Answer:
about 49.3 inches
Step-by-step explanation:
[tex]42 \times {1.055}^{3} = 49.318[/tex]
12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.
The answer to this question is in the picture which is 0.56% to 2dp
Answer:
5.60%
Step-by-step explanation:
We can use the formula for simple interest to solve this problem. The formula is:
[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]
Where:
SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in yearsIf $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:
[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]
In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:
[tex]1177.12=\frac{4204*5*r}{100}[/tex]
Doing Criss cross multiplication
[tex]r=\frac{1177.12*100}{4204*5}[/tex]
r=5.60 %
To two decimal places, the interest rate r is 5.60 %.
HELP ME!!!! please....
hallenge
A tank was1/4 of the way filled of water. After 3 L of water was added, it was7/10
full. How many liters of water did it have at first?
A scale drawing of an American flag is 6 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?
Part 1 , i really need help if anyone have the items for these please help
A company paid $203.00 for an item. The original price was $291.10, but this was marked down 40%. If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. What is the operating loss?
2. What is the absolute loss?
Answer,:
Answer and Explanation: 1
1.
Calculation for operating loss is shown below:
Break-even point in dollars = Cost + Operating expenses
Break-even point in dollars = $208.40 + (36% * $208.40)
Break-even point in dollars = $208.40 + $ 75.024
Break-even point in dollars = $283.424
Reduced price = Original price - (Original price * Mark down)
Reduced price = $292.60 - ($292.60 * 40%)
Reduced price = $292.60 - $117.04
Reduced price = $175.56
Operating loss = Break-even point in dollars - Reduced price
Operating loss = $283.424 - $175.56
Operating loss = $107.864
2.
Calculation of absolute loss is shown below:
Absolute loss = Cost - Reduced price
Absolute loss = $208.40 - $175.56
Absolute loss = $32.84
brain less plss
THIS ANSWER IS CORRECT
What is the value of b?
Enter your answer in the box.
b =
A right triangle with base labeled as b. The hypotenuse is labeled as 34. The perpendicular is labeled as 16. The angle made between base and perpendicular is marked as a right angle.
Answer:
30
[tex]b = \sqrt{ {c}^{2} - {a}^{ {2} } }[/tex]
[tex]b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]
[tex]b = \sqrt{1156 - 256} [/tex]
[tex]b = \sqrt{900} [/tex]
[tex]b = 30[/tex]
In the figure below, the segments IJ and IK are tangent to the circle centered at O. Given that OJ=8.4 and OI=15.9, find IK.
Answer:
IK = 13.5
Step-by-step explanation:
A^2 + B^2 = C^2
(8.4)^2 + B^2 = (15.9)^2
70.56 + B^2 = 252.81
B^2 = 182.25
B =13.49925... ≈ 13.5 = IK
Find the area
(Please)
Give explanation
Answer:
960 cm²
Step-by-step explanation:
Area of trapezoid: (a + b)(h)/2
A = (20 + 40)(32)/2
A = 60(32)/2
A = 1920/2
A = 960 cm²
BRANLIEST please if this helps!What would the answer be ?
Answer: 7
Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7
See the diagram below.
The 7/8 and 1/8 combine to 8/8 = 1. So we add an extra pie to the original two full pies to get 3 total.
Please help. I need to get to 70%
Scale factor is 5
So
J'=5(1,-2)=(5,-10)K'=5(2,-1)=(10,-5)M'=5(0,-1)=(0,-5)L'=5(1,2)=(5,10)Answer:
Points of kite JKLM:
J = (1, -2)
K = (2, -1)
L = (1, 2)
M = (0, -1)
To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.
So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite. Extend the lines so that they are each 5 times the original lengths. These are the dilated points
Points of kite dilated by sf 5 (shown in blue on the attached diagram):
J' = (5, -10)
K' = (10, -5)
L' = (5, 10)
M' = (0, -5)
Please help with this guys please I’d appreciate it
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?
Answer:
15.85
Explanation:
Po = D1 / (k-g)
Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate
Po = (5.10 (1-0.13)) / (0.15-(-0.13))
Po= 15.85
I am confused can somebody help me
F ( - 5 ) =
Answer:
-5f
Step-by-step explanation:
Answer:
f(- 5) = 57
Step-by-step explanation:
substitute x = - 5 into f(x) , that is
f(- 5) = 3(- 5)² + 3(- 5) - 3
= 3(25) - 15 - 3
= 75 - 18
= 57
Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?
Answer:
B, or 4
Step-by-step explanation:
Since the line in the middle of the box plot shows the median it tells us that the median is 4
Answer:
4
Step-by-step explanation:
because it is the middle number
What I Know Write each as they would appear on a 24-hour digital clock. Morning Afternoon 1. Five minutes pass 8 2. Quarter of 12. 3. Six minutes to 10 4. Twenty minutes past 1 5. Twenty-five minutes to 9 6. Ten minutes to 3 7. Eighteen minutes pass 5 8. Fourteen minutes to 7 9. Half pass 1 10. Twelve minutes past 12
Step-by-step explanation:
1. 8:05
2. 12:45
3. 10:54
4. 1:20
5. 8:35
6. 2:50
7. 5:18
8. 7:44
9. 1:30
10. .12:12
The diagram shows a circle with centre
O.
A, B, and C lie on the circumference of
the circle.
X, A and Y lie on a tangent to the circle.
Work out:
(i)
(ii) ABC
С
x
ö
163°
В
B
A69°
The diagram is not drawn accurately.
r
o
O
ACB =
=
.
