The required principal amount = $22.42
Amount to be earn (A) = $80.08
Given rate of interest (r) = 4% = 0.04
And time (t) = 7 years
What is the principal amount for investment?
Principal is also the original amount of investment made in an asset, separate from any earnings or interest accrued.
Since we know the simple interest formula;
A = p(1 + rt)
Therefore, substituting the values;
80.08 = p[1 + (0.04)(7)]
80.08 = 0.28p
P = 80.08/0.28
P = $22.42
Thus, the required principal amount = $22.42
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In exercise 14 and 15, write a piecewise function for the graph
Answer14. 6/0 15. 1/5 OR 5/1
Step-by-step explanation:
A figure is graphed in the coordinate plane. Which pair of transformations will NOT preserve the size and the shape of the figure?
A. Reflect the figure over the line y = x and then translate it 2 units up
B. Translate the figure 3 units to the left and then dilate by a scale factor of 4
C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1
To state the figure 180 degrees counter-clockwise about the origin and then reflect it over the y-axis
The transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
When a figure is dilated, the size of the original figure is changed.
A figure is graphed in the coordinate plane. Let's check all the option for the transformation of original figure.
A. Reflect the figure over the line y = x and then translate it 2 units up- Reflection and translation of a figure does not changes its shape and size.B. Translate the figure 3 units to the left and then dilate by a scale factor of 4- With the scale factor of dilation, the size of the figure will be changed for this case.C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1- In this case, there the figure is dilated with a scale factor of 1. This will change the size of the original figure.D. To state the figure 180 degrees counterclockwise about the origin and then reflect it over the y-axis- In this case the shape and size does not change.Hence, the transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).
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You are the manager of a restaurant that delivers pizza to college dormitory rooms. You have just changed your delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 21 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.4 minutes and a sample standard deviation of 6 minutes.
A.) Please compute the test statistic. Please round to four decimal places.
B.) Please determine the p-value. Please round to four decimal places.
C.) Using a 0.05 level of significance, please provide the critical value for the appropriate test. Please round to four decimal places.
D.) Using a 0.05 level of significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?
Answer:
1.4000 ;
0.0807 ;
1.69 ;
Fail to reject the Null
Step-by-step explanation:
Given :
μ = 21 minutes
x = 22.4 minutes
Sample size, n = 36
Standard deviation, s = 6
H0: μ ≥ 21
H1: μ < 21
Test statistic : (x - μ) ÷ s/sqrt(n)
Test statistic : (22.4 - 21) ÷ 6/sqrt(36)
Test statistic : 1.4 ÷ 1
Test statistic = 1.4000
Pvalue : Using the Test statistic value at α = 0.05 ; One - tail test = 0.0807
The t critical value using a critical value calculator ; DF = (n - 1) = 36 - 1 = 35 ; α = 0.05 = 1.69
Decision region :
Reject H0 if
|Test statistic| > |critical value|
1.4 < 1.69
Hence, we fail to reject H0
There isn't enough evidence they delivery time has been reduced below previous mean
What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11
Answer:
C IF NOT D
Step-by-step explanation:
The picture shows two boxes a teacher stacks in the storage closet.
What is the total volume of the two boxes?
Answer: I donut know
Step-by-step explanation:
The vertices of a triangle are located at P(0, 0), 0(4,3), and R(4,0).
Graph the triangle; use the graph paper provided. What is the perimeter
of this triangle?*
9514 1404 393
Answer:
12
Step-by-step explanation:
The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:
PQ² = QR² +PR²
PQ² = 3² + 4² = 25
PQ = √25 = 5
The perimeter is the sum of side lengths:
P = 3 + 4 + 5 = 12
The perimeter of this triangle is 12 units.
HELP ME PLS!!! This is important
Answer:
2
Step-by-step explanation:
if you see in 1996 the cost was 1.00 and in 2000 it was 3.00 so 3 - 1 = 2
Answer $2.00
1996 had 1 dollar and 2000 has 3 dollars
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For now, take a crack at the toughest math problems known to man, woman, and machine.
The Collatz Conjecture. Dave Linkletter. ...
Goldbach's Conjecture ...
The Twin Prime Conjecture. ...
The Riemann Hypothesis. ...
The Birch and Swinnerton-Dyer Conjecture. ...
The Kissing Number Problem. ...
The Unknotting Problem. ...
The Large Cardinal Project.
Answer:
1
Step-by-step explanation:
A scientist cuts a box parallel to its bases, and the resulting two-dimensional cross section is a square. Which original figure could result in the square after being cut?
octagonal pyramid
octagonal pyramid
square prism
square prism
triangular prism
triangular prism
triangular pyramid
triangular pyramid
Answer:
octagonal pyraimed and squre prims
Vera had 96 marbles.During a game,he lost 36.What is percentage of his marbles je had remaining????
