Given:
Principal value = $640
Rate of interest = 3.9% not compounded
Number of years = 8
To find:
The amount after 8 years.
Solution:
It is given that the interest is not compounded. It means, we need to find simple interest.
Formula for simple interest:
[tex]I=P\times r\times t[/tex]
where, P is principal, r is rate of interest and t is time in years.
Put P=640, r=0.039 and t=8.
[tex]I=640\times 0.039\times 8[/tex]
[tex]I=199.68[/tex]
So, the interest is $199.68.
Now, amount after 8 years is
[tex]A=P+I[/tex]
where, P is principal and I is interest.
[tex]A=640+199.68[/tex]
[tex]A=839.68[/tex]
Therefore, the amount after 8 years is $839.68.
It is possible to get 2 solutions when the system of equations is: (check all that apply)
A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
87% of 70 do not round
Answer:
60.9
Step-by-step explanation:
Solve by the substitution method.
-3x – 3y = 3
y=-5x – 17
Answer:
postive 6
Step-by-step explanation:cause negative plus a negative equals a postive
HELP PLEASE Can you please give an explication when you answer
The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C
Answer:
C. 6°C
Step-by-step explanation:
-3°C + 9°C = 6°C
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
A 400 milligrams
B 480 milligrams
C 550 milligrams
D 600 milligrams
Answer:
480 milligrams
Step-by-step explanation:
92 pounds → 320 milligrams
138 pounds → 320/92 x 138 = 480 milligrams
Will give brainliest if correct.
Answer:
y=(-9-2x)/3
Step-by-step explanation:
I need help with this slope problem
Answer:
what is it? you did not post the picture
Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025
its a because .25x4=1.00
Answer:
B. 1/4 and 0.0025
Step-by-step explanation:
what is the answer for x?
Answer:
x=5
Step-by-step explanation:
I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.
Hope this helped you : )
A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth
The answer is A. y=-3/4x+1/4
The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let the required equation of the line would be as:
y - y₁ = m(x - x₁)
Since the line passes through the point (–5, 4) and slope m = -3/4
So substitute the values in the above equation, and we
y - (-5) = (-3/4)(x - 4)
y + 5 = (-3/4)x - (-3/4)4
y + 5 = (-3/4)x + 3
y = (-3/4)x + 3 - 5
y = (-3/4)x - 2
Thus, the required equation of the line is y = (-3/4)x - 2.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
whats 851,708 to the nearest hundred-thousand
Answer:
900,000
Step-by-step explanation:
because when you round number from 1-4 you put it down example: 1223
round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000
Answer:
900,000
Step-by-step explanation:
Bc The Ten Thousandths place is over 4
In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF
what is 7-3+6+x equal ??
Answer:10+x
Step-by-step explanation:
Need help will mark brainliest
0Answer:
1) Exterior Angle Therorem
2) Isosceles Triangle Theorem
Step-by-step explanation:
(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8
See image attatched below for the options given
Answer:
it the first one cause you adding so it 8b plus 2
use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24
Step-by-step explanation:
It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.
If you divide 6 by 1/4, you will get 24.
If you divide 4 by 1/6, you will get 24.
How to create 1/4 from 1,3, and 4?
How to create 1/6 from 1,3, and 6?
Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!
So, the answer is 6/[1–3/4]=24.
Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation
Answer:
5 hours
Step-by-step explanation:
39 - 14 = 25
5 x 5 = 25
14 + 25 = 39
Answer:
5 hours
Step-by-step explanation:
John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.
Start by setting the equation,
$39.00= $5x + $14.00
Then solve by
1) subtracting 14 from both sides;
39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;
39 -14 = 5x becomes $25= 5x (39 -14 =25)
2) divide both sides by 5 to get x alone
25 (/5)=5x (/5) which becomes 25/5=x
3) 25/5 is 5
John must work 5 hours to have enough money to buy his video game.
393.3 in 10 years investment
Step-by-step explanation:
The question is not well structured. We can say;
$393.3 in 10 years investment at rate of 10% is equivalent to what?
Given
Amount invested = $393.3 (principal)
Time = 10years
Rate = 10% (assumed rate)
Required
Amount after 10 years
Amount = Principal + Interest
First we need to get the simple interest using the formula
SI = PRT/100
SI = $393.3 * 10 * 10/100
SI = $393.3*100/100
SI = $393.3
Amount in 10years = $393.3 + $393.3
Amount in 10years = $786.6
Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.
Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.
A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represents the length of the actual peace of land. What is i
Answer:
52metre
Step-by-step explanation:
Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is
( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]
But we need to convert those mixed fractions to improper fraction for easy simplification
1 1/4= [(4×1)+4]= 5/2
3 1/4=[(4×3)+1)]=13/4
Then we can proceed with simplification as
(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]
But we were given length of the actual peace of land as 20 cm, then
(5/2)/(13/4)=[blueprint of the plot of land/20]
If we cross multiply we have
[blueprint of the plot of land] ×13/4 =5/2 ×20
[blueprint of the plot of land] =(5/2 ×20)÷(13/4)
= 50/(13/4)
=(4×13)/50
= 52
Therefore, the length of the actual peace of land is 52metre
Answer: B) 52 miles
Step-by-step explanation:
solve for x:x+3.17=12.78
Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.
Answer:
C. The domain is greater than -3 and less than 7.
Step-by-step explanation:
Just like the other one
x is domain
< = less than
≤ = less than or equal to
Answer:
c
Step-by-step explanation:
should b. cause most true usagw 'the domain'
good luck
Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.
Answer:
Step-by-step explanation:
Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.
Since;
<B = <C = 60°
Then,
<A + <B + <C = [tex]180^{o}[/tex]
<A + 60° + 60° = [tex]180^{o}[/tex]
<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]
= 60°
Thus,
AB = BC = AC = 6 inches
The construction is attached to this answer.
What is the solution to the equation?
Answer:
-63
Step-by-step explanation:
What is the cost of making one burrito? (Remember that costs are negative.) Explain how you found your answer.
Answer:
it cost 5.99
Step-by-step explanation:
it all depends on the type of burrito
Graph the equation.
y-1 = -2(x-2)
Answer:
y-1 = -2(x-2) graph:
Answer:
Graph is below
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
2
y-intercept:
(
0
,
5
)
x
y
0
5
5
2
0
1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.
Answer:
1. 80%.
2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)
WILL MARK branniest answer if gotten right
Answer:
Line MN is the answer
Step-by-step explanation:
Image SQ as a line that extends forever, if you took line segment and also made it extend forever, then it would become parallel to line segment SQ, never touching or intersecting and going at the same angle.
Help, Its due in 15 minuets!
Answer:
All Congruent Angle Pairs
1) ∠1 and ∠3 are congruent **
2) ∠2 and ∠4 are congruent
3) ∠6 and ∠8 are congruent
4) ∠5 and ∠7 are congruent
5) ∠1 and ∠7 are congruent
6) ∠2 and ∠8 are congruent **
7) ∠3 and ∠5 are congruent
8) ∠4 and ∠6 are congruent **
Step-by-step explanation:
1) Vertical pairs
2) Vertical pairs
3) Vertical pairs
4) Vertical pairs
5) Alternate exterior angles
6) Alternate exterior angles
7) Alternate interior angles
8) Alternate interior angles
the pairs are
< 1 and < 3
< 4 and < 5
I think 2 and 8
If the sinø=7/12, what is cosø?
Answer:
If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]
Step-by-step explanation:
We are given sinФ = 7/12
We need to find cosФ
The basic trigonometric functions of right triangle are:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
We need values of adjacent and hypotenuse to find cosФ
Using Pythagoras theorem we can find the value of adjacent
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]
We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]
Inserting values and finding adjacent:
[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]
So, value of Adjacent is [tex]\sqrt{95}[/tex]
Now finding cosФ
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12
[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]
So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]