Answer:
7.85 years which I think rounds to about 7 years and 11 months
Step-by-step explanation:
The formula for compound interest is
[tex]AV=PV*(1+\frac{i}{n})^{t*n}[/tex]
Where AV = Accumulated Value (or Future value)
PV= Present value
i= nominal interest rate
n= number of times compunded in a period (here a period is a year)
t= number of periods (years in this case)
We can plug this numbers in to get
8000=5000*(1+(.06/12))^12x
First we divide by 5000 to get
1.6=(1.005)^12x
We can rewrite this into a logarithim
log₁.₀₀₅1.6=12x
The formatting here is kind of weird but I'm trying to say that log base 1.005 1.6 = 12x
We can compute this and get
94.2355=12x
divide by 12 to get that
x=7.85 Years
Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month, and she will be making this purchase on the last day of the month. If her finance charge will be $51, write and solve an equation to determine her current balance on her credit card.
Answer:
Average date*Interest=Finance charge
Previous debt*2%´+1400*2%=51
Previous debt=1150
Step-by-step explanation:
X=Previus Debt
Debt= Previus debt + 1400
Finance Charge 51.
Debt=1400+1150= 2550
Average debt= Previus debt + 1400
Average date*Interest=Finance charge
Previous debt*2%´+1400*2%=51
Previous debt=1150
Interest capital Debt Payment
1 51 213 2,338 264
2 47 213 2,125 259
3 43 213 1,913 255
4 38 213 1,700 251
5 34 213 1,488 247
6 30 213 1,275 242
7 26 213 1,063 238
8 21 213 850 234
9 17 213 638 230
10 13 213 425 225
11 9 213 213 221
12 4 213 0 21
express 4037 in standard form
Answer: 4.037 × 10³
Step-by-step explanation:
If you simplify 4.037 × 10³, you get 4037
4.037 × 10³
4.037 × 1000
4037
Hope this helped!
What is the area of the rectangle with points of (-5,5) (-1,7) (0,-5) (4,-3)
Answer
l =5
w =2
Area of Rectangle= l × w
= 5 × 2 = 10
Diagram is attached to this:
Step-by-step explanation:
PLEASE HELP ME ASAP! IM SUPERRR CONFUSED
HOW DO I SOLVE
18 = x – 9
????????
Answer: 27
Explanation: This question is pretty easy, no hard math involved. all you need to do is 18+9
If x = 10 and y = -5, then what is the value of 9x - 3y - 12?
Answer:
93
Explanation:
x = 10y = -59x - 3y - 12
Substitute 10 for x and -5 for y9(10) - 3(-5) - 12
= 93
4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?
Answer:
14400 gallons of gas
Step-by-step explanation:
Simple math question (Pic provided) (Algebra)
Answer:m<k+m<k=180+167-133=100
Step-by-step explanation:
Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.
Explanation:
There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.
I have attached the answer in the picture.
Find Equations for the line
Answer:
Step-by-step explanation:
(-3, -1) and (3, 2)
(2 + 1)/(3+3)= 3/6= 1/2
y + 1 = 1/2(x + 3)
y + 2/2 = 1/2x + 3/2
y = 1/2x + 1/2
Evaluate the expression if x=6.7x
Answer: x=1
Step-by-step explanation: x=6.7(x)
The ratio of boys to girls at a movie is 4:5. If there are 15 girls, how many boys are at the movie?
Answer:
There are 12 boys at the movie.
Step-by-step explanation:
Key skills needed in order to solve: Proportions, Ratios, and Multiplication
1) The ratio is 4 boys : 5 girls --> It can be written as a fraction --> 4/5
2) If there are 15 girls, we need to find the number of boys. let's say x is the number of boys when there are 15 girls. The ratio would then be x/15
3) Make a proportion --> [tex]\frac{4}{5}[/tex] = [tex]\frac{x}{15}[/tex]
You have to cross multiply here. You do the first fraction's numerator times the second fraction's denominator, and the first fraction's denominator times the second fraction's numerator.
4) This means you have to do: 4(15) = 5(x)
5) Multiply it out --> 60=5x
6) Divide by 5 and you will get x=12
Therefore there are 12 boys at the movie.
Hope you understand and have a nice day!! :D
Which expression gives the best estimate of 30 percent of 61?
1/5(60)
1/10(60)
1/4(60)
1/2(60)
Answer:
The answer is 1/5 (60)
Why does it have be at least 20 words before I can send it
Answer: C is correct also 1/4(60)
Step-by-step explanation:
ur welcome buddo
Which expression is a sum of a number and product. Answers. .8+3x .X+1 over 5 2(x-9). 5+x-4
Answer:
8 + 3x
Step-by-step explanation:
A product is a multiplication, such as 3 * 5, 2x, 4y.