0
LABCE
0
Answer:
This is my notes
Step-by-step explanation:
The value of angles are,
⇒ ∠ACB = 48°
⇒ ∠CBA = 48°
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A, B, and C lie on the circumference of the circle.
And, X, A and Y lie on a tangent to the circle.
Now, We get;
⇒ ∠XAC + ∠CAB + ∠BAY = 180°
⇒ 63° + ∠CAB + 69° = 180°
⇒ ∠CAB = 180 - 132
⇒ ∠CAB = 48°
Hence, We get;
⇒ ∠ACB = 48°
⇒ ∠CBA = 48°
Thus, The value of angles are,
⇒ ∠ACB = 48°
⇒ ∠CBA = 48°
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Using a 10' long piece of strut as a straightedge, you are trying to determine the outside diameter of a grain storage silo. You and your partner very carefully measure from the ends of the straightedge, squarely, in to the wall of the silo and find that the “H” distance is 14 3/4" at both ends. What is the radius of the silo in inches? Note: The values calculated for this question may be used for additional questions. (Round the answer to the nearest 1/8".)
The radius of the silo is the distance from its center to the outside wall
The radius of the silo is 7 3/8" or 7 3/8 inches
How to determine the radius?From the question, we have the following parameters:
Length of strut = 10'Outside diameter of silo = 14 3/4"The radius is then calculated as:
Radius = 0.5 * Diameter
This gives
Radius = 0.5 * 14 3/4"
Evaluate the product
Radius = 7 3/8"
Hence, the radius of the silo is 7 3/8" or 7 3/8 inches
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Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²
Urgent please help
10.If Zoe paints the outside faces of
her shed and tho roof. what is the
total surface area that she paints?
CA
A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp
Step-by-step explanation:
Area of one side of the shed
5*4=20
she painted 4 sides so 20*4 =80
Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,
[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]
we need to find the square root of 18.75 to find the height of the triangle which is
[tex] \sqrt{18.75} = 4.330127019[/tex]
that is the height
(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8
[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]
this number gives us 43.30127019
we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A, B and C working together will finish same piece of work in 10 days
A can do a piece of work in 20 days. That is A is doing the work at a rate of 1 / 20. Therefore
B = 1 / 30
C = 1 / 60
A, B and C working togehter their rate will be added together =
A + B + C = 1 / 20 + 1 / 30 + 1 / 60 = 1 / 10
so they can work together to finish same piece of work in 10 days
Factor the expression. 16m2 – 24mn + 9n2
(4m – 3n)(4m + 3n)
(4m – 3n)2
(16m – 3n)(m + 3n)
(4m + 3n)2
16m2 – 24mn + 9n2
((16 • (m2)) - 24mn) + 32n2
(24m2 - 24mn) + 32n2
= (4m - 3n)2
Which answer best describes the shape of this distribution?
(A)uniform
(B)skewed left
(C)bell-shaped
(D)skewed right
Answer:
I'm not 100% sure but it might be b
Step-by-step explanation:
) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:
n=20, x¯¯¯=63.8, s=2.84
≤μ≤
Answer:
ask MisterBrainly for help
show work. A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 59 ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn?
Step-by-step explanation:
oh that is again something you can nicely envision :
the inner circle has a radius of 59 ft.
so, because of the 2 ft wide track the outer circle has a radius of 59+2 = 61 ft.
the circumference of a circle is
2×pi×r
the answer to the question is simply the difference bergen the 2 circumference values.
inner circle :
2×pi×59 = 118pi
outer circle :
2×pi×61 = 122pi
the difference is
122pi - 118pi = 4pi = 12.56637061... ft ≈ 12.6 ft
the wheel on the outer track travels about 12.6 ft farther than a wheel on the inner track in one full turn.
A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?
Answer:
157 if youre going by 3.14
157.08 if youre going by π
Step-by-step explanation:
you want to find the circumference
circumference is 2πr
the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle
2 * 3.141 * 25 = 157
The length of the path that goes around the outside of the circle stands at 157.08 meters.
What is a circle?A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.
Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.
Now, the perimeter of the circle exists the length of the path that goes around the outside.
Thus, the perimeter of the circle stands,
Perimeter = π × Diameter
= π × 50 meters
= 157.07963 meters ≈ 157.08 meters
Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.
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A community college is planning to expand its library. Forty students were asked
how many times they visited the library during the previous semester. Their
responses are given below. Construct a frequency distribution, letting each class
have a width of 1.
2 4 5 68
24568
3 4 5 7 8
3 5 5 7 9
4 55 79
COLLE
02
1
22222
1
1 2
n
98666
10
10
U
E
D
C
1
L
5
Number of Visits
0
1.
(0,0)
Here is the constructed frequency distribution table:
Number of visits Number of students
0 - 1 5
2 - 3 9
4 - 5 11
6 - 7 5
8 - 9 8
10 - 11 2
What is a frequency distrubution?A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.
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A rectangle is 4 ft long and 2 ft wide. find its area in square inches.
[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]
Find the area of the figure.
A) 114 cm2
B) 350 cm2
C) 418 cm2
D) 447 cm2
Answer:
418 cm2
Step-by-step explanation:
Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.
s2 = area of square
192 = 361 cm
BH= area of triangle
(6)(19) = 57 cm2
361 + 57 = 418 cm
Answer:
c= 418cm2
Step-by-step explanation:
good bye now human
Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
The slope is m =
The y−intercept is b =
The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a LineFrom the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
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