Answer:
62.5%
Step-by-step explanation:
96 - 36 = 60
60/96
simplified = 62.5% remaining
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,
How much commission did Mrs. Montgomery earn last month?
What was her total pay for the month?
Round your answers to two decimal places.
try using the steps in my question i have one just like you
Step-by-step explanation:
Evaluate −6 − (−1). (1 point)
Select one:
a. −7
b. 5
c. −5
d. 6
Factor completely and then place the factors in the proper location on the grid. 4 a2 - 8 a - 5
Step-by-step explanation:
(2a + 1)(2a - 5)
-1/2 and 5/2 are factors
point on graph are (-1/2,0) (5/2,0)
for the water balloon fight your mom filled up 100 balloons with 5 gallons of water how many ounces of water did she use make sure to label your ounces 
Answer:
Step-by-step explanation: I don’t know
I need help with this
Answer:
27 1/2
Step-by-step explanation:
Write an equivalent expression to m-(8-3m) without parentheses. Write in the boxes
Answer: 4m-8
Step-by-step explanation:
Remember to distribute the negative sign!
m-8+3m
4m-8
Answer: 4m-8
Step-by-step explanation:
Distribute the negative sign
m - 8 + 3m
4m-8
14 + 6z - 10 + 9z equaled to?!
Answer:
4 + 15z
Step-by-step explanation:
Is your simplified expression.
Answer:
15z + 4
Step-by-step explanation:
6z + 9z = 15z14 - 10 = 4Put them together: 15z + 4I hope this helps!
A rectangular prism has a height of 20 cm, length of 7 cm and width of 5 cm.
Use the volume formula to find the volume of this prism.
Plz help me I need help with math plz anyone who good at math
Answer
6 is the correct answer.
Step-by-step explanation:
You need to know sin(60) = root(3)/2 = a/(4root(3)), then you can solve for 'a', get a = 6.
Please helpI suck your money
Answer is in the file below
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Layla walks at a rate of 3 miles per hour. At this rate,how far he walk in 4 hours
I don't understand this, please help
sameeee.
nice brooooo.
Answer:
Octagon:
Sum = 1080
One interior angle = 135
14-gon:
Sum = 2160
One interior angle = 154.286
20-gon:
Sum = 3240
One interior angle = 162
Step-by-step explanation:
Sum of angles in a polygon -> sum of angles = (n – 2)180°
one interior angle = sum of angles/n
n = number of sides
one interior angle = sum of angles/n
Octagon:
Sum = 1080
One interior angle = 135
14-gon:
Sum = 2160
One interior angle = 154.286
20-gon:
Sum = 3240
One interior angle = 162
This is the pic to the question :)
What’s the ordered pair for each coordinate.
A
B
C
Unit 3 Mid - Assessment
The time in the coordinate grid passes through the points( 4, -3)and (6,-1). What is the value of B if written in a slope-intercept form of y=Mx+b
Chris owns a bike rental shop.he rents bikes for $15 an hour. on Friday,he has rented bikes for a total of 52 hours. how much did he make?
Answer:
780
Step-by-step explanation:
15*52=780
Solve the inequality:
3z−1≤−7
Select one:
z≥2
z≥−2
z≤−2
z≤2
Answer:
[tex]z \leqslant - 2[/tex]
Step-by-step explanation:
1) Add 1 to both sides.
[tex]3z \leqslant - 7 + 1[/tex]
2) Simplify -7 + 1 to -6.
[tex]3z \leqslant - 6[/tex]
3) Divide both sides by 3.
[tex]z \leqslant - \frac{6}{3} [/tex]
4) Simplify 6/3 to 2.
[tex]z \leqslant - 2[/tex]
Therefor, the answer is Option C.
Felicity needs to buy 3 dozen cookies for a party. The first 16 cookies cost $0.28 each. The rest cost $0.19.
What is Felicity's total cost?
Answer: $8.28
Step-by-step explanation: 3 dozens are 36 cookies. The first 16, $0.28 each will be $4.48. The rest will cost $0.19 each so $0.19 x 20 = $3.80
$4.48 + $3.80 =
Answer:$8.28
Step-by-step explanation
Multiply 16x0.28 you will get $4.48 then
you Multiply 20x0.19 you get 3.8 also known as 3.80 you add
3.80+4.48+$8.28
Due NOW!!! Please help!
Answer:
At x = 7 and x= 1
Step-by-step explanation:
Set each equation equal to 0 and solve.
x - 7 = 0
x = 7
x-1 =0
x = 1
A membership at Gisele’s Gym costs $145 to join and $3 for each visit.
A membership at Freddie’s Fitness costs $75 to join and $5 for each visit.
For which number of visits would both locations have the same total cost?