!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
65°Step-by-step explanation:
Use the law of cosines:
cos C = (25² + 27² - 28²)/(2*25*27)cos C = 0.4222m∠C = arccos 0.4222m∠C = 65°solve r/13.7 = 5 for x
please help asap
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
E = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
A = {odd numbers}
B = {multiples of 3}
Complete the Venn diagram for this information.
6
A
B
e
15,2
Answer:
A=11,13,17,19 B=12,18 None=10,14,16,19 Both=15
Step-by-step explanation:
11,13,15,17,19 are all odd so they go in A
12,15,18 Are all multiples of 3 so they go in B
10,14,16,19 Are not classified so they go outside of the diagram but inside E
15 is odd and a multiple of 3 so put it in the center and not with A and B
a recipe calls for 3/4 of a cup of flour to make 5/8 of a pond of bread dough . how many cups of flour are needed to make 1 pound of douugh
what is the scale factor of the small triangle to the large triangle?
Answer:
I'm pretty sure it's 4.3?
Step-by-step explanation:
Because you divide the larger triangles side first because you are figuring out the scale factor of the small triangle to the larger triangle, not the other way around.
Sorry if i'm wrong
Answer:
first, find the area of the small triangle: 3 times 3 equals 9 divided by 2 equals 4.5.
second, find the area of the big triangle: 13 times 13 equals 169 divided by 2 equals 84.5.
Find difference: 84.5 minus 4.5 equals 80
What is the maximum value and what is the point the maximum value is at?
9514 1404 393
Answer:
z = 47 at (x, y) = (3, 8)
Step-by-step explanation:
In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...
(x, y) = (3, 8)
The value of z there is 5·3 +4·8 = 47.
The maximum value of z is 47 at the point (x, y) = (3, 8).
A retail ice cream salesman divides his working days into 'sunny', 'medium', and 'cold'. He estimates that the probability of it being sunny is 0.2, and cold 0.3. If his gross sales on these three types of day are $50, $35, and $10 respectively on average and his average daily costs are $18 on any day.
Required:
a. Complete the probability distribution.
b. Find his expected profit per day.
Answer:
30.5
Step-by-step explanation:
Let ;
Sunny = S ; Medium = M ; Cold = C
_____ S _____ M ___ C
__X : 50 ____ 35 ___ 10
P(X) : 0.2 ____ 0.5 __ 0.3
P(M) = 1 - (0.2 + 0.3)
P(M) = 1 - 0.5 = 0.5
Expected profit per day, E(X)
E(X) = sum of (X * p(x)
E(X) = (50 * 0.2) + (35 * 0.5) + (10 * 0.3)
E(X) = 10 + 17.5 + 3
E(X) = 30.5
Vita used the model below to find the sum of two mixed numbers what is the sum?
Answer:
the first mixed number is 1 8/10 which is reduced to 1 and 4/5 and the seconde is 2 and 3/5 added equals 4 and 2/5
Step-by-step explanation:
1 plus 2 equals 3
and 3/5 plus 4/5 equals 7/5
turn it into a mixed number which equals 1 and 2/5 the add 3 and u get 4 and 2/5
Find the surface area
Will give brainliest to first answer!!!!
Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x
Answer:
1. 3x-7y and -7y+3x
Step-by-step explanation:
1. 3x -7y and -7y +3x
This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.
2. 3x -7y and 7y -3x
This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.
3. 3x -7y and 3y -7x
This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.
4. 3x-7 and -3y+7x
This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.
PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT
Answer:
False
Step-by-step explanation:
Plug 16 into the function as x
16+12=28
4≠28
When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4
Answer:
is that supposed to be a squared x?
9(-4)^2 + (-4) - 5 = 135
9(-4) × 2 + (-4) - 5 = -81
id.k which one is right sorry
Which type of graph uses images to represent data?
line graph
bar graph
pictograph
pie chart
Answer:
pictograph is a type of graph that use images to represent data or a given information and it is also called picture graph
Classify the solid figure.
O A. rectangular prism
O B. rectangular pyramid
O C. cylinder
O D. quadrilateral
HELP MEEE
x/4−1=3
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
x/4 - 1 = 3
x/4 = 3+1
x/4 = 4
x = 4*4
x = 16
Answer:
x=16
Step-by-step explanation:
always multiply denominator by whatever it is to the number behind the equl sign after subtracting that one it would be whatever that number is *4
The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height
is 25 centimeters and its base length is 16 centimeters. What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
0600 square centimeters
O 300 square centimeters
O 150 square centimeters
160 square centimeters
Answer:
150 square centimeters
Step-by-step explanation:
Area of a triangle:
The area of a triangle is the multiplication of 0.5, the base length and the height length.
