Answer:
$700.000 is the interest
Step-by-step explanation:
hope the answer helps
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
The total interest is $2100.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
We have,
P = $5000
R = 7%
T = 6 years
SI = P x R x T / 100
SI = 5000 x 7 x 6 / 100
SI = 50 x 7 x 6
SI = 50 x 42
SI = $2100
Thus,
The total interest is $2100.
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What proportion of US women have a height greater than 69.5 inches?
Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5 inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].
The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69.5 - 65}{2.5}[/tex]
[tex]Z = 1.8[/tex]
[tex]Z = 1.8[/tex] has a p-value of 0.9641.
1 - 0.9641 = 0.0359
0.0359 = 3.59% of US women have a height greater than 69.5 inches.
You can learn more about the Normal distribution at https://brainly.com/question/24663213
What is the solution to the system of equations shown below?
y = -x-2
4y + 8 = x
A. No solution
B. (2,0)
C. (0,2)
D. Infinitely many solutions
Answer:
The answer is c when u solve for x it gives 0 and for y gives 2
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
Answer:
$270 in all
Just multiply 9x20 and 9x10 and add them together
find the value of x²+y² if
x+y=9 xy=14
Step-by-step explanation:
It's a system of equations.
From the first one we isolate x:
x = 9-y
And we substitute in the second one:
(9-y)y = 14
-y^2 + 9y - 14 = 0
y^2 - 9y + 14 = 0
D = 25
y1/2 = (9 +- 5)/2 = 2 or 7
y = 2 => x = 7
y = 7 => x = 2
x^2 + y^2 = 7^2 + 2^2 = 53
The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
Answer:
327.21 euros.
Step-by-step explanation:
-1/3 x + 5 ≤ 2 answerrrrrrrrrrrr
Answer: x ≥ 9
Step-by-step explanation: -1/3x + 5 ≤ 2
-1/3x + 5 -5 ≤ 2 - 5
-1/3x ≤ -3
-1/3x/(-1/3) ≤ -3/(-1/3)
x ≤ -9
x ≥ 9
Answer: Inequality form X >- 9
Step-by-step explanation:
isolte the varible by dividing each side by factors that dont cotain the variable
Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 mph for t hours and alah
respeed of 22 mph for the rest of the time. How long did Brady
ride at the slower speed? Use the variablet to
represent the time, in hours, Brady rode at 17 mph.
Answer:66 slower speed
Step-by-step explanation:
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
Take the greatest possible factor out of the square root.
Square root of 80
Answer:
4.
Step-by-step explanation:
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.
The greatest factor of 80 is
We have to determine, the greatest possible factor out of the square root of 80.
According to the question
The square root of the greatest perfect square from the list of all factors of 80.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
The greatest perfect square on this list is 16 and the square root of 16 is 4.
To determine the greatest square root of 80 following all the steps given below.
The square root of 80,
[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]
Hence, The greatest factor of 80 is 4.
For more details refer to the link given below.
https://brainly.com/question/20354909
a wedding reception seats 8 people at each table The relationship is represented by the equation p=8t where p is the number of people at t is the number of tables 
Answer:
that means its 8 * 8 = 64
There are 64 ppl
‼️DUE TODAY‼️
(Question in the picture)
Answer:
I Don't know
Step-by-step explanation:
I don't know I don't know I don't know
When two parallel lines are intersected by a transversal, alternate exterior angles are?
1. Different
2. 180 degrees
3. 90 degrees
4. congruent
If f (x)= 3x - 5 and g(x) = x^2, find (f•g)(3).
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.
work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
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Can you help this is a lot. I don't really get it
Answer:
country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5
why you take my profile picture hello.....
Factor 26r3s 52r5 â€"" 39r2s4. What is the resulting expression? 13(2r3s 4r5 â€"" 3r2s4) 13r2s(2r 4r3 â€"" 3s3) 13r2(2rs 4r3 â€"" 3s4) 13r2(26r3s 52r5 â€"" 39r2s4).
The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)
We want to factor the algebraic expression;
26r³s + 52r^(5) - 39r²s⁴
Now, we need to first find the highest common factor here and factorize out.
First of all for the letters;
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus,in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
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Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8
Answer:
D 14.8
Step-by-step explanation:
A=L*W which means length times width. 3.7x4= 14.8
Solve for x
-7x - 8 = 10x +4
Answer: put 14
Step-by-step explanation:
Describe the location of point (4,2) on a coordinate plane. Enter a number in each box to complete the sentence.
The point is
units up from the origin on the y-axis and
units to the right of the origin on the x-axis.
Answer:
2 units up and 4 units to the right.
Step-by-step explanation:
It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.
solve similar triangles (advanced)
Answer:
x = 5
Step-by-step explanation:
Thales' theorem
[tex]\frac{9}{3} =\frac{15}{x}[/tex]
[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]
hope this helps
Find the equation of the line. Use exact numbers. y =__ x +__
EXPLAIN:
Ex: the line is: y = ax + b
The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )
So: [tex]\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.[/tex]
The line: y = x - 5 = (1)x + (-5)
ANSWER: y = (1)x + (-5)
ok done. Thank to me :>
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
im stumped on this question. please help:)
Answer:
(-2,6)
Step-by-step explanation:
the actual solution to the system of equations is (-(64/27),(56/9)).
however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!
If ARST = ANPQ, which of the following is true?
Answer:
T=Q
Step-by-step explanation:
They are in te same position on the comparison
Graph the system of linear equations in desmos. identify the solution to the system of linear equations.
y=1/2x+5
2x+3y=-6
Answer:
Step-by-step explanation:
The solution is the point where the lines cross: (-6,2)
Youi can also solve the equations.
y=1/2x+5
2x+3y=-6
Use the first in the second equation to find x:
2x+3y=-6
2x+3[(1/2)x + 5]=-6
2x + 1.5x + 15 = -6
3.5x = -21
x = -6
Use this in either equation to find y:
y=1/2x+5
y=1/2[-6]+5
y = 2
The answer is (-6,2)
What is x equal to? 4/x=8/3
x equals 1.5 because it needs to be multplied by 2
Challenge question? Thanks.
Answer:
x=15
Step-by-step explanation:
the basic property is: AB/AD=BC/CD, for more info see the attachment.
can somebody plsss help me 7qt= pt pls help meeee
Answer:
8.40665 Step-by-step explanation:
45/100 in its simplest form
Answer:
9/20
Step-by-step explanation:
5×9=45
5×20=100
we need to convert it in lowest term by dividing it..