Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:
[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]
So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:
[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]
Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴
[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]
= 2.02955
Which combination of shapes can be used to create the 3-D figure?
-Two regular pentagons and have congruent rectangles
-Two regular decagons and 10 congruent squares
-Two regular pentagons and five congruent squares
-Two regular decagons and 10 congruent rectangles
The combination of shapes that can be used to create the 3-D figure is; Two regular decagons and 10 congruent rectangles.
What combination of shapes can be used to create the 3-D figure?From observation of the task content, if follows that the top section of the 3-D figure is a decagon (a regular polygon of 10 sides).
Hence, two decagons are needed and 10 congruent rectangles used which represents the height of the figure are needed.
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Answer: D
Step-by-step explanation:
well cause they look like rectangles and then they have two of those things on the top and bottom ill comment on my question if I get it right, not to mention if u count the sides of the figure you'll see that they're is 10 of them lol
D: Two regular decagons and 10 congruent rectangles
couldn't comment on it but I got it right lol have a good day!
The 4th grade is planting a garden for a fundraiser at school. The garden has an area of 56 square feet. The length of one side is 7 feet. What is the width of the garden?
A. 56 feet
B. 7 feet
C. 8 feet
D. 49 feet
This year, a small business had a total revenue of $14,600. If this is 27% less than their total revenue the previous year, what was their total revenue the previous year?
Given:
The total revenue of this year = $14,600
This year revenue is 27% less than their total revenue in the previous year.
To find:
The total revenue in the previous year.
Solution:
Let x be the total revenue of the previous year.
This year revenue is 27% less than their total revenue the previous year.
Revenue in this year = Revenue in previous year - 27% of it
[tex]14600=x-\dfrac{27}{100}x[/tex]
[tex]14600=x-0.27x[/tex]
[tex]14600=0.73x[/tex]
Divide both sides by 0.73.
[tex]\dfrac{14600}{0.73}=x[/tex]
[tex]20,000=x[/tex]
Therefore, the total revenue in the previous year is $20,000.
Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.
Answer: x=233
Step-by-step explanation:
The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:
|AC|² = |AB|² + |BC|²
13²=8²+ |BC|²
|BC|=10.25
The missing side of this right triangle will be 10.25.
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Do u know rulers take 2# I already ask this question its just take I put the wrong file
Answer:
9 and a half inches
Step-by-step explanation:
Just count via the ruler!
Answer:
9 4/10 inches
Step-by-step explanation:
look at where the red dotted line to the right falls on the ruler. It's not quite on 9 and a 1/2 but on the line just before that.
hope this helps
Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity is he driving?
[Hint: Use d = vt.]
Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.
Answer:
$475 + 4% (19 percent) = $494 a year.
Step-by-step explanation:
What is the volume of the rectangular prism
A 11cm
B 24cm
C 30cm
D 36cm
Answer:
D, the volume of the rectangular prism is 36 cm
Step-by-step explanation:
2 x 3 x 6 = 36
Help me guys pleased and thank you
Answer:
#5Area of side faces:
A = 2(18 + 14)*14 = 896 cm²Area of bottom face:
A = 18*14 = 252 cm²Area of 2 triangular faces:
A = 16*14 = 224 cm²The height of the remaining triangular faces:
h² = 16² - (18/2)² + (14/2)² = 224h ≈ 15 cmThe area of 2 triangular faces:
A = 15*18 = 270 cm²Paper needed:
896 + 252 + 224 + 270 = 1642 cm²#6Let the perimeter of the base is P.
If the height is increased by 1.5 cm then surface area is increased by:
1.5PSimplify 12(3+5y)
A.96y
B.96-8p
C.36+5y
D.36x+60y
Answer:
60y + 36
Step-by-step explanation:
Answer: D. 36+60y
Step-by-step explanation:
12(3+5y)
36+60y
This equation is all about carrying over the 12 and multiplying against 3 and 5y.
Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
square side = 57
hexagon side = 38
Step-by-step explanation:
x = side length of square
y = side length of hexagon
x = y + 19
4x = 6y
substitute for x:
4(y + 19) = 6y
4y + 76 = 6y
subtract 4y from each side of the equation:
2y = 76
divide both sides by 2:
y = 38
x = 57
Answer:
Hi there,
Make the side of the hexagon = x
Side of square = x + 12
Both figures have the same perimeters.
4(x + 14) = 6x
4x + 56 = 6x
Collect like terms:
6x - 4x = 56
2x = 56
x = 28
Length of hexagon side = 28 feet
Length of square side = 42 feet
Hope this helps :-)
Find the surface area of the square pyramid
pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Step-by-step explanation:
The model that illustrates the relationship is 4x=10.404x=10.40
The cost of each ice cream was x=\$2.60x=$2.60
Step-by-step explanation:
Let
x----> the cost of one ice cream
we know that
The linear equation that represent this situation is
4x=10.404x=10.40
solve for x
Divide by 4 both sides
x=10.40/4x=10.40/4
x=\$2.60x=$2.60
Answer:
First answer is y = 2.6 (or answer two)
Second answer is Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)
Third answer is
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)
Step-by-step explanation:
Correct on edge 2021
and i did the calculations
I hope this helped have a great day!
Solve and check. All steps must be shown.
5x + 15 = 75 - 25x
Answer:
X = 3
Step-by-step explanation:
Answer:
= 2
Step-by-step explanation:5x+15=75-25x
We move all terms to the left:
5x+15-(75-25x)=0
We add all the numbers together, and all the variables
5x-(-25x+75)+15=0
We get rid of parentheses
5x+25x-75+15=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2
Can somebody explain how to solve this pls??
Answer:
1: domain: 1, 3, 5, -2, -3
Range: 1, 3, 5, 1, -3
2: Domain: 2, 1, -1, -3, -3
Range: 3, -4, -2, 1, 3
Step-by-step explanation:
the domain is the x intercepts, so if the coord is (5, 7) the domain would be 5
The range is the y intercept, so if the coord would also be (5. 7) the range would be 7
and yea uh tell me if i did anything wrong
Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.
→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.
Which number sentence best represents this situation?
A. 12 + 7 + 2 = y
B. 12x · 2 + 7 = y
C. 12x + 7 = y
D. 12x - 7 = y
Answer:
i think the answer is C. 12x+7=y :)
Step-by-step explanation:
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
the required probability is 0.0071
Step-by-step explanation:
Given the data in the question;
we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.
so total number of combinations for the narrowed down metrics is computed as follows;
using multiplication rule:
⇒ 4 × 5 × 7 = 140 ways
Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;
⇒ 1 / 140
{ assuming that the narrowed down choices have within it the correction combination }
= 0.007142 ≈ 0.0071 { four decimal place }
∴ the required probability is 0.0071
What are the missing numbers?
Can someone answer this? I’ll give points + brainalist
3people equally share 4 oranges. How many oranges
does each person get?
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
4/3=[tex]1\frac{1}{3}[/tex]
Answer:
4 divided by 3 = about 1.33
Step-by-step explanation:
fraction form is 1 1/3
WHAT IS (1+1)*0 HELP!
Answer:
0
Step-by-step explanation:
anything times zero is zero
.........................
Answer:
lol
Step-by-step explanation:
The Smith family went out to dinner.
The meal cost $65.56.
The sales tax is 2.5% of the meal.
The tip was 18% of the meal and the tax.
There are 6 people in the Smith family.
What was the cost per person for the meal, including sales tax and tip?
Answer:
13.22
Step-by-step explanation:
Rectangle A B C D graphed in the coordinate plane. The following are the vertices of the rectangle: A(--2,2) B(6,2) C(6,3) D(--2,3)
What is the area of rectangle ABCD?
Answer:
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Step-by-step explanation:
If a student answers 42 out of 48
questions correctly on a quiz, what
percentage of questions did she
answer correctly?
Answer:
She answered 87.5% correctly.
Step-by-step explanation:
100÷48=2.083
2.083×42=87.5
The percentage of student answered correctly is 87.5%.
What is percentage?A percentage, a relative value indicating hundredth parts of any quantity.
How to find the prcentage of a number of quantity?The following formula is a common strategy to calculate a percentage:
Determine the total amount of what you want to find a percentage.Divide the number to determine the percentage.Multiply the value by 100.According to the given question.
Total number of questions = 48
Total number of questions which are answered correclty by a student = 42
Therefore, the percentage of question the students answered correctly is given by
[tex]Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100[/tex]
[tex]\implies percentage = \frac{42}{48} \times 100[/tex]
[tex]\implies percentage = 0.875\times 100[/tex]
[tex]\implies percentage = 87.5\%[/tex]
Hence, the percentage of student answered correctly is 87.5%.
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
129°
Step-by-step explanation:
the two angles are vertically opposite.
Answer:
angle f= angle g= 129°
Step-by-step explanation:
angle g and f are vertically opposite angles and hece should be equal.
Hope it helps. Please mark as the brainliest.
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answer:
43/30
Step-by-step explanation:
Answer:
1 13/30
Step-by-step explanation:
6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.
5/6 + 3/5 = 25/30 + 18/30
=
43/30 which is equal to 1 13/30.
I will give BRAINLIEST!!!The distance between P and T on the coordinate grid is units. (Input whole numbers only) 25 20- P. T -50 40 -30 -20 -10 0 10 20 30 40 Numerical Answers Expected! Answer for Blank 1:
Answer:
P and T are 25 units apart.
HELP PLEASE THIS IS A TEST FOR NEXT YEARS CLASS
A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms.
Which expression represents the number of charm sets Mrs. Thompson bought?
A. 20 / (3 + c)
B. 20 x 3 + c
C. 20 / 3 + c
D. 20 x (3 + c)
Answer:
20 / (3 + c)
Step-by-step explanation: