Answer:
A = $ 7,449.23
A = P + I where
P (principal) = $ 5,000.00
I (interest) = $ 2,449.23
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)(^1/nt) - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Formulas where n = 1 (compounded once per period or unit t)
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r)^t
Calculate Principal Amount, solve for P
P = A / (1 + r)^t
Calculate rate of interest in decimal, solve for r
r = (A/P)1/t - 1
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)
Continuous Compounding Formulas (n → ∞)
Calculate Accrued Amount (Principal + Interest)
A = Pe^rt
Calculate Principal Amount, solve for P
P = A / ert
Calculate rate of interest in decimal, solve for r
r = ln(A/P) / t
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / r
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.
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.
what is 7-3+6+x equal ??
Answer:10+x
Step-by-step explanation:
Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
proper fraction
Step-by-step explanation:
help i’m timed pllzzzzz
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Will give brainliest if correct.
Answer:
y=(-9-2x)/3
Step-by-step explanation:
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
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)
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
solve for x:x+3.17=12.78
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.)
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
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 solution to the equation?
Answer:
-63
Step-by-step explanation:
87% of 70 do not round
Answer:
60.9
Step-by-step explanation:
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
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
PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U
In parallelogram WXYZ, the shorter sides are half the length of the longer sides.
Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.
Which statements are true? CHECK ALL THAT APPLY.
A. Quadrilateral WXYZ is a rectangle.
B. The quadrilateral has opposite sides that are parallel.
C. The quadrilateral has opposite angles that are congruent.
D. If W X = 12 in., then X Y = 6 in.
E. Side WZ must be 12 inches.
F. mAngle Z = measure of angle X
G. Measure of angle W = 120 degrees
H. Measure of angle Z = 120 degrees
Answer:
B
E
H
I think this is right
For the given parallelogram following statements are true
B. The quadrilateral has opposite sides that are parallel
F. Measure of angle Z = Measure of angle X
G. Measure of angle of W =120 degrees
What is parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides
Given,
Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W
Draw the figure using the the data
Using the figure we can say that
The quadrilateral has opposite sides that are parallel
Measure of angle Z = Measure of angle X
Measure of angle of W =120 degrees
Hence, the correct options are B,F and G
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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
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
I need help with this slope problem
Answer:
what is it? you did not post the picture
( − .3 s − 2 ) + 2 ( 5 − 3.4 s )
Answer:
−7.1s+8
Step-by-step explanation:
First Distribute
=−0.3s+−2+(2)(5)+(2)(−3.4s)
=−0.3s+−2+10+−6.8s
Combine Like Terms:
=−0.3s+−2+10+−6.8s
=(−0.3s+−6.8s)+(−2+10)
=−7.1s+8
Answer:
−
7.1
s
+
8Step-by-step explanation:
−7.1s+8
(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
Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?
Answer:
11 months
Step-by-step explanation:
Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.
Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.
He needs $550, to the equation is:
50x=550
We need to isolate x, so we divide both sides by 50.
x=11
It will take Nate 11 months to save for the trip.
Answer:
11 months
Step-by-step explanation:
850-300=550
550÷50=11
Need help will mark brainliest
0Answer:
1) Exterior Angle Therorem
2) Isosceles Triangle Theorem
Step-by-step explanation:
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:
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Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !
Answer:
2nd Option
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 : )
In the fraction 7/8 , the Numerator Denominator is 7.
Answer:
The numerator
Step-by-step explanation:
numerator is the top
denominator is the bottom