Answer:
14 years
Step-by-step explanation:
To find the answer, you have to use the formula to calculate the time period:
t=(1/r)*(A/P-1), where:
t= time period
r= rate of interest=5%
A= accrued amount=$8,500
P= principal amount=$5,000
Now, you can replace the values in the formula:
t=(1/0.05)*(8,500/5,000-1)
t=20*0.7
t=14
According to this, the answer is that the money has been 14 years in the account.
?/24 A refrigerator is priced at $525.50. There is a 7% sales tax rate. What is the sales tax for the refrigerator in dollars and cents? Round to the nearest penny
Answer: The sales tax is $36.79
Step-by-step explanation:
Multiply the sales tax percent by the money to find how much the sale tax is.
7% * 525.50 = 36.785 which rounds to 36.79 to the nearest penny.
The required amount of sales tax for the refrigerator is $36.785.
As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
The total price of the sales tax = $525.50
Sales tax is 7%,
sales tax= 525.50 × 7%
sales tax = $36.785
Thus, the required amount of sales tax for the refrigerator is $36.785.
Learn more about percentages here:
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The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 720720 feet of fencing available, what is the maximum possible area of the pasture
The correct value is 720 ft of fencing.
Answer:
Max Area = 64800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
720/4 = 180 feet
So, we want a square 180 ft by 180 ft
however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.
Thus,we now have a rectangle with dimensions: 180 ft by 360 ft
Area is given by;
area = length × width
Maximum Area = 180 × 360
Max Area = 64800 sq.ft
what does 7/8-6/7 equle
Answer:
1/56
Step-by-step explanation:
7
8
−
6
7
=
1
56
(Decimal: 0.017857)
Answer: 0.01785714285 is what it is in decimal form AND
1/56 in fraction form.
Step-by-step explanation:
So we are given 7/8 - 6/7.
WE have to find what it is:
0.01785714285 is what it is in decimal form AND
1/56
A ball will be drawn from a bag containing 20 balls numbered 1 through 20 . If each ball is equally likely to be drawn, what is the probability that the number on the ball drawn will be even or less than 5 ?
Answer:
7/10
Step-by-step explanation:
20 balls.
10 even, 10 odd.
4 numbers less than 5.
That is 14/20 --> 7/10
Most likely.
Probability that the number on the ball drawn will be even or less than 5
= 3/5
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given,
Total no. of balls = 20
All balls are numbered with numbered 1 through 20.
Balls with even numbers or less than five:
1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20
No. of balls with even numbers and less than five = 12
Probability that the number on the ball drawn will be even or less than 5 = No. of balls with even numbers or less than five/Total balls
= 12/20
Probability = 3/5
Hence, 3/5 is the probability that the number on the ball drawn will be even or less than 5.
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i need to simplify this expression
1+4(2x-3)-x
Answer:quit
Step-by-step explanation:
How many solutions does the system have?
y= -3x + 9
3y = -9x + 9
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
B. No solutions
Step-by-step explanation:
y= -3x + 9
3y = -9x + 9
Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.
y = -3x + 9
y = -3x + 3
Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.
Answer: No solutions
Answer:
B
Step-by-step explanation:
Khan
Let f(x) = x^2 + 4 and g(x) = 7x + 13. Find g(f(3)).
Answer:
104
Step-by-step explanation:
f(x) = x^2 + 4
g(x) = 7x + 13.
Find g(f(3))
Find f(3) = 3^2+4 = 9+4 = 13
Then find g(13) = 7*13 + 13 = 91+13 = 104
Answer:
91x+169
g(f(3))
(7x+13)(3^2+4)
(7x+13)(9+4)
(7x+13)(13)
therefore..91x+169
Jane drew a point A located at (-2,-3) and point C located at (8,-3). What is the x-coordinate of point B that bisects? AC
Answer:
x-coordinates of point B = 3
Step-by-step explanation:
If the extreme ends of a segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], coordinates of the midpoint of the given segment will be = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Coordinates of the extreme ends of segment AC are A(-2, -3) and C(8, -3).
Since B is a point that bisects the segment AC, coordinates of point B will be,
= [tex](\frac{-2+8}{2},\frac{-3-3}{2})[/tex]
= (3, -3)
Therefore, x-coordinates of the point B will be = 3
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , thus
[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
(iii) sin (90° - A) cos (90° - A)=tanA/
1+tan²A
Answer:
See below
Step-by-step explanation:
[tex]A=\theta[/tex]
[tex]$\sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]
According to cofunctions identities:
[tex]\boxed{\sin(90\º - \theta)=\cos(\theta)}[/tex]
[tex]\boxed{\cos(90\º - \theta)=\sin(\theta)}[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]
Once
[tex]$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)} $[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{1+ \frac{\sin^2(\theta)}{\cos^2(\theta)}}$[/tex]
Take
[tex]$1+\frac{\sin^2(\theta)}{\cos^2(\theta)}}=\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} $[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} }}$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]
Once
[tex]\boxed{\sin^2(\theta) + \cos^2(\theta)=1}[/tex]
[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{1 }$[/tex]
[tex]$\cos(\theta) \sin(\theta) = \sin(\theta)\cos(\theta)$[/tex]
[tex]$\therefore \sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]
Kaylee borrowed some money from her friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Kaylee originally borrowed $120 from her friend and after 5 weeks, she still owed her friend $60. Write an equation for L,L, in terms of t,t, representing the amount Kaylee owes her friend after tt weeks.
Answer:
L=120−12tt
Step-by-step explanation:
$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt
Una paid $2.14 for a notebook. She gave the cashier a $5 bill.
How much change did she receive?
Answer:
$2.86 thats how much sh gets back
Answer:2.86
Step-by-step explanation: 5 - 2.14 = 2.86
show the following numbers on number line 3/2, 5/2, -3/2
When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.
Since -3/2 is less than 0, it will go to the left of 0.
Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.
Remember to use sub points of 1.
Best of Luck!
Graph the function. g(x)=2(x +2)(x +6)g(x)=2(x+2)(x+6)
Answer:
Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( 4 , − 4 ) Focus: ( 4 , − 15 4 ) Axis of Symmetry: x = 4 Directrix: y = − 17 4 x y 2 0 3 − 3 4 − 4 5 − 3 6 0 image of graph
Hoped I helped
Step-by-step Explination + Answer:
Graphing
So the vertex is at (-4,-8)
In order to graph, we need the vertex and another point. That other point can be one of the zeros we found, like (-2,0)
20pt. please help i need it for today :(
_____
the cost of cheese pizza is $9.99 Plus $0.35 for each additional topping t.
_____
A. Write an inequality that can be used to represent the cost of a pizza that is at most $12 .
B. what is the most number of toppings that a pizza can have and still be at most $12.
Answer:
The inequality is this 9.99+.35x>12
It cant be over 12 so it has to be less than or equal to 12. The most amount of toppings you can have is 5.
:)
Answer:
9.99 + 0.35x > 12
Step-by-step explanation:
Me.Dorado has completed 75% of his morning run which of lowing sets does NOT represent 75%
Answer:
H.
Step-by-step explanation:
find the square of 12 find the square root of 196,324
Step-by-step explanation:
the square of 12 =12×12 =144
and the square root of 196324 = ✓196324
= 443.084642
-2y+9=3 uiiii iiiiiiiiiiiiiiiii
Answer:
y=3
Step-by-step explanation:
-2y+9=3
Step 1: Subtract 9 from both sides.
−2y+9−9=3−9
−2y=−6
Step 2: Divide both sides by -2.
−2y /−2 = −6 /−2
y=3
Answer:
y=3
Answer:
y=3
Step-by-step explanation:
Subtract 9 from both sides.
−2y=3−9
Simplify 3-9 to -6
-2y=-6−2y=−6
Divide both sides by -2
y= -6/-2
Two negatives make a positive.
y= 6/2
simplify
y=3
hope i helped
-lvr
How many solutions are there to the equation below?
x² = 9
A. O
B. 4
C. 9
D. 1
E. 2
Answer: E. 2
Step-by-step explanation:
x²=9
x=±3 ⇔ since it is square (any value after square will always be positive), the value can be negative or positive.
There are 2 solutions: 3 and -3
Hope this helps!! :)
Write down 2 equivalent ratios to 3:5.
a retailer sold a shirt for rupees 1000 and he made a profit of 25% find the purchased price of a shirt
Answer:
750 rupees is used to make shirt
250 rupees is profit
Step-by-step explanation:
If the retailer sold the shirt for 1000 rupees and got 25% profit then that means 1/4 is profit and 3/4 is how much the retailer spent to make the shirt.
So 1000 times 3/4 is 750 which is how much the shirt really cost and
1000 times 1/4 is 250 and that is the retailers profit.
Explain how to find the price of 4 pounds of peaches given that 6 pounds of peaches is $5.99
Answer:
$3.99
Step-by-step explanation:
If 6 pounds is $5.99
We can round that to $6
Meaning $1 per Pound. Now since 4 pounds times $1 per pounds equals $4. Turn that down one cent. You get $3.99
Please give brainliest. Thanks
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
[tex]\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6[/tex]
PLEASE help me on this it’s GEOMETRY DO NOT waste my answers PLEASE help me it’s URGENT
Answer:
Step-by-step explanation:
I think it's B (GBF=ECF) but I could be wrong. I only took geometry last year but I think that's your best option... good luck!
Factor the polynomial. 4x^2+4xy+y^2
Answer:
(2x)^2 + 2(2x)(y) + (y)^2
(2x+y)^2
Step-by-step explanation:
What are the coefficients in the expression 5x3 + 14x2 - 2x + 6?
Answer: 5,14 and -2
Step-by-step explanation:
The coefficient is the number next to the variable.
So this case the coefficients are 5,14 and -2
Answer:
Step-by-step explanation:
15+28-2x+6
49-2x=
x=-49/2
Which of the following expressions best describes what is modeled on the number line?
(-1)(-4)
4(-1)
1(-4)
4(1)
Answer:
4(-1)
Step-by-step explanation:
Answer:
4(-1)
Step-by-step explanation:
I NEED HELP QUICK Complete the division problem by determining the number that should be placed in the box. (4 points)
Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem.
Answer:
560
Step-by-step explanation:
547
14 | 7658
-7000
658
- 560
98
- 98
0
The equation Y = mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?
Which graphs have rotational symmetry? Check all of the boxes that apply.
On a coordinate plane, a cubic function has an x-intercept of (0, 0).
On a coordinate plane, an absolute value function opens down.
On a coordinate plane, an oval is in quadrant 1.
Answer:
The correct option are;
On a coordinate plane, a cubic function has an x-intercept of (0, 0)
On a coordinate plane, an oval is in quadrant 1
Step-by-step explanation:
Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape
For a cubic function that has x-intercept = (0, 0) we have;
y = f(x) = a·x³ + b·x² + c·x
Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°
The shape of an oval looks the same when rotated through 180°
Answer:
This graph has rotational symmetry about the point
(0,0).
This graph has rotational symmetry about the point (2,4).
Step-by-step explanation:
second part on edge 2020 !