Answer:
1) Simple interest is 72 dinars
2) Total amount after 3 years is 672 dinars.
Step-by-step explanation:
Principal Amount P = 600 dinars
Interest Rate= 4% = 0.04
Time = 3 years
i) Simple Interest
The formula used to calculate interest is [tex]I=P\times r \times t[/tex]
Putting values and finding interest
[tex]I=P\times r \times t\\I=600\times 0.04 \times 3\\I=72[/tex]
So, simple interest is 72 dinars
ii) Total amount after 3 years
The formula to calculate total amount is: [tex]A=P(1+rt)[/tex]
Putting values and finding future amount A
[tex]A=P(1+rt)\\A=600(1+(0.04*3))\\A=600(1+0.12)\\A=600(1.12)\\A=672[/tex]
So, Total amount after 3 years is 672 dinars.
Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?
Answer:
Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.
Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.
Step-by-step explanation:
(Got this right off Edmentum so it's correct)
(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)
How do you answer this?
Answer:
x= -3/2Step-by-step explanation:
((4)²)^x = 1/(4)³
4²^x = 4³
thus the powers are same then
2x =-3
x=-3/2Answer:
x = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^m}[/tex]
Note that 16 = 4² and 64 = 4³ , then
[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , can be expressed as
[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex] , that is
[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]
Since the bases on both sides are equal, then equate the exponents
2x = - 3 ( divide both sides by 2 )
x = - [tex]\frac{3}{2}[/tex]
what is vertibrates
It is basically an animal which has a backbone that protects the spinal cord.
If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Answer:
nothing definite can be said and square
Answer:
option no b is correct area of circle>area of square.
Step-by-step explanation:
Help rn please!!! Urgent
Answer:
try 3 i need 20 more letters
Answer:
f(x) = 2x^2 + 12x +10
Step by step solution:
x = 1 x = 5 y = 10
f(x) = a(x+1)(x+5)
f(0) = a(1)(5) = 10
5a = 10
Divide by 5
a = 2
f(x)= 2(x+1)(x+5)
f(x) = 2(x^2 +6x +5)
f(x) = 2x^2 + 12x +10
brainliest much appreciated!
I’ll be great if you guys can explain these questions I’ll give brainliest
Answer:
both yes
Step-by-step explanation:
from my understanding an order pair means the x values from all must never match so
Answer:
no is not pairs function
La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?
Answer:
5 magdalenas
Step-by-step explanation:
Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.
Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.
If you have two points, you can only pick the first one to find the equation.
True
False
Answer:
well, it really depends but im pretty sure its false. you can start with either one and find the equation
Step-by-step explanation:
Solve 17 < 5x – 8 < 22. How many integer solutions are there?
Answer:
0
Step-by-step explanation:
To find the number of integer solutions there are to the inequality, we need to separate [tex]x[/tex] so it is on its own.
[tex]17<5x-8 < 22[/tex] (given inequality)
[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )
[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )
Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].
Hope this helps :)
Theratiooftheredcardstoblackcardsinadeckis3:10 2 more red cards are added to the deck.
The ratio of red cards to black cards is now 1:3 Work out the number of black cards in the deck.
2x - y + 3 = -1
What is y & x?
Answer:
Slope=2
x−intercept=−
2
4
=−2
y−intercept=
1
4
=4.00000
Step-by-step explanation:
find the y intercept
Answer:
(0,12)
Step-by-step explanation:
As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship. That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.
The distance a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck continues to travel at this same rate, how long will it take the truck to go 938 miles?
Answer:
14hrs
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
I LIKE YOUR CUT G!!!
Answer:
thx:)
Step-by-step explanation:
Answer:
oof
Step-by-step explanation:
Please please please please please help- will give brain
Answer:
Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.
Step-by-step explanation:
Graph them onto a graphing calculator. Let me know if you need more help!
Need help anyone know this as well? Very confusing
How do I solve this equation and find the solutions?
Answer:
x = 10
Step-by-step explanation:
x-sqrt(2x+5) = 5
2x+5 = 25-10x+x^2
x = 10
Hope this helped!