What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
[tex]A = 0.5*20*15 = 10*15 = 150[/tex]
The area of the triangle is 150 square centimeters.
If I save 20$ at the end of every month for 12 years, how much will I have?
Answer:
2880
Step-by-step explanation:
144 months times 20 equals 2880
hi, i need help with this lol, i'm bad at math
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
Can someone help please please
Answer: A: (6, 5)
Step-by-step explanation:
When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).
To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:
[tex]y = \frac{1}{2}x + 2[/tex]
[tex]5 = \frac{1}{2} * 6 + 2[/tex]
[tex]5 = 3 + 2[/tex]
[tex]5 = 5[/tex]
[tex]y = x - 1[/tex]
[tex]5 = 6 - 1[/tex]
[tex]5 = 5[/tex]
Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.
I need help with this problem please
Answer:
-9
Step-by-step explanation:
Remove parentheses.
9(−1)2−7
Subtract 77 from 22.
9(−1)−5
Rewrite the expression using the negative exponent rule b−n= 1/bn
91(−1)5
Raise −1 to the power of 5.
9(1/-1)
Divide 1 by −1.
9⋅−1
Multiply 9 by −1.
−9
How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?
Triangle PQR is shown. The triangle has a base of 4 in and a height a 2.5 in.
Which measurement is closest to the area of triangle PQR in square inches?
5 in2.
8 3/4in.2
6 1/2in.2
11in.2
Answer:
A
Step-by-step explanation:
Area = 1/2 * b * h
b = 4 in
h = 2.5 inches
Area = 1/2 * 4 * 2.5
Area = 2 * 2.5
Area = 5 in^2
Consider the following graph.
The x y coordinate plane is given. The curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)
(d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)
(e) Find the coordinates of the point(s) of inflection.
(x, y) = ( )
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.
What is the point of inflection?The point of inflection or inflection point is a point in which the concavity of the function changes.
Therefore, From the attached graph, we can see that:
a)Function is increasing in intervals (1,3) and (4,6).
b)Function is decreasing in intervals (0,1) and (3,4).
c)Graph is concave upward in the interval (0,2) and (3,5).
d)Graph is concave downward in the interval (3,4).
e)Points of inflection are x=3 and x=5.
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Answer:
a.(1,3)U(4,6)
b.(0,1)U(3,4)
c.(0,2)
d.2,6
e. 2,3
Step-by-step explanation:
Looking at graph and finding intervals.
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
How do you graph x+6y=0
Answer:
We need to put this equation into either form of a line, pererably, slope intercept form!
Step-by-step explanation:
To do this, out goal is to get y alone.
1. We subtract x on both sides.
2 We divide 6 on both sides.
3. Our answer is y= -x/6 ( negative x divided by 6)
4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.
5. The y intercept is (0,0)
6. From (0,0) point, you go down -1 and move 1 to the right each time!
The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph this equation, start by rearranging it to solve for y.
y = -x/6
Next, plot a few points to fill in the graph.
when x is 0,
y is 0.
When x is 6,
y is -1, and
when x is -6, y is 1.
Finally, connect the plotted points with a straight line.
The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
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Use the data on the dot plot to answer the question.
Answer:
5
Step-by-step explanation:
x < 7
Which means 6 and below
only 5 people slept for less than 7 hours
Answer:
5 people
Step-by-step explanation:
Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6
ann and bill share an amount of money in ratio 7:n. Ann gets 28%of the money. workout value of n
cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura
Answer:
Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.
Step-by-step explanation:
Answer:
how do you translate?
Step-by-step explanation:
Please help 30 points pls
Answer:
4.75b; 8
Step-by-step explanation:
Area of triangle: height ÷ 2 × base
38 = 9.5 ÷ 2 × b
= 4.75 × b
38 = 4.75b
b = 38 ÷ 4.75
b = 8
Answer:
4.75 & 8
Step-by-step explanation:
Hope this helps
Please help ASAP. Thanks so much
Answer:
its A
Step-by-step explanation: