$3828.85 is in the account at the end of 5 years which is correct option(B).
What is Compound interest?
Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.
p = $3000
r = 5%
t = 5 years
[tex]A = p(1+\frac{r}{100} )^t[/tex]
substitue the values of p,r and t in formula,
[tex]A = 3000(1+\frac{5}{100} )^5[/tex]
[tex]A = 3000(1+0.05} )^5[/tex]
[tex]A = 3000(1.05} )^5[/tex]
A = 3000(1.276)
A = 3828.85
Hence, $3828.85 is in the account at the end of 5 years.
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What is the length of the hypotenuse
Answer:
15ft
Step-by-step explanation:
a^2 + b^2 = c^2
12 or 9 can equal to b or a
12^2 + 9^2 = c^2
144 + 81 = c ^2
225 = c^2
Square root of 225
15 = c
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81+144 = c^2
225 = c^2
15 = c
How to change miles per hour to feet per second?
Answer:
1 mph = 1.46666667 fps
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 182 cm 2 , what is the length of the diagonal?
Answer:
20.93cm
Step-by-step explanation:
The shape of the solid is rectangle
Area = length × width
But the width (w) = 2 times the length minus 2
W = 2L - 2
A = L × (2L - 2)
Area of the rectangle = 182cm²
A = 2L² - 2L
182 = 2L² - 2L
2L² - 2L - 182 = 0
L² - L - 91 = 0
Solving the equation using quadratic formula,
A = 1, b = -1, c = -91
L = [-b±√(b² - 4ac)]/2a
L = [-(-1) ± √((-1)² - 4*1*(-91))] / 2(1)²
L = [1 ± √(1² + 364)] / 2
L = [1 ± √(365)] / 2
L = (1 ± 19.10) / 2
Note : Since we're working with length, we can't have a negative value as a solution hence we would not test both sides
L = (1 + 19.10) / 2 = 10.05cm
Width = 2L - 2
W = 20.1 - 2 = 18.10cm
Length = 10.05cm
Width = 18.10cm
Diagonal of the rectangle = ?
To find the diagonal, we'll use pythagorean theorem,
A = diagonal
B = length
C = width
a² = b² + c²
a² = (10.05)² + (18.10)²
a² = 110.25 + 327.61
a² = 437.86
a = √(437.86)
a = 20.93cm
The diagonal of the rectangle is 20.93cm
EASY!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer
B. 608
Step-by-step explanation:
38-14=24
24*16=384
14*16=224
384+224=608.
you are welcome!!
The area of the figure is 608 square centimeters.
How to determine the area of the trapezoid?
Given
A trapezoid with a short base of eighteen centimeters, long base of thirty-eight centimeters, height of sixteen centimeters, and diagonal side lengths of twenty centimeters.
Thus,
38-14=24
24*16=384
14*16=224
384+224=608.
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Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
Yes, 2
Step-by-step explanation:
Got it right on Edge 2020
Answer: 1: YES 2: 2
Step-by-step explanation:
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP to get Brainliest!
First, we need to make a visual. I can do this by making a list, like in a data set. Let b = blue and r = red.
(b, b, b, r, r, r, r)
Note that this is not necessarily the order.
Now we can modify the order.
1. The first car is blue
This is already done!
2. The last car is blue.
We can trade the second blue with the last red.
(b, r, b, r, r, r, b)
3. The middle car is blue.
We can trade the middle red with the third blue.
(b, r, r, b, r, r, b)
This arrangement we have created follows the rules. It is one possible queue!
5. But we aren't done yet! We need to figure out if there are any more arrangements.
There is none. We know this because there are only three cars that are blue, and three spots these cars MUST park in.
Therefore, we could not swap any colors without maintaing the rules.
Answer: There is one possible arrangement of the queue:
(b, r, r, b, r, r, b)
Please let me know if this was helpful, or if you have any questions. If you have time, I'd be so grateful for a rating!
Answer:
144
Step-by-step explanation:
According to the question, we can represent the pattern of the red and blue cars in the following way below:
B, R, R, B, R, R, B
We are given that there are 3 blue and 4 red cars in total
The first blue car has 3 possibilities, and each time a blue car is parked, we now have one less possibility (the same can be done with the red cars)
So, the number of possibilities for each spot in the pattern can be multiplied together:
3 x 4 x 3 x 2 x 2 x 1 x 1 = 144
Hope this helps!
Which is the graph of the function f(x) = x2 + 2x + 3?
5
1+
to 4 3 2 1
2 3
4 5 x
-2
-3
3
2
Answer:
1. C
2. UNKNOWN
3. (x-4)(x-2)
4. 5, -7
5. vertex=(3,4)
minimum value=4
6. UNKNOWN
7. 5/3
8. D
9. C
Step-by-step explanation:
Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84
Answer: the answer choice “d” is correct
Step-by-step explanation:
because the different symbols mean different things and yeah
Answer:
D
Step-by-step explanation:
lesser value ------- < --------This side bigger value {open mouth}
78 < 81
81 is bigger than 78
What is the area of the figure?
PLS HELP ME THIS IS DUE TMR !
Answer:
53 in^2
Step-by-step explanation:
We can find the area of the large rectangle, without the piece missing
A = l*w
A = 7*8 = 56
Now find the area of the piece that is missing
A = l*w
A = 1*3 =3
Take the large rectangle and subtract the piece that is missing
56-3
53
What is the value of x?
8
70°
Enter your answer in the box.
30
10
X=
What is the surface area of this design?
Answer:
This is a trick question- It is actually not hard to get to 440! Here's how:
You probably already know that the tall rectangles take up 4×(5×8)=160 of surface area, and that the short rectangles take up 4×(2×10)=80 of surface area. This looks like an office building so let's call it one.
You probably also saw the big, 10×10=100 inch area underneath the design.
BUT, did you know that the small, 5×5 inch square on top can be COMBINED with the weird, L-shaped flat-roof part in the middle? That's right! the 5×5 inch square can be seen as part of a full 10×10 inch square sitting on top of the short, wide rectangles.
If you look at the L-shaped flat roof, you can see that it's actually 3 more 5×5 squares. You need to connect the 10-inch dimension on the bottom with the 5-inch one on the top.
SO, the answer is gonna be:
160 in² in tall rectangles, +
80 in² in short rectangles, +
100 in² on the bottom, +
100² on the combined top small square and corner roof
Add those all up using some quick maths, and you get 440 in².
Some more details if you're still confused:
The sides of the tall rectangle? It's 5 inches by 8 inches, so each side 8×5=40 in². They go all around the tall box, so there are 4 of them. 40+40+40+40=160, or in other words, 40×4=160.
Do you see the short, wide rectangles on the bottom? they're 10 inches by 2 inches each, so each one is 2×10=20 in². They also go all around the short box, so they add up to 20+20+20+20=80, or in other words, 20×4=80.
Now I want you to think about the bottom of the design, underneath. It is 10 inches by 10 inches, so it is 10×10=100.
Finally, the small square on top of the tall rectangle, and that L-shaped part. Together, they make another 100, or 5×5 on top plus 5×10 + 5×5 again for the parts of the L-shaped roof, or 25+50+25, which equals 100.
Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed
Answer: 3.21%
Step-by-step explanation:
Interest = (1/t)(A/P - 1)
100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much
Answer:
1. x = -4
y = -20
2. x = -1
y = 3
3. x = 7
y = 4
4. x = -6.5
y = -10.5
hope this helps :) sorry if I get it wrong!
Answer:
1) x=−4, y=−20
2) x=−1, y=3
3) x = 7 , y=4
4) x = -6.5 , y = -10.5
Step-by-step explanation:
1) y=5x;−3x+2y=−28
solving system by substitution:
substitute y =5x into 2nd equation:
-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4
plug in x in any equation and solve for y = 5* -4 = -20
2) solving system by elimination:
Multiply the first equation by 7, and the second equation by 5.
7(4x−5y=−19)
5(3x+7y=18)
----------------------
28x−35y=−133
15x+ 35y= 90
Add them up to eliminate y:
43x=−43 divide both sides by 43
x=−1
plug x back into 1st equation to solve for y
4x−5y=−19
(4)(−1)−5y=−19
−5y−4=−19 add 4 to both sides
−5y=−15 divide by -5
y=3
3) y =4 , 5x -6y = 11
plug in 4 for y in 2nd equation and solve for x:
5x -6* 4 =11 simplify
5x - 24 = 11 add 24 on each side
5x = 11 +24 simplify
5x = 35 divide by 5 on each side
x =7
4) y = x -4, 2x - y = -2.5
use substitution method:
2x -(x-4) = -2.5 distribute ( )
2x-x+4 = -2.5 simplify
x + 4 = -2.5 subtract 4 on each side
x = -2.5 -4
x = -6.5
plug in -6.5 for x in 1st equation and solve for y:
y = -6.5 -4
y = -10.5
What is the slope intercept form of y-(-11)=x-(-11)
Answer:
y = x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
y - (- 11) = x - (- 11), that is
y + 11 = x + 11 ( subtract 11 from both sides )
y = x ← in slope- intercept form
Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10
Answer:
x + 2y = 10 = x + y = 5
Step-by-step explanation:
x + 2y = 10
divide 2 by 10
x + y = 5
This is all I really know how to do sorry
☺️☺️☺️☺️☺️☺️help please and thank you:)
Answer:
the anwser is a
Step-by-step explanation:
can someone answer this I'll mark brainliest for the correct one i don't know what phrases they are talking about either so um yeah if someone could clarify that too that would definitely be the brainliest but you have to answer the original question too maybe these will help too the actual answers for some reason they change that....idk why but yeah, please answer
Answer:
Is this PSAT or where are u answering this question?
Wha do you call a pair of angles that add up to 180 degrees?
Please help.
Answer:
supplementary angles
Step-by-step explanation:
Supplementary angles add to 180
Complementary angles add to 90
The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y represents the percentage filled. Which statement is true? A. The solution is nonviable because the percentage filled cannot be negative. B. The solution is nonviable because the time cannot be negative. C. The solution is nonviable because the time cannot be partial minutes. D. The solution is viable.
Answer:
D?
Step-by-step explanation:
The true statement is ;B. The solution is nonviable because the time cannot be negative.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
We have been given that the graphed system represents the rate at which two trucks are being filled.
where x represents the time in minutes and y represents the percentage filled.
When both the line are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.
The true statement is ;B. The solution is nonviable because the time cannot be negative.
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can any one help
.
i attached a pnj to for the question
Answer:
oh wow
Step-by-step explanation:
LOLLLLLLLLLLLLLLLLLLLLLLLLLL
Darnell is planning on selling his car next summer, which is one year from now. He wants to make sure his car is worth at least $8,000 dollars when he sells it. His car currently has 25,000 miles on it. In order to make sure his car is worth at least $8,000 when he sells it, what is the maximum amount of miles he can drive his car in the next year?
Answer:
10,000 miles
Step-by-step explanation:
First of 25,000 miles =8,000 dollars to the cars worth so the maxium account you can add to the mileage is 10,000 in order to keep the regulations and guidelines of car companies.
The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.
Answer:
x = 17 y= -38
Step-by-step explanation:
x + y = -21
y = x - 55
It doesn't matter whether x or y is 55 less than the other right now.
substitute for y:
x + x - 55 = -21
solve for x:
2x = 34
x = 17
solve for y:
17 + y = -21
y = -38
A triangle height is 2/4 mm and the base is 8 mm. What is the area of the triangle?
Answer:
the answer would be 2mm^2
Answer:
2
Step-by-step explanation:
Triangle Area Formula: (b*h)/2
B: 8
H: 2/4= 1/2=0.4
8*0.5/2= 2
Area ofthe triangle= 2
while abbie is jogging she moves forward 85 cm every second how many seconds will abbie take to jog 8.5 meters
Answer:
85 cm = .85 meters
8.5 / .85 = 10 seconds
Step-by-step explanation:
If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?
Answer: 54.43
Step-by-step explanation:
381 / 7
What is the surface area of this design?
Answer:
440 inches squared - the last option
Step-by-step explanation:
Step 1. Surface area of top square.
5 x 5 = 25 inches sq
Step 2. Surface area of the 4 sides of the cuboid.
5 x 8 = 40 inches sq
40 x 4 = 160 inches sq
Step 3. Surface area of the large square.
10 x 10 = 100 inches sq
100 - 25 (because it's being covered) = 75 inches sq
Step 4. Surface area of the 4 sides of the large flat cuboid.
2 x 10 = 20 inches sq
20 x 4 = 80 inches sq
Step 5. (OPTIONAL) Surface area of the bottom
10 x 10 = 100 inches sq
Step 6. Add up all.
25 + 160 + 75 + 80 (+ 100 if including the base) = 340
We can conclude that we have to include the base as well because 340 inches sq is not an option listed.
340 + 100 = 440 inches sq
440 inches sq is the last option
Hope this helps :)
A factor of thirty is chosen at random what’s the probability that it’s a two digit number
Answer:
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375 (37.5%)
Step-by-step explanation:
HELP PLEASE
Hudson has xx nickels and yy dimes. He has at most 13 coins worth at least $1 combined. Solve this system of inequalities graphically and determine one possible solution.
I NEED THE 2 INEQUALITIES, AND THE ANSWER
Answer: $ 12.05
Step-by-step explanation:
Answer:
Step-by-step explanation:
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
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Jasmine decorates 7 bags . She uses 5/8 yard of ribbon on each bag how many yards if ribbon does jasmine use in all 100 points pls help
Answer:
4 3/8
Step-by-step explanation:
7*5/8=
7/1* 5/8
7*5=35
1*8=8
35/8=4 3/8
Answer:
4 3/8 ribbon
Step-by-step explanation:
If 1 bag = 5/8 of ribbon
What about 7 bags = ?
= (7 x 5/8) ÷ 1
= 35/8 ÷ 1
= 35/8
= 4 3/8 ribbon