Answer:
x = 5
Step-by-step explanation:
x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)
(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²
x² - 10x + 25 = 2x + 5
x² - 12x + 20 = 0
(x - 10)(x - 2) = 0
[tex]x_{1}[/tex] = 10
[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )
10 - [tex]\sqrt{2*10+5}[/tex] = 5
10 - 5 = 5
5 = 5
What is the value of x?
(6x + 109)
(x + 179)
(4x - 349)
9514 1404 393
Answer:
17
Step-by-step explanation:
The two base angles are congruent, so we have ...
x +17 = 4x -34
51 = 3x . . . . . . . add 34-x
17 = x . . . . . . . . .divide by 3
Consider the equation Ax+By=−36. If the x-intercept is (−3,0) and the y-intercept is (0,9), what are the values of A and B?
Answer:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
The value of A and B is 12 and -4.
Given that,
The equation is Ax + By = -36.And, the x-intercept is (-3,0) and the y-intercept is (0,9).Based on the above information, the calculation is as follows:
Ax + By = -36
When (-3,0)
So,
-3A+ 0 = -36
A = 12
Now
when (0,9)
So,
0 + 9B = -36
B = -4
Therefore we can conclude that the value of A and B is 12 and -4.
Learn more: brainly.com/question/3334417
What is the equation of this graphed line?
Answer:
[tex]y=-\frac{9}{8} x+7[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal [tex]-\frac{9}{8}[/tex].
The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
Can SOMEONE HELP ME PLZ!!!!
Answer:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
Step-by-step explanation:
Transformations
The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.
There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.
Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.
Testing the rest of the points we get the same result, thus the transformations are:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
PLEASE HELP
1. Select ALL expression(s) has a value less than 4?
A) |-8|
B) |6|
C) -10
D) |-2|
Find the common difference of the arithmetic sequence 2, -3, -8,..
Answer:
-5
Step-by-step explanation:
Each number is 5 less than the last.
Please help me!!! I don’t get this what do ever....
Step-by-step explanation:
15÷3+10
5+10
15
=15,521÷15
=1034.73
=3015÷15-186
=201-186
=15
=20×15^2÷30
=4500÷30
=150
=2×15^2÷5-25
=450÷5-25
=90-25
=65
Dr. Osborne is studying a bacterial colony with a population of 30,000 bacteria. The colony is growing 5% per hour. How many bacteria will the colony contain in 4 hours?
Answer:
36,465.1875
Step-by-step explanation:
The colony grows by 5% each hour, so you take the current total of bacteria, (100%) and add 5%. Every hour, you multiply the current total by 105%.
Hope this helps :)
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation:
Hi if someone can answer the top one I’ll mark u brainliest thanks
Answer:
the answer is a
Step-by-step explanation:
i got corrected :)
Answer:
A.) 8 1/4 !!
Step-by-step explanation:
2.75 x 3 = 8.25
8 1/4
Which of the following inequalities is correct?
-9 ≥ -7
-10 > |-10|
6 ≤ |-6|
0 < -13
Answer:
The last one
Step-by-step explanation:
Answer:6 should be right
Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation
|-6|=6
6 is less than or EQUAL to 6
i need help plz i dont understand
Kenny wants to take his dog to obedience school. At sit and Stay School, 12
lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is
the better deal?
Dog Obedience Lessons
Location
Price
Sit and Stay School
$96/12 lessons
Canine Community Center
$125/25 lessons
Fill in the blanks to solve the problem.
304 QUESTIONS
The unit rate for lessons at Sit and Stay School is
$96 -96
12 lessons -12
$1
1 lesson
The unit rate for lessons at Canine Community Center is
Select
The lower unit rate is
Select
The lessons at
Select
are the better deal
SUBMIT
Answer: See explanation
Step-by-step explanation:
At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:
= $96/12 = $8
At Canine Community Center, 25 lessons cost $125. The unit rate will be:
= $125/25 = $5
The better deal is at Canine Community as it's cheaper.
The unit rate for lessons at Sit and Stay School is $8 per lesson
The unit rate for lessons at Canine Community Center is $5 per lesson
The lower unit rate is $5 which is that of Canine Community.
The lessons at Canine Community are the better deal.