3x is a product.
8 + 3x is the sum of the number 8 and the product 3x.
Answer: 8 + 3x
Solve the equation. k − 34 = 71
Answer:
105
Step-by-step explanation:
[tex]k − 34 = 71 \\ \\ k = 71 + 34 \\ \\ k = 105[/tex]
Answer:
k=105
Step-by-step explanation:
34+71=105
Exchange rates help you to know ____.
when it is best to travel
how much your currency is worth in another currency
what other economies think of your money
when to exchange your money
Answer:
B
Step-by-step explanation:
how much your currency is worth in a different currency
hope this helps <3
p=7q-3 make q the subject
Answer:
q = (P + 3) / 7
Step-by-step explanation:
Give the expression :
P=7q-3
To make q the subject
Isolate 7q by adding 3 to both sides
P + 3 = 7q + 3
P + 3 = 7q
To. Isolate q alone, multiply both sides by 1/7
(P + 3) * 1/7 = 7q * 1/7
(P + 3) / 7 = q
q = (P + 3) / 7
Slope = 3/4 and y intercept of 1
Answer:
It's in the attached file below :)
Step-by-step explanation:
What is the perimeter of ABC with vertices A (-2,9) , B (7,-3) , C (-2,-3) in the coordinate plane?
A. 21 units
B. 15 units
C. 34 units
D. 36 units
9514 1404 393
Answer:
D. 36 units
Step-by-step explanation:
Using the distance formula, we find the length of AB to be ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15
The line BC is horizontal, so its length is the difference of the x-coordinates:
BC = 7 -(-2) = 9
The line AC is vertical, so its length is the difference of the y-coordinates:
AC = 9 -(-3) = 12
The sum of the lengths of the sides of the triangle is ...
P = 15 + 9 + 12 = 36
The perimeter is 36 units.
i hate callmecarson
he is so mean and evil
Answer:
who is he and what has he done, if you don't mind me asking
help MEEEEEE PLEASEEEEEEE
Answer:
4 1/3 hours
Step-by-step explanation:
Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far
Can someone please help me with numbers 4 and 5!!!
Answer:
Area: 378.5
Perimeter: 71.4
Step-by-step explanation:
Area = 3 square + 2 semicircle
A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5
perimeter = 2 square/2 + 2circle/2
P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4
The difference between 16.03 and 7.385 is …….
Need help asap
Answer:
8.645
Step-by-step explanation:
use the algorithim to show your work :
16.03
- 7.385
8.645
don't forget to line up the decimal points
Can anyone help please
Answer:
16 cups
Step-by-step explanation:
8 fluid ounces in 1 cup
So 128/8=16
16 cups
The price of an item has been reduced h 45% the original price was $49
Answer:
$26.95, you save $22.05
Step-by-step explanation:
$49 x 0.45 = $22.05 savings, 49 - 22.05 = 26.95
which expression are eguivalent to x+2y+x+2
Answer:
2x + 2y + 2
Step-by-step explanation:
x + 2y + x + 2
1. Combine like terms
x + x = 2x
there is only one y and one number w.out variable so you cannot combine anything else
2x + 2y + 2
and u cannot simplify it anymore
Hope this helped!
If someone was to conduct a study in the field of microeconomics, which of the following questions might the arrempt to answer?
Answer:
When will a firm decision expand, downsize, or close?
hope this helps!!:)
Step-by-step explanation:
1)10 = z+ 6
2) 8y = 48
3) q-12 = 1
6)11 = m-4
7)t-19=2
8)1+S = 3
9)24 = 4c
Please explain how these are solved please respond quickly
which ratios are equivalent to 12:24? I have to select each correct answer.
Answer: 1:2, 2:4, 3:6, 4:8, 5:10, 6:12, 7:14, 8:16, 9:18, 10:20, 11:22, 13:26, 14:28, 15:30
Step-by-step explanation:
These r just a few.
Hope this helps :)
Evaluate the function.
Given f(x) = x2 - 4x2 - 3x - 5, find f(5).
Answer:
5
Step-by-step explanation:
Write your answer with no space and any fraction with “/“
Answer:
y+3=-1/2(x-1)
Step-by-step explanation:
Point-slope form of a line is given by the equation y - b = m(x - a), where,
(a, b) = is a point on the line
m = slope of the line.
A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.
The slope of the line, y = 2x - 1, is 2.
The negative reciprocal of 2 = -½.
The slope of the line that is perpendicular to y = 2x - 1 is -½.
Thus, m = -½.
Let's find the equation of the perpendicular if it passes through the point (1, -3).
Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).
Thus:
y - (-3) = -1/2(x - 1)
y+3=-1/2(x-1)