Answer:12
Step-by-step explanation:
8500 x 35% = 297.50 in simple interest per year
12000 - 8500 = 3500 in interest earned in total
3500/297.5 = 11.76 number of years to make total interest from amount per year.
If you round up, almost 12 years .
HƏĻP MƏ
Evaluate the expression when f= 125, 3/5(F - 20)
Answer:
63
Step-by-step explanation:
plug 125 in for 'f'
3/5(125-20) = 3/5 · 105 = 315/5 = 63
Seven values on the number line above are marked with letters. Match the opposites.
A) U and Z; W and X; V and Y
B) U and V; W and X; Y and Z
C) U and G; W and Y; V and X
D) U and Z; W and Y; V and X
Answer:
a
Step-by-step explanation:
hope this helps yout just have to put the negative letters with the positive!!!
Given the exponential equation 3* = 243, what is the logarithmic form of the equation in base 10? (5 points)
log, 243
log, 3
log, 3
log, 243
log,03
log, 243
log, 243
Answer:
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Step-by-step explanation:
Given
[tex]3^x = 243[/tex]
Required
Express as a logarithm
[tex]3^x = 243[/tex]
Take log of both sides
[tex]log\ 3^x = log\ 243[/tex]
Apply the following law of logarithm
[tex]log\ a^b = b\ log\ a[/tex]
So, the expression becomes:
[tex]log\ 3^x = log\ 243[/tex]
[tex]x\ log\ 3 = log\ 243[/tex]
Divide both sides by log 3
[tex]\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}[/tex]
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Hence, the expression in base 10 is:
[tex]x = \frac{log\ 243}{log\ 3}[/tex] or [tex]x = \frac{log_{10}\ 243}{log_{10}\ 3}[/tex]
Solve for x x/6=9
X=15
X=3
X=1.5
X=54
A. The slope of the line will change from positive to negative
B. The slope of the line will change from negative to positive
C. The y-intercept of the line will change from positive to negative
D. The y-intercept of the line will change from negative to positive
Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
Purchasing a TV that is 20% off will save $180.
a. Name the different parts with the words: PART, WHOLE, PERCENT.
20% off
S180
Original Price
b.
What was the original price of the TV? Show two methods for finding your answer.quick
______________________________
O = D × P ÷ 100= 20% × $180 ÷ 100= $36= $180 + $36= $216______________________________
Maria invests $600 in bank account that earns simple interest. She earns $30 at the end of 12 months. Janae invests $350 at the same rate of interest for 12 months. How much money will Janae earn on her $350 investment after. 12 months?
A. 5.00
B. 12.50
C.17.50
D.47.50
If your percent of discount is 25% and your sales price is $40, what is your original price? Please show me how you got your answer.
Answer:
$50
Step-by-step explanation:
40x1.25=50
price with discount X Discount price to undo it= Original price
area of a circle, diameter = 16.8cm
Answer:
Step-by-step explanation:
Area of circle=Pi times radius^2
Diameter is half of radius=8.4
Pi*8.4^2=221.670777637
Hope this helps!
Answer:
221.56 cm^2 or 70.56pi
Step-by-step explanation:
Area of a circle = pi*radius^2
Radius = diameter/2, radius = 8.4
3.14(8.4)^2 = 221.56 cm squared, or 70.56pi
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What is the slope of the line that passes through the points (3, 5) and (-1, 5)
Answer:
0
Step-by-step explanation:
solve with y2-y1 / x2-x1
5-5 is 0
-1-3 is -4
0/4 is 0
slope is 0
A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution. She wants to mix the two solutions to get 100 ml of a 4% acid solution. Follow the steps below to find how much of each solution she should use.
Part 2 out of 3
Use the information in the table to write a system of equations.
Answer:
12% alkaline
Step-by-step explanation:
The amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.
Given to us
A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution.
She wants to mix the two solutions to get 100 ml of a 4% acid solution.
Assumption
Let the amount of 1% acid solution be x ml, and the amount of 5% acid solution be y ml.
Total Amount of the Final SolutionAs the chemist wants to mix the two solutions to make 100 ml of solutions, therefore,
amount of 1% acid solution + amount of 5% acid solution = 100ml
x + y = 100.....equation 1
Solving for y,
y = 100 - x
What is the % of the acid in the mixture?We know that the mixture is having a 4% concentration and is 100 ml in volume.
[tex](1\%)x+(5\%)y = (4\%)100\\0.01x+0.05y=0.04\times 100\\[/tex]
Substitute the value of y,
[tex]0.01x+0.05(100-x)=0.04\times 100\\\\0.01x + (0.05\times 100)-(0.05\times x) = 4\\\\0.01x + 5 -0.05x =4\\\\0.01x-0.05x = 4-5\\\\0.04x = 1\\\\x=\dfrac{1}{0.04}\\\\x = 25\ ml[/tex]
Substitute the value of x in equation y,
[tex]x+y = 100\\25 +y =100\\y = 100-25\\y=75\ ml[/tex]
Hence, the amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.
Learn more about the System of equations:
https://brainly.com/question/12895249
Which expression is equivalent to
5x + 2(3x - 4) + 10
!! please explain !!
Answer:
11x+2
Step-by-step explanation:
Answer:
11x=+2
Step-by-step explanation:
5x+2(3x-4)+10
5x+(2*3x-2*4)+10
5x+(6x-8)+10
5x+6x-8+10
=11x=2
g(x) = 4x+5; find g(5)
Hello!
[tex]\large\boxed{g(5) = 25}[/tex]
If g(x) = 4x + 5, find g(5) by substituting 5 for x:
g(5) = 4(5) + 5
Simplify:
g(5) = 20 + 5
g(5) = 25
The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +
2t - 80. The cost in dollars, of producing the video game systems can be modeled by 5.22 -+ 100, where x is the
number of video game systems sold. If profit is the difference between the revenue and the cost, what expression
represents the profit?
Profit can be modeled by the polynomial expression
If 1,000 video game systems are sold, the company's profit is $
Answer:
1). Profit = 3x - 180
2) Profit of selling 1000 video games = $2820
Step-by-step explanation:
Expression for the revenue = 5x² + 2x - 80
Expression for the production cost of the video games = 5x² - x + 100
Since, profit is the difference between the revenue and the cost,
Expression for the profit will be,
Profit = Revenue - Cost
= (5x² + 2x - 80) - (5x² - x + 100)
= 5x² + 2x - 80 - 5x² + x - 100
= 3x - 180
Here, x = Number of video games sold
If number of video games sold = 1000
Profit = (3×1000) - 180
= 3000 - 180
= $2820
Please answer this correctly without making mistakes
Answer:
I am not quite sure but I say 2 quarts and 15 pints.
Write an explicit formula for An, the nth term of the sequence 3,9, 27, ...
Step-by-step explanation:
Apparently the common ratio is
3
Explanation:
The 2nd term is 3
the 3rd=9=3²
the 4th= 27=3³
To get to the n
th term we will have to multiply n−1
times by 3
Or: tn=3n−1
There are 20 pens in a box. Eighteen (18) of the pens are black. The other 2 pens are red. What percentage of the pens are black?
Answer: 90%
Step-by-step explanation: All u gotta do is 18/20. You get .9 and u just add a 0 at the end
Is it linear or exponential
Select the correct answer!! PLEASE HELP!!
Answer:
A
2√2 * 7√18
=84
.................
is a aquarium gallon quart pint or cup
Three is 7 more than one-fifth of a number.
Answer:
3=1/5x+7
Step-by-step explanation:
when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer
determine the ratio a:c if a:b=1:2 and b:c=3:4
Step-by-step explanation:
(a/b*b/c=1/2*3/4)(a/c=3/8)
A tank has 82 3/4 litres of water, 24 4/5 litres were used, and the tank was filled with another 18 3/4 litres. What is the final volume of the water in the tank?
Answer:
76 14/20
(76 7/10) simplified
Step-by-step explanation:
First we make the denominator of the fraction equal
82 15/20
24 16/20
18 15/20
We then subtract
82 15/20 - 24 16/20
81 35/20 - 24 16/20 =
57 19/20
Then we add
57 19/20 + 18 15/20=
76 14/20
(76 7/10) simplified
Write the equation of the line graphed below.
Answer:
a
Step-by-step explanation:
PLEASE HELP ME FAST!!
Determine each number by writing a proportion. Round to the nearest tenth if necessary.
What is 10% of 120?
Answer:
10% of 120 is 12
Step-by-step explanation:
your answer is 12
Answer:
12
Step-by-step explanation:
10% of 120 = 10% x 120
= 0.1 x 120
= 12
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Answer:
Yes, it is.
Step-by-step explanation:
Answer:
Yes sir
Step-by-step explanation:
what is the equation, in point-slope form, that is perpendicular to the given line and passes through the point (-4,-3)?
Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️First, find the slope of the given line on the graph that it is perpendicular to:
Slope (m) = ∆y/∆x = -4/1 = -4
Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of -4.
The negative reciprocal of -4 = ¼
✔️Find the equation in point-slope form, y - b = m(x - a) using slope and a point on the line:
Substitute m = ¼, (a, b) = (-4, -3) into y - b = m(x - a):
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)
What is the total area of the figure below